Metrics for sqrt(x + 9)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
100%	50%	0%	50%	0%	0%	0%	1

Compiler

Compiled 15 to 12 computations (20% saved)

sample1.2s (30.5%)

Memory

107.3MiB live, 584.4MiB allocated

Samples

516.0ms	4 013×	1	valid
305.0ms	4 243×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 619.0ms

ival-sqrt: 246.0ms (39.7% of total)

ival-<=: 116.0ms (18.7% of total)

ival-add: 87.0ms (14.1% of total)

adjust: 80.0ms (12.9% of total)

ival-sub: 60.0ms (9.7% of total)

exact: 14.0ms (2.3% of total)

ival-and: 12.0ms (1.9% of total)

ival-assert: 4.0ms (0.6% of total)

Bogosity

explain176.0ms (4.3%)

Memory

-33.0MiB live, 139.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
128	-	-	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))`
0	-	-	`(sqrt.f64 (+.f64 x #s(literal 9 binary64)))`
0	-	-	`(sqrt.f64 x)`
0	-	-	`(+.f64 x #s(literal 9 binary64))`
0	-	-	`#s(literal 9 binary64)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))`	cancellation	128	0

Confusion

	Predicted +	Predicted -
+	128	0
-	0	128

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	128	0	0
-	0	0	128

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	128
1	128

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

64.0ms	254×	1	valid
15.0ms	258×	0	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

adjust: 40.0ms (65.8% of total)

ival-sqrt: 12.0ms (19.7% of total)

ival-add: 5.0ms (8.2% of total)

ival-sub: 4.0ms (6.6% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

preprocess83.0ms (2%)

Memory

-17.1MiB live, 34.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	17	17
2	40	16
3	74	16
4	125	16
5	185	16
6	209	16
7	220	16
0	6	7
0	10	7
1	13	7
2	18	7
3	24	7
4	32	7
5	47	7
6	80	7
7	110	7
8	159	7
9	175	7
10	183	7
0	183	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(-.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))

Outputs
(-.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 #s(literal 9 binary64) x)) (sqrt.f64 x))

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.9%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify10.0ms (0.2%)

Memory

12.3MiB live, 12.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(+.f64 x #s(literal 9 binary64))
cost-diff	0	(sqrt.f64 (+.f64 x #s(literal 9 binary64)))
cost-diff	0	(-.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	13	18
2	18	18
3	24	18
4	32	18
5	47	18
6	80	18
7	110	18
8	159	18
9	175	18
10	183	18
0	183	18

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))
(sqrt.f64 (+.f64 x #s(literal 9 binary64)))
(+.f64 x #s(literal 9 binary64))
x
#s(literal 9 binary64)
(sqrt.f64 x)

Outputs
(-.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 #s(literal 9 binary64) x)) (sqrt.f64 x))
(sqrt.f64 (+.f64 x #s(literal 9 binary64)))
(sqrt.f64 (+.f64 #s(literal 9 binary64) x))
(+.f64 x #s(literal 9 binary64))
(+.f64 #s(literal 9 binary64) x)
x
#s(literal 9 binary64)
(sqrt.f64 x)

localize34.0ms (0.8%)

Memory

49.7MiB live, 49.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x #s(literal 9 binary64))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.00390625	(sqrt.f64 (+.f64 x #s(literal 9 binary64)))
accuracy	30.15561508987927	(-.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))

Samples

17.0ms	127×	1	valid
9.0ms	129×	0	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-sqrt: 7.0ms (44.8% of total)

adjust: 3.0ms (19.2% of total)

ival-add: 3.0ms (19.2% of total)

ival-sub: 2.0ms (12.8% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated

Counts

4 → 28

Calls

Call 1

Inputs
(-.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))
(sqrt.f64 (+.f64 x #s(literal 9 binary64)))
(+.f64 x #s(literal 9 binary64))
(sqrt.f64 x)

Outputs
(- 3 (sqrt x))
(- (+ 3 (* 1/6 x)) (sqrt x))
(- (+ 3 (* x (+ 1/6 (* -1/216 x)))) (sqrt x))
(- (+ 3 (* x (+ 1/6 (* x (- (* 1/3888 x) 1/216))))) (sqrt x))
3
(+ 3 (* 1/6 x))
(+ 3 (* x (+ 1/6 (* -1/216 x))))
(+ 3 (* x (+ 1/6 (* x (- (* 1/3888 x) 1/216)))))
9
(+ 9 x)
(sqrt x)
(* 9/2 (sqrt (/ 1 x)))
(/ (+ (* -81/8 (sqrt (/ 1 x))) (* 9/2 (sqrt x))) x)
(/ (+ (* -81/8 (sqrt (/ 1 x))) (+ (* 9/2 (sqrt x)) (* 729/16 (sqrt (/ 1 (pow x 3)))))) x)
(/ (+ (* -32805/128 (sqrt (/ 1 (pow x 5)))) (+ (* -81/8 (sqrt (/ 1 x))) (+ (* 9/2 (sqrt x)) (* 729/16 (sqrt (/ 1 (pow x 3))))))) x)
(* x (+ (sqrt (/ 1 x)) (* 9/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -81/8 (sqrt (/ 1 (pow x 5)))) (* 9/2 (sqrt (/ 1 (pow x 3)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -81/8 (sqrt (/ 1 (pow x 5)))) (+ (* 9/2 (sqrt (/ 1 (pow x 3)))) (* 729/16 (sqrt (/ 1 (pow x 7))))))))
x
(* x (+ 1 (* 9 (/ 1 x))))
(* -9/2 (sqrt (/ 1 x)))
(* -1 (/ (+ (* -81/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 9/2 (sqrt x))) x))
(* -1 (/ (+ (* -81/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 9/2 (sqrt x)) (* 729/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))))) x))
(* -1 (/ (+ (* -32805/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* -81/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 9/2 (sqrt x)) (* 729/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4))))))) x))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 9/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -81/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 9/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -81/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 9/2 (sqrt (/ 1 (pow x 3)))) (+ (* 729/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((- (sqrt (+ x 9)) (sqrt x)) (sqrt (+ x 9)) (+ x 9) (sqrt x))
2.0ms	x	@	inf	((- (sqrt (+ x 9)) (sqrt x)) (sqrt (+ x 9)) (+ x 9) (sqrt x))
1.0ms	x	@	0	((- (sqrt (+ x 9)) (sqrt x)) (sqrt (+ x 9)) (+ x 9) (sqrt x))

simplify239.0ms (5.9%)

Memory

24.8MiB live, 59.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	117	452
1	297	400
2	819	394
3	2434	388
4	5007	388
0	8242	352

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 27

Calls

Call 1

Inputs
(- 3 (sqrt x))
(- (+ 3 (* 1/6 x)) (sqrt x))
(- (+ 3 (* x (+ 1/6 (* -1/216 x)))) (sqrt x))
(- (+ 3 (* x (+ 1/6 (* x (- (* 1/3888 x) 1/216))))) (sqrt x))
3
(+ 3 (* 1/6 x))
(+ 3 (* x (+ 1/6 (* -1/216 x))))
(+ 3 (* x (+ 1/6 (* x (- (* 1/3888 x) 1/216)))))
9
(+ 9 x)
(sqrt x)
(* 9/2 (sqrt (/ 1 x)))
(/ (+ (* -81/8 (sqrt (/ 1 x))) (* 9/2 (sqrt x))) x)
(/ (+ (* -81/8 (sqrt (/ 1 x))) (+ (* 9/2 (sqrt x)) (* 729/16 (sqrt (/ 1 (pow x 3)))))) x)
(/ (+ (* -32805/128 (sqrt (/ 1 (pow x 5)))) (+ (* -81/8 (sqrt (/ 1 x))) (+ (* 9/2 (sqrt x)) (* 729/16 (sqrt (/ 1 (pow x 3))))))) x)
(* x (+ (sqrt (/ 1 x)) (* 9/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -81/8 (sqrt (/ 1 (pow x 5)))) (* 9/2 (sqrt (/ 1 (pow x 3)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -81/8 (sqrt (/ 1 (pow x 5)))) (+ (* 9/2 (sqrt (/ 1 (pow x 3)))) (* 729/16 (sqrt (/ 1 (pow x 7))))))))
x
(* x (+ 1 (* 9 (/ 1 x))))
(* -9/2 (sqrt (/ 1 x)))
(* -1 (/ (+ (* -81/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 9/2 (sqrt x))) x))
(* -1 (/ (+ (* -81/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 9/2 (sqrt x)) (* 729/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))))) x))
(* -1 (/ (+ (* -32805/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* -81/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 9/2 (sqrt x)) (* 729/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4))))))) x))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 9/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -81/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 9/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -81/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 9/2 (sqrt (/ 1 (pow x 3)))) (+ (* 729/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))

Outputs
(- 3 (sqrt x))
(-.f64 #s(literal 3 binary64) (sqrt.f64 x))
(- (+ 3 (* 1/6 x)) (sqrt x))
(fma.f64 #s(literal 1/6 binary64) x (-.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(- (+ 3 (* x (+ 1/6 (* -1/216 x)))) (sqrt x))
(fma.f64 (fma.f64 #s(literal -1/216 binary64) x #s(literal 1/6 binary64)) x (-.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(- (+ 3 (* x (+ 1/6 (* x (- (* 1/3888 x) 1/216))))) (sqrt x))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3888 binary64) x #s(literal -1/216 binary64)) x #s(literal 1/6 binary64)) x (-.f64 #s(literal 3 binary64) (sqrt.f64 x)))
3
#s(literal 3 binary64)
(+ 3 (* 1/6 x))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 3 binary64))
(+ 3 (* x (+ 1/6 (* -1/216 x))))
(fma.f64 (fma.f64 #s(literal -1/216 binary64) x #s(literal 1/6 binary64)) x #s(literal 3 binary64))
(+ 3 (* x (+ 1/6 (* x (- (* 1/3888 x) 1/216)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3888 binary64) x #s(literal -1/216 binary64)) x #s(literal 1/6 binary64)) x #s(literal 3 binary64))
9
#s(literal 9 binary64)
(+ 9 x)
(+.f64 #s(literal 9 binary64) x)
(sqrt x)
(sqrt.f64 x)
(* 9/2 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 9/2 binary64))
(/ (+ (* -81/8 (sqrt (/ 1 x))) (* 9/2 (sqrt x))) x)
(/.f64 (fma.f64 #s(literal -81/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 9/2 binary64) (sqrt.f64 x))) x)
(/ (+ (* -81/8 (sqrt (/ 1 x))) (+ (* 9/2 (sqrt x)) (* 729/16 (sqrt (/ 1 (pow x 3)))))) x)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 729/16 binary64) (fma.f64 #s(literal -81/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 9/2 binary64) (sqrt.f64 x)))) x)
(/ (+ (* -32805/128 (sqrt (/ 1 (pow x 5)))) (+ (* -81/8 (sqrt (/ 1 x))) (+ (* 9/2 (sqrt x)) (* 729/16 (sqrt (/ 1 (pow x 3))))))) x)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -32805/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 729/16 binary64) (fma.f64 #s(literal -81/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 9/2 binary64) (sqrt.f64 x))))) x)
(* x (+ (sqrt (/ 1 x)) (* 9/2 (sqrt (/ 1 (pow x 3))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 9/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -81/8 (sqrt (/ 1 (pow x 5)))) (* 9/2 (sqrt (/ 1 (pow x 3)))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -81/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 9/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -81/8 (sqrt (/ 1 (pow x 5)))) (+ (* 9/2 (sqrt (/ 1 (pow x 3)))) (* 729/16 (sqrt (/ 1 (pow x 7))))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 729/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -81/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 9/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)
x
(* x (+ 1 (* 9 (/ 1 x))))
(+.f64 #s(literal 9 binary64) x)
(* -9/2 (sqrt (/ 1 x)))
(*.f64 #s(literal -9/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1 (/ (+ (* -81/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 9/2 (sqrt x))) x))
(/.f64 (fma.f64 #s(literal -81/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -9/2 binary64) (sqrt.f64 x))) x)
(* -1 (/ (+ (* -81/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 9/2 (sqrt x)) (* 729/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))))) x))
(/.f64 (fma.f64 (/.f64 #s(literal -729/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal -81/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -9/2 binary64) (sqrt.f64 x)))) x)
(* -1 (/ (+ (* -32805/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* -81/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 9/2 (sqrt x)) (* 729/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4))))))) x))
(/.f64 (fma.f64 (/.f64 #s(literal -729/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal 32805/128 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal -81/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -9/2 binary64) (sqrt.f64 x))))) x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* x (+ (* 9/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 #s(literal -9/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(* -1 (* x (+ (* -81/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 9/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 #s(literal -9/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -81/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* -1 (* x (+ (* -81/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 9/2 (sqrt (/ 1 (pow x 3)))) (+ (* 729/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(*.f64 (fma.f64 (/.f64 #s(literal -729/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (fma.f64 #s(literal -9/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -81/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)

rewrite246.0ms (6%)

Memory

-146.7MiB live, 52.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	10	16
1	43	16
2	296	16
3	3343	16
0	8962	16

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

4 → 314

Calls

Call 1

Inputs
(-.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))
(sqrt.f64 (+.f64 x #s(literal 9 binary64)))
(+.f64 x #s(literal 9 binary64))
(sqrt.f64 x)

