Metrics for 2-ancestry mixing, negative discriminant

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze120.0ms (2%)

Memory

10.5MiB live, 120.0MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
26.7%	25%	68.7%	0.1%	0%	6.2%	0%	5
27.6%	25%	65.6%	0.1%	0%	9.4%	0%	6
49%	37.5%	39%	0.1%	0%	23.4%	0%	7
50.5%	37.5%	36.7%	0.1%	0%	25.8%	0%	8
67.9%	43.7%	20.7%	0.1%	0%	35.5%	0%	9
69.3%	43.7%	19.3%	0.1%	0%	36.9%	0%	10
81.5%	46.8%	10.6%	0.1%	0%	42.4%	0%	11
82.5%	46.8%	9.9%	0.1%	0%	43.2%	0%	12

Compiler

Compiled 18 to 16 computations (11.1% saved)

sample1.9s (32%)

Memory

56.3MiB live, 2 010.0MiB allocated

Samples

1.2s	8 256×	0	valid
193.0ms	1 123×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.0s

ival-cos: 303.0ms (29.3% of total)

ival-mult: 290.0ms (28.1% of total)

ival-div: 200.0ms (19.4% of total)

ival-acos: 92.0ms (8.9% of total)

ival-pi: 46.0ms (4.5% of total)

ival-add: 41.0ms (4% of total)

ival-neg: 40.0ms (3.9% of total)

exact: 10.0ms (1% of total)

ival-true: 7.0ms (0.7% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain206.0ms (3.4%)

Memory

-22.1MiB live, 376.2MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64))`
-	-	`(acos.f64 (/.f64 (neg.f64 g) h))`
-	-	`(cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))))`
-	-	`#s(literal 3 binary64)`
-	-	`(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))`
-	-	`(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))`
-	-	`(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))))`
-	-	`(neg.f64 g)`
-	-	`#s(literal 2 binary64)`
-	-	`g`
-	-	`(*.f64 #s(literal 2 binary64) (PI.f64))`
-	-	`h`
-	-	`(/.f64 (neg.f64 g) h)`
-	-	`(PI.f64)`

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

62.0ms

512×

valid

Compiler

Compiled 168 to 46 computations (72.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-cos: 14.0ms (31.9% of total)

ival-div: 11.0ms (25.1% of total)

ival-mult: 7.0ms (16% of total)

ival-acos: 4.0ms (9.1% of total)

ival-pi: 2.0ms (4.6% of total)

ival-add: 2.0ms (4.6% of total)

ival-neg: 2.0ms (4.6% of total)

exact: 1.0ms (2.3% of total)

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

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

preprocess145.0ms (2.4%)

Memory

34.8MiB live, 224.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	66
1	79	66
2	150	66
3	334	66
4	775	66
5	1603	66
6	2436	66
7	4518	64
0	14	16
0	24	14
1	42	14
2	77	14
3	152	14
4	297	14
5	444	14
6	471	14
7	528	14
8	667	14
9	704	14
10	913	14
11	2107	14
12	4911	14
13	6120	14
0	8089	13

Stop Event

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

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))))

Outputs

(*.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))))

(*.f64 (cos.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal 3 binary64))) #s(literal 2 binary64))

Compiler

Compiled 16 to 14 computations (12.5% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.5%	(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))))

Compiler

Compiled 16 to 14 computations (12.5% saved)

simplify163.0ms (2.7%)

Memory

-2.9MiB live, 139.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))))
cost-diff	0	(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))))
cost-diff	1	(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))
cost-diff	2	(/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	74
0	24	68
1	42	66
2	77	66
3	152	66
4	297	66
5	444	66
6	471	66
7	528	66
8	667	66
9	704	66
10	913	66
11	2107	66
12	4911	66
13	6120	66
0	8089	63

Stop Event

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

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))))
#s(literal 2 binary64)
(cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) (PI.f64))
(PI.f64)
#s(literal 3 binary64)
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))
(acos.f64 (/.f64 (neg.f64 g) h))
(/.f64 (neg.f64 g) h)
(neg.f64 g)
g
h

Outputs
(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))))
(*.f64 (cos.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal 3 binary64))) #s(literal 2 binary64))
#s(literal 2 binary64)
(cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))))
(cos.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal 3 binary64)))
(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))
(/.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal 3 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64))
(*.f64 #s(literal 2/3 binary64) (PI.f64))
(*.f64 #s(literal 2 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 3 binary64)
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))
(acos.f64 (/.f64 (neg.f64 g) h))
(/.f64 (neg.f64 g) h)
(neg.f64 g)
g
h

localize74.0ms (1.2%)

