Metrics for (tan (* (PI) x))

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze70.0ms (2.8%)

Memory

-55.4MiB live, 24.0MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	100%	0%	0%	0%	0%	3
25%	25%	75%	0%	0%	0%	0%	4
37.5%	37.5%	62.5%	0%	0%	0%	0%	5
43.8%	43.7%	56.2%	0%	0%	0%	0%	6
46.9%	46.9%	53.1%	0%	0%	0%	0%	7
48.4%	48.4%	51.5%	0%	0%	0%	0%	8
49.2%	49.2%	50.8%	0%	0%	0%	0%	9
49.6%	49.6%	50.4%	0%	0%	0%	0%	10
49.8%	49.8%	50.2%	0%	0%	0%	0%	11
49.9%	49.9%	50.1%	0%	0%	0%	0%	12

Compiler

Compiled 6 to 4 computations (33.3% saved)

sample608.0ms (24.3%)

Memory

52.2MiB live, 275.4MiB allocated

Samples

387.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 234.0ms

ival-tanu: 221.0ms (94.6% of total)

ival-true: 8.0ms (3.4% of total)

ival-assert: 4.0ms (1.7% of total)

Bogosity

explain64.0ms (2.5%)

Memory

23.2MiB live, 23.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
129	-	-	`(tan.f64 (*.f64 (PI.f64) x))`
0	-	-	`(*.f64 (PI.f64) x)`
0	-	-	`(PI.f64)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`tan.f64`	`(tan.f64 (*.f64 (PI.f64) x))`	sensitivity	129	0

Confusion

	Predicted +	Predicted -
+	129	0
-	0	127

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	129	0	0
-	0	0	127

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	127
1	129

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

30.0ms

512×

valid

Compiler

Compiled 26 to 16 computations (38.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-tanu: 12.0ms (65.6% of total)

ival-mult: 4.0ms (21.9% of total)

ival-pi: 2.0ms (10.9% of total)

ival-true: 1.0ms (5.5% of total)

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

preprocess15.0ms (0.6%)

Memory

5.4MiB live, 5.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	15	11
2	30	9
3	49	9
4	74	9
5	93	9
6	107	9
7	112	9
8	118	9
9	118	9
0	4	4
0	7	4
1	8	4
0	8	4

Stop Event

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

Calls

Call 1

Inputs
(tan.f64 (*.f64 (PI.f64) x))

Outputs
(tan.f64 (*.f64 (PI.f64) x))
(tan.f64 (*.f64 x (PI.f64)))

Symmetry

(negabs x)

Compiler

Compiled 4 to 4 computations (0% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.2%	(tan.f64 (*.f64 (PI.f64) x))

Compiler

Compiled 4 to 4 computations (0% saved)

simplify2.0ms (0.1%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(PI.f64)
cost-diff	0	(*.f64 (PI.f64) x)
cost-diff	0	(tan.f64 (*.f64 (PI.f64) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	9
0	7	9
1	8	9
0	8	9

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(tan.f64 (*.f64 (PI.f64) x))
(*.f64 (PI.f64) x)
(PI.f64)
x

Outputs
(tan.f64 (*.f64 (PI.f64) x))
(tan.f64 (*.f64 x (PI.f64)))
(*.f64 (PI.f64) x)
(*.f64 x (PI.f64))
(PI.f64)
x

localize20.0ms (0.8%)

Memory

6.4MiB live, 6.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(PI.f64)
accuracy	0.2421875	(*.f64 (PI.f64) x)
accuracy	31.124372607441487	(tan.f64 (*.f64 (PI.f64) x))

Samples

15.0ms

256×

valid

Compiler

Compiled 11 to 6 computations (45.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-tanu: 6.0ms (67.5% of total)

ival-mult: 2.0ms (22.5% of total)

ival-pi: 1.0ms (11.3% of total)

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

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

series27.0ms (1.1%)

Memory

-85.8MiB live, 1.2MiB allocated

Counts

3 → 5

Calls

Call 1

Inputs
(tan.f64 (*.f64 (PI.f64) x))
(*.f64 (PI.f64) x)
(PI.f64)

Outputs
(* x (PI))
(* x (+ (PI) (* (pow x 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))
(* x (+ (PI) (* (pow x 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(* x (+ (PI) (* (pow x 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow x 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(/ (sin (* x (PI))) (cos (* x (PI))))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	((tan (* (PI) x)) (* (PI) x) (PI))
1.0ms	x	@	inf	((tan (* (PI) x)) (* (PI) x) (PI))
1.0ms	x	@	-inf	((tan (* (PI) x)) (* (PI) x) (PI))

simplify196.0ms (7.8%)

Memory

62.1MiB live, 62.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	177
1	146	165
2	467	139
3	2404	121
0	8245	110

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 5

Calls

Call 1

Inputs
(* x (PI))
(* x (+ (PI) (* (pow x 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))
(* x (+ (PI) (* (pow x 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(* x (+ (PI) (* (pow x 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow x 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(/ (sin (* x (PI))) (cos (* x (PI))))

Outputs
(* x (PI))
(*.f64 (PI.f64) x)
(* x (+ (PI) (* (pow x 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))
(.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 x x) (PI.f64)) x)
(* x (+ (PI) (* (pow x 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64))) (.f64 x x))) (*.f64 x x) (PI.f64)) x)
(* x (+ (PI) (* (pow x 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow x 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64))) (PI.f64))) (PI.f64) (fma.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal 1/840 binary64) (.f64 (.f64 #s(literal -1/72 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (PI.f64) #s(literal 4 binary64))))) (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)))) (.f64 x x))) (*.f64 x x) (PI.f64)) x)
(/ (sin (* x (PI))) (cos (* x (PI))))
(/.f64 (sin.f64 (.f64 (PI.f64) x)) (cos.f64 (.f64 (PI.f64) x)))

rewrite56.0ms (2.2%)

Memory

12.6MiB live, 12.6MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	7	8
1	26	8
2	131	8
3	848	4
4	6184	4
5	7163	4
0	8130	4

Stop Event

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

Counts

3 → 73

Calls

Call 1

Inputs
(tan.f64 (*.f64 (PI.f64) x))
(*.f64 (PI.f64) x)
(PI.f64)