Outputs
(.f64 (pow.f64 (/.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 9 binary64) x))) (-.f64 (pow.f64 (+.f64 #s(literal 9 binary64) x) #s(literal 2 binary64)) (.f64 x x))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 #s(literal 9 binary64) x) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 9 binary64) x))) (-.f64 (pow.f64 (+.f64 #s(literal 9 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (+.f64 (+.f64 #s(literal 9 binary64) x) x) (pow.f64 (+.f64 #s(literal 9 binary64) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 9 binary64) x)) (+.f64 (+.f64 #s(literal 9 binary64) x) x)) (-.f64 (pow.f64 (+.f64 #s(literal 9 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 9 binary64) x) #s(literal 3/2 binary64))) #s(literal -1 binary64)))
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(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 531441 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal 6561 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x #s(literal 9 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 531441 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 729 binary64)) (fma.f64 x (-.f64 x #s(literal 9 binary64)) #s(literal 81 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 387420489 binary64) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 531441 binary64)) (*.f64 #s(literal -729 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x #s(literal 9 binary64)) #s(literal 81 binary64))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 x x #s(literal -81 binary64))) (sqrt.f64 (+.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 (sqrt.f64 (-.f64 x #s(literal 9 binary64))) (sqrt.f64 (fma.f64 x (-.f64 x #s(literal 9 binary64)) #s(literal 81 binary64)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal -81 binary64)))) (.f64 (sqrt.f64 (fma.f64 x (-.f64 x #s(literal 9 binary64)) #s(literal 81 binary64))) (sqrt.f64 (-.f64 x #s(literal 9 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x #s(literal 9 binary64))) (*.f64 (-.f64 x #s(literal 9 binary64)) #s(literal 81 binary64))) (pow.f64 (-.f64 x #s(literal 9 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 6561 binary64)) (*.f64 (-.f64 x #s(literal 9 binary64)) (fma.f64 x x #s(literal 81 binary64))))
(/.f64 (-.f64 #s(literal 81 binary64) (*.f64 x x)) (-.f64 #s(literal 9 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 #s(literal 9 binary64) x) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 531441 binary64)) (.f64 (-.f64 x #s(literal 9 binary64)) (+.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 6561 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 531441 binary64)) (*.f64 (fma.f64 x (-.f64 x #s(literal 9 binary64)) #s(literal 81 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 729 binary64))))
(/.f64 (+.f64 #s(literal 387420489 binary64) (pow.f64 x #s(literal 9 binary64))) (.f64 (fma.f64 x (-.f64 x #s(literal 9 binary64)) #s(literal 81 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 531441 binary64)) (.f64 #s(literal -729 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -81 binary64))) (fma.f64 #s(literal -1 binary64) x #s(literal 9 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 9 binary64)) #s(literal 81 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 9 binary64) x) (-.f64 #s(literal 81 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 9 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 9 binary64) x) #s(literal -1 binary64)))
(/.f64 (fma.f64 x x #s(literal -81 binary64)) (pow.f64 (-.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 x x #s(literal -81 binary64)) (-.f64 x #s(literal 9 binary64)))
(/.f64 (+.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x #s(literal 9 binary64)) #s(literal 81 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x #s(literal 9 binary64)) #s(literal 81 binary64)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal -81 binary64))) (-.f64 x #s(literal 9 binary64))))
(neg.f64 (/.f64 (neg.f64 (+.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x #s(literal 9 binary64)) #s(literal 81 binary64))))
(neg.f64 (/.f64 (fma.f64 x x #s(literal -81 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal 9 binary64))))
(neg.f64 (/.f64 (+.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 9 binary64)) #s(literal 81 binary64)))))
(fma.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 9 binary64))
(fma.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 9 binary64))
(fma.f64 (pow.f64 (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (sqrt.f64 x) #s(literal 9 binary64))
(fma.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 9 binary64))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 729 binary64))) (fma.f64 x x (fma.f64 #s(literal 9 binary64) x #s(literal 81 binary64))) (neg.f64 (/.f64 #s(literal 81 binary64) (-.f64 x #s(literal 9 binary64)))))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -81 binary64))) (+.f64 #s(literal 9 binary64) x) (neg.f64 (/.f64 #s(literal 81 binary64) (-.f64 x #s(literal 9 binary64)))))
(fma.f64 (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)) (sqrt.f64 x) #s(literal 9 binary64))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1 binary64)) #s(literal 9 binary64))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)) #s(literal 9 binary64))
(fma.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 9 binary64))
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 9 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) #s(literal 9 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 9 binary64))
(fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) #s(literal 9 binary64))
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x #s(literal 9 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 81 binary64) (-.f64 x #s(literal 9 binary64)))))
(fma.f64 (sqrt.f64 x) (pow.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64)) #s(literal 9 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 9 binary64))
(fma.f64 x (/.f64 x (-.f64 x #s(literal 9 binary64))) (neg.f64 (/.f64 #s(literal 81 binary64) (-.f64 x #s(literal 9 binary64)))))
(fma.f64 x #s(literal 1 binary64) #s(literal 9 binary64))
(-.f64 (/.f64 #s(literal 81 binary64) (-.f64 #s(literal 9 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 9 binary64) x)))
(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 9 binary64)))) (/.f64 #s(literal 81 binary64) (-.f64 x #s(literal 9 binary64))))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 9 binary64) x) #s(literal 2 binary64)))
(fabs.f64 (+.f64 #s(literal 9 binary64) x))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 #s(literal 9 binary64) x))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (+.f64 #s(literal 9 binary64) x)))
(+.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 9 binary64)))) (neg.f64 (/.f64 #s(literal 81 binary64) (-.f64 x #s(literal 9 binary64)))))
(+.f64 #s(literal 9 binary64) x)
(+.f64 x #s(literal 9 binary64))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(fabs.f64 (sqrt.f64 x))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 x)))

eval40.0ms (1%)

Memory: 30.2MiB live, 30.2MiB allocated
Compiler: Compiled 6 871 to 1 197 computations (82.6% saved)

prune13.0ms (0.3%)

Memory

16.1MiB live, 16.1MiB allocated

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	330	10	340
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	330	11	341

Accuracy

99.9%

Counts

341 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.5%	(/.f64 (-.f64 (+.f64 #s(literal 9 binary64) x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 9 binary64) x))))
✓	52.9%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))
▶	49.6%	(-.f64 #s(approx (sqrt (+ x 9)) (fma.f64 (fma.f64 #s(literal -1/216 binary64) x #s(literal 1/6 binary64)) x #s(literal 3 binary64))) (sqrt.f64 x))
▶	51.1%	(-.f64 #s(approx (sqrt (+ x 9)) (fma.f64 #s(literal 1/6 binary64) x #s(literal 3 binary64))) (sqrt.f64 x))
	3.5%	(-.f64 #s(approx (sqrt (+ x 9)) (sqrt.f64 x)) (sqrt.f64 x))
▶	49.4%	(-.f64 #s(approx (sqrt (+ x 9)) #s(literal 3 binary64)) (sqrt.f64 x))
	53.3%	(.f64 (/.f64 (-.f64 (+.f64 #s(literal 9 binary64) x) x) (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 9 binary64) x) #s(literal 3/2 binary64)))) (-.f64 (+.f64 (+.f64 #s(literal 9 binary64) x) x) (sqrt.f64 (.f64 (+.f64 #s(literal 9 binary64) x) x))))
	51.1%	#s(approx (- (sqrt (+ x 9)) (sqrt x)) (fma.f64 #s(literal 1/6 binary64) x (-.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	52.0%	#s(approx (- (sqrt (+ x 9)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 729/16 binary64) (fma.f64 #s(literal -81/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 9/2 binary64) (sqrt.f64 x)))) x))
▶	50.3%	#s(approx (- (sqrt (+ x 9)) (sqrt x)) (/.f64 (fma.f64 #s(literal -81/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 9/2 binary64) (sqrt.f64 x))) x))
	53.0%	#s(approx (- (sqrt (+ x 9)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 9/2 binary64)))

Compiler

Compiled 335 to 248 computations (26% saved)

simplify217.0ms (5.3%)

Memory

-54.0MiB live, 31.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(fma.f64 #s(literal -81/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 9/2 binary64) (sqrt.f64 x)))
cost-diff	0	(/.f64 (fma.f64 #s(literal -81/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 9/2 binary64) (sqrt.f64 x))) x)
cost-diff	0	#s(approx (- (sqrt (+ x 9)) (sqrt x)) (/.f64 (fma.f64 #s(literal -81/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 9/2 binary64) (sqrt.f64 x))) x))
cost-diff	0	(fma.f64 #s(literal -1/216 binary64) x #s(literal 1/6 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal -1/216 binary64) x #s(literal 1/6 binary64)) x #s(literal 3 binary64))
cost-diff	0	#s(approx (sqrt (+ x 9)) (fma.f64 (fma.f64 #s(literal -1/216 binary64) x #s(literal 1/6 binary64)) x #s(literal 3 binary64)))
cost-diff	0	(-.f64 #s(approx (sqrt (+ x 9)) (fma.f64 (fma.f64 #s(literal -1/216 binary64) x #s(literal 1/6 binary64)) x #s(literal 3 binary64))) (sqrt.f64 x))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(fma.f64 #s(literal 1/6 binary64) x #s(literal 3 binary64))
cost-diff	0	#s(approx (sqrt (+ x 9)) (fma.f64 #s(literal 1/6 binary64) x #s(literal 3 binary64)))
cost-diff	0	(-.f64 #s(approx (sqrt (+ x 9)) (fma.f64 #s(literal 1/6 binary64) x #s(literal 3 binary64))) (sqrt.f64 x))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	#s(approx (sqrt (+ x 9)) #s(literal 3 binary64))
cost-diff	0	(-.f64 #s(approx (sqrt (+ x 9)) #s(literal 3 binary64)) (sqrt.f64 x))
cost-diff	0	(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 9 binary64) x)))
cost-diff	0	(+.f64 #s(literal 9 binary64) x)
cost-diff	0	(/.f64 (-.f64 (+.f64 #s(literal 9 binary64) x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 9 binary64) x))))
cost-diff	4	(-.f64 (+.f64 #s(literal 9 binary64) x) x)

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	188
0	54	184
1	81	180
2	108	180
3	150	180
4	197	180
5	283	180
6	422	180
7	612	180
8	808	180
9	1192	180
10	1724	180
11	2788	180
12	4698	180
13	5812	180
14	6147	180
15	6318	180
16	6403	180
17	7932	180
0	8480	180

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (-.f64 (+.f64 #s(literal 9 binary64) x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 9 binary64) x))))
(-.f64 (+.f64 #s(literal 9 binary64) x) x)
(+.f64 #s(literal 9 binary64) x)
#s(literal 9 binary64)
x
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 9 binary64) x)))
(sqrt.f64 x)
(sqrt.f64 (+.f64 #s(literal 9 binary64) x))
(-.f64 #s(approx (sqrt (+ x 9)) #s(literal 3 binary64)) (sqrt.f64 x))
#s(approx (sqrt (+ x 9)) #s(literal 3 binary64))
#s(literal 3 binary64)
(sqrt.f64 x)
x
(-.f64 #s(approx (sqrt (+ x 9)) (fma.f64 #s(literal 1/6 binary64) x #s(literal 3 binary64))) (sqrt.f64 x))
#s(approx (sqrt (+ x 9)) (fma.f64 #s(literal 1/6 binary64) x #s(literal 3 binary64)))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 3 binary64))
#s(literal 1/6 binary64)
x
#s(literal 3 binary64)
(sqrt.f64 x)
(-.f64 #s(approx (sqrt (+ x 9)) (fma.f64 (fma.f64 #s(literal -1/216 binary64) x #s(literal 1/6 binary64)) x #s(literal 3 binary64))) (sqrt.f64 x))
#s(approx (sqrt (+ x 9)) (fma.f64 (fma.f64 #s(literal -1/216 binary64) x #s(literal 1/6 binary64)) x #s(literal 3 binary64)))
(fma.f64 (fma.f64 #s(literal -1/216 binary64) x #s(literal 1/6 binary64)) x #s(literal 3 binary64))
(fma.f64 #s(literal -1/216 binary64) x #s(literal 1/6 binary64))
#s(literal -1/216 binary64)
x
#s(literal 1/6 binary64)
#s(literal 3 binary64)
(sqrt.f64 x)
#s(approx (- (sqrt (+ x 9)) (sqrt x)) (/.f64 (fma.f64 #s(literal -81/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 9/2 binary64) (sqrt.f64 x))) x))
(/.f64 (fma.f64 #s(literal -81/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 9/2 binary64) (sqrt.f64 x))) x)
(fma.f64 #s(literal -81/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 9/2 binary64) (sqrt.f64 x)))
#s(literal -81/8 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 #s(literal 9/2 binary64) (sqrt.f64 x))
#s(literal 9/2 binary64)
(sqrt.f64 x)