Memory

1.1MiB live, 101.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.94921875	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))
accuracy	0.953125	(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))
accuracy	0.9609375	(cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))))
accuracy	1.0	(/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64))

Samples

65.0ms

256×

valid

Compiler

Compiled 76 to 16 computations (78.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 14.0ms (44.6% of total)

ival-cos: 7.0ms (22.3% of total)

ival-div: 5.0ms (15.9% of total)

ival-acos: 2.0ms (6.4% of total)

ival-pi: 1.0ms (3.2% of total)

ival-add: 1.0ms (3.2% of total)

ival-neg: 1.0ms (3.2% of total)

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

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

exact: 0.0ms (0% of total)

series12.0ms (0.2%)

Memory

-26.1MiB live, 18.8MiB allocated

Counts

5 → 4

Calls

Call 1

Inputs
(/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64))
(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))
(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))))
(cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))))
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))

Outputs
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(* 1/3 (acos (* -1 (/ g h))))

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	g	@	inf	((/ (* 2 (PI)) 3) (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (/ (acos (/ (neg g) h)) 3))
2.0ms	h	@	inf	((/ (* 2 (PI)) 3) (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (/ (acos (/ (neg g) h)) 3))
2.0ms	g	@	0	((/ (* 2 (PI)) 3) (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (/ (acos (/ (neg g) h)) 3))
1.0ms	h	@	-inf	((/ (* 2 (PI)) 3) (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (/ (acos (/ (neg g) h)) 3))
1.0ms	g	@	-inf	((/ (* 2 (PI)) 3) (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (/ (acos (/ (neg g) h)) 3))

simplify166.0ms (2.8%)

Memory

22.6MiB live, 164.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	44
1	35	44
2	70	44
3	113	44
4	152	44
5	163	44
6	192	44
7	249	44
8	266	44
9	391	44
10	1073	41
11	2917	41
12	5684	41
13	7384	41
0	8388	40

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 4

Calls

Call 1

Inputs
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(* 1/3 (acos (* -1 (/ g h))))

Outputs
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64)))
(* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))
(.f64 (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 #s(literal -4/3 binary64) (PI.f64))))
(* 1/3 (acos (* -1 (/ g h))))
(*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))

rewrite113.0ms (1.9%)

Memory

23.4MiB live, 157.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	55
0	24	33
1	91	27
2	683	19
0	9359	18

Stop Event

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

Counts

5 → 119

Calls

Call 1

Inputs
(/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64))
(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))
(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))))
(cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))))
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))

Outputs
#s(literal 0 binary64)
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))) #s(literal 9 binary64)) (-.f64 #s(literal 0 binary64) (neg.f64 (acos.f64 (/.f64 (neg.f64 g) h))))) #s(literal -3 binary64))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))) #s(literal 9 binary64)) (-.f64 #s(literal 0 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 3 binary64))
(.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) #s(literal 0 binary64)) #s(literal 27 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 0 binary64))) #s(literal 9 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 0 binary64))) #s(literal 9 binary64))))
(.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) #s(literal 0 binary64)) #s(literal 27 binary64)) (+.f64 (pow.f64 (/.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 0 binary64))) #s(literal 9 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64))) (fma.f64 (/.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 0 binary64))) #s(literal 9 binary64)) (fma.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))) #s(literal 9 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))) #s(literal 27 binary64))) (fma.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) #s(literal 0 binary64)))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))) #s(literal 9 binary64)) (fma.f64 #s(literal -3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 0 binary64))) #s(literal 9 binary64))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))) #s(literal 9 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))) #s(literal 9 binary64))) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64)))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))) #s(literal 9 binary64)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64) #s(literal 0 binary64))) #s(literal -9 binary64))
(*.f64 (fma.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) #s(literal 0 binary64)) (/.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64)) (fma.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) #s(literal 0 binary64))))
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#s(literal 0 binary64)
#s(literal 0 binary64)
(/.f64 (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 6 binary64)) (/.f64 (PI.f64) #s(literal 6 binary64))) (.f64 (/.f64 (asin.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (/.f64 (asin.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 6 binary64)) (/.f64 (asin.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 6 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (asin.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 6 binary64)) (/.f64 (PI.f64) #s(literal 6 binary64)) (fma.f64 (/.f64 (asin.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (/.f64 (asin.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 6 binary64)) (/.f64 (asin.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))) (*.f64 (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))) (*.f64 (fma.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)))
(/.f64 (neg.f64 (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal -3 binary64))
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))
(neg.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -3 binary64)))
(-.f64 (/.f64 (PI.f64) #s(literal 6 binary64)) (/.f64 (asin.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))
(-.f64 (/.f64 (PI.f64) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 g h)) #s(literal 3 binary64)))

eval36.0ms (0.6%)