Outputs
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (cos.f64 x))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (cos.f64 x))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 x))) (pow.f64 (cos.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 x) #s(literal -1 binary64))) (pow.f64 (cos.f64 x) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 1/2 binary64))) (pow.f64 (tan.f64 x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal -1/2 binary64)) (PI.f64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 x) #s(literal -1 binary64))))
(*.f64 (pow.f64 (tan.f64 x) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (tan.f64 x) #s(literal 1/2 binary64)) (PI.f64)))
(*.f64 (pow.f64 (tan.f64 x) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (tan.f64 x) #s(literal 1/2 binary64)) (pow.f64 (tan.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cos.f64 x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 x) #s(literal -1 binary64))))
(*.f64 (tan.f64 x) #s(literal -1 binary64))
(*.f64 (tan.f64 x) (PI.f64))
(*.f64 #s(literal -1 binary64) (tan.f64 x))
(*.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) (neg.f64 (sin.f64 x)))
(*.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) (sin.f64 x))
(*.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) #s(literal -1 binary64)))
(*.f64 (PI.f64) (tan.f64 x))
(*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (tan.f64 x) (PI.f64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 x))) (cos.f64 x))
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 x) #s(literal -1 binary64))) (cos.f64 x))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal -1 binary64))) (sin.f64 x))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (pow.f64 (cos.f64 x) #s(literal -1 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (sin.f64 x))
(/.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (tan.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) (*.f64 #s(literal 0 binary64) (tan.f64 x)))))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (.f64 (cos.f64 x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(/.f64 (.f64 (PI.f64) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (.f64 (PI.f64) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (.f64 (cos.f64 x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (PI.f64)) (.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))
(/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (PI.f64)) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal -1 binary64))) (cos.f64 x)) (.f64 (cos.f64 x) (pow.f64 (tan.f64 x) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 x) #s(literal -1 binary64))) (.f64 (cos.f64 x) (pow.f64 (cos.f64 x) #s(literal -1 binary64)))) (pow.f64 (tan.f64 x) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 x) (sin.f64 x))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (*.f64 (cos.f64 x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(/.f64 (tan.f64 x) #s(literal -1 binary64))
(/.f64 (tan.f64 x) (PI.f64))
(/.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal -1 binary64)))
(/.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(/.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
(/.f64 (PI.f64) (pow.f64 (tan.f64 x) #s(literal -1 binary64)))
(/.f64 (sin.f64 x) (cos.f64 x))
(neg.f64 (tan.f64 x))
(fma.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 0 binary64) (tan.f64 x))
(tan.f64 x)
(-.f64 #s(literal 0 binary64) (tan.f64 x))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (tan.f64 x))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (tan.f64 x))) (PI.f64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (tan.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) (PI.f64)))
(exp.f64 (log.f64 (tan.f64 x)))
(+.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 0 binary64)) (tan.f64 x))
(+.f64 #s(literal 0 binary64) (tan.f64 x))
(*.f64 x (PI.f64))
(*.f64 (PI.f64) x)
x
(PI.f64)
#s(literal 1 binary64)

eval49.0ms (1.9%)

Memory: -74.7MiB live, 6.7MiB allocated
Compiler: Compiled 798 to 199 computations (75.1% saved)

prune8.0ms (0.3%)

Memory

6.4MiB live, 6.4MiB allocated

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	68	10	78
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	68	11	79

Accuracy

51.2%

Counts

79 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	4.1%	(pow.f64 (tan.f64 x) (PI.f64))
▶	9.6%	(/.f64 (tan.f64 x) (PI.f64))
	50.1%	(/.f64 (PI.f64) (pow.f64 (tan.f64 x) #s(literal -1 binary64)))
	8.7%	(*.f64 (pow.f64 (tan.f64 x) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (tan.f64 x) #s(literal 1/2 binary64)) (PI.f64)))
	8.8%	(*.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal -1/2 binary64)) (PI.f64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 x) #s(literal -1 binary64))))
✓	51.2%	(tan.f64 (*.f64 (PI.f64) x))
	10.4%	(tan.f64 x)
▶	4.1%	(exp.f64 (*.f64 (log.f64 (tan.f64 x)) (PI.f64)))
▶	51.2%	#s(approx (tan (* (PI) x)) (/.f64 (sin.f64 (.f64 (PI.f64) x)) (cos.f64 (.f64 (PI.f64) x))))
	49.7%	#s(approx (tan (* (PI) x)) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 x x) (PI.f64)) x))
▶	49.6%	#s(approx (tan (* (PI) x)) (*.f64 (PI.f64) x))

Compiler

Compiled 180 to 144 computations (20% saved)

simplify4.0ms (0.2%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(tan.f64 x)
cost-diff	0	(log.f64 (tan.f64 x))
cost-diff	0	(*.f64 (log.f64 (tan.f64 x)) (PI.f64))
cost-diff	2	(exp.f64 (*.f64 (log.f64 (tan.f64 x)) (PI.f64)))
cost-diff	0	(PI.f64)
cost-diff	0	(tan.f64 x)
cost-diff	0	(pow.f64 (tan.f64 x) (PI.f64))
cost-diff	0	(PI.f64)
cost-diff	0	(tan.f64 x)
cost-diff	0	(/.f64 (tan.f64 x) (PI.f64))
cost-diff	0	(PI.f64)
cost-diff	0	(*.f64 (PI.f64) x)
cost-diff	0	#s(approx (tan (* (PI) x)) (*.f64 (PI.f64) x))
cost-diff	0	(*.f64 (PI.f64) x)
cost-diff	0	(sin.f64 (*.f64 (PI.f64) x))
cost-diff	0	(/.f64 (sin.f64 (.f64 (PI.f64) x)) (cos.f64 (.f64 (PI.f64) x)))
cost-diff	0	#s(approx (tan (* (PI) x)) (/.f64 (sin.f64 (.f64 (PI.f64) x)) (cos.f64 (.f64 (PI.f64) x))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	83
0	28	81
1	32	81
2	34	81
0	34	81

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (tan (* (PI) x)) (/.f64 (sin.f64 (.f64 (PI.f64) x)) (cos.f64 (.f64 (PI.f64) x))))
(/.f64 (sin.f64 (.f64 (PI.f64) x)) (cos.f64 (.f64 (PI.f64) x)))
(sin.f64 (*.f64 (PI.f64) x))
(*.f64 (PI.f64) x)
(PI.f64)
x
(cos.f64 (*.f64 (PI.f64) x))
#s(approx (tan (* (PI) x)) (*.f64 (PI.f64) x))
(*.f64 (PI.f64) x)
(PI.f64)
x
(/.f64 (tan.f64 x) (PI.f64))
(tan.f64 x)
x
(PI.f64)
(pow.f64 (tan.f64 x) (PI.f64))
(tan.f64 x)
x
(PI.f64)
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) (PI.f64)))
(*.f64 (log.f64 (tan.f64 x)) (PI.f64))
(log.f64 (tan.f64 x))
(tan.f64 x)
x
(PI.f64)

Outputs
#s(approx (tan (* (PI) x)) (/.f64 (sin.f64 (.f64 (PI.f64) x)) (cos.f64 (.f64 (PI.f64) x))))
(/.f64 (sin.f64 (.f64 (PI.f64) x)) (cos.f64 (.f64 (PI.f64) x)))
(sin.f64 (*.f64 (PI.f64) x))
(*.f64 (PI.f64) x)
(PI.f64)
x
(cos.f64 (*.f64 (PI.f64) x))
#s(approx (tan (* (PI) x)) (*.f64 (PI.f64) x))
(*.f64 (PI.f64) x)
(PI.f64)
x
(/.f64 (tan.f64 x) (PI.f64))
(tan.f64 x)
x
(PI.f64)
(pow.f64 (tan.f64 x) (PI.f64))
(tan.f64 x)
x
(PI.f64)
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) (PI.f64)))
(pow.f64 (tan.f64 x) (PI.f64))
(*.f64 (log.f64 (tan.f64 x)) (PI.f64))
(log.f64 (tan.f64 x))
(tan.f64 x)
x
(PI.f64)

localize68.0ms (2.7%)

Memory

20.9MiB live, 20.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.16647007009676493	(log.f64 (tan.f64 x))
accuracy	0.25228500976844204	(*.f64 (log.f64 (tan.f64 x)) (PI.f64))
accuracy	0.9963297441547969	(exp.f64 (*.f64 (log.f64 (tan.f64 x)) (PI.f64)))
accuracy	15.741804250130041	(PI.f64)
accuracy	0.0	(tan.f64 x)
accuracy	1.0851940093957695	(pow.f64 (tan.f64 x) (PI.f64))
accuracy	15.741804250130041	(PI.f64)
accuracy	0.0	(tan.f64 x)
accuracy	0.1875	(/.f64 (tan.f64 x) (PI.f64))
accuracy	15.741804250130041	(PI.f64)
accuracy	0.1796875	(*.f64 (PI.f64) x)
accuracy	15.741804250130041	(PI.f64)
accuracy	16.24683354435079	#s(approx (tan (* (PI) x)) (*.f64 (PI.f64) x))
accuracy	0.1796875	(*.f64 (PI.f64) x)
accuracy	14.124665114775071	(cos.f64 (*.f64 (PI.f64) x))
accuracy	15.499324891839853	(sin.f64 (*.f64 (PI.f64) x))
accuracy	15.741804250130041	(PI.f64)

