Metrics for acos(1.0/x)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze9.0ms (0.8%)

Memory

0.9MiB live, 0.9MiB 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
50%	50%	50%	0%	0%	0%	0%	3
57.1%	50%	37.5%	0%	0%	12.5%	0%	4
72.7%	50%	18.7%	0%	0%	31.2%	0%	5
84.2%	50%	9.4%	0%	0%	40.6%	0%	6
91.4%	50%	4.7%	0%	0%	45.3%	0%	7
95.5%	50%	2.3%	0%	0%	47.6%	0%	8
97.7%	50%	1.2%	0%	0%	48.8%	0%	9
98.8%	50%	0.6%	0%	0%	49.4%	0%	10
99.4%	50%	0.3%	0%	0%	49.7%	0%	11
99.7%	50%	0.1%	0%	0%	49.8%	0%	12

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample597.0ms (54.9%)

Memory

11.2MiB live, 195.5MiB allocated

Samples

368.0ms	8 256×	0	valid
1.0ms	21×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 218.0ms

ival-acos: 74.0ms (34% of total)

ival-div: 74.0ms (34% of total)

ival-<=: 42.0ms (19.3% of total)

exact: 13.0ms (6% of total)

ival-and: 11.0ms (5% of total)

ival-assert: 3.0ms (1.4% of total)

Bogosity

explain48.0ms (4.4%)

Memory

-5.4MiB live, 20.8MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(/.f64 #s(literal 1 binary64) x)`
-	-	`#s(literal 1 binary64)`
-	-	`(acos.f64 (/.f64 #s(literal 1 binary64) x))`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

20.0ms

512×

valid

Compiler

Compiled 27 to 16 computations (40.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-acos: 4.0ms (41.4% of total)

ival-div: 4.0ms (41.4% of total)

exact: 0.0ms (0% of total)

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

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

preprocess15.0ms (1.4%)

Memory

-1.7MiB live, 5.9MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`sub-neg`
12×	`+-commutative`
6×	`*-commutative`
6×	`--rgt-identity`
6×	`associate-+l-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	15	9
2	24	9
3	31	9
4	37	9
5	46	9
6	56	9
7	59	9
0	4	4
0	6	4
1	8	4
0	8	4

Stop Event

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

Calls

Call 1

Inputs
(acos.f64 (/.f64 #s(literal 1 binary64) x))

Outputs
(acos.f64 (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 5 to 4 computations (20% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0.1%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(acos.f64 (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 5 to 4 computations (20% saved)

simplify3.0ms (0.3%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	(acos.f64 (/.f64 #s(literal 1 binary64) x))

Rules

2×	`lower-acos.f32`
2×	`lift-acos.f64`
2×	`lift-/.f64`
2×	`1-exp`
2×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	9
0	6	9
1	8	9
0	8	9

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(acos.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x

Outputs
(acos.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x

localize17.0ms (1.6%)

Memory

-2.0MiB live, 5.6MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	0	(acos.f64 (/.f64 #s(literal 1 binary64) x))

Samples

12.0ms

256×

valid

Compiler

Compiled 11 to 6 computations (45.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 3.0ms (51.2% of total)

ival-acos: 2.0ms (34.1% of total)

exact: 0.0ms (0% of total)

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

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

series1.0ms (0.1%)

Memory

0.4MiB live, 0.4MiB allocated

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (acos.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 #s(literal 1 binary64) x)>

Outputs
#<alt (acos (/ 1 x))>
#<alt (acos (/ 1 x))>
#<alt (acos (/ 1 x))>
#<alt (acos (/ 1 x))>
#<alt (acos (/ 1 x))>
#<alt (acos (/ 1 x))>
#<alt (acos (/ 1 x))>
#<alt (acos (/ 1 x))>
#<alt (acos (/ 1 x))>
#<alt (acos (/ 1 x))>
#<alt (acos (/ 1 x))>
#<alt (acos (/ 1 x))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(/ 1 x)
0.0ms	x	@	0	(/ 1 x)
0.0ms	x	@	0	(acos (/ 1 x))
0.0ms	x	@	-inf	(acos (/ 1 x))
0.0ms	x	@	inf	(acos (/ 1 x))

simplify3.0ms (0.3%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`lower-acos.f32`
2×	`1-exp`
2×	`lower-/.f32`
2×	`lower-/.f64`
2×	`lower-acos.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	84
1	6	84
0	6	84

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

Calls

Call 1

Inputs
(acos (/ 1 x))
(acos (/ 1 x))
(acos (/ 1 x))
(acos (/ 1 x))
(acos (/ 1 x))
(acos (/ 1 x))
(acos (/ 1 x))
(acos (/ 1 x))
(acos (/ 1 x))
(acos (/ 1 x))
(acos (/ 1 x))
(acos (/ 1 x))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)