Memory: -48.3MiB live, 53.9MiB allocated
Compiler: Compiled 3 918 to 596 computations (84.8% saved)

prune3.0ms (0%)

Memory

9.3MiB live, 9.3MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	118	3	121
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	119	3	122

Accuracy

98.5%

Counts

122 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	1.6%	(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64))))
▶	98.5%	(.f64 #s(literal 2 binary64) (cos.f64 #s(approx (+ (/ ( 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64))))))
▶	98.5%	#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (.f64 (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))

Status

Accuracy

Program

▶

1.6%

(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64))))

▶

98.5%

(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64))))))

▶

98.5%

#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))

Compiler

Compiled 67 to 60 computations (10.4% saved)

simplify143.0ms (2.4%)

Memory

10.7MiB live, 154.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(acos.f64 (/.f64 (neg.f64 g) h))
cost-diff	0	(cos.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64)))
cost-diff	0	(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64))))
cost-diff	1	(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64))
cost-diff	0	(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64)))
cost-diff	0	#s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64))))
cost-diff	0	(cos.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64)))))
cost-diff	0	(.f64 #s(literal 2 binary64) (cos.f64 #s(approx (+ (/ ( 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64))))))
cost-diff	0	(*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))
cost-diff	0	(cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))
cost-diff	0	(.f64 (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64))
cost-diff	0	#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (.f64 (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	233
0	51	222
1	97	222
2	191	222
3	348	222
4	652	222
5	1044	222
6	1514	222
7	1745	222
8	2454	222
9	3375	222
10	5427	222
0	8025	218

Stop Event

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

Calls

Call 1

Inputs
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (.f64 (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
(.f64 (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64))
(cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))
(*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
(acos.f64 (/.f64 (neg.f64 g) h))
(/.f64 (neg.f64 g) h)
(neg.f64 g)
g
h
(PI.f64)
#s(literal 1/3 binary64)
#s(literal -2 binary64)
(.f64 #s(literal 2 binary64) (cos.f64 #s(approx (+ (/ ( 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64))))))
#s(literal 2 binary64)
(cos.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64)))))
#s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64))))
(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64)))
(acos.f64 (/.f64 (neg.f64 g) h))
(/.f64 (neg.f64 g) h)
(neg.f64 g)
g
h
#s(literal 1/3 binary64)
(*.f64 (PI.f64) #s(literal 2/3 binary64))
(PI.f64)
#s(literal 2/3 binary64)
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64))))
#s(literal 2 binary64)
(cos.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64)))
(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64))
(acos.f64 (/.f64 (neg.f64 g) h))
(/.f64 (neg.f64 g) h)
(neg.f64 g)
g
h
#s(literal 1/3 binary64)
#s(literal 0 binary64)

Outputs
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (.f64 (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))))
(.f64 (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64))
(.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))))
(cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))
(cos.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))
(*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
(acos.f64 (/.f64 (neg.f64 g) h))
(/.f64 (neg.f64 g) h)
(neg.f64 g)
g
h
(PI.f64)
#s(literal 1/3 binary64)
#s(literal -2 binary64)
(.f64 #s(literal 2 binary64) (cos.f64 #s(approx (+ (/ ( 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64))))))
(.f64 (cos.f64 #s(approx (+ (/ ( 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64))))) #s(literal 2 binary64))
#s(literal 2 binary64)
(cos.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64)))))
(cos.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))))
#s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64))))
#s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64))))
(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(acos.f64 (/.f64 (neg.f64 g) h))
(/.f64 (neg.f64 g) h)
(neg.f64 g)
g
h
#s(literal 1/3 binary64)
(*.f64 (PI.f64) #s(literal 2/3 binary64))
(*.f64 #s(literal 2/3 binary64) (PI.f64))
(PI.f64)
#s(literal 2/3 binary64)
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64))))
(.f64 (cos.f64 (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 2 binary64))
#s(literal 2 binary64)
(cos.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64)))
(cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
(acos.f64 (/.f64 (neg.f64 g) h))
(/.f64 (neg.f64 g) h)
(neg.f64 g)
g
h
#s(literal 1/3 binary64)
#s(literal 0 binary64)

localize225.0ms (3.8%)