Samples

38.0ms	191×	0	valid
17.0ms	65×	0	invalid

Compiler

Compiled 71 to 15 computations (78.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-tanu: 7.0ms (16.4% of total)

ival-pow: 7.0ms (16.4% of total)

ival-cosu: 5.0ms (11.7% of total)

ival-tan: 5.0ms (11.7% of total)

ival-sinu: 5.0ms (11.7% of total)

ival-div: 3.0ms (7% of total)

ival-exp: 3.0ms (7% of total)

ival-mult: 3.0ms (7% of total)

ival-log: 3.0ms (7% of total)

ival-pi: 1.0ms (2.3% of total)

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

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

series55.0ms (2.2%)

Memory

18.3MiB live, 18.3MiB allocated

Counts

13 → 39

Calls

Call 1

Inputs
#s(approx (tan (* (PI) x)) (/.f64 (sin.f64 (.f64 (PI.f64) x)) (cos.f64 (.f64 (PI.f64) x))))
(/.f64 (sin.f64 (.f64 (PI.f64) x)) (cos.f64 (.f64 (PI.f64) x)))
(sin.f64 (*.f64 (PI.f64) x))
(*.f64 (PI.f64) x)
#s(approx (tan (* (PI) x)) (*.f64 (PI.f64) x))
(PI.f64)
(/.f64 (tan.f64 x) (PI.f64))
(tan.f64 x)
(pow.f64 (tan.f64 x) (PI.f64))
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) (PI.f64)))
(*.f64 (log.f64 (tan.f64 x)) (PI.f64))
(log.f64 (tan.f64 x))
(cos.f64 (*.f64 (PI.f64) x))

Outputs
(* x (PI))
(* x (+ (PI) (* (pow x 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))
(* x (+ (PI) (* (pow x 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(* x (+ (PI) (* (pow x 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow x 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))
(/ x (PI))
(* x (+ (* 1/3 (/ (pow x 2) (PI))) (/ 1 (PI))))
(* x (+ (* (pow x 2) (+ (* 2/15 (/ (pow x 2) (PI))) (* 1/3 (/ 1 (PI))))) (/ 1 (PI))))
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/315 (/ (pow x 2) (PI))) (* 2/15 (/ 1 (PI))))) (* 1/3 (/ 1 (PI))))) (/ 1 (PI))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(pow x (PI))
(+ (* 1/3 (* (pow x 2) (* (PI) (pow x (PI))))) (pow x (PI)))
(+ (* (pow x 2) (+ (* 1/3 (* (PI) (pow x (PI)))) (* (pow x 2) (* (+ (* 1/18 (pow (PI) 2)) (* 7/90 (PI))) (pow x (PI)))))) (pow x (PI)))
(+ (* (pow x 2) (+ (* 1/3 (* (PI) (pow x (PI)))) (* (pow x 2) (+ (* (+ (* 1/18 (pow (PI) 2)) (* 7/90 (PI))) (pow x (PI))) (* (pow x 2) (* (+ (* 1/162 (pow (PI) 3)) (+ (* 62/2835 (PI)) (* 7/270 (pow (PI) 2)))) (pow x (PI)))))))) (pow x (PI)))
(* (PI) (log x))
(+ (* 1/3 (* (pow x 2) (PI))) (* (PI) (log x)))
(+ (* (PI) (log x)) (* (pow x 2) (+ (* 7/90 (* (pow x 2) (PI))) (* 1/3 (PI)))))
(+ (* (PI) (log x)) (* (pow x 2) (+ (* 1/3 (PI)) (* (pow x 2) (+ (* 62/2835 (* (pow x 2) (PI))) (* 7/90 (PI)))))))
(log x)
(+ (log x) (* 1/3 (pow x 2)))
(+ (log x) (* (pow x 2) (+ 1/3 (* 7/90 (pow x 2)))))
(+ (log x) (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 7/90 (* 62/2835 (pow x 2)))))))
1
(+ 1 (* -1/2 (* (pow x 2) (pow (PI) 2))))
(+ 1 (* (pow x 2) (+ (* -1/2 (pow (PI) 2)) (* 1/24 (* (pow x 2) (pow (PI) 4))))))
(+ 1 (* (pow x 2) (+ (* -1/2 (pow (PI) 2)) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (pow (PI) 6))) (* 1/24 (pow (PI) 4)))))))
(/ (sin (* x (PI))) (cos (* x (PI))))
(sin (* x (PI)))
(/ (sin x) (* (PI) (cos x)))
(/ (sin x) (cos x))
(pow (/ (sin x) (cos x)) (PI))
(* (PI) (log (/ (sin x) (cos x))))
(log (/ (sin x) (cos x)))
(cos (* x (PI)))

Calls

3 calls:

Time	Variable		Point	Expression
29.0ms	x	@	inf	((tan (* (PI) x)) (/ (sin (* (PI) x)) (cos (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (tan (* (PI) x)) (PI) (/ (tan x) (PI)) (tan x) (pow (tan x) (PI)) (exp (* (log (tan x)) (PI))) (* (log (tan x)) (PI)) (log (tan x)) (cos (* (PI) x)))
22.0ms	x	@	-inf	((tan (* (PI) x)) (/ (sin (* (PI) x)) (cos (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (tan (* (PI) x)) (PI) (/ (tan x) (PI)) (tan x) (pow (tan x) (PI)) (exp (* (log (tan x)) (PI))) (* (log (tan x)) (PI)) (log (tan x)) (cos (* (PI) x)))
4.0ms	x	@	0	((tan (* (PI) x)) (/ (sin (* (PI) x)) (cos (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (tan (* (PI) x)) (PI) (/ (tan x) (PI)) (tan x) (pow (tan x) (PI)) (exp (* (log (tan x)) (PI))) (* (log (tan x)) (PI)) (log (tan x)) (cos (* (PI) x)))

Time

Variable

Point

Expression

29.0ms

inf

((tan (* (PI) x)) (/ (sin (* (PI) x)) (cos (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (tan (* (PI) x)) (PI) (/ (tan x) (PI)) (tan x) (pow (tan x) (PI)) (exp (* (log (tan x)) (PI))) (* (log (tan x)) (PI)) (log (tan x)) (cos (* (PI) x)))

22.0ms

-inf

((tan (* (PI) x)) (/ (sin (* (PI) x)) (cos (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (tan (* (PI) x)) (PI) (/ (tan x) (PI)) (tan x) (pow (tan x) (PI)) (exp (* (log (tan x)) (PI))) (* (log (tan x)) (PI)) (log (tan x)) (cos (* (PI) x)))

4.0ms

((tan (* (PI) x)) (/ (sin (* (PI) x)) (cos (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (tan (* (PI) x)) (PI) (/ (tan x) (PI)) (tan x) (pow (tan x) (PI)) (exp (* (log (tan x)) (PI))) (* (log (tan x)) (PI)) (log (tan x)) (cos (* (PI) x)))

simplify195.0ms (7.8%)