Outputs
(/.f64 (-.f64 (+.f64 #s(literal 9 binary64) x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 9 binary64) x))))
(/.f64 #s(literal 9 binary64) (+.f64 (sqrt.f64 (-.f64 x #s(literal -9 binary64))) (sqrt.f64 x)))
(-.f64 (+.f64 #s(literal 9 binary64) x) x)
#s(literal 9 binary64)
(+.f64 #s(literal 9 binary64) x)
(-.f64 x #s(literal -9 binary64))
#s(literal 9 binary64)
x
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 9 binary64) x)))
(+.f64 (sqrt.f64 (-.f64 x #s(literal -9 binary64))) (sqrt.f64 x))
(sqrt.f64 x)
(sqrt.f64 (+.f64 #s(literal 9 binary64) x))
(sqrt.f64 (-.f64 x #s(literal -9 binary64)))
(-.f64 #s(approx (sqrt (+ x 9)) #s(literal 3 binary64)) (sqrt.f64 x))
#s(approx (sqrt (+ x 9)) #s(literal 3 binary64))
#s(literal 3 binary64)
(sqrt.f64 x)
x
(-.f64 #s(approx (sqrt (+ x 9)) (fma.f64 #s(literal 1/6 binary64) x #s(literal 3 binary64))) (sqrt.f64 x))
#s(approx (sqrt (+ x 9)) (fma.f64 #s(literal 1/6 binary64) x #s(literal 3 binary64)))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 3 binary64))
#s(literal 1/6 binary64)
x
#s(literal 3 binary64)
(sqrt.f64 x)
(-.f64 #s(approx (sqrt (+ x 9)) (fma.f64 (fma.f64 #s(literal -1/216 binary64) x #s(literal 1/6 binary64)) x #s(literal 3 binary64))) (sqrt.f64 x))
#s(approx (sqrt (+ x 9)) (fma.f64 (fma.f64 #s(literal -1/216 binary64) x #s(literal 1/6 binary64)) x #s(literal 3 binary64)))
(fma.f64 (fma.f64 #s(literal -1/216 binary64) x #s(literal 1/6 binary64)) x #s(literal 3 binary64))
(fma.f64 #s(literal -1/216 binary64) x #s(literal 1/6 binary64))
#s(literal -1/216 binary64)
x
#s(literal 1/6 binary64)
#s(literal 3 binary64)
(sqrt.f64 x)
#s(approx (- (sqrt (+ x 9)) (sqrt x)) (/.f64 (fma.f64 #s(literal -81/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 9/2 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (+ x 9)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -81/8 binary64) (*.f64 #s(literal 9/2 binary64) (sqrt.f64 x))) x))
(/.f64 (fma.f64 #s(literal -81/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 9/2 binary64) (sqrt.f64 x))) x)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -81/8 binary64) (*.f64 #s(literal 9/2 binary64) (sqrt.f64 x))) x)
(fma.f64 #s(literal -81/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 9/2 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -81/8 binary64) (*.f64 #s(literal 9/2 binary64) (sqrt.f64 x)))
#s(literal -81/8 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 #s(literal 9/2 binary64) (sqrt.f64 x))
#s(literal 9/2 binary64)
(sqrt.f64 x)

localize106.0ms (2.6%)

Memory

38.9MiB live, 38.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.16015625	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy	0.1796875	(/.f64 (fma.f64 #s(literal -81/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 9/2 binary64) (sqrt.f64 x))) x)
accuracy	0.203125	(*.f64 #s(literal 9/2 binary64) (sqrt.f64 x))
accuracy	31.660766689567783	#s(approx (- (sqrt (+ x 9)) (sqrt x)) (/.f64 (fma.f64 #s(literal -81/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 9/2 binary64) (sqrt.f64 x))) x))
accuracy	0.0703125	(fma.f64 (fma.f64 #s(literal -1/216 binary64) x #s(literal 1/6 binary64)) x #s(literal 3 binary64))
accuracy	0.22265625	(fma.f64 #s(literal -1/216 binary64) x #s(literal 1/6 binary64))
accuracy	30.15561508987927	(-.f64 #s(approx (sqrt (+ x 9)) (fma.f64 (fma.f64 #s(literal -1/216 binary64) x #s(literal 1/6 binary64)) x #s(literal 3 binary64))) (sqrt.f64 x))
accuracy	32.36129300308126	#s(approx (sqrt (+ x 9)) (fma.f64 (fma.f64 #s(literal -1/216 binary64) x #s(literal 1/6 binary64)) x #s(literal 3 binary64)))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.18359375	(fma.f64 #s(literal 1/6 binary64) x #s(literal 3 binary64))
accuracy	30.15561508987927	(-.f64 #s(approx (sqrt (+ x 9)) (fma.f64 #s(literal 1/6 binary64) x #s(literal 3 binary64))) (sqrt.f64 x))
accuracy	30.47534663132981	#s(approx (sqrt (+ x 9)) (fma.f64 #s(literal 1/6 binary64) x #s(literal 3 binary64)))
accuracy	0.0	(sqrt.f64 x)
accuracy	30.15561508987927	(-.f64 #s(approx (sqrt (+ x 9)) #s(literal 3 binary64)) (sqrt.f64 x))
accuracy	30.694179235858254	#s(approx (sqrt (+ x 9)) #s(literal 3 binary64))
accuracy	0.00390625	(sqrt.f64 (+.f64 #s(literal 9 binary64) x))
accuracy	0.0078125	(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 9 binary64) x)))
accuracy	0.1171875	(/.f64 (-.f64 (+.f64 #s(literal 9 binary64) x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 9 binary64) x))))
accuracy	29.306101107002796	(-.f64 (+.f64 #s(literal 9 binary64) x) x)

Samples

56.0ms	127×	1	valid
27.0ms	129×	0	valid

Compiler

Compiled 153 to 31 computations (79.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-add: 12.0ms (19.9% of total)

ival-mult: 11.0ms (18.2% of total)

const: 10.0ms (16.6% of total)

ival-sqrt: 9.0ms (14.9% of total)

adjust: 7.0ms (11.6% of total)

ival-div: 6.0ms (9.9% of total)

ival-sub: 3.0ms (5% of total)

exact: 1.0ms (1.7% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series11.0ms (0.3%)

Memory

4.5MiB live, 4.5MiB allocated

Counts

20 → 71

Calls

Call 1

Inputs
(-.f64 (+.f64 #s(literal 9 binary64) x) x)
(/.f64 (-.f64 (+.f64 #s(literal 9 binary64) x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 9 binary64) x))))
(+.f64 #s(literal 9 binary64) x)
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 9 binary64) x)))
(-.f64 #s(approx (sqrt (+ x 9)) #s(literal 3 binary64)) (sqrt.f64 x))
#s(approx (sqrt (+ x 9)) #s(literal 3 binary64))
(sqrt.f64 x)
(-.f64 #s(approx (sqrt (+ x 9)) (fma.f64 #s(literal 1/6 binary64) x #s(literal 3 binary64))) (sqrt.f64 x))
#s(approx (sqrt (+ x 9)) (fma.f64 #s(literal 1/6 binary64) x #s(literal 3 binary64)))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 3 binary64))
(-.f64 #s(approx (sqrt (+ x 9)) (fma.f64 (fma.f64 #s(literal -1/216 binary64) x #s(literal 1/6 binary64)) x #s(literal 3 binary64))) (sqrt.f64 x))
#s(approx (sqrt (+ x 9)) (fma.f64 (fma.f64 #s(literal -1/216 binary64) x #s(literal 1/6 binary64)) x #s(literal 3 binary64)))
(fma.f64 (fma.f64 #s(literal -1/216 binary64) x #s(literal 1/6 binary64)) x #s(literal 3 binary64))
(fma.f64 #s(literal -1/216 binary64) x #s(literal 1/6 binary64))
#s(approx (- (sqrt (+ x 9)) (sqrt x)) (/.f64 (fma.f64 #s(literal -81/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 9/2 binary64) (sqrt.f64 x))) x))
(/.f64 (fma.f64 #s(literal -81/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 9/2 binary64) (sqrt.f64 x))) x)
(fma.f64 #s(literal -81/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 9/2 binary64) (sqrt.f64 x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (+.f64 #s(literal 9 binary64) x))
(*.f64 #s(literal 9/2 binary64) (sqrt.f64 x))

Outputs
9
(/ 9 (+ 3 (sqrt x)))
(+ (* -3/2 (/ x (pow (+ 3 (sqrt x)) 2))) (* 9 (/ 1 (+ 3 (sqrt x)))))
(+ (* x (- (* x (+ (* 1/24 (/ 1 (pow (+ 3 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 3 (sqrt x)) 3))))) (* 3/2 (/ 1 (pow (+ 3 (sqrt x)) 2))))) (* 9 (/ 1 (+ 3 (sqrt x)))))
(+ (* x (- (* x (+ (* -1 (* x (+ (* 1/432 (/ 1 (pow (+ 3 (sqrt x)) 2))) (+ (* 1/144 (/ 1 (pow (+ 3 (sqrt x)) 3))) (* 1/6 (/ (+ (* 1/24 (/ 1 (pow (+ 3 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 3 (sqrt x)) 3)))) (+ 3 (sqrt x)))))))) (+ (* 1/24 (/ 1 (pow (+ 3 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 3 (sqrt x)) 3)))))) (* 3/2 (/ 1 (pow (+ 3 (sqrt x)) 2))))) (* 9 (/ 1 (+ 3 (sqrt x)))))
(+ 9 x)
(+ 3 (sqrt x))
(+ 3 (+ (sqrt x) (* 1/6 x)))
(+ 3 (+ (sqrt x) (* x (+ 1/6 (* -1/216 x)))))
(+ 3 (+ (sqrt x) (* x (+ 1/6 (* x (- (* 1/3888 x) 1/216))))))
(- 3 (sqrt x))
(- (+ 3 (* 1/6 x)) (sqrt x))
(- (+ 3 (* x (+ 1/6 (* -1/216 x)))) (sqrt x))
(- (+ 3 (* x (+ 1/6 (* x (- (* 1/3888 x) 1/216))))) (sqrt x))
3
(+ 3 (* 1/6 x))
(+ 3 (* x (+ 1/6 (* -1/216 x))))
(+ 3 (* x (+ 1/6 (* x (- (* 1/3888 x) 1/216)))))
(sqrt x)
1/6
(+ 1/6 (* -1/216 x))
(* -81/8 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -81/8 (sqrt x)) (* 9/2 (sqrt (pow x 3)))) (pow x 2))
(* -81/8 (sqrt (/ 1 x)))
(/ (+ (* -81/8 (sqrt x)) (* 9/2 (sqrt (pow x 3)))) x)
(sqrt (/ 1 x))
(* 9/2 (sqrt x))
(* 9/2 (sqrt (/ 1 x)))
(/ (+ (* -81/8 (sqrt (/ 1 x))) (* 9/2 (sqrt x))) x)
(/ (- (+ (* 9/2 (sqrt x)) (* 729/16 (sqrt (/ 1 (pow x 3))))) (* 81/8 (sqrt (/ 1 x)))) x)
(/ (- (+ (* -1 (/ (+ (* 6561/128 (sqrt (pow x 7))) (* 6561/32 (sqrt (pow x 7)))) (pow x 6))) (* 9/2 (sqrt x))) (+ (* -729/16 (sqrt (/ 1 (pow x 3)))) (* 81/8 (sqrt (/ 1 x))))) x)
x
(* x (+ 1 (* 9 (/ 1 x))))
(* 2 (sqrt x))
(* x (+ (* 2 (sqrt (/ 1 x))) (* 9/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (* -81/8 (sqrt (/ 1 (pow x 5)))) (+ (* 2 (sqrt (/ 1 x))) (* 9/2 (sqrt (/ 1 (pow x 3)))))))
(* x (+ (* -81/8 (sqrt (/ 1 (pow x 5)))) (+ (* 2 (sqrt (/ 1 x))) (+ (* 9/2 (sqrt (/ 1 (pow x 3)))) (* 729/16 (sqrt (/ 1 (pow x 7))))))))
(/ (+ (* -81/8 (sqrt (/ 1 x))) (+ (* 9/2 (sqrt x)) (* 729/16 (sqrt (/ 1 (pow x 3)))))) x)
(/ (+ (* -32805/128 (sqrt (/ 1 (pow x 5)))) (+ (* -81/8 (sqrt (/ 1 x))) (+ (* 9/2 (sqrt x)) (* 729/16 (sqrt (/ 1 (pow x 3))))))) x)
(* x (+ (sqrt (/ 1 x)) (* 9/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -81/8 (sqrt (/ 1 (pow x 5)))) (* 9/2 (sqrt (/ 1 (pow x 3)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -81/8 (sqrt (/ 1 (pow x 5)))) (+ (* 9/2 (sqrt (/ 1 (pow x 3)))) (* 729/16 (sqrt (/ 1 (pow x 7))))))))
(* 1/6 x)
(* x (+ 1/6 (* 3 (/ 1 x))))
(* -1/216 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 x)) 1/216))
(* (pow x 2) (- (+ (* 1/6 (/ 1 x)) (/ 3 (pow x 2))) 1/216))
(* -1/216 x)
(* x (- (* 1/6 (/ 1 x)) 1/216))
(+ (* -81/8 (sqrt (/ 1 (pow x 3)))) (* 9/2 (sqrt (/ 1 x))))
(* x (+ (* -81/8 (sqrt (/ 1 (pow x 3)))) (* 9/2 (sqrt (/ 1 x)))))
(* -9/2 (sqrt (/ 1 x)))
(* -1 (/ (+ (* -81/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 9/2 (sqrt x))) x))
(* -1 (/ (- (+ (* 9/2 (sqrt x)) (* 729/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4))))) (* 81/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) x))
(* -1 (/ (- (+ (* -1 (/ (+ (* 6561/128 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 6)))) (* 6561/32 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 6))))) (pow x 6))) (* 9/2 (sqrt x))) (+ (* -729/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 81/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))))) x))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 9/2 (sqrt (/ 1 (pow x 3)))))))
(* -1 (* x (+ (* -81/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 9/2 (sqrt (/ 1 (pow x 3))))))))
(* -1 (* x (+ (* -81/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 9/2 (sqrt (/ 1 (pow x 3)))) (* 729/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))))))))
(* -1 (/ (+ (* -81/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 9/2 (sqrt x)) (* 729/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))))) x))
(* -1 (/ (+ (* -32805/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* -81/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 9/2 (sqrt x)) (* 729/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4))))))) x))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 9/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -81/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 9/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -81/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 9/2 (sqrt (/ 1 (pow x 3)))) (+ (* 729/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* -1 (* x (- 1/216 (* 1/6 (/ 1 x)))))
(* -9/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -81/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -9/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(* -9/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 9/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 81/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	((- (+ 9 x) x) (/ (- (+ 9 x) x) (+ (sqrt x) (sqrt (+ 9 x)))) (+ 9 x) (+ (sqrt x) (sqrt (+ 9 x))) (- (sqrt (+ x 9)) (sqrt x)) (sqrt (+ x 9)) (sqrt x) (- (sqrt (+ x 9)) (sqrt x)) (sqrt (+ x 9)) (+ (* 1/6 x) 3) (- (sqrt (+ x 9)) (sqrt x)) (sqrt (+ x 9)) (+ (* (+ (* -1/216 x) 1/6) x) 3) (+ (* -1/216 x) 1/6) (- (sqrt (+ x 9)) (sqrt x)) (/ (+ (* -81/8 (sqrt (/ 1 x))) (* 9/2 (sqrt x))) x) (+ (* -81/8 (sqrt (/ 1 x))) (* 9/2 (sqrt x))) (sqrt (/ 1 x)) (sqrt (+ 9 x)) (* 9/2 (sqrt x)))
3.0ms	x	@	0	((- (+ 9 x) x) (/ (- (+ 9 x) x) (+ (sqrt x) (sqrt (+ 9 x)))) (+ 9 x) (+ (sqrt x) (sqrt (+ 9 x))) (- (sqrt (+ x 9)) (sqrt x)) (sqrt (+ x 9)) (sqrt x) (- (sqrt (+ x 9)) (sqrt x)) (sqrt (+ x 9)) (+ (* 1/6 x) 3) (- (sqrt (+ x 9)) (sqrt x)) (sqrt (+ x 9)) (+ (* (+ (* -1/216 x) 1/6) x) 3) (+ (* -1/216 x) 1/6) (- (sqrt (+ x 9)) (sqrt x)) (/ (+ (* -81/8 (sqrt (/ 1 x))) (* 9/2 (sqrt x))) x) (+ (* -81/8 (sqrt (/ 1 x))) (* 9/2 (sqrt x))) (sqrt (/ 1 x)) (sqrt (+ 9 x)) (* 9/2 (sqrt x)))
3.0ms	x	@	inf	((- (+ 9 x) x) (/ (- (+ 9 x) x) (+ (sqrt x) (sqrt (+ 9 x)))) (+ 9 x) (+ (sqrt x) (sqrt (+ 9 x))) (- (sqrt (+ x 9)) (sqrt x)) (sqrt (+ x 9)) (sqrt x) (- (sqrt (+ x 9)) (sqrt x)) (sqrt (+ x 9)) (+ (* 1/6 x) 3) (- (sqrt (+ x 9)) (sqrt x)) (sqrt (+ x 9)) (+ (* (+ (* -1/216 x) 1/6) x) 3) (+ (* -1/216 x) 1/6) (- (sqrt (+ x 9)) (sqrt x)) (/ (+ (* -81/8 (sqrt (/ 1 x))) (* 9/2 (sqrt x))) x) (+ (* -81/8 (sqrt (/ 1 x))) (* 9/2 (sqrt x))) (sqrt (/ 1 x)) (sqrt (+ 9 x)) (* 9/2 (sqrt x)))