Memory

-14.4MiB live, 258.6MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 g)
accuracy	0.0	(acos.f64 (/.f64 (neg.f64 g) h))
accuracy	0.01953125	(cos.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64)))
accuracy	0.9375	(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64))
accuracy	0.0	#s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64))))
accuracy	0.02734375	(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64)))
accuracy	0.9609375	(cos.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64)))))
accuracy	1.0	(*.f64 (PI.f64) #s(literal 2/3 binary64))
accuracy	0.0	#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (.f64 (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
accuracy	0.0078125	(cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))
accuracy	0.05078125	(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
accuracy	0.96484375	(*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))

Samples

208.0ms

256×

valid

Compiler

Compiled 193 to 30 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 115.0ms

ival-cos: 81.0ms (70.3% of total)

ival-mult: 11.0ms (9.5% of total)

const: 9.0ms (7.8% of total)

ival-div: 5.0ms (4.3% of total)

ival-add: 3.0ms (2.6% of total)

ival-acos: 2.0ms (1.7% of total)

ival-pi: 1.0ms (0.9% of total)

ival-sub: 1.0ms (0.9% of total)

exact: 1.0ms (0.9% of total)

ival-neg: 1.0ms (0.9% of total)

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

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

series28.0ms (0.5%)

Memory

-25.1MiB live, 65.2MiB allocated

Counts

15 → 12

Calls

Call 1

Inputs
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (.f64 (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
(.f64 (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64))
(cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))
(*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))
(.f64 #s(literal 2 binary64) (cos.f64 #s(approx (+ (/ ( 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64))))))
(cos.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64)))))
#s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64))))
(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64)))
(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64))))
(cos.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64)))
(acos.f64 (/.f64 (neg.f64 g) h))
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
(*.f64 (PI.f64) #s(literal 2/3 binary64))
(neg.f64 g)

Outputs
(* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))
(* -2 (cos (* 1/3 (- (acos (* -1 (/ g h))) (PI)))))
(cos (* 1/3 (- (acos (* -1 (/ g h))) (PI))))
(* 1/3 (- (acos (* -1 (/ g h))) (PI)))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(* 1/3 (acos (* -1 (/ g h))))
(* 2 (cos (* 1/3 (acos (* -1 (/ g h))))))
(cos (* 1/3 (acos (* -1 (/ g h)))))
(acos (* -1 (/ g h)))
(- (acos (* -1 (/ g h))) (PI))
(* -1 g)