Memory

-25.0MiB live, 49.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	201	679
1	592	653
2	1942	609
3	4252	599
4	6485	597
0	8179	540

Stop Event

1×	iter limit
1×	node limit

Counts

39 → 38

Calls

Call 1

Inputs
(* x (PI))
(* x (+ (PI) (* (pow x 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))
(* x (+ (PI) (* (pow x 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(* x (+ (PI) (* (pow x 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow x 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))
(/ x (PI))
(* x (+ (* 1/3 (/ (pow x 2) (PI))) (/ 1 (PI))))
(* x (+ (* (pow x 2) (+ (* 2/15 (/ (pow x 2) (PI))) (* 1/3 (/ 1 (PI))))) (/ 1 (PI))))
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/315 (/ (pow x 2) (PI))) (* 2/15 (/ 1 (PI))))) (* 1/3 (/ 1 (PI))))) (/ 1 (PI))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(pow x (PI))
(+ (* 1/3 (* (pow x 2) (* (PI) (pow x (PI))))) (pow x (PI)))
(+ (* (pow x 2) (+ (* 1/3 (* (PI) (pow x (PI)))) (* (pow x 2) (* (+ (* 1/18 (pow (PI) 2)) (* 7/90 (PI))) (pow x (PI)))))) (pow x (PI)))
(+ (* (pow x 2) (+ (* 1/3 (* (PI) (pow x (PI)))) (* (pow x 2) (+ (* (+ (* 1/18 (pow (PI) 2)) (* 7/90 (PI))) (pow x (PI))) (* (pow x 2) (* (+ (* 1/162 (pow (PI) 3)) (+ (* 62/2835 (PI)) (* 7/270 (pow (PI) 2)))) (pow x (PI)))))))) (pow x (PI)))
(* (PI) (log x))
(+ (* 1/3 (* (pow x 2) (PI))) (* (PI) (log x)))
(+ (* (PI) (log x)) (* (pow x 2) (+ (* 7/90 (* (pow x 2) (PI))) (* 1/3 (PI)))))
(+ (* (PI) (log x)) (* (pow x 2) (+ (* 1/3 (PI)) (* (pow x 2) (+ (* 62/2835 (* (pow x 2) (PI))) (* 7/90 (PI)))))))
(log x)
(+ (log x) (* 1/3 (pow x 2)))
(+ (log x) (* (pow x 2) (+ 1/3 (* 7/90 (pow x 2)))))
(+ (log x) (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 7/90 (* 62/2835 (pow x 2)))))))
1
(+ 1 (* -1/2 (* (pow x 2) (pow (PI) 2))))
(+ 1 (* (pow x 2) (+ (* -1/2 (pow (PI) 2)) (* 1/24 (* (pow x 2) (pow (PI) 4))))))
(+ 1 (* (pow x 2) (+ (* -1/2 (pow (PI) 2)) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (pow (PI) 6))) (* 1/24 (pow (PI) 4)))))))
(/ (sin (* x (PI))) (cos (* x (PI))))
(sin (* x (PI)))
(/ (sin x) (* (PI) (cos x)))
(/ (sin x) (cos x))
(pow (/ (sin x) (cos x)) (PI))
(* (PI) (log (/ (sin x) (cos x))))
(log (/ (sin x) (cos x)))
(cos (* x (PI)))

Outputs
(* x (PI))
(*.f64 x (PI.f64))
(* x (+ (PI) (* (pow x 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))
(.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 x x) (PI.f64)) x)
(* x (+ (PI) (* (pow x 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (.f64 (PI.f64) (PI.f64)) (.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64))) (.f64 x x))) (*.f64 x (PI.f64)))
(* x (+ (PI) (* (pow x 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow x 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal -1/3 binary64) (.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/30 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal 1/840 binary64) (.f64 (.f64 #s(literal -1/24 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (pow.f64 (PI.f64) #s(literal 4 binary64))))) (.f64 x x) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (.f64 (PI.f64) (PI.f64)) (.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)))) (.f64 x x))) (.f64 x x) (PI.f64)) x)
(* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))
(.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) x)
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/120 binary64)) x) x (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal -1/6 binary64))) (.f64 x (PI.f64)))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 #s(literal -1/5040 binary64) (.f64 x x)) (pow.f64 (PI.f64) #s(literal 7 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/120 binary64))) (.f64 x x) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal -1/6 binary64))) (.f64 x (PI.f64)))
(/ x (PI))
(/.f64 x (PI.f64))
(* x (+ (* 1/3 (/ (pow x 2) (PI))) (/ 1 (PI))))
(.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 1 binary64)) (PI.f64)) x)
(* x (+ (* (pow x 2) (+ (* 2/15 (/ (pow x 2) (PI))) (* 1/3 (/ 1 (PI))))) (/ 1 (PI))))
(.f64 (/.f64 x (PI.f64)) (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/315 (/ (pow x 2) (PI))) (* 2/15 (/ 1 (PI))))) (* 1/3 (/ 1 (PI))))) (/ 1 (PI))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (PI.f64)) #s(literal 17/315 binary64) (/.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (PI.f64))) (/.f64 x (PI.f64)))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x)
(pow x (PI))
(pow.f64 x (PI.f64))
(+ (* 1/3 (* (pow x 2) (* (PI) (pow x (PI))))) (pow x (PI)))
(.f64 (fma.f64 (.f64 (*.f64 #s(literal 1/3 binary64) (PI.f64)) x) x #s(literal 1 binary64)) (pow.f64 x (PI.f64)))
(+ (* (pow x 2) (+ (* 1/3 (* (PI) (pow x (PI)))) (* (pow x 2) (* (+ (* 1/18 (pow (PI) 2)) (* 7/90 (PI))) (pow x (PI)))))) (pow x (PI)))
(fma.f64 (.f64 (pow.f64 x (PI.f64)) (.f64 x x)) (fma.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/18 binary64) (PI.f64) #s(literal 7/90 binary64))) (.f64 x x) (*.f64 #s(literal 1/3 binary64) (PI.f64))) (pow.f64 x (PI.f64)))
(+ (* (pow x 2) (+ (* 1/3 (* (PI) (pow x (PI)))) (* (pow x 2) (+ (* (+ (* 1/18 (pow (PI) 2)) (* 7/90 (PI))) (pow x (PI))) (* (pow x 2) (* (+ (* 1/162 (pow (PI) 3)) (+ (* 62/2835 (PI)) (* 7/270 (pow (PI) 2)))) (pow x (PI)))))))) (pow x (PI)))
(fma.f64 (.f64 (pow.f64 x (PI.f64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal 7/270 binary64) (fma.f64 #s(literal 1/162 binary64) (.f64 (PI.f64) (PI.f64)) #s(literal 62/2835 binary64)))) (.f64 x x) (.f64 (PI.f64) (fma.f64 #s(literal 1/18 binary64) (PI.f64) #s(literal 7/90 binary64)))) (.f64 #s(literal 1/3 binary64) (PI.f64)))) (.f64 x x) (pow.f64 x (PI.f64)))
(* (PI) (log x))
(*.f64 (log.f64 x) (PI.f64))
(+ (* 1/3 (* (pow x 2) (PI))) (* (PI) (log x)))
(.f64 (PI.f64) (fma.f64 #s(literal 1/3 binary64) (.f64 x x) (log.f64 x)))
(+ (* (PI) (log x)) (* (pow x 2) (+ (* 7/90 (* (pow x 2) (PI))) (* 1/3 (PI)))))
(.f64 (PI.f64) (fma.f64 (.f64 (fma.f64 #s(literal 7/90 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x (log.f64 x)))
(+ (* (PI) (log x)) (* (pow x 2) (+ (* 1/3 (PI)) (* (pow x 2) (+ (* 62/2835 (* (pow x 2) (PI))) (* 7/90 (PI)))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (PI.f64) (fma.f64 #s(literal 62/2835 binary64) (.f64 x x) #s(literal 7/90 binary64))) (.f64 (PI.f64) (fma.f64 #s(literal 1/3 binary64) (.f64 x x) (log.f64 x))))
(log x)
(log.f64 x)
(+ (log x) (* 1/3 (pow x 2)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) (log.f64 x))
(+ (log x) (* (pow x 2) (+ 1/3 (* 7/90 (pow x 2)))))
(fma.f64 (.f64 (fma.f64 #s(literal 7/90 binary64) (.f64 x x) #s(literal 1/3 binary64)) x) x (log.f64 x))
(+ (log x) (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 7/90 (* 62/2835 (pow x 2)))))))
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 62/2835 binary64) (.f64 x x) #s(literal 7/90 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x (log.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (* (pow x 2) (pow (PI) 2))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ (* -1/2 (pow (PI) 2)) (* 1/24 (* (pow x 2) (pow (PI) 4))))))
(fma.f64 (fma.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/24 binary64)) x) x (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/2 binary64))) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ (* -1/2 (pow (PI) 2)) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (pow (PI) 6))) (* 1/24 (pow (PI) 4)))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal -1/720 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (.f64 x x) (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/24 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)))
(/ (sin (* x (PI))) (cos (* x (PI))))
(/.f64 (sin.f64 (.f64 x (PI.f64))) (cos.f64 (.f64 x (PI.f64))))
(sin (* x (PI)))
(sin.f64 (*.f64 x (PI.f64)))
(/ (sin x) (* (PI) (cos x)))
(/.f64 (/.f64 (sin.f64 x) (PI.f64)) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(pow (/ (sin x) (cos x)) (PI))
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (PI.f64))
(* (PI) (log (/ (sin x) (cos x))))
(*.f64 (log.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (PI.f64))
(log (/ (sin x) (cos x)))
(log.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(cos (* x (PI)))
(cos.f64 (*.f64 x (PI.f64)))