Time

Variable

Point

Expression

5.0ms

-inf

((- (+ 9 x) x) (/ (- (+ 9 x) x) (+ (sqrt x) (sqrt (+ 9 x)))) (+ 9 x) (+ (sqrt x) (sqrt (+ 9 x))) (- (sqrt (+ x 9)) (sqrt x)) (sqrt (+ x 9)) (sqrt x) (- (sqrt (+ x 9)) (sqrt x)) (sqrt (+ x 9)) (+ (* 1/6 x) 3) (- (sqrt (+ x 9)) (sqrt x)) (sqrt (+ x 9)) (+ (* (+ (* -1/216 x) 1/6) x) 3) (+ (* -1/216 x) 1/6) (- (sqrt (+ x 9)) (sqrt x)) (/ (+ (* -81/8 (sqrt (/ 1 x))) (* 9/2 (sqrt x))) x) (+ (* -81/8 (sqrt (/ 1 x))) (* 9/2 (sqrt x))) (sqrt (/ 1 x)) (sqrt (+ 9 x)) (* 9/2 (sqrt x)))

3.0ms

((- (+ 9 x) x) (/ (- (+ 9 x) x) (+ (sqrt x) (sqrt (+ 9 x)))) (+ 9 x) (+ (sqrt x) (sqrt (+ 9 x))) (- (sqrt (+ x 9)) (sqrt x)) (sqrt (+ x 9)) (sqrt x) (- (sqrt (+ x 9)) (sqrt x)) (sqrt (+ x 9)) (+ (* 1/6 x) 3) (- (sqrt (+ x 9)) (sqrt x)) (sqrt (+ x 9)) (+ (* (+ (* -1/216 x) 1/6) x) 3) (+ (* -1/216 x) 1/6) (- (sqrt (+ x 9)) (sqrt x)) (/ (+ (* -81/8 (sqrt (/ 1 x))) (* 9/2 (sqrt x))) x) (+ (* -81/8 (sqrt (/ 1 x))) (* 9/2 (sqrt x))) (sqrt (/ 1 x)) (sqrt (+ 9 x)) (* 9/2 (sqrt x)))

3.0ms

inf

((- (+ 9 x) x) (/ (- (+ 9 x) x) (+ (sqrt x) (sqrt (+ 9 x)))) (+ 9 x) (+ (sqrt x) (sqrt (+ 9 x))) (- (sqrt (+ x 9)) (sqrt x)) (sqrt (+ x 9)) (sqrt x) (- (sqrt (+ x 9)) (sqrt x)) (sqrt (+ x 9)) (+ (* 1/6 x) 3) (- (sqrt (+ x 9)) (sqrt x)) (sqrt (+ x 9)) (+ (* (+ (* -1/216 x) 1/6) x) 3) (+ (* -1/216 x) 1/6) (- (sqrt (+ x 9)) (sqrt x)) (/ (+ (* -81/8 (sqrt (/ 1 x))) (* 9/2 (sqrt x))) x) (+ (* -81/8 (sqrt (/ 1 x))) (* 9/2 (sqrt x))) (sqrt (/ 1 x)) (sqrt (+ 9 x)) (* 9/2 (sqrt x)))

simplify171.0ms (4.2%)

Memory

-31.7MiB live, 44.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	254	1197
1	717	1067
2	2269	1050
3	6639	1049
0	8077	971

Stop Event

1×	iter limit
1×	node limit

Counts

71 → 70

Calls

Call 1

Inputs
9
(/ 9 (+ 3 (sqrt x)))
(+ (* -3/2 (/ x (pow (+ 3 (sqrt x)) 2))) (* 9 (/ 1 (+ 3 (sqrt x)))))
(+ (* x (- (* x (+ (* 1/24 (/ 1 (pow (+ 3 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 3 (sqrt x)) 3))))) (* 3/2 (/ 1 (pow (+ 3 (sqrt x)) 2))))) (* 9 (/ 1 (+ 3 (sqrt x)))))
(+ (* x (- (* x (+ (* -1 (* x (+ (* 1/432 (/ 1 (pow (+ 3 (sqrt x)) 2))) (+ (* 1/144 (/ 1 (pow (+ 3 (sqrt x)) 3))) (* 1/6 (/ (+ (* 1/24 (/ 1 (pow (+ 3 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 3 (sqrt x)) 3)))) (+ 3 (sqrt x)))))))) (+ (* 1/24 (/ 1 (pow (+ 3 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 3 (sqrt x)) 3)))))) (* 3/2 (/ 1 (pow (+ 3 (sqrt x)) 2))))) (* 9 (/ 1 (+ 3 (sqrt x)))))
(+ 9 x)
(+ 3 (sqrt x))
(+ 3 (+ (sqrt x) (* 1/6 x)))
(+ 3 (+ (sqrt x) (* x (+ 1/6 (* -1/216 x)))))
(+ 3 (+ (sqrt x) (* x (+ 1/6 (* x (- (* 1/3888 x) 1/216))))))
(- 3 (sqrt x))
(- (+ 3 (* 1/6 x)) (sqrt x))
(- (+ 3 (* x (+ 1/6 (* -1/216 x)))) (sqrt x))
(- (+ 3 (* x (+ 1/6 (* x (- (* 1/3888 x) 1/216))))) (sqrt x))
3
(+ 3 (* 1/6 x))
(+ 3 (* x (+ 1/6 (* -1/216 x))))
(+ 3 (* x (+ 1/6 (* x (- (* 1/3888 x) 1/216)))))
(sqrt x)
1/6
(+ 1/6 (* -1/216 x))
(* -81/8 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -81/8 (sqrt x)) (* 9/2 (sqrt (pow x 3)))) (pow x 2))
(* -81/8 (sqrt (/ 1 x)))
(/ (+ (* -81/8 (sqrt x)) (* 9/2 (sqrt (pow x 3)))) x)
(sqrt (/ 1 x))
(* 9/2 (sqrt x))
(* 9/2 (sqrt (/ 1 x)))
(/ (+ (* -81/8 (sqrt (/ 1 x))) (* 9/2 (sqrt x))) x)
(/ (- (+ (* 9/2 (sqrt x)) (* 729/16 (sqrt (/ 1 (pow x 3))))) (* 81/8 (sqrt (/ 1 x)))) x)
(/ (- (+ (* -1 (/ (+ (* 6561/128 (sqrt (pow x 7))) (* 6561/32 (sqrt (pow x 7)))) (pow x 6))) (* 9/2 (sqrt x))) (+ (* -729/16 (sqrt (/ 1 (pow x 3)))) (* 81/8 (sqrt (/ 1 x))))) x)
x
(* x (+ 1 (* 9 (/ 1 x))))
(* 2 (sqrt x))
(* x (+ (* 2 (sqrt (/ 1 x))) (* 9/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (* -81/8 (sqrt (/ 1 (pow x 5)))) (+ (* 2 (sqrt (/ 1 x))) (* 9/2 (sqrt (/ 1 (pow x 3)))))))
(* x (+ (* -81/8 (sqrt (/ 1 (pow x 5)))) (+ (* 2 (sqrt (/ 1 x))) (+ (* 9/2 (sqrt (/ 1 (pow x 3)))) (* 729/16 (sqrt (/ 1 (pow x 7))))))))
(/ (+ (* -81/8 (sqrt (/ 1 x))) (+ (* 9/2 (sqrt x)) (* 729/16 (sqrt (/ 1 (pow x 3)))))) x)
(/ (+ (* -32805/128 (sqrt (/ 1 (pow x 5)))) (+ (* -81/8 (sqrt (/ 1 x))) (+ (* 9/2 (sqrt x)) (* 729/16 (sqrt (/ 1 (pow x 3))))))) x)
(* x (+ (sqrt (/ 1 x)) (* 9/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -81/8 (sqrt (/ 1 (pow x 5)))) (* 9/2 (sqrt (/ 1 (pow x 3)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -81/8 (sqrt (/ 1 (pow x 5)))) (+ (* 9/2 (sqrt (/ 1 (pow x 3)))) (* 729/16 (sqrt (/ 1 (pow x 7))))))))
(* 1/6 x)
(* x (+ 1/6 (* 3 (/ 1 x))))
(* -1/216 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 x)) 1/216))
(* (pow x 2) (- (+ (* 1/6 (/ 1 x)) (/ 3 (pow x 2))) 1/216))
(* -1/216 x)
(* x (- (* 1/6 (/ 1 x)) 1/216))
(+ (* -81/8 (sqrt (/ 1 (pow x 3)))) (* 9/2 (sqrt (/ 1 x))))
(* x (+ (* -81/8 (sqrt (/ 1 (pow x 3)))) (* 9/2 (sqrt (/ 1 x)))))
(* -9/2 (sqrt (/ 1 x)))
(* -1 (/ (+ (* -81/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 9/2 (sqrt x))) x))
(* -1 (/ (- (+ (* 9/2 (sqrt x)) (* 729/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4))))) (* 81/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) x))
(* -1 (/ (- (+ (* -1 (/ (+ (* 6561/128 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 6)))) (* 6561/32 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 6))))) (pow x 6))) (* 9/2 (sqrt x))) (+ (* -729/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 81/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))))) x))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 9/2 (sqrt (/ 1 (pow x 3)))))))
(* -1 (* x (+ (* -81/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 9/2 (sqrt (/ 1 (pow x 3))))))))
(* -1 (* x (+ (* -81/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 9/2 (sqrt (/ 1 (pow x 3)))) (* 729/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))))))))
(* -1 (/ (+ (* -81/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 9/2 (sqrt x)) (* 729/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))))) x))
(* -1 (/ (+ (* -32805/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* -81/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 9/2 (sqrt x)) (* 729/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4))))))) x))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 9/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -81/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 9/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -81/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 9/2 (sqrt (/ 1 (pow x 3)))) (+ (* 729/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* -1 (* x (- 1/216 (* 1/6 (/ 1 x)))))
(* -9/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -81/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -9/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(* -9/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 9/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 81/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))