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	g	@	0	((* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (cos (* (- (acos (/ (neg g) h)) (PI)) 1/3)) -2) (cos (* (- (acos (/ (neg g) h)) (PI)) 1/3)) (* (- (acos (/ (neg g) h)) (PI)) 1/3) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (+ (* (acos (/ (neg g) h)) 1/3) (* (PI) 2/3)) (+ (* (acos (/ (neg g) h)) 1/3) 0) (* 2 (cos (+ (* (acos (/ (neg g) h)) 1/3) 0))) (cos (+ (* (acos (/ (neg g) h)) 1/3) 0)) (acos (/ (neg g) h)) (- (acos (/ (neg g) h)) (PI)) (* (PI) 2/3) (neg g))
6.0ms	h	@	inf	((* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (cos (* (- (acos (/ (neg g) h)) (PI)) 1/3)) -2) (cos (* (- (acos (/ (neg g) h)) (PI)) 1/3)) (* (- (acos (/ (neg g) h)) (PI)) 1/3) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (+ (* (acos (/ (neg g) h)) 1/3) (* (PI) 2/3)) (+ (* (acos (/ (neg g) h)) 1/3) 0) (* 2 (cos (+ (* (acos (/ (neg g) h)) 1/3) 0))) (cos (+ (* (acos (/ (neg g) h)) 1/3) 0)) (acos (/ (neg g) h)) (- (acos (/ (neg g) h)) (PI)) (* (PI) 2/3) (neg g))
4.0ms	g	@	inf	((* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (cos (* (- (acos (/ (neg g) h)) (PI)) 1/3)) -2) (cos (* (- (acos (/ (neg g) h)) (PI)) 1/3)) (* (- (acos (/ (neg g) h)) (PI)) 1/3) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (+ (* (acos (/ (neg g) h)) 1/3) (* (PI) 2/3)) (+ (* (acos (/ (neg g) h)) 1/3) 0) (* 2 (cos (+ (* (acos (/ (neg g) h)) 1/3) 0))) (cos (+ (* (acos (/ (neg g) h)) 1/3) 0)) (acos (/ (neg g) h)) (- (acos (/ (neg g) h)) (PI)) (* (PI) 2/3) (neg g))
3.0ms	g	@	-inf	((* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (cos (* (- (acos (/ (neg g) h)) (PI)) 1/3)) -2) (cos (* (- (acos (/ (neg g) h)) (PI)) 1/3)) (* (- (acos (/ (neg g) h)) (PI)) 1/3) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (+ (* (acos (/ (neg g) h)) 1/3) (* (PI) 2/3)) (+ (* (acos (/ (neg g) h)) 1/3) 0) (* 2 (cos (+ (* (acos (/ (neg g) h)) 1/3) 0))) (cos (+ (* (acos (/ (neg g) h)) 1/3) 0)) (acos (/ (neg g) h)) (- (acos (/ (neg g) h)) (PI)) (* (PI) 2/3) (neg g))
3.0ms	h	@	-inf	((* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (cos (* (- (acos (/ (neg g) h)) (PI)) 1/3)) -2) (cos (* (- (acos (/ (neg g) h)) (PI)) 1/3)) (* (- (acos (/ (neg g) h)) (PI)) 1/3) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (+ (* (acos (/ (neg g) h)) 1/3) (* (PI) 2/3)) (+ (* (acos (/ (neg g) h)) 1/3) 0) (* 2 (cos (+ (* (acos (/ (neg g) h)) 1/3) 0))) (cos (+ (* (acos (/ (neg g) h)) 1/3) 0)) (acos (/ (neg g) h)) (- (acos (/ (neg g) h)) (PI)) (* (PI) 2/3) (neg g))

simplify137.0ms (2.3%)

Memory

30.6MiB live, 179.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	109
1	56	109
2	105	109
3	165	109
4	221	109
5	228	109
6	263	109
7	340	109
8	385	109
9	634	109
10	1738	104
11	4553	104
12	7621	104
0	8201	103

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 12

Calls

Call 1

Inputs
(* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))
(* -2 (cos (* 1/3 (- (acos (* -1 (/ g h))) (PI)))))
(cos (* 1/3 (- (acos (* -1 (/ g h))) (PI))))
(* 1/3 (- (acos (* -1 (/ g h))) (PI)))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(* 1/3 (acos (* -1 (/ g h))))
(* 2 (cos (* 1/3 (acos (* -1 (/ g h))))))
(cos (* 1/3 (acos (* -1 (/ g h)))))
(acos (* -1 (/ g h)))
(- (acos (* -1 (/ g h))) (PI))
(* -1 g)

Outputs
(* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))
(.f64 (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal -1/3 binary64))) #s(literal -2 binary64))
(* -2 (cos (* 1/3 (- (acos (* -1 (/ g h))) (PI)))))
(.f64 (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal -1/3 binary64))) #s(literal -2 binary64))
(cos (* 1/3 (- (acos (* -1 (/ g h))) (PI))))
(cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal -1/3 binary64)))
(* 1/3 (- (acos (* -1 (/ g h))) (PI)))
(*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))
(cos.f64 (fma.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal -2/3 binary64) (PI.f64))))
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))
(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(* 1/3 (acos (* -1 (/ g h))))
(*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))
(* 2 (cos (* 1/3 (acos (* -1 (/ g h))))))
(.f64 (cos.f64 (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 2 binary64))
(cos (* 1/3 (acos (* -1 (/ g h)))))
(cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
(acos (* -1 (/ g h)))
(acos.f64 (/.f64 (neg.f64 g) h))
(- (acos (* -1 (/ g h))) (PI))
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
(* -1 g)
(neg.f64 g)

rewrite250.0ms (4.2%)

Memory

-8.4MiB live, 473.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	191
0	51	180
1	188	180
2	1535	180
0	8355	176