rewrite151.0ms (6%)

Memory

61.2MiB live, 61.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	67
0	28	55
1	69	55
2	329	55
3	2346	55
0	9239	55

Stop Event

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

Counts

13 → 686

Calls

Call 1

Inputs
#s(approx (tan (* (PI) x)) (/.f64 (sin.f64 (.f64 (PI.f64) x)) (cos.f64 (.f64 (PI.f64) x))))
(/.f64 (sin.f64 (.f64 (PI.f64) x)) (cos.f64 (.f64 (PI.f64) x)))
(sin.f64 (*.f64 (PI.f64) x))
(*.f64 (PI.f64) x)
#s(approx (tan (* (PI) x)) (*.f64 (PI.f64) x))
(PI.f64)
(/.f64 (tan.f64 x) (PI.f64))
(tan.f64 x)
(pow.f64 (tan.f64 x) (PI.f64))
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) (PI.f64)))
(*.f64 (log.f64 (tan.f64 x)) (PI.f64))
(log.f64 (tan.f64 x))
(cos.f64 (*.f64 (PI.f64) x))

Outputs
#s(approx (tan (* (PI) x)) (tan.f64 (*.f64 (PI.f64) x)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 (.f64 (PI.f64) x)))) (/.f64 #s(literal -1 binary64) (cos.f64 (.f64 (PI.f64) x))))
(.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) x)) #s(literal 1/2 binary64)) (pow.f64 (tan.f64 (*.f64 (PI.f64) x)) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (.f64 (PI.f64) x))) (neg.f64 (sin.f64 (*.f64 (PI.f64) x))))
(.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 (.f64 (PI.f64) x))))
(.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) x)) #s(literal -1 binary64)) (pow.f64 (sin.f64 (*.f64 (PI.f64) x)) #s(literal 1 binary64)))
(.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) x)) #s(literal -1 binary64)) (sin.f64 (*.f64 (PI.f64) x)))
(.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) x))) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (PI.f64) x))))
(.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) x)))
(.f64 (sin.f64 (.f64 (PI.f64) x)) (pow.f64 (cos.f64 (*.f64 (PI.f64) x)) #s(literal -1 binary64)))
(.f64 (tan.f64 (.f64 (PI.f64) x)) #s(literal 1 binary64))
(pow.f64 (exp.f64 (neg.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) x))))) #s(literal -1 binary64))
(pow.f64 (.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) x)) #s(literal -1 binary64)) (pow.f64 (tan.f64 (*.f64 (PI.f64) x)) #s(literal -1 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (tan.f64 (*.f64 (PI.f64) x)) #s(literal 1 binary64))
(/.f64 (/.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) x))) #s(literal -1 binary64)) (cos.f64 (.f64 (PI.f64) x)))
(/.f64 (.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) x))) #s(literal 1 binary64)) (neg.f64 (cos.f64 (*.f64 (PI.f64) x))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 (.f64 (PI.f64) x)))) (neg.f64 (cos.f64 (*.f64 (PI.f64) x))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 (PI.f64) x))))
(/.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) x)) #s(literal -1 binary64)) (pow.f64 (sin.f64 (.f64 (PI.f64) x)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) x))) (neg.f64 (cos.f64 (.f64 (PI.f64) x))))
(/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (*.f64 (PI.f64) x)) #s(literal -1 binary64)))
(/.f64 (sin.f64 (.f64 (PI.f64) x)) (cos.f64 (.f64 (PI.f64) x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 (*.f64 (PI.f64) x)) #s(literal -1 binary64))))
(neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 (.f64 (PI.f64) x)))))
(neg.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) x))))
(tan.f64 (*.f64 (PI.f64) x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (.f64 (PI.f64) x)))) (neg.f64 (tan.f64 (.f64 (PI.f64) x))))
(-.f64 #s(literal 0 binary64) (neg.f64 (tan.f64 (*.f64 (PI.f64) x))))
(exp.f64 (.f64 (neg.f64 (log.f64 (tan.f64 (.f64 (PI.f64) x)))) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 (.f64 (PI.f64) x))))
(.f64 #s(literal 1 binary64) (sin.f64 (.f64 (PI.f64) x)))
(.f64 (sin.f64 (.f64 (PI.f64) x)) #s(literal 1 binary64))
(neg.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) x))))
(sin.f64 (*.f64 (PI.f64) x))
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (*.f64 (PI.f64) x))))
(.f64 (.f64 (*.f64 (sqrt.f64 (PI.f64)) x) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(.f64 (.f64 (*.f64 (sqrt.f64 (PI.f64)) x) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 (sqrt.f64 (PI.f64)) x) #s(literal 1 binary64)) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) x) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) x) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(.f64 (.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (cbrt.f64 (PI.f64)))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) x)) (cbrt.f64 (PI.f64)))
(.f64 (.f64 (cbrt.f64 (PI.f64)) x) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(.f64 (.f64 (sqrt.f64 (PI.f64)) x) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) x) (cbrt.f64 (PI.f64)))
(.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) x)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) x))
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) x))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (PI.f64)) x)))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) x)))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) x))
(.f64 #s(literal 1 binary64) (.f64 (PI.f64) x))
(.f64 (.f64 (PI.f64) x) #s(literal 1 binary64))
(*.f64 (PI.f64) x)
(*.f64 x (PI.f64))
#s(approx (tan (* (PI) x)) (*.f64 (PI.f64) x))
(.f64 (fabs.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))))
(.f64 (fabs.f64 (.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (fabs.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))))
(*.f64 (fabs.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))))) (cbrt.f64 (PI.f64)))
(.f64 (fabs.f64 (.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 8 binary64)))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(.f64 (fabs.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (fabs.f64 (+.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))
(.f64 (fabs.f64 (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (fabs.f64 (fma.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))))
(*.f64 (fabs.f64 (neg.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (cbrt.f64 (PI.f64)))
(.f64 (fabs.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64))
(*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (fabs.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 7 binary64)))))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) (sqrt.f64 (PI.f64))))) (pow.f64 (PI.f64) #s(literal 1/12 binary64)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/6 binary64)))