Outputs
9
#s(literal 9 binary64)
(/ 9 (+ 3 (sqrt x)))
(/.f64 #s(literal 9 binary64) (+.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(+ (* -3/2 (/ x (pow (+ 3 (sqrt x)) 2))) (* 9 (/ 1 (+ 3 (sqrt x)))))
(fma.f64 (/.f64 x (pow.f64 (+.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) #s(literal -3/2 binary64) (/.f64 #s(literal 9 binary64) (+.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(+ (* x (- (* x (+ (* 1/24 (/ 1 (pow (+ 3 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 3 (sqrt x)) 3))))) (* 3/2 (/ 1 (pow (+ 3 (sqrt x)) 2))))) (* 9 (/ 1 (+ 3 (sqrt x)))))
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1/24 binary64) (pow.f64 (+.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) x (/.f64 #s(literal -3/2 binary64) (pow.f64 (+.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) x (/.f64 #s(literal 9 binary64) (+.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(+ (* x (- (* x (+ (* -1 (* x (+ (* 1/432 (/ 1 (pow (+ 3 (sqrt x)) 2))) (+ (* 1/144 (/ 1 (pow (+ 3 (sqrt x)) 3))) (* 1/6 (/ (+ (* 1/24 (/ 1 (pow (+ 3 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 3 (sqrt x)) 3)))) (+ 3 (sqrt x)))))))) (+ (* 1/24 (/ 1 (pow (+ 3 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 3 (sqrt x)) 3)))))) (* 3/2 (/ 1 (pow (+ 3 (sqrt x)) 2))))) (* 9 (/ 1 (+ 3 (sqrt x)))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (+.f64 (+.f64 (/.f64 #s(literal 1/144 binary64) (pow.f64 (+.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1/432 binary64) (pow.f64 (+.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 (+.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1/144 binary64) (pow.f64 (+.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (+.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1/24 binary64) (pow.f64 (+.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal 2 binary64))))) x (/.f64 #s(literal -3/2 binary64) (pow.f64 (+.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) x (/.f64 #s(literal 9 binary64) (+.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(+ 9 x)
(+.f64 #s(literal 9 binary64) x)
(+ 3 (sqrt x))
(+.f64 #s(literal 3 binary64) (sqrt.f64 x))
(+ 3 (+ (sqrt x) (* 1/6 x)))
(fma.f64 #s(literal 1/6 binary64) x (+.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(+ 3 (+ (sqrt x) (* x (+ 1/6 (* -1/216 x)))))
(fma.f64 (fma.f64 #s(literal -1/216 binary64) x #s(literal 1/6 binary64)) x (+.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(+ 3 (+ (sqrt x) (* x (+ 1/6 (* x (- (* 1/3888 x) 1/216))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3888 binary64) x #s(literal -1/216 binary64)) x #s(literal 1/6 binary64)) x (+.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(- 3 (sqrt x))
(-.f64 #s(literal 3 binary64) (sqrt.f64 x))
(- (+ 3 (* 1/6 x)) (sqrt x))
(fma.f64 #s(literal 1/6 binary64) x (-.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(- (+ 3 (* x (+ 1/6 (* -1/216 x)))) (sqrt x))
(fma.f64 (fma.f64 #s(literal -1/216 binary64) x #s(literal 1/6 binary64)) x (-.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(- (+ 3 (* x (+ 1/6 (* x (- (* 1/3888 x) 1/216))))) (sqrt x))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3888 binary64) x #s(literal -1/216 binary64)) x #s(literal 1/6 binary64)) x (-.f64 #s(literal 3 binary64) (sqrt.f64 x)))
3
#s(literal 3 binary64)
(+ 3 (* 1/6 x))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 3 binary64))
(+ 3 (* x (+ 1/6 (* -1/216 x))))
(fma.f64 (fma.f64 #s(literal -1/216 binary64) x #s(literal 1/6 binary64)) x #s(literal 3 binary64))
(+ 3 (* x (+ 1/6 (* x (- (* 1/3888 x) 1/216)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3888 binary64) x #s(literal -1/216 binary64)) x #s(literal 1/6 binary64)) x #s(literal 3 binary64))
(sqrt x)
(sqrt.f64 x)
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -1/216 x))
(fma.f64 #s(literal -1/216 binary64) x #s(literal 1/6 binary64))
(* -81/8 (sqrt (/ 1 (pow x 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -81/8 binary64))
(/ (+ (* -81/8 (sqrt x)) (* 9/2 (sqrt (pow x 3)))) (pow x 2))
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 9/2 binary64) (.f64 #s(literal -81/8 binary64) (sqrt.f64 x))) (.f64 x x))
(* -81/8 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -81/8 binary64))
(/ (+ (* -81/8 (sqrt x)) (* 9/2 (sqrt (pow x 3)))) x)
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 9/2 binary64) (*.f64 #s(literal -81/8 binary64) (sqrt.f64 x))) x)
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(* 9/2 (sqrt x))
(*.f64 #s(literal 9/2 binary64) (sqrt.f64 x))
(* 9/2 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 9/2 binary64))
(/ (+ (* -81/8 (sqrt (/ 1 x))) (* 9/2 (sqrt x))) x)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -81/8 binary64) (*.f64 #s(literal 9/2 binary64) (sqrt.f64 x))) x)
(/ (- (+ (* 9/2 (sqrt x)) (* 729/16 (sqrt (/ 1 (pow x 3))))) (* 81/8 (sqrt (/ 1 x)))) x)
(/.f64 (fma.f64 #s(literal 729/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -81/8 binary64) (*.f64 #s(literal 9/2 binary64) (sqrt.f64 x)))) x)
(/ (- (+ (* -1 (/ (+ (* 6561/128 (sqrt (pow x 7))) (* 6561/32 (sqrt (pow x 7)))) (pow x 6))) (* 9/2 (sqrt x))) (+ (* -729/16 (sqrt (/ 1 (pow x 3)))) (* 81/8 (sqrt (/ 1 x))))) x)
(/.f64 (fma.f64 #s(literal -32805/128 binary64) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 7 binary64))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 729/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -81/8 binary64) (*.f64 #s(literal 9/2 binary64) (sqrt.f64 x))))) x)
x
(* x (+ 1 (* 9 (/ 1 x))))
(+.f64 #s(literal 9 binary64) x)
(* 2 (sqrt x))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
(* x (+ (* 2 (sqrt (/ 1 x))) (* 9/2 (sqrt (/ 1 (pow x 3))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (.f64 #s(literal 9/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x)
(* x (+ (* -81/8 (sqrt (/ 1 (pow x 5)))) (+ (* 2 (sqrt (/ 1 x))) (* 9/2 (sqrt (/ 1 (pow x 3)))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -81/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (.f64 #s(literal 9/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))) x)
(* x (+ (* -81/8 (sqrt (/ 1 (pow x 5)))) (+ (* 2 (sqrt (/ 1 x))) (+ (* 9/2 (sqrt (/ 1 (pow x 3)))) (* 729/16 (sqrt (/ 1 (pow x 7))))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 729/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -81/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (.f64 #s(literal 9/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))) x)
(/ (+ (* -81/8 (sqrt (/ 1 x))) (+ (* 9/2 (sqrt x)) (* 729/16 (sqrt (/ 1 (pow x 3)))))) x)
(/.f64 (fma.f64 #s(literal 729/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -81/8 binary64) (*.f64 #s(literal 9/2 binary64) (sqrt.f64 x)))) x)
(/ (+ (* -32805/128 (sqrt (/ 1 (pow x 5)))) (+ (* -81/8 (sqrt (/ 1 x))) (+ (* 9/2 (sqrt x)) (* 729/16 (sqrt (/ 1 (pow x 3))))))) x)
(/.f64 (fma.f64 #s(literal -32805/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 729/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -81/8 binary64) (*.f64 #s(literal 9/2 binary64) (sqrt.f64 x))))) x)
(* x (+ (sqrt (/ 1 x)) (* 9/2 (sqrt (/ 1 (pow x 3))))))
(*.f64 (fma.f64 #s(literal 9/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -81/8 (sqrt (/ 1 (pow x 5)))) (* 9/2 (sqrt (/ 1 (pow x 3)))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -81/8 binary64) (fma.f64 #s(literal 9/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -81/8 (sqrt (/ 1 (pow x 5)))) (+ (* 9/2 (sqrt (/ 1 (pow x 3)))) (* 729/16 (sqrt (/ 1 (pow x 7))))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 729/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -81/8 binary64) (fma.f64 #s(literal 9/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* 3 (/ 1 x))))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 3 binary64))
(* -1/216 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/216 binary64))
(* (pow x 2) (- (* 1/6 (/ 1 x)) 1/216))
(*.f64 (fma.f64 #s(literal -1/216 binary64) x #s(literal 1/6 binary64)) x)
(* (pow x 2) (- (+ (* 1/6 (/ 1 x)) (/ 3 (pow x 2))) 1/216))
(*.f64 (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 3 binary64) x) x) #s(literal 1/216 binary64)) x #s(literal 1/6 binary64)) x)
(* -1/216 x)
(*.f64 #s(literal -1/216 binary64) x)
(* x (- (* 1/6 (/ 1 x)) 1/216))
(fma.f64 #s(literal -1/216 binary64) x #s(literal 1/6 binary64))
(+ (* -81/8 (sqrt (/ 1 (pow x 3)))) (* 9/2 (sqrt (/ 1 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 9/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -81/8 binary64)))
(* x (+ (* -81/8 (sqrt (/ 1 (pow x 3)))) (* 9/2 (sqrt (/ 1 x)))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 9/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -81/8 binary64))) x)
(* -9/2 (sqrt (/ 1 x)))
(*.f64 #s(literal -9/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1 (/ (+ (* -81/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 9/2 (sqrt x))) x))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -81/8 binary64) (*.f64 #s(literal -9/2 binary64) (sqrt.f64 x))) x)
(* -1 (/ (- (+ (* 9/2 (sqrt x)) (* 729/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4))))) (* 81/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) x))
(/.f64 (fma.f64 (/.f64 #s(literal -729/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -81/8 binary64) (*.f64 #s(literal -9/2 binary64) (sqrt.f64 x)))) x)
(* -1 (/ (- (+ (* -1 (/ (+ (* 6561/128 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 6)))) (* 6561/32 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 6))))) (pow x 6))) (* 9/2 (sqrt x))) (+ (* -729/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 81/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))))) x))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (pow.f64 x #s(literal 7 binary64))) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 32805/128 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal -729/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -81/8 binary64) (*.f64 #s(literal -9/2 binary64) (sqrt.f64 x))))) x)
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
(* -1 (* x (+ (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 9/2 (sqrt (/ 1 (pow x 3)))))))
(.f64 (neg.f64 x) (fma.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 9/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(* -1 (* x (+ (* -81/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 9/2 (sqrt (/ 1 (pow x 3))))))))
(.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 81/8 binary64) (fma.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 9/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))))
(* -1 (* x (+ (* -81/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 9/2 (sqrt (/ 1 (pow x 3)))) (* 729/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))))))))
(.f64 (neg.f64 x) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 729/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 81/8 binary64) (fma.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 9/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))))
(* -1 (/ (+ (* -81/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 9/2 (sqrt x)) (* 729/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))))) x))
(/.f64 (fma.f64 (/.f64 #s(literal -729/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -81/8 binary64) (*.f64 #s(literal -9/2 binary64) (sqrt.f64 x)))) x)
(* -1 (/ (+ (* -32805/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* -81/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 9/2 (sqrt x)) (* 729/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4))))))) x))
(/.f64 (fma.f64 #s(literal 32805/128 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal -729/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -81/8 binary64) (*.f64 #s(literal -9/2 binary64) (sqrt.f64 x))))) x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* x (+ (* 9/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(.f64 (fma.f64 (.f64 #s(literal 9/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(* -1 (* x (+ (* -81/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 9/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 81/8 binary64) (.f64 #s(literal 9/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(* -1 (* x (+ (* -81/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 9/2 (sqrt (/ 1 (pow x 3)))) (+ (* 729/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 729/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 81/8 binary64) (fma.f64 #s(literal 9/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
(* -1 (* x (- 1/216 (* 1/6 (/ 1 x)))))
(fma.f64 #s(literal -1/216 binary64) x #s(literal 1/6 binary64))
(* -9/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 9/2 binary64))
(+ (* -81/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -9/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(fma.f64 #s(literal 81/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 9/2 binary64)))
(* -9/2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 9/2 binary64) (sqrt.f64 x))
(* -1 (* x (+ (* 9/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 81/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(.f64 (fma.f64 #s(literal 81/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 9/2 binary64))) x)
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))

rewrite176.0ms (4.3%)

Memory

-20.6MiB live, 58.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	162
0	54	162
1	245	148
2	1917	148
0	8493	145