Stop Event

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

Counts

15 → 795

Calls

Call 1

Inputs
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (.f64 (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
(.f64 (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64))
(cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))
(*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))
(.f64 #s(literal 2 binary64) (cos.f64 #s(approx (+ (/ ( 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64))))))
(cos.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64)))))
#s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64))))
(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64)))
(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64))))
(cos.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64)))
(acos.f64 (/.f64 (neg.f64 g) h))
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
(*.f64 (PI.f64) #s(literal 2/3 binary64))
(neg.f64 g)

Outputs
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))))
(.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))))
(.f64 (cos.f64 (.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) #s(literal -2 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) #s(literal 0 binary64)) (.f64 (sin.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) #s(literal 0 binary64)) (-.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) #s(literal 1 binary64)) (.f64 (cos.f64 (.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) #s(literal 1 binary64))) (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) #s(literal 0 binary64)) (.f64 (cos.f64 (.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) #s(literal 1 binary64))))))
(fma.f64 (sin.f64 (.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) #s(literal 0 binary64) (.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) #s(literal 0 binary64) (.f64 (cos.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) (.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))))
(sin.f64 (+.f64 (neg.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))))
(cos.f64 (neg.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))))
(cos.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))
(cos.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))
(+.f64 (.f64 (sin.f64 (.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) #s(literal 0 binary64)) (.f64 (cos.f64 (.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))) (.f64 #s(literal 0 binary64) (sin.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))))
(+.f64 (.f64 (sin.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) #s(literal 0 binary64)) (.f64 (cos.f64 (.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))
(*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))) (neg.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/3 binary64))) (neg.f64 (fma.f64 (PI.f64) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (.f64 (PI.f64) (PI.f64))))) (neg.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (PI.f64) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))))
(/.f64 (*.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 (PI.f64) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (.f64 (PI.f64) (PI.f64)))) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (fma.f64 (PI.f64) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))))
(.f64 (cos.f64 #s(approx (+ (/ ( 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64))))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 (+.f64 (neg.f64 (neg.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 #s(literal 2/3 binary64) (PI.f64)))))) (neg.f64 (neg.f64 #s(approx (+ (/ ( 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 #s(literal 2/3 binary64) (PI.f64))))))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (neg.f64 (neg.f64 #s(approx (+ (/ ( 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 #s(literal 2/3 binary64) (PI.f64)))))) (neg.f64 (neg.f64 #s(approx (+ (/ ( 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64))))))) #s(literal 2 binary64)))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (PI.f64) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))))
(/.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (PI.f64) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))))
(-.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
(+.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))) (/.f64 (*.f64 (neg.f64 (PI.f64)) (PI.f64)) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))))
(+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (neg.f64 (PI.f64)))
(.f64 (fabs.f64 (.f64 #s(literal 2/3 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(.f64 (fabs.f64 (.f64 #s(literal 2/3 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (cbrt.f64 (PI.f64)))
(*.f64 (fabs.f64 (/.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 2/3 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 #s(literal 2/3 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (/.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 2 binary64))
(.f64 (sqrt.f64 (PI.f64)) (fabs.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 2/3 binary64))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 2/3 binary64)))
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (fabs.f64 (.f64 (cbrt.f64 (PI.f64)) #s(literal 2/3 binary64))))
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 2/3 binary64)))
(*.f64 #s(literal 2/3 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 2/3 binary64))
(*.f64 #s(literal 2 binary64) (fabs.f64 (/.f64 (PI.f64) #s(literal 3 binary64))))
(*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 3 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (PI.f64)))) #s(literal -3 binary64))
(/.f64 (fabs.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (PI.f64)))) #s(literal 3 binary64))
(/.f64 (fabs.f64 (*.f64 #s(literal -2 binary64) (PI.f64))) #s(literal 3 binary64))
(/.f64 (fabs.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (PI.f64))) #s(literal 3 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (PI.f64)) #s(literal -3 binary64))
(/.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))
(neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (PI.f64)) #s(literal 3 binary64)))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 3 binary64)) (/.f64 (PI.f64) #s(literal 3 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64)) (/.f64 (PI.f64) #s(literal 3 binary64)))
(sqrt.f64 (.f64 #s(literal 4/9 binary64) (.f64 (PI.f64) (PI.f64))))
(-.f64 (/.f64 (PI.f64) #s(literal 3 binary64)) (/.f64 (neg.f64 (PI.f64)) #s(literal 3 binary64)))
(fabs.f64 (/.f64 (*.f64 #s(literal -2 binary64) (PI.f64)) #s(literal 3 binary64)))
(fabs.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal 2/3 binary64)))
(fabs.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(+.f64 (/.f64 (PI.f64) #s(literal 3 binary64)) (/.f64 (PI.f64) #s(literal 3 binary64)))
(log.f64 (exp.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64))))
(neg.f64 g)

eval188.0ms (3.2%)