(.f64 (sqrt.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 5 binary64)) #s(literal 1 binary64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 11/6 binary64))) (pow.f64 (PI.f64) #s(literal 1/12 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 7/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/8 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 11/4 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 17/6 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) #s(literal 1 binary64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) #s(literal 8 binary64)) (sqrt.f64 (PI.f64))))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) #s(literal 8 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (PI.f64)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 8 binary64)) #s(literal 1 binary64))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(.f64 (pow.f64 (E.f64) (.f64 #s(literal 2/3 binary64) (log.f64 (PI.f64)))) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 7 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 5 binary64))) (cbrt.f64 (.f64 (cbrt.f64 (PI.f64)) (PI.f64))))
(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (cbrt.f64 (PI.f64)))
(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 7/4 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (PI.f64))))
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(exp.f64 (.f64 (log.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (PI.f64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 x) (pow.f64 (PI.f64) #s(literal 3/4 binary64)))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 x) (pow.f64 (PI.f64) #s(literal 5/6 binary64)))) (pow.f64 (PI.f64) #s(literal 1/6 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 8 binary64))))) (cbrt.f64 (cbrt.f64 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 x) (cbrt.f64 (PI.f64)))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 x) (PI.f64))) #s(literal 1 binary64)))
(exp.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (log.f64 (tan.f64 x)) (log.f64 (sqrt.f64 (pow.f64 (tan.f64 x) (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 (tan.f64 x) (PI.f64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) (PI.f64)))
(.f64 (.f64 (*.f64 (sqrt.f64 (PI.f64)) (log.f64 (tan.f64 x))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(.f64 (.f64 (*.f64 (sqrt.f64 (PI.f64)) (log.f64 (tan.f64 x))) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 (sqrt.f64 (PI.f64)) (log.f64 (tan.f64 x))) #s(literal 1 binary64)) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (log.f64 (tan.f64 x))) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (log.f64 (tan.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(.f64 (.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (log.f64 (tan.f64 x))) #s(literal 1 binary64)) (cbrt.f64 (PI.f64)))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (log.f64 (tan.f64 x)))) (cbrt.f64 (PI.f64)))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (log.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (log.f64 (tan.f64 x))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (log.f64 (tan.f64 x))) (cbrt.f64 (PI.f64)))
(.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) (log.f64 (tan.f64 x)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (log.f64 (tan.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) (log.f64 (tan.f64 x))))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (PI.f64)) (log.f64 (tan.f64 x)))))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) (log.f64 (tan.f64 x)))))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (log.f64 (tan.f64 x))))
(.f64 #s(literal 1 binary64) (.f64 (log.f64 (tan.f64 x)) (PI.f64)))
(.f64 (.f64 (log.f64 (tan.f64 x)) (PI.f64)) #s(literal 1 binary64))
(*.f64 (log.f64 (tan.f64 x)) (PI.f64))
(*.f64 (PI.f64) (log.f64 (tan.f64 x)))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (tan.f64 x))))
(*.f64 #s(literal 1 binary64) (log.f64 (tan.f64 x)))
(*.f64 (log.f64 (tan.f64 x)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (log.f64 (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 (cos.f64 x)) #s(literal 2 binary64))) (log.f64 (*.f64 (sin.f64 x) (cos.f64 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (sin.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (log.f64 (sin.f64 x)) (log.f64 (cos.f64 x))))))
(neg.f64 (log.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(neg.f64 (neg.f64 (log.f64 (tan.f64 x))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (tan.f64 x))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (log.f64 (cos.f64 x)) (log.f64 (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (log.f64 (tan.f64 x)) #s(literal 0 binary64))
(fma.f64 (log.f64 (tan.f64 x)) #s(literal 1 binary64) #s(literal 0 binary64))
(-.f64 (log.f64 (neg.f64 (neg.f64 (sin.f64 x)))) (log.f64 (neg.f64 (neg.f64 (cos.f64 x)))))
(-.f64 (log.f64 (neg.f64 (neg.f64 (sin.f64 x)))) (log.f64 (cos.f64 x)))
(-.f64 (log.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64))) (log.f64 (neg.f64 (cos.f64 x))))
(-.f64 (log.f64 (neg.f64 (tan.f64 x))) (log.f64 #s(literal -1 binary64)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)))))
(-.f64 (log.f64 (neg.f64 (sin.f64 x))) (log.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))))
(-.f64 (log.f64 (neg.f64 (sin.f64 x))) (log.f64 (neg.f64 (cos.f64 x))))
(-.f64 (log.f64 (sin.f64 x)) (log.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x))))
(-.f64 (log.f64 (sin.f64 x)) (log.f64 (neg.f64 (neg.f64 (cos.f64 x)))))
(-.f64 (log.f64 (sin.f64 x)) (log.f64 (cos.f64 x)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (tan.f64 x))))
(-.f64 (log.f64 (tan.f64 x)) #s(literal 0 binary64))
(+.f64 (log.f64 (sqrt.f64 (tan.f64 x))) (log.f64 (sqrt.f64 (tan.f64 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (tan.f64 x))))
(+.f64 (neg.f64 (log.f64 (cos.f64 x))) (log.f64 (sin.f64 x)))
(+.f64 (log.f64 (neg.f64 (sin.f64 x))) (log.f64 (pow.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64))))
(+.f64 (log.f64 (sin.f64 x)) (log.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(+.f64 (log.f64 (sin.f64 x)) (log.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(+.f64 (log.f64 (sin.f64 x)) (neg.f64 (log.f64 (cos.f64 x))))
(+.f64 #s(literal 0 binary64) (log.f64 (tan.f64 x)))
(+.f64 (log.f64 (tan.f64 x)) #s(literal 0 binary64))
(log.f64 (tan.f64 x))
(.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (.f64 (PI.f64) x))))
(.f64 #s(literal 1 binary64) (cos.f64 (.f64 (PI.f64) x)))
(.f64 (cos.f64 (.f64 (PI.f64) x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (cos.f64 (*.f64 (PI.f64) x)) #s(literal 1 binary64))
(/.f64 (neg.f64 (cos.f64 (*.f64 (PI.f64) x))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 (PI.f64) x)) #s(literal -1 binary64)))
(/.f64 (cos.f64 (*.f64 (PI.f64) x)) #s(literal 1 binary64))
(neg.f64 (neg.f64 (cos.f64 (*.f64 (PI.f64) x))))
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (*.f64 (PI.f64) x))))
(cos.f64 (*.f64 (PI.f64) x))
(exp.f64 (neg.f64 (.f64 (log.f64 (cos.f64 (.f64 (PI.f64) x))) #s(literal -1 binary64))))

eval221.0ms (8.8%)

Memory: -81.0MiB live, 125.0MiB allocated
Compiler: Compiled 22 810 to 3 655 computations (84% saved)

prune46.0ms (1.8%)