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

20 → 544

Calls

Call 1

Inputs
(-.f64 (+.f64 #s(literal 9 binary64) x) x)
(/.f64 (-.f64 (+.f64 #s(literal 9 binary64) x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 9 binary64) x))))
(+.f64 #s(literal 9 binary64) x)
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 9 binary64) x)))
(-.f64 #s(approx (sqrt (+ x 9)) #s(literal 3 binary64)) (sqrt.f64 x))
#s(approx (sqrt (+ x 9)) #s(literal 3 binary64))
(sqrt.f64 x)
(-.f64 #s(approx (sqrt (+ x 9)) (fma.f64 #s(literal 1/6 binary64) x #s(literal 3 binary64))) (sqrt.f64 x))
#s(approx (sqrt (+ x 9)) (fma.f64 #s(literal 1/6 binary64) x #s(literal 3 binary64)))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 3 binary64))
(-.f64 #s(approx (sqrt (+ x 9)) (fma.f64 (fma.f64 #s(literal -1/216 binary64) x #s(literal 1/6 binary64)) x #s(literal 3 binary64))) (sqrt.f64 x))
#s(approx (sqrt (+ x 9)) (fma.f64 (fma.f64 #s(literal -1/216 binary64) x #s(literal 1/6 binary64)) x #s(literal 3 binary64)))
(fma.f64 (fma.f64 #s(literal -1/216 binary64) x #s(literal 1/6 binary64)) x #s(literal 3 binary64))
(fma.f64 #s(literal -1/216 binary64) x #s(literal 1/6 binary64))
#s(approx (- (sqrt (+ x 9)) (sqrt x)) (/.f64 (fma.f64 #s(literal -81/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 9/2 binary64) (sqrt.f64 x))) x))
(/.f64 (fma.f64 #s(literal -81/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 9/2 binary64) (sqrt.f64 x))) x)
(fma.f64 #s(literal -81/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 9/2 binary64) (sqrt.f64 x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (+.f64 #s(literal 9 binary64) x))
(*.f64 #s(literal 9/2 binary64) (sqrt.f64 x))

Outputs
#s(literal 9 binary64)
(*.f64 (/.f64 (+.f64 (+.f64 x #s(literal 9 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))) (/.f64 #s(literal 9 binary64) (+.f64 (+.f64 x #s(literal 9 binary64)) x)))
(*.f64 (/.f64 (fma.f64 x (+.f64 (+.f64 x #s(literal 9 binary64)) x) (pow.f64 (+.f64 x #s(literal 9 binary64)) #s(literal 2 binary64))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))) (/.f64 #s(literal 9 binary64) (fma.f64 x (+.f64 (+.f64 x #s(literal 9 binary64)) x) (pow.f64 (+.f64 x #s(literal 9 binary64)) #s(literal 2 binary64)))))
(.f64 (pow.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)) (.f64 (+.f64 (+.f64 x #s(literal 9 binary64)) x) #s(literal 9 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 x #s(literal 9 binary64)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)) (-.f64 (pow.f64 (+.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (+.f64 (+.f64 x #s(literal 9 binary64)) x) (pow.f64 (+.f64 x #s(literal 9 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 9 binary64) (-.f64 x (+.f64 x #s(literal 9 binary64)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 9 binary64)))))
(.f64 (/.f64 #s(literal 9 binary64) (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 x #s(literal 9 binary64)) #s(literal 3/2 binary64)))) (-.f64 (+.f64 (+.f64 x #s(literal 9 binary64)) x) (sqrt.f64 (.f64 (+.f64 x #s(literal 9 binary64)) x))))
(*.f64 #s(literal -9 binary64) (pow.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)) #s(literal -1 binary64)) #s(literal 9 binary64))
(.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 9 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 (+.f64 (+.f64 (+.f64 x #s(literal 9 binary64)) x) (sqrt.f64 (.f64 (+.f64 x #s(literal 9 binary64)) x))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)))
(*.f64 #s(literal 9 binary64) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (+.f64 (+.f64 x #s(literal 9 binary64)) x) (sqrt.f64 (*.f64 (+.f64 x #s(literal 9 binary64)) x))) (-.f64 (pow.f64 (+.f64 x #s(literal 9 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (+.f64 x #s(literal 9 binary64)) #s(literal 3/2 binary64))) (+.f64 x (-.f64 (+.f64 x #s(literal 9 binary64)) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 9 binary64)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 9 binary64)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 9 binary64)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)))) (neg.f64 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))))) (.f64 (/.f64 (+.f64 x #s(literal 9 binary64)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))) (neg.f64 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))))))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 (+.f64 x #s(literal 9 binary64)) x) #s(literal 9 binary64)) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)) #s(literal -1 binary64)))) (neg.f64 (+.f64 (+.f64 x #s(literal 9 binary64)) x)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 x (+.f64 (+.f64 x #s(literal 9 binary64)) x) (pow.f64 (+.f64 x #s(literal 9 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 9 binary64)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))) #s(literal 2 binary64)) (pow.f64 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (+.f64 x #s(literal 9 binary64)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 9 binary64)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 9 binary64)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))) #s(literal 2 binary64)) (*.f64 (/.f64 (+.f64 x #s(literal 9 binary64)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 9 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (+.f64 (+.f64 (+.f64 x #s(literal 9 binary64)) x) (sqrt.f64 (*.f64 (+.f64 x #s(literal 9 binary64)) x))))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 (+.f64 x #s(literal 9 binary64)) x) #s(literal 9 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (+.f64 x #s(literal 9 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 x (+.f64 (+.f64 x #s(literal 9 binary64)) x) (pow.f64 (+.f64 x #s(literal 9 binary64)) #s(literal 2 binary64))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)))))
(/.f64 (neg.f64 (-.f64 (.f64 (+.f64 x #s(literal 9 binary64)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))) (.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)) x))) (neg.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 x #s(literal 9 binary64)) #s(literal 3/2 binary64)) (+.f64 (+.f64 (+.f64 x #s(literal 9 binary64)) x) (sqrt.f64 (.f64 (+.f64 x #s(literal 9 binary64)) x)))) (.f64 (+.f64 (+.f64 (+.f64 x #s(literal 9 binary64)) x) (sqrt.f64 (.f64 (+.f64 x #s(literal 9 binary64)) x))) (pow.f64 x #s(literal 3/2 binary64)))) (.f64 (+.f64 (+.f64 (+.f64 x #s(literal 9 binary64)) x) (sqrt.f64 (.f64 (+.f64 x #s(literal 9 binary64)) x))) (+.f64 (+.f64 (+.f64 x #s(literal 9 binary64)) x) (sqrt.f64 (*.f64 (+.f64 x #s(literal 9 binary64)) x)))))
(/.f64 (-.f64 (.f64 (neg.f64 (+.f64 x #s(literal 9 binary64))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)))) (.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))) (neg.f64 x))) (*.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)))))
(/.f64 (-.f64 (.f64 (neg.f64 (+.f64 x #s(literal 9 binary64))) (/.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)) x)) (.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))) #s(literal 1 binary64))) (*.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))) (/.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)) x)))
(/.f64 (-.f64 (.f64 (neg.f64 (+.f64 x #s(literal 9 binary64))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))) (.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))) x)) (*.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 81 binary64) (.f64 x x)) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)))) (.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)) (-.f64 #s(literal 9 binary64) x)) (neg.f64 x))) (.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)) (-.f64 #s(literal 9 binary64) x)) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)))))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 81 binary64) (.f64 x x)) (/.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)) x)) (.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)) (-.f64 #s(literal 9 binary64) x)) #s(literal 1 binary64))) (.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)) (-.f64 #s(literal 9 binary64) x)) (/.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)) x)))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 81 binary64) (.f64 x x)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))) (.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)) (-.f64 #s(literal 9 binary64) x)) x)) (.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)) (-.f64 #s(literal 9 binary64) x)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))))
(/.f64 (-.f64 (.f64 (fma.f64 x x #s(literal -81 binary64)) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)))) (.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)) (-.f64 x #s(literal 9 binary64))) (neg.f64 x))) (.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)) (-.f64 x #s(literal 9 binary64))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)))))
(/.f64 (-.f64 (.f64 (fma.f64 x x #s(literal -81 binary64)) (/.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)) x)) (.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)) (-.f64 x #s(literal 9 binary64))) #s(literal 1 binary64))) (.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)) (-.f64 x #s(literal 9 binary64))) (/.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)) x)))
(/.f64 (-.f64 (.f64 (fma.f64 x x #s(literal -81 binary64)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))) (.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)) (-.f64 x #s(literal 9 binary64))) x)) (.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)) (-.f64 x #s(literal 9 binary64))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)))) (.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)) (fma.f64 x (-.f64 x #s(literal 9 binary64)) #s(literal 81 binary64))) (neg.f64 x))) (.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)) (fma.f64 x (-.f64 x #s(literal 9 binary64)) #s(literal 81 binary64))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)) x)) (.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)) (fma.f64 x (-.f64 x #s(literal 9 binary64)) #s(literal 81 binary64))) #s(literal 1 binary64))) (.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)) (fma.f64 x (-.f64 x #s(literal 9 binary64)) #s(literal 81 binary64))) (/.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)) x)))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))) (.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)) (fma.f64 x (-.f64 x #s(literal 9 binary64)) #s(literal 81 binary64))) x)) (.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)) (fma.f64 x (-.f64 x #s(literal 9 binary64)) #s(literal 81 binary64))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)))) (.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)) (-.f64 (fma.f64 x x #s(literal 81 binary64)) (.f64 x #s(literal 9 binary64)))) (neg.f64 x))) (.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)) (-.f64 (fma.f64 x x #s(literal 81 binary64)) (*.f64 x #s(literal 9 binary64)))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)) x)) (.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)) (-.f64 (fma.f64 x x #s(literal 81 binary64)) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)) (-.f64 (fma.f64 x x #s(literal 81 binary64)) (*.f64 x #s(literal 9 binary64)))) (/.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)) x)))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))) (.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)) (-.f64 (fma.f64 x x #s(literal 81 binary64)) (.f64 x #s(literal 9 binary64)))) x)) (.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)) (-.f64 (fma.f64 x x #s(literal 81 binary64)) (*.f64 x #s(literal 9 binary64)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)))) (.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)) (+.f64 x #s(literal 9 binary64))) (neg.f64 x))) (*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)) (+.f64 x #s(literal 9 binary64))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)))))
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(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -531441/512 binary64) (.f64 #s(literal 729/8 binary64) (pow.f64 x #s(literal 3/2 binary64))))) (neg.f64 (fma.f64 #s(literal 6561/64 binary64) (pow.f64 x #s(literal -1 binary64)) (-.f64 (.f64 #s(literal 81/4 binary64) x) (.f64 (.f64 (/.f64 #s(literal -81/8 binary64) (sqrt.f64 x)) #s(literal 9/2 binary64)) (sqrt.f64 x))))))
(/.f64 (-.f64 (.f64 #s(literal 6561/64 binary64) (pow.f64 x #s(literal -1 binary64))) (.f64 #s(literal 81/4 binary64) x)) (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -81/8 binary64) (*.f64 #s(literal -9/2 binary64) (sqrt.f64 x))))
(/.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -531441/512 binary64) (.f64 #s(literal 729/8 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (fma.f64 #s(literal 81/4 binary64) x (-.f64 (.f64 #s(literal 6561/64 binary64) (pow.f64 x #s(literal -1 binary64))) (.f64 (.f64 (/.f64 #s(literal -81/8 binary64) (sqrt.f64 x)) #s(literal 9/2 binary64)) (sqrt.f64 x)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -531441/512 binary64) (.f64 #s(literal 729/8 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (fma.f64 #s(literal 6561/64 binary64) (pow.f64 x #s(literal -1 binary64)) (-.f64 (.f64 #s(literal 81/4 binary64) x) (.f64 (.f64 (/.f64 #s(literal -81/8 binary64) (sqrt.f64 x)) #s(literal 9/2 binary64)) (sqrt.f64 x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -81/8 binary64) (.f64 #s(literal -9/2 binary64) (sqrt.f64 x))) (-.f64 (.f64 #s(literal 6561/64 binary64) (pow.f64 x #s(literal -1 binary64))) (*.f64 #s(literal 81/4 binary64) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 6561/64 binary64) (pow.f64 x #s(literal -1 binary64)) (-.f64 (.f64 #s(literal 81/4 binary64) x) (.f64 (.f64 (/.f64 #s(literal -81/8 binary64) (sqrt.f64 x)) #s(literal 9/2 binary64)) (sqrt.f64 x)))) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -531441/512 binary64) (.f64 #s(literal 729/8 binary64) (pow.f64 x #s(literal 3/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -81/8 binary64) (.f64 #s(literal -9/2 binary64) (sqrt.f64 x))) (-.f64 (.f64 #s(literal 6561/64 binary64) (pow.f64 x #s(literal -1 binary64))) (*.f64 #s(literal 81/4 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 6561/64 binary64) (pow.f64 x #s(literal -1 binary64)) (-.f64 (.f64 #s(literal 81/4 binary64) x) (.f64 (.f64 (/.f64 #s(literal -81/8 binary64) (sqrt.f64 x)) #s(literal 9/2 binary64)) (sqrt.f64 x)))) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -531441/512 binary64) (.f64 #s(literal 729/8 binary64) (pow.f64 x #s(literal 3/2 binary64))))))
(fma.f64 #s(literal 9/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -81/8 binary64) (sqrt.f64 x)))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -81/8 binary64) (*.f64 #s(literal 9/2 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal -81/8 binary64) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal 9/2 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) #s(literal 9/2 binary64) (/.f64 #s(literal -81/8 binary64) (sqrt.f64 x)))
(-.f64 (/.f64 (.f64 #s(literal 81/4 binary64) x) (-.f64 (.f64 #s(literal 9/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -81/8 binary64) (sqrt.f64 x)))) (/.f64 (.f64 #s(literal 6561/64 binary64) (pow.f64 x #s(literal -1 binary64))) (-.f64 (.f64 #s(literal 9/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -81/8 binary64) (sqrt.f64 x)))))
(-.f64 (/.f64 (.f64 #s(literal 6561/64 binary64) (pow.f64 x #s(literal -1 binary64))) (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -81/8 binary64) (.f64 #s(literal -9/2 binary64) (sqrt.f64 x)))) (/.f64 (.f64 #s(literal 81/4 binary64) x) (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -81/8 binary64) (.f64 #s(literal -9/2 binary64) (sqrt.f64 x)))))
(+.f64 (/.f64 #s(literal -81/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 9/2 binary64) (sqrt.f64 x)))
(+.f64 (*.f64 #s(literal 9/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -81/8 binary64) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(pow.f64 x #s(literal -1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (neg.f64 x))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(sqrt.f64 (pow.f64 x #s(literal -1 binary64)))
(fabs.f64 (pow.f64 x #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (log.f64 (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64)))) (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64)))))
(*.f64 (pow.f64 (+.f64 x #s(literal 9 binary64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x #s(literal 9 binary64)) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (-.f64 #s(literal 81 binary64) (.f64 x x))) (sqrt.f64 (pow.f64 (-.f64 #s(literal 9 binary64) x) #s(literal -1 binary64))))
(.f64 (sqrt.f64 (-.f64 #s(literal 81 binary64) (.f64 x x))) (pow.f64 (pow.f64 (-.f64 #s(literal 9 binary64) x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal -81 binary64))) (sqrt.f64 (pow.f64 (-.f64 x #s(literal 9 binary64)) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal -81 binary64))) (pow.f64 (pow.f64 (-.f64 x #s(literal 9 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal 9 binary64)) #s(literal 81 binary64)) #s(literal -1 binary64))))
(.f64 (sqrt.f64 (+.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (-.f64 (fma.f64 x x #s(literal 81 binary64)) (.f64 x #s(literal 9 binary64))) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal 9 binary64)) #s(literal 81 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (+.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (pow.f64 (-.f64 (fma.f64 x x #s(literal 81 binary64)) (.f64 x #s(literal 9 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (+.f64 x #s(literal 9 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 9 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) #s(literal 1 binary64))
(pow.f64 (+.f64 x #s(literal 9 binary64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 81 binary64) (*.f64 x x)))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 9 binary64) x))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal -81 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 9 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 x (-.f64 x #s(literal 9 binary64)) #s(literal 81 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (sqrt.f64 (-.f64 (fma.f64 x x #s(literal 81 binary64)) (*.f64 x #s(literal 9 binary64))))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 81 binary64) (*.f64 x x)))) (sqrt.f64 (neg.f64 (-.f64 #s(literal 9 binary64) x))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x #s(literal -81 binary64)))) (sqrt.f64 (neg.f64 (-.f64 x #s(literal 9 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 x (-.f64 x #s(literal 9 binary64)) #s(literal 81 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (neg.f64 (-.f64 (fma.f64 x x #s(literal 81 binary64)) (*.f64 x #s(literal 9 binary64))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 81 binary64) (*.f64 x x))) (sqrt.f64 (-.f64 #s(literal 9 binary64) x)))
(/.f64 (sqrt.f64 (fma.f64 x x #s(literal -81 binary64))) (sqrt.f64 (-.f64 x #s(literal 9 binary64))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 x (-.f64 x #s(literal 9 binary64)) #s(literal 81 binary64))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (-.f64 (fma.f64 x x #s(literal 81 binary64)) (*.f64 x #s(literal 9 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 #s(literal 9 binary64) x) (-.f64 #s(literal 81 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 x #s(literal 9 binary64)) (fma.f64 x x #s(literal -81 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 x (-.f64 x #s(literal 9 binary64)) #s(literal 81 binary64)) (+.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 81 binary64)) (*.f64 x #s(literal 9 binary64))) (+.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 3 binary64))))))
(sqrt.f64 (+.f64 x #s(literal 9 binary64)))
(fabs.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64)))))
(*.f64 #s(literal 9/2 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 9/2 binary64))