Outputs
(acos (/ 1 x))
(acos.f64 (/.f64 #s(literal 1 binary64) x))
(acos (/ 1 x))
(acos.f64 (/.f64 #s(literal 1 binary64) x))
(acos (/ 1 x))
(acos.f64 (/.f64 #s(literal 1 binary64) x))
(acos (/ 1 x))
(acos.f64 (/.f64 #s(literal 1 binary64) x))
(acos (/ 1 x))
(acos.f64 (/.f64 #s(literal 1 binary64) x))
(acos (/ 1 x))
(acos.f64 (/.f64 #s(literal 1 binary64) x))
(acos (/ 1 x))
(acos.f64 (/.f64 #s(literal 1 binary64) x))
(acos (/ 1 x))
(acos.f64 (/.f64 #s(literal 1 binary64) x))
(acos (/ 1 x))
(acos.f64 (/.f64 #s(literal 1 binary64) x))
(acos (/ 1 x))
(acos.f64 (/.f64 #s(literal 1 binary64) x))
(acos (/ 1 x))
(acos.f64 (/.f64 #s(literal 1 binary64) x))
(acos (/ 1 x))
(acos.f64 (/.f64 #s(literal 1 binary64) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)

rewrite309.0ms (28.4%)

Memory

-15.8MiB live, 133.9MiB allocated

Rules

8 182×	`lower-fma.f64`
8 182×	`lower-fma.f32`
5 190×	`lower-*.f64`
5 190×	`lower-*.f32`
3 308×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
0	6	7
1	21	7
2	88	7
3	530	7
0	8405	7

Stop Event

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

Counts

2 → 249

Calls

Call 1

Inputs
(acos.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)