Memory

-16.0MiB live, 61.6MiB allocated

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	1 489	11	1 500
Fresh	2	3	5
Picked	3	2	5
Done	0	1	1
Total	1 494	17	1 511

Accuracy

91.0%

Counts

1 511 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	9.6%	(/.f64 (tan.f64 x) (PI.f64))
	50.1%	(/.f64 (PI.f64) (pow.f64 (tan.f64 x) #s(literal -1 binary64)))
	9.6%	(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (tan.f64 x)))
✓	51.2%	(tan.f64 (*.f64 (PI.f64) x))
	10.4%	(tan.f64 x)
	9.1%	#s(approx (/ (tan x) (PI)) (/.f64 x (PI.f64)))
	50.0%	#s(approx (tan (* (PI) x)) (pow.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
	51.2%	#s(approx (tan (* (PI) x)) (/.f64 (sin.f64 (.f64 (PI.f64) x)) (cos.f64 (.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 11/4 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)))) x))))
	51.2%	#s(approx (tan (* (PI) x)) (/.f64 (sin.f64 (.f64 (PI.f64) x)) (cos.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) x))))
	86.3%	#s(approx (tan (* (PI) x)) (/.f64 (sin.f64 (.f64 (PI.f64) x)) #s(approx (cos ( (PI) x)) (fma.f64 (fma.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/24 binary64)) x) x (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)))))
	90.4%	#s(approx (tan (* (PI) x)) (/.f64 (sin.f64 (.f64 (PI.f64) x)) #s(approx (cos ( (PI) x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal -1/720 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (.f64 x x) (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/24 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))))))
	71.9%	#s(approx (tan (* (PI) x)) (/.f64 (sin.f64 (.f64 (PI.f64) x)) #s(approx (cos ( (PI) x)) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)))))
	50.1%	#s(approx (tan (* (PI) x)) (/.f64 (sin.f64 (.f64 (PI.f64) x)) #s(approx (cos ( (PI) x)) #s(literal 1 binary64))))
	51.1%	#s(approx (tan (* (PI) x)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 (PI.f64) x)))))
	49.7%	#s(approx (tan (* (PI) x)) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 x x) (PI.f64)) x))
	49.3%	#s(approx (tan (* (PI) x)) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) x))
✓	49.6%	#s(approx (tan (* (PI) x)) (*.f64 (PI.f64) x))

Compiler

Compiled 549 to 297 computations (45.9% saved)

regimes16.0ms (0.6%)

Memory

10.8MiB live, 10.8MiB allocated

Counts

22 → 1

Calls

Call 1

Inputs
#s(approx (tan (* (PI) x)) (*.f64 (PI.f64) x))
#s(approx (/ (tan x) (PI)) (/.f64 x (PI.f64)))
(tan.f64 x)
(tan.f64 (*.f64 (PI.f64) x))
(/.f64 (tan.f64 x) (PI.f64))
#s(approx (tan (* (PI) x)) (/.f64 (sin.f64 (.f64 (PI.f64) x)) #s(approx (cos ( (PI) x)) #s(literal 1 binary64))))
#s(approx (tan (* (PI) x)) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 x x) (PI.f64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (tan.f64 x)))
#s(approx (tan (* (PI) x)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 (PI.f64) x)))))
#s(approx (tan (* (PI) x)) (/.f64 (sin.f64 (.f64 (PI.f64) x)) #s(approx (cos ( (PI) x)) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)))))
(pow.f64 (tan.f64 x) (PI.f64))
#s(approx (tan (* (PI) x)) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) x))
(/.f64 (PI.f64) (pow.f64 (tan.f64 x) #s(literal -1 binary64)))
#s(approx (tan (* (PI) x)) (/.f64 (sin.f64 (.f64 (PI.f64) x)) (cos.f64 (.f64 (PI.f64) x))))
#s(approx (tan (* (PI) x)) (/.f64 (sin.f64 (.f64 (PI.f64) x)) #s(approx (cos ( (PI) x)) (fma.f64 (fma.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/24 binary64)) x) x (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) (PI.f64)))
#s(approx (tan (* (PI) x)) (pow.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (tan.f64 x) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (tan.f64 x) #s(literal 1/2 binary64)) (PI.f64)))
#s(approx (tan (* (PI) x)) (/.f64 (sin.f64 (.f64 (PI.f64) x)) (cos.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) x))))
#s(approx (tan (* (PI) x)) (/.f64 (sin.f64 (.f64 (PI.f64) x)) #s(approx (cos ( (PI) x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal -1/720 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (.f64 x x) (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/24 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))))))
#s(approx (tan (* (PI) x)) (/.f64 (sin.f64 (.f64 (PI.f64) x)) (cos.f64 (.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 11/4 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)))) x))))
(*.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal -1/2 binary64)) (PI.f64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 x) #s(literal -1 binary64))))

Outputs

#s(approx (tan (* (PI) x)) (/.f64 (sin.f64 (*.f64 (PI.f64) x)) #s(approx (cos (* (PI) x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -1/720 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (*.f64 x x) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/24 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))))))

Calls

3 calls:

5.0ms	(*.f64 (PI.f64) x)
5.0ms	(tan.f64 (*.f64 (PI.f64) x))
5.0ms	x

Results

Accuracy	Segments	Branch
90.4%	1	`x`
90.4%	1	`(tan.f64 (*.f64 (PI.f64) x))`
90.4%	1	`(*.f64 (PI.f64) x)`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes14.0ms (0.6%)

Memory

9.9MiB live, 9.9MiB allocated

Counts

19 → 1

Calls

Call 1

Inputs
#s(approx (tan (* (PI) x)) (*.f64 (PI.f64) x))
#s(approx (/ (tan x) (PI)) (/.f64 x (PI.f64)))
(tan.f64 x)
(tan.f64 (*.f64 (PI.f64) x))
(/.f64 (tan.f64 x) (PI.f64))
#s(approx (tan (* (PI) x)) (/.f64 (sin.f64 (.f64 (PI.f64) x)) #s(approx (cos ( (PI) x)) #s(literal 1 binary64))))
#s(approx (tan (* (PI) x)) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 x x) (PI.f64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (tan.f64 x)))
#s(approx (tan (* (PI) x)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 (PI.f64) x)))))
#s(approx (tan (* (PI) x)) (/.f64 (sin.f64 (.f64 (PI.f64) x)) #s(approx (cos ( (PI) x)) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)))))
(pow.f64 (tan.f64 x) (PI.f64))
#s(approx (tan (* (PI) x)) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) x))
(/.f64 (PI.f64) (pow.f64 (tan.f64 x) #s(literal -1 binary64)))
#s(approx (tan (* (PI) x)) (/.f64 (sin.f64 (.f64 (PI.f64) x)) (cos.f64 (.f64 (PI.f64) x))))
#s(approx (tan (* (PI) x)) (/.f64 (sin.f64 (.f64 (PI.f64) x)) #s(approx (cos ( (PI) x)) (fma.f64 (fma.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/24 binary64)) x) x (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) (PI.f64)))
#s(approx (tan (* (PI) x)) (pow.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (tan.f64 x) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (tan.f64 x) #s(literal 1/2 binary64)) (PI.f64)))
#s(approx (tan (* (PI) x)) (/.f64 (sin.f64 (.f64 (PI.f64) x)) (cos.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) x))))

Outputs

#s(approx (tan (* (PI) x)) (/.f64 (sin.f64 (*.f64 (PI.f64) x)) #s(approx (cos (* (PI) x)) (fma.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/24 binary64)) x) x (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)))))