eval87.0ms (2.1%)

Memory: 70.0MiB live, 70.0MiB allocated
Compiler: Compiled 20 273 to 2 619 computations (87.1% saved)

prune90.0ms (2.2%)

Memory

-52.1MiB live, 33.0MiB allocated

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	732	11	743
Fresh	3	2	5
Picked	3	2	5
Done	0	1	1
Total	738	16	754

Accuracy

100.0%

Counts

754 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.6%	(/.f64 (-.f64 (+.f64 #s(literal 9 binary64) x) x) (+.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -81 binary64))) (sqrt.f64 (-.f64 x #s(literal 9 binary64))))))
	7.8%	(/.f64 (-.f64 (+.f64 #s(literal 9 binary64) x) x) #s(approx (+ (sqrt x) (sqrt (+ 9 x))) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
	99.8%	(/.f64 #s(approx (- (+ 9 x) x) #s(literal 9 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 9 binary64) x))))
✓	52.9%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))
✓	49.6%	(-.f64 #s(approx (sqrt (+ x 9)) (fma.f64 (fma.f64 #s(literal -1/216 binary64) x #s(literal 1/6 binary64)) x #s(literal 3 binary64))) (sqrt.f64 x))
	51.1%	(-.f64 #s(approx (sqrt (+ x 9)) (+.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64))) (sqrt.f64 x))
	3.5%	(-.f64 #s(approx (sqrt (+ x 9)) (sqrt.f64 x)) (sqrt.f64 x))
	3.1%	(-.f64 #s(approx (sqrt (+ x 9)) #s(approx (+ (* 1/6 x) 3) (*.f64 #s(literal 1/6 binary64) x))) (sqrt.f64 x))
✓	49.4%	(-.f64 #s(approx (sqrt (+ x 9)) #s(literal 3 binary64)) (sqrt.f64 x))
	58.0%	#s(approx (/ (- (+ 9 x) x) (+ (sqrt x) (sqrt (+ 9 x)))) (/.f64 #s(literal 9 binary64) (+.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	53.0%	#s(approx (/ (- (+ 9 x) x) (+ (sqrt x) (sqrt (+ 9 x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 9/2 binary64)))
	51.1%	#s(approx (- (sqrt (+ x 9)) (sqrt x)) (fma.f64 #s(literal 1/6 binary64) x (-.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	50.3%	#s(approx (- (sqrt (+ x 9)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 9/2 binary64) (/.f64 #s(literal -81/8 binary64) (sqrt.f64 x))) x))
	50.1%	#s(approx (- (sqrt (+ x 9)) (sqrt x)) (/.f64 (fma.f64 #s(literal -81/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 9/2 binary64) (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))) x))
	53.0%	#s(approx (- (sqrt (+ x 9)) (sqrt x)) (/.f64 #s(approx (+ (* -81/8 (sqrt (/ 1 x))) (* 9/2 (sqrt x))) (*.f64 #s(literal 9/2 binary64) (sqrt.f64 x))) x))
	50.2%	#s(approx (- (sqrt (+ x 9)) (sqrt x)) (*.f64 (neg.f64 (fma.f64 #s(literal 9/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -81/8 binary64) (sqrt.f64 x)))) (/.f64 #s(literal -1 binary64) x)))

Compiler

Compiled 651 to 324 computations (50.2% saved)

regimes10.0ms (0.3%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

22 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (sqrt (+ x 9)) #s(literal 3 binary64)) (sqrt.f64 x))
(-.f64 #s(approx (sqrt (+ x 9)) #s(approx (+ (* 1/6 x) 3) (*.f64 #s(literal 1/6 binary64) x))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 9)) (sqrt x)) (fma.f64 #s(literal 1/6 binary64) x (-.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (sqrt (+ x 9)) (fma.f64 #s(literal 1/6 binary64) x #s(literal 3 binary64))) (sqrt.f64 x))
(-.f64 #s(approx (sqrt (+ x 9)) (+.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64))) (sqrt.f64 x))
(-.f64 #s(approx (sqrt (+ x 9)) (sqrt.f64 x)) (sqrt.f64 x))
#s(approx (/ (- (+ 9 x) x) (+ (sqrt x) (sqrt (+ 9 x)))) (/.f64 #s(literal 9 binary64) (+.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (sqrt (+ x 9)) (fma.f64 (fma.f64 #s(literal -1/216 binary64) x #s(literal 1/6 binary64)) x #s(literal 3 binary64))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 9)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 9/2 binary64)))
#s(approx (- (sqrt (+ x 9)) (sqrt x)) (/.f64 #s(approx (+ (* -81/8 (sqrt (/ 1 x))) (* 9/2 (sqrt x))) (*.f64 #s(literal 9/2 binary64) (sqrt.f64 x))) x))
#s(approx (/ (- (+ 9 x) x) (+ (sqrt x) (sqrt (+ 9 x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 9/2 binary64)))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))
(/.f64 (-.f64 (+.f64 #s(literal 9 binary64) x) x) #s(approx (+ (sqrt x) (sqrt (+ 9 x))) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
(/.f64 #s(approx (- (+ 9 x) x) #s(literal 9 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 9 binary64) x))))
(/.f64 (-.f64 (+.f64 #s(literal 9 binary64) x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 9 binary64) x))))
#s(approx (- (sqrt (+ x 9)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 9/2 binary64) (/.f64 #s(literal -81/8 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (+ x 9)) (sqrt x)) (/.f64 (fma.f64 #s(literal -81/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 9/2 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (+ x 9)) (sqrt x)) (*.f64 (neg.f64 (fma.f64 #s(literal 9/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -81/8 binary64) (sqrt.f64 x)))) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (-.f64 (+.f64 #s(literal 9 binary64) x) x) (+.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -81 binary64))) (sqrt.f64 (-.f64 x #s(literal 9 binary64))))))
#s(approx (- (sqrt (+ x 9)) (sqrt x)) (/.f64 (fma.f64 #s(literal -81/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 9/2 binary64) (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))) x))
(.f64 (/.f64 (-.f64 (+.f64 #s(literal 9 binary64) x) x) (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 9 binary64) x) #s(literal 3/2 binary64)))) (-.f64 (+.f64 (+.f64 #s(literal 9 binary64) x) x) (sqrt.f64 (.f64 (+.f64 #s(literal 9 binary64) x) x))))
#s(approx (- (sqrt (+ x 9)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 729/16 binary64) (fma.f64 #s(literal -81/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 9/2 binary64) (sqrt.f64 x)))) x))

Outputs
(/.f64 #s(approx (- (+ 9 x) x) #s(literal 9 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 9 binary64) x))))

Calls

2 calls:

5.0ms	x
4.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes7.0ms (0.2%)

Memory

5.1MiB live, 5.1MiB allocated

Counts

13 → 2

Calls

Call 1

Inputs
(-.f64 #s(approx (sqrt (+ x 9)) #s(literal 3 binary64)) (sqrt.f64 x))
(-.f64 #s(approx (sqrt (+ x 9)) #s(approx (+ (* 1/6 x) 3) (*.f64 #s(literal 1/6 binary64) x))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 9)) (sqrt x)) (fma.f64 #s(literal 1/6 binary64) x (-.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (sqrt (+ x 9)) (fma.f64 #s(literal 1/6 binary64) x #s(literal 3 binary64))) (sqrt.f64 x))
(-.f64 #s(approx (sqrt (+ x 9)) (+.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64))) (sqrt.f64 x))
(-.f64 #s(approx (sqrt (+ x 9)) (sqrt.f64 x)) (sqrt.f64 x))
#s(approx (/ (- (+ 9 x) x) (+ (sqrt x) (sqrt (+ 9 x)))) (/.f64 #s(literal 9 binary64) (+.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (sqrt (+ x 9)) (fma.f64 (fma.f64 #s(literal -1/216 binary64) x #s(literal 1/6 binary64)) x #s(literal 3 binary64))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 9)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 9/2 binary64)))
#s(approx (- (sqrt (+ x 9)) (sqrt x)) (/.f64 #s(approx (+ (* -81/8 (sqrt (/ 1 x))) (* 9/2 (sqrt x))) (*.f64 #s(literal 9/2 binary64) (sqrt.f64 x))) x))
#s(approx (/ (- (+ 9 x) x) (+ (sqrt x) (sqrt (+ 9 x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 9/2 binary64)))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))
(/.f64 (-.f64 (+.f64 #s(literal 9 binary64) x) x) #s(approx (+ (sqrt x) (sqrt (+ 9 x))) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))

Outputs

#s(approx (- (sqrt (+ x 9)) (sqrt x)) (/.f64 #s(approx (+ (* -81/8 (sqrt (/ 1 x))) (* 9/2 (sqrt x))) (*.f64 #s(literal 9/2 binary64) (sqrt.f64 x))) x))

(-.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))

Calls

2 calls:

3.0ms	x
3.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
99.4%	2	`x`
99.4%	2	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes6.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB allocated