Memory: 9.4MiB live, 289.7MiB allocated
Compiler: Compiled 35 662 to 3 465 computations (90.3% saved)

prune28.0ms (0.5%)

Memory

-40.8MiB live, 60.3MiB allocated

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	830	3	833
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	831	5	836

Accuracy

100.0%

Counts

836 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	1.6%	(.f64 (cos.f64 (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 2 binary64))
✓	98.5%	(.f64 #s(literal 2 binary64) (cos.f64 #s(approx (+ (/ ( 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64))))))
▶	100.0%	#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -2 binary64)))
▶	98.5%	#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (.f64 (cos.f64 (.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
✓	98.5%	#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (.f64 (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))

Compiler

Compiled 128 to 111 computations (13.3% saved)

simplify118.0ms (2%)

Memory

44.3MiB live, 234.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(acos.f64 (/.f64 (neg.f64 g) h))
cost-diff	0	(*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
cost-diff	0	(cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
cost-diff	0	(.f64 (cos.f64 (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 2 binary64))
cost-diff	0	(fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
cost-diff	0	(*.f64 (sin.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -2 binary64))
cost-diff	0	#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -2 binary64)))
cost-diff	3	(sin.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
cost-diff	0	(.f64 (cos.f64 (.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64))
cost-diff	0	#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (.f64 (cos.f64 (.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
cost-diff	1	(*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64))
cost-diff	3	(-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	229
0	58	216
1	92	216
2	157	216
3	265	206
4	436	201
5	565	197
6	604	197
7	689	197
8	877	197
9	967	197
10	1455	197
11	3756	197
12	6688	197
0	8176	195

Stop Event

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

Calls

Call 1

Inputs
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (.f64 (cos.f64 (.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
(.f64 (cos.f64 (.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64))
(cos.f64 (*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64)))
(*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64))
(-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64))
(-.f64 (PI.f64) (acos.f64 (/.f64 g h)))
(PI.f64)
(acos.f64 (/.f64 g h))
(/.f64 g h)
g
h
#s(literal 1/3 binary64)
#s(literal -2 binary64)
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -2 binary64)))
(*.f64 (sin.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -2 binary64))
(sin.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
#s(literal 1/3 binary64)
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
(acos.f64 (/.f64 (neg.f64 g) h))
(/.f64 (neg.f64 g) h)
(neg.f64 g)
g
h
(PI.f64)
(/.f64 (PI.f64) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal -2 binary64)
(.f64 (cos.f64 (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 2 binary64))
(cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
(*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
#s(literal -1/3 binary64)
(acos.f64 (/.f64 (neg.f64 g) h))
(/.f64 (neg.f64 g) h)
(neg.f64 g)
g
h
#s(literal 2 binary64)

Outputs
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (.f64 (cos.f64 (.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g h))))))
(.f64 (cos.f64 (.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64))
(.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g h)))))
(cos.f64 (*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64)))
(cos.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g h))))
(*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h)))
(-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64))
(neg.f64 (acos.f64 (/.f64 g h)))
(-.f64 (PI.f64) (acos.f64 (/.f64 g h)))
(PI.f64)
(acos.f64 (/.f64 g h))
(/.f64 g h)
g
h
#s(literal 1/3 binary64)
#s(literal -2 binary64)
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -2 binary64)))
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (.f64 (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
(*.f64 (sin.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64))
(sin.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
#s(literal 1/3 binary64)
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
(acos.f64 (/.f64 (neg.f64 g) h))
(/.f64 (neg.f64 g) h)
(neg.f64 g)
g
h
(PI.f64)
(/.f64 (PI.f64) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal -2 binary64)
(.f64 (cos.f64 (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 2 binary64))
(.f64 (cos.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))) #s(literal 2 binary64))
(cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
(cos.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64)))
(*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
#s(literal -1/3 binary64)
(acos.f64 (/.f64 (neg.f64 g) h))
(/.f64 (neg.f64 g) h)
(neg.f64 g)
g
h
#s(literal 2 binary64)

localize111.0ms (1.9%)