Calls

3 calls:

4.0ms	(*.f64 (PI.f64) x)
4.0ms	(tan.f64 (*.f64 (PI.f64) x))
4.0ms	x

Results

Accuracy	Segments	Branch
86.3%	1	`x`
86.3%	1	`(tan.f64 (*.f64 (PI.f64) x))`
86.3%	1	`(*.f64 (PI.f64) x)`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes11.0ms (0.4%)

Memory

8.3MiB live, 8.3MiB allocated

Counts

14 → 1

Calls

Call 1

Inputs
#s(approx (tan (* (PI) x)) (*.f64 (PI.f64) x))
#s(approx (/ (tan x) (PI)) (/.f64 x (PI.f64)))
(tan.f64 x)
(tan.f64 (*.f64 (PI.f64) x))
(/.f64 (tan.f64 x) (PI.f64))
#s(approx (tan (* (PI) x)) (/.f64 (sin.f64 (.f64 (PI.f64) x)) #s(approx (cos ( (PI) x)) #s(literal 1 binary64))))
#s(approx (tan (* (PI) x)) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 x x) (PI.f64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (tan.f64 x)))
#s(approx (tan (* (PI) x)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 (PI.f64) x)))))
#s(approx (tan (* (PI) x)) (/.f64 (sin.f64 (.f64 (PI.f64) x)) #s(approx (cos ( (PI) x)) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)))))
(pow.f64 (tan.f64 x) (PI.f64))
#s(approx (tan (* (PI) x)) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) x))
(/.f64 (PI.f64) (pow.f64 (tan.f64 x) #s(literal -1 binary64)))
#s(approx (tan (* (PI) x)) (/.f64 (sin.f64 (.f64 (PI.f64) x)) (cos.f64 (.f64 (PI.f64) x))))

Outputs
#s(approx (tan (* (PI) x)) (/.f64 (sin.f64 (.f64 (PI.f64) x)) #s(approx (cos ( (PI) x)) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)))))

Calls

3 calls:

3.0ms	(tan.f64 (*.f64 (PI.f64) x))
3.0ms	(*.f64 (PI.f64) x)
3.0ms	x

Results

Accuracy	Segments	Branch
71.9%	1	`(tan.f64 (*.f64 (PI.f64) x))`
71.9%	1	`x`
71.9%	1	`(*.f64 (PI.f64) x)`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes8.0ms (0.3%)

Memory

6.9MiB live, 6.9MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
#s(approx (tan (* (PI) x)) (*.f64 (PI.f64) x))
#s(approx (/ (tan x) (PI)) (/.f64 x (PI.f64)))
(tan.f64 x)
(tan.f64 (*.f64 (PI.f64) x))
(/.f64 (tan.f64 x) (PI.f64))
#s(approx (tan (* (PI) x)) (/.f64 (sin.f64 (.f64 (PI.f64) x)) #s(approx (cos ( (PI) x)) #s(literal 1 binary64))))
#s(approx (tan (* (PI) x)) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 x x) (PI.f64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (tan.f64 x)))
#s(approx (tan (* (PI) x)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 (PI.f64) x)))))

Outputs
(tan.f64 (*.f64 (PI.f64) x))

Calls

3 calls:

3.0ms	(tan.f64 (*.f64 (PI.f64) x))
3.0ms	(*.f64 (PI.f64) x)
3.0ms	x

Results

Accuracy	Segments	Branch
51.2%	1	`x`
51.2%	1	`(tan.f64 (*.f64 (PI.f64) x))`
51.2%	1	`(*.f64 (PI.f64) x)`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes5.0ms (0.2%)

Memory

5.1MiB live, 5.1MiB allocated

Accuracy

Total -25.9b remaining (-80.4%)

Threshold costs -25.9b (-80.4%)

Counts

3 → 1

Calls

Call 1

Inputs
#s(approx (tan (* (PI) x)) (*.f64 (PI.f64) x))
#s(approx (/ (tan x) (PI)) (/.f64 x (PI.f64)))
(tan.f64 x)

Outputs
#s(approx (tan (* (PI) x)) (*.f64 (PI.f64) x))

Calls

3 calls:

1.0ms	(tan.f64 (*.f64 (PI.f64) x))
1.0ms	(*.f64 (PI.f64) x)
1.0ms	x

Results

Accuracy	Segments	Branch
49.6%	1	`(tan.f64 (*.f64 (PI.f64) x))`
49.6%	1	`x`
49.6%	1	`(*.f64 (PI.f64) x)`

Compiler

Compiled 8 to 8 computations (0% saved)

simplify10.0ms (0.4%)

Memory

5.4MiB live, 5.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	114
1	43	114

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (tan (* (PI) x)) (/.f64 (sin.f64 (.f64 (PI.f64) x)) #s(approx (cos ( (PI) x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal -1/720 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (.f64 x x) (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/24 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))))))
#s(approx (tan (* (PI) x)) (/.f64 (sin.f64 (.f64 (PI.f64) x)) #s(approx (cos ( (PI) x)) (fma.f64 (fma.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/24 binary64)) x) x (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (tan (* (PI) x)) (/.f64 (sin.f64 (.f64 (PI.f64) x)) #s(approx (cos ( (PI) x)) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)))))
(tan.f64 (*.f64 (PI.f64) x))
#s(approx (tan (* (PI) x)) (*.f64 (PI.f64) x))

Outputs
#s(approx (tan (* (PI) x)) (/.f64 (sin.f64 (.f64 (PI.f64) x)) #s(approx (cos ( (PI) x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal -1/720 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (.f64 x x) (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/24 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))))))
#s(approx (tan (* (PI) x)) (/.f64 (sin.f64 (.f64 (PI.f64) x)) #s(approx (cos ( (PI) x)) (fma.f64 (fma.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/24 binary64)) x) x (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (tan (* (PI) x)) (/.f64 (sin.f64 (.f64 (PI.f64) x)) #s(approx (cos ( (PI) x)) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)))))
(tan.f64 (*.f64 (PI.f64) x))
#s(approx (tan (* (PI) x)) (*.f64 (PI.f64) x))

soundness484.0ms (19.3%)

Memory

7.2MiB live, 7.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	177
1	146	165
2	467	139
3	2404	121
0	8245	110
0	201	679
1	592	653
2	1942	609
3	4252	599
4	6485	597
0	8179	540

Stop Event

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

Compiler

Compiled 144 to 64 computations (55.6% saved)

preprocess100.0ms (4%)

Memory: -55.3MiB live, 23.9MiB allocated
Remove: (negabs x)
Compiler: Compiled 408 to 200 computations (51% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze70.0ms (2.8%)

sample608.0ms (24.3%)

explain64.0ms (2.5%)

preprocess15.0ms (0.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify2.0ms (0.1%)

localize20.0ms (0.8%)

series27.0ms (1.1%)

simplify196.0ms (7.8%)

rewrite56.0ms (2.2%)

eval49.0ms (1.9%)

prune8.0ms (0.3%)

simplify4.0ms (0.2%)

localize68.0ms (2.7%)

series55.0ms (2.2%)

simplify195.0ms (7.8%)

rewrite151.0ms (6%)

eval221.0ms (8.8%)

prune46.0ms (1.8%)

regimes16.0ms (0.6%)

regimes14.0ms (0.6%)

regimes11.0ms (0.4%)

regimes8.0ms (0.3%)

regimes5.0ms (0.2%)

simplify10.0ms (0.4%)

soundness484.0ms (19.3%)

preprocess100.0ms (4%)

end0.0ms (0%)

Profiling