Outputs
(acos.f64 (/.f64 #s(literal 1 binary64) x))
(+.f64 (acos.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(+.f64 (PI.f64) (neg.f64 (acos.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 #s(literal 0 binary64) (acos.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (asin.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) (fma.f64 (asin.f64 (/.f64 #s(literal 1 binary64) x)) (acos.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (fma.f64 (asin.f64 (/.f64 #s(literal 1 binary64) x)) (acos.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(+.f64 (/.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (acos.f64 (/.f64 #s(literal -1 binary64) x))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (acos.f64 (/.f64 #s(literal -1 binary64) x)))))
(+.f64 (+.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (asin.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) (asin.f64 (/.f64 #s(literal -1 binary64) x)))
(-.f64 (PI.f64) (acos.f64 (/.f64 #s(literal -1 binary64) x)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 0 binary64) (neg.f64 (acos.f64 (/.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 0 binary64) (-.f64 (asin.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(-.f64 (asin.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(-.f64 (/.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) (fma.f64 (asin.f64 (/.f64 #s(literal 1 binary64) x)) (acos.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 (pow.f64 (asin.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (fma.f64 (asin.f64 (/.f64 #s(literal 1 binary64) x)) (acos.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(-.f64 (/.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (acos.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (pow.f64 (asin.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (acos.f64 (/.f64 #s(literal -1 binary64) x))))
(-.f64 (+.f64 #s(literal 0 binary64) (PI.f64)) (acos.f64 (/.f64 #s(literal -1 binary64) x)))
(-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)) (asin.f64 (/.f64 #s(literal 1 binary64) x)))
(-.f64 (+.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (asin.f64 (/.f64 #s(literal 1 binary64) x)))
(-.f64 (+.f64 #s(literal 0 binary64) (/.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) (fma.f64 (asin.f64 (/.f64 #s(literal 1 binary64) x)) (acos.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 (pow.f64 (asin.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (fma.f64 (asin.f64 (/.f64 #s(literal 1 binary64) x)) (acos.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(-.f64 (+.f64 #s(literal 0 binary64) (/.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (acos.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (pow.f64 (asin.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (acos.f64 (/.f64 #s(literal -1 binary64) x))))
(-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) (asin.f64 (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (acos.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (PI.f64) (neg.f64 (acos.f64 (/.f64 #s(literal -1 binary64) x))))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 #s(literal -1 binary64) x)))
(fma.f64 (PI.f64) #s(literal 1 binary64) (neg.f64 (acos.f64 (/.f64 #s(literal -1 binary64) x))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 #s(literal -1 binary64) x)))
(fma.f64 (PI.f64) (log.f64 (E.f64)) (neg.f64 (acos.f64 (/.f64 #s(literal -1 binary64) x))))
(fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (acos.f64 (/.f64 #s(literal -1 binary64) x))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (acos.f64 (/.f64 #s(literal -1 binary64) x)))))
(fma.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 #s(literal -1 binary64) x))))
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1 binary64) (asin.f64 (/.f64 #s(literal -1 binary64) x)))
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64) (neg.f64 (acos.f64 (/.f64 #s(literal -1 binary64) x))))
(fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (/.f64 #s(literal -1 binary64) x))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (acos.f64 (/.f64 #s(literal -1 binary64) x)))))
(fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (fma.f64 (asin.f64 (/.f64 #s(literal 1 binary64) x)) (acos.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (fma.f64 (asin.f64 (/.f64 #s(literal 1 binary64) x)) (acos.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(fma.f64 (asin.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (asin.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (PI.f64)) (neg.f64 (acos.f64 (/.f64 #s(literal -1 binary64) x))))
(fma.f64 #s(literal -1 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64)) (asin.f64 (/.f64 #s(literal -1 binary64) x)))
(fma.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (neg.f64 (acos.f64 (/.f64 #s(literal -1 binary64) x))))
(fma.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (neg.f64 (acos.f64 (/.f64 #s(literal -1 binary64) x))))
(fma.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64))) (neg.f64 (acos.f64 (/.f64 #s(literal -1 binary64) x))))
(fma.f64 (cbrt.f64 (PI.f64)) (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal -1 binary64) x)))
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 #s(literal -1 binary64) x)))
(fma.f64 (cbrt.f64 (PI.f64)) (.f64 (cbrt.f64 (PI.f64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (asin.f64 (/.f64 #s(literal -1 binary64) x)))
(fma.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (asin.f64 (/.f64 #s(literal -1 binary64) x)))
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 (/.f64 #s(literal -1 binary64) x))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (cbrt.f64 (PI.f64)) (neg.f64 (acos.f64 (/.f64 #s(literal -1 binary64) x))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 #s(literal -1 binary64) x)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (neg.f64 (acos.f64 (/.f64 #s(literal -1 binary64) x))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (neg.f64 (neg.f64 (cbrt.f64 (PI.f64)))) (neg.f64 (acos.f64 (/.f64 #s(literal -1 binary64) x))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (fma.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (neg.f64 (acos.f64 (/.f64 #s(literal -1 binary64) x))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (neg.f64 (cbrt.f64 (PI.f64))) #s(literal -1/2 binary64)) (asin.f64 (/.f64 #s(literal -1 binary64) x)))
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(.f64 (/.f64 (fma.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))) (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (.f64 (asin.f64 (/.f64 #s(literal 1 binary64) x)) (acos.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)) (.f64 (asin.f64 (/.f64 #s(literal -1 binary64) x)) (acos.f64 (/.f64 #s(literal -1 binary64) x)))))
(.f64 (/.f64 (-.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (fma.f64 (asin.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (PI.f64)))))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x))
(exp.f64 (neg.f64 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (*.f64 (log.f64 x) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)))
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(.f64 (pow.f64 x #s(literal -1/4 binary64)) (.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (.f64 x x)))) (.f64 x x))
(.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 x x))) x)

eval31.0ms (2.9%)

Memory: 3.0MiB live, 24.9MiB allocated
Compiler: Compiled 6 676 to 737 computations (89% saved)

prune28.0ms (2.6%)

Memory

5.0MiB live, 30.2MiB allocated

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	273	0	273
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	273	1	274

Accuracy

100.0%

Counts

274 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(acos.f64 (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 10 to 8 computations (20% saved)

simplify6.0ms (0.5%)

Memory

-4.1MiB live, 3.9MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	7	4

Stop Event

1×

saturated

Calls

Call 1

Inputs
(acos.f64 (/.f64 #s(literal 1 binary64) x))

Outputs
(acos.f64 (/.f64 #s(literal 1 binary64) x))

soundness0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Stop Event

1×

done

Compiler

Compiled 5 to 4 computations (20% saved)

preprocess18.0ms (1.7%)

Memory: -7.6MiB live, 20.6MiB allocated
Compiler: Compiled 20 to 16 computations (20% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze9.0ms (0.8%)

sample597.0ms (54.9%)

explain48.0ms (4.4%)

preprocess15.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0.1%)

simplify3.0ms (0.3%)

localize17.0ms (1.6%)

series1.0ms (0.1%)

simplify3.0ms (0.3%)

rewrite309.0ms (28.4%)

eval31.0ms (2.9%)

prune28.0ms (2.6%)

simplify6.0ms (0.5%)

soundness0.0ms (0%)

preprocess18.0ms (1.7%)

end0.0ms (0%)

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