Memory

-7.2MiB live, 186.2MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 g)
accuracy	0.0	(acos.f64 (/.f64 (neg.f64 g) h))
accuracy	0.01953125	(cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
accuracy	0.9375	(*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
accuracy	0.0	#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -2 binary64)))
accuracy	0.05078125	(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
accuracy	0.94140625	(fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
accuracy	0.94921875	(sin.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
accuracy	0.0078125	(cos.f64 (*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64)))
accuracy	0.046875	(-.f64 (PI.f64) (acos.f64 (/.f64 g h)))
accuracy	0.05078125	(-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64))
accuracy	0.96484375	(*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64))

Samples

91.0ms

256×

valid

Compiler

Compiled 204 to 35 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-mult: 20.0ms (28.9% of total)

ival-cos: 12.0ms (17.4% of total)

ival-sin: 9.0ms (13% of total)

ival-div: 8.0ms (11.6% of total)

const: 6.0ms (8.7% of total)

ival-acos: 4.0ms (5.8% of total)

ival-sub: 3.0ms (4.3% of total)

ival-add: 2.0ms (2.9% of total)

ival-pi: 1.0ms (1.4% of total)

ival-neg: 1.0ms (1.4% of total)

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

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

exact: 0.0ms (0% of total)

series31.0ms (0.5%)

Memory

2.5MiB live, 47.7MiB allocated

Counts

16 → 15

Calls

Call 1

Inputs
(-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64))
(*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64))
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (.f64 (cos.f64 (.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
(.f64 (cos.f64 (.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64))
(sin.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -2 binary64)))
(*.f64 (sin.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -2 binary64))
(fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(.f64 (cos.f64 (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 2 binary64))
(cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
(*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
(acos.f64 (/.f64 (neg.f64 g) h))
(-.f64 (PI.f64) (acos.f64 (/.f64 g h)))
(cos.f64 (*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64)))
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
(neg.f64 g)

Outputs
(* -1 (acos (/ g h)))
(* -1/3 (acos (/ g h)))
(* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))
(* -2 (cos (* -1/3 (acos (/ g h)))))
(sin (+ (* 1/3 (- (acos (* -1 (/ g h))) (PI))) (* 1/2 (PI))))
(* -2 (sin (+ (* 1/3 (- (acos (* -1 (/ g h))) (PI))) (* 1/2 (PI)))))
(+ (* 1/3 (- (acos (* -1 (/ g h))) (PI))) (* 1/2 (PI)))
(* 2 (cos (* -1/3 (acos (* -1 (/ g h))))))
(cos (* -1/3 (acos (* -1 (/ g h)))))
(* -1/3 (acos (* -1 (/ g h))))
(acos (* -1 (/ g h)))
(- (PI) (acos (/ g h)))
(cos (* -1/3 (acos (/ g h))))
(- (acos (* -1 (/ g h))) (PI))
(* -1 g)

Calls

6 calls:

Time	Variable		Point	Expression
13.0ms	g	@	0	((- (- (PI) (acos (/ g h))) (PI)) (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) -2) (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) -2) (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (* (cos (* -1/3 (acos (/ (neg g) h)))) 2) (cos (* -1/3 (acos (/ (neg g) h)))) (* -1/3 (acos (/ (neg g) h))) (acos (/ (neg g) h)) (- (PI) (acos (/ g h))) (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) (- (acos (/ (neg g) h)) (PI)) (neg g))
4.0ms	g	@	inf	((- (- (PI) (acos (/ g h))) (PI)) (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) -2) (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) -2) (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (* (cos (* -1/3 (acos (/ (neg g) h)))) 2) (cos (* -1/3 (acos (/ (neg g) h)))) (* -1/3 (acos (/ (neg g) h))) (acos (/ (neg g) h)) (- (PI) (acos (/ g h))) (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) (- (acos (/ (neg g) h)) (PI)) (neg g))
4.0ms	h	@	inf	((- (- (PI) (acos (/ g h))) (PI)) (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) -2) (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) -2) (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (* (cos (* -1/3 (acos (/ (neg g) h)))) 2) (cos (* -1/3 (acos (/ (neg g) h)))) (* -1/3 (acos (/ (neg g) h))) (acos (/ (neg g) h)) (- (PI) (acos (/ g h))) (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) (- (acos (/ (neg g) h)) (PI