Counts

11 → 2

Calls

Call 1

Inputs
(-.f64 #s(approx (sqrt (+ x 9)) #s(literal 3 binary64)) (sqrt.f64 x))
(-.f64 #s(approx (sqrt (+ x 9)) #s(approx (+ (* 1/6 x) 3) (*.f64 #s(literal 1/6 binary64) x))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 9)) (sqrt x)) (fma.f64 #s(literal 1/6 binary64) x (-.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (sqrt (+ x 9)) (fma.f64 #s(literal 1/6 binary64) x #s(literal 3 binary64))) (sqrt.f64 x))
(-.f64 #s(approx (sqrt (+ x 9)) (+.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64))) (sqrt.f64 x))
(-.f64 #s(approx (sqrt (+ x 9)) (sqrt.f64 x)) (sqrt.f64 x))
#s(approx (/ (- (+ 9 x) x) (+ (sqrt x) (sqrt (+ 9 x)))) (/.f64 #s(literal 9 binary64) (+.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (sqrt (+ x 9)) (fma.f64 (fma.f64 #s(literal -1/216 binary64) x #s(literal 1/6 binary64)) x #s(literal 3 binary64))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 9)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 9/2 binary64)))
#s(approx (- (sqrt (+ x 9)) (sqrt x)) (/.f64 #s(approx (+ (* -81/8 (sqrt (/ 1 x))) (* 9/2 (sqrt x))) (*.f64 #s(literal 9/2 binary64) (sqrt.f64 x))) x))
#s(approx (/ (- (+ 9 x) x) (+ (sqrt x) (sqrt (+ 9 x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 9/2 binary64)))

Outputs

#s(approx (- (sqrt (+ x 9)) (sqrt x)) (/.f64 #s(approx (+ (* -81/8 (sqrt (/ 1 x))) (* 9/2 (sqrt x))) (*.f64 #s(literal 9/2 binary64) (sqrt.f64 x))) x))

(-.f64 #s(approx (sqrt (+ x 9)) (fma.f64 (fma.f64 #s(literal -1/216 binary64) x #s(literal 1/6 binary64)) x #s(literal 3 binary64))) (sqrt.f64 x))

Calls

2 calls:

3.0ms	x
2.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
98.4%	2	`x`
98.4%	2	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.1%)

Memory

4.3MiB live, 4.3MiB allocated

Counts

9 → 2

Calls

Call 1

Inputs
(-.f64 #s(approx (sqrt (+ x 9)) #s(literal 3 binary64)) (sqrt.f64 x))
(-.f64 #s(approx (sqrt (+ x 9)) #s(approx (+ (* 1/6 x) 3) (*.f64 #s(literal 1/6 binary64) x))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 9)) (sqrt x)) (fma.f64 #s(literal 1/6 binary64) x (-.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (sqrt (+ x 9)) (fma.f64 #s(literal 1/6 binary64) x #s(literal 3 binary64))) (sqrt.f64 x))
(-.f64 #s(approx (sqrt (+ x 9)) (+.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64))) (sqrt.f64 x))
(-.f64 #s(approx (sqrt (+ x 9)) (sqrt.f64 x)) (sqrt.f64 x))
#s(approx (/ (- (+ 9 x) x) (+ (sqrt x) (sqrt (+ 9 x)))) (/.f64 #s(literal 9 binary64) (+.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (sqrt (+ x 9)) (fma.f64 (fma.f64 #s(literal -1/216 binary64) x #s(literal 1/6 binary64)) x #s(literal 3 binary64))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 9)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 9/2 binary64)))

Outputs

#s(approx (- (sqrt (+ x 9)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 9/2 binary64)))

(-.f64 #s(approx (sqrt (+ x 9)) (fma.f64 (fma.f64 #s(literal -1/216 binary64) x #s(literal 1/6 binary64)) x #s(literal 3 binary64))) (sqrt.f64 x))

Calls

2 calls:

3.0ms	x
2.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
98.4%	2	`x`
98.4%	2	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.1%)

Memory

4.1MiB live, 4.1MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (sqrt (+ x 9)) #s(literal 3 binary64)) (sqrt.f64 x))
(-.f64 #s(approx (sqrt (+ x 9)) #s(approx (+ (* 1/6 x) 3) (*.f64 #s(literal 1/6 binary64) x))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 9)) (sqrt x)) (fma.f64 #s(literal 1/6 binary64) x (-.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (sqrt (+ x 9)) (fma.f64 #s(literal 1/6 binary64) x #s(literal 3 binary64))) (sqrt.f64 x))
(-.f64 #s(approx (sqrt (+ x 9)) (+.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64))) (sqrt.f64 x))
(-.f64 #s(approx (sqrt (+ x 9)) (sqrt.f64 x)) (sqrt.f64 x))
#s(approx (/ (- (+ 9 x) x) (+ (sqrt x) (sqrt (+ 9 x)))) (/.f64 #s(literal 9 binary64) (+.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (sqrt (+ x 9)) (fma.f64 (fma.f64 #s(literal -1/216 binary64) x #s(literal 1/6 binary64)) x #s(literal 3 binary64))) (sqrt.f64 x))

Outputs
#s(approx (/ (- (+ 9 x) x) (+ (sqrt x) (sqrt (+ 9 x)))) (/.f64 #s(literal 9 binary64) (+.f64 #s(literal 3 binary64) (sqrt.f64 x))))

Calls

2 calls:

2.0ms	x
2.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
58.0%	1	`x`
58.0%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes4.0ms (0.1%)

Memory

3.7MiB live, 3.7MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (sqrt (+ x 9)) #s(literal 3 binary64)) (sqrt.f64 x))
(-.f64 #s(approx (sqrt (+ x 9)) #s(approx (+ (* 1/6 x) 3) (*.f64 #s(literal 1/6 binary64) x))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 9)) (sqrt x)) (fma.f64 #s(literal 1/6 binary64) x (-.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (sqrt (+ x 9)) (fma.f64 #s(literal 1/6 binary64) x #s(literal 3 binary64))) (sqrt.f64 x))
(-.f64 #s(approx (sqrt (+ x 9)) (+.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64))) (sqrt.f64 x))
(-.f64 #s(approx (sqrt (+ x 9)) (sqrt.f64 x)) (sqrt.f64 x))

Outputs
#s(approx (- (sqrt (+ x 9)) (sqrt x)) (fma.f64 #s(literal 1/6 binary64) x (-.f64 #s(literal 3 binary64) (sqrt.f64 x))))

Calls

2 calls:

2.0ms	x
2.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
51.1%	1	`x`
51.1%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0.1%)

Memory

2.8MiB live, 2.8MiB allocated

Accuracy

Total -30.5b remaining (-94.4%)

Threshold costs -30.5b (-94.4%)

Counts

2 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (sqrt (+ x 9)) #s(literal 3 binary64)) (sqrt.f64 x))
(-.f64 #s(approx (sqrt (+ x 9)) #s(approx (+ (* 1/6 x) 3) (*.f64 #s(literal 1/6 binary64) x))) (sqrt.f64 x))

Outputs
(-.f64 #s(approx (sqrt (+ x 9)) #s(literal 3 binary64)) (sqrt.f64 x))

Calls

2 calls:

1.0ms	x
1.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
49.4%	1	`x`
49.4%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

bsearch1.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.7443976402282715e-6	0.000654426621622406

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.000654426621622406	1.6284833494991433

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.000654426621622406	1.6284833494991433

Compiler

Compiled 10 to 10 computations (0% saved)

simplify52.0ms (1.3%)

Memory

8.3MiB live, 8.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	58	192
1	82	188
2	100	184
3	143	184
4	266	184
5	1158	184
6	6421	184

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 #s(approx (- (+ 9 x) x) #s(literal 9 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 9 binary64) x))))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)) #s(literal 5902958103587057/590295810358705651712 binary64)) #s(approx (- (sqrt (+ x 9)) (sqrt x)) (/.f64 #s(approx (+ (* -81/8 (sqrt (/ 1 x))) (* 9/2 (sqrt x))) (*.f64 #s(literal 9/2 binary64) (sqrt.f64 x))) x)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (- (sqrt (+ x 9)) (sqrt x)) (/.f64 #s(approx (+ (* -81/8 (sqrt (/ 1 x))) (* 9/2 (sqrt x))) (*.f64 #s(literal 9/2 binary64) (sqrt.f64 x))) x)) (-.f64 #s(approx (sqrt (+ x 9)) (fma.f64 (fma.f64 #s(literal -1/216 binary64) x #s(literal 1/6 binary64)) x #s(literal 3 binary64))) (sqrt.f64 x)))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (- (sqrt (+ x 9)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 9/2 binary64))) (-.f64 #s(approx (sqrt (+ x 9)) (fma.f64 (fma.f64 #s(literal -1/216 binary64) x #s(literal 1/6 binary64)) x #s(literal 3 binary64))) (sqrt.f64 x)))
#s(approx (/ (- (+ 9 x) x) (+ (sqrt x) (sqrt (+ 9 x)))) (/.f64 #s(literal 9 binary64) (+.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (- (sqrt (+ x 9)) (sqrt x)) (fma.f64 #s(literal 1/6 binary64) x (-.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (sqrt (+ x 9)) #s(literal 3 binary64)) (sqrt.f64 x))

Outputs
(/.f64 #s(approx (- (+ 9 x) x) #s(literal 9 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 9 binary64) x))))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)) #s(literal 5902958103587057/590295810358705651712 binary64)) #s(approx (- (sqrt (+ x 9)) (sqrt x)) (/.f64 #s(approx (+ (* -81/8 (sqrt (/ 1 x))) (* 9/2 (sqrt x))) (*.f64 #s(literal 9/2 binary64) (sqrt.f64 x))) x)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (- (sqrt (+ x 9)) (sqrt x)) (/.f64 #s(approx (+ (* -81/8 (sqrt (/ 1 x))) (* 9/2 (sqrt x))) (*.f64 #s(literal 9/2 binary64) (sqrt.f64 x))) x)) (-.f64 #s(approx (sqrt (+ x 9)) (fma.f64 (fma.f64 #s(literal -1/216 binary64) x #s(literal 1/6 binary64)) x #s(literal 3 binary64))) (sqrt.f64 x)))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (- (sqrt (+ x 9)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 9/2 binary64))) (-.f64 #s(approx (sqrt (+ x 9)) (fma.f64 (fma.f64 #s(literal -1/216 binary64) x #s(literal 1/6 binary64)) x #s(literal 3 binary64))) (sqrt.f64 x)))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 9 binary64))) (sqrt.f64 x)) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (- (sqrt (+ x 9)) (sqrt x)) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 9/2 binary64))) (-.f64 #s(approx (sqrt (+ x 9)) (fma.f64 (fma.f64 #s(literal -1/216 binary64) x #s(literal 1/6 binary64)) x #s(literal 3 binary64))) (sqrt.f64 x)))
#s(approx (/ (- (+ 9 x) x) (+ (sqrt x) (sqrt (+ 9 x)))) (/.f64 #s(literal 9 binary64) (+.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (- (sqrt (+ x 9)) (sqrt x)) (fma.f64 #s(literal 1/6 binary64) x (-.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (sqrt (+ x 9)) #s(literal 3 binary64)) (sqrt.f64 x))

soundness994.0ms (24.4%)

Memory

-62.4MiB live, 16.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	10	16
1	43	16
2	296	16
3	3343	16
0	8962	16
0	117	452
1	297	400
2	819	394
3	2434	388
4	5007	388
0	8242	352
0	254	1197
1	717	1067
2	2269	1050
3	6639	1049
0	8077	971

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 334 to 154 computations (53.9% saved)

preprocess36.0ms (0.9%)

Memory: 25.0MiB live, 25.0MiB allocated
Compiler: Compiled 398 to 134 computations (66.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

sqrt(x + 9) - sqrt(x)

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (30.5%)

explain176.0ms (4.3%)

preprocess83.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify10.0ms (0.2%)

localize34.0ms (0.8%)

series6.0ms (0.1%)

simplify239.0ms (5.9%)

rewrite246.0ms (6%)

eval40.0ms (1%)

prune13.0ms (0.3%)

simplify217.0ms (5.3%)

localize106.0ms (2.6%)

series11.0ms (0.3%)

simplify171.0ms (4.2%)

rewrite176.0ms (4.3%)

eval87.0ms (2.1%)

prune90.0ms (2.2%)

regimes10.0ms (0.3%)

regimes7.0ms (0.2%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify52.0ms (1.3%)

soundness994.0ms (24.4%)

preprocess36.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	19
1	17	17
2	40	16
3	74	16
4	125	16
5	185	16
6	209	16
7	220	16
0	6	7
0	10	7
1	13	7
2	18	7
3	24	7
4	32	7
5	47	7
6	80	7
7	110	7
8	159	7
9	175	7
10	183	7
0	183	7

Iter	Nodes	Cost
0	6	18
0	10	18
1	13	18
2	18	18
3	24	18
4	32	18
5	47	18
6	80	18
7	110	18
8	159	18
9	175	18
10	183	18
0	183	18

Iter	Nodes	Cost
0	8	19
1	17	17
2	40	16
3	74	16
4	125	16
5	185	16
6	209	16
7	220	16
0	6	7
0	10	7
1	13	7
2	18	7
3	24	7
4	32	7
5	47	7
6	80	7
7	110	7
8	159	7
9	175	7
10	183	7
0	183	7

Iter	Nodes	Cost
0	6	18
0	10	18
1	13	18
2	18	18
3	24	18
4	32	18
5	47	18
6	80	18
7	110	18
8	159	18
9	175	18
10	183	18
0	183	18

Iter	Nodes	Cost
0	8	19
1	17	17
2	40	16
3	74	16
4	125	16
5	185	16
6	209	16
7	220	16
0	6	7
0	10	7
1	13	7
2	18	7
3	24	7
4	32	7
5	47	7
6	80	7
7	110	7
8	159	7
9	175	7
10	183	7
0	183	7

Iter	Nodes	Cost
0	6	18
0	10	18
1	13	18
2	18	18
3	24	18
4	32	18
5	47	18
6	80	18
7	110	18
8	159	18
9	175	18
10	183	18
0	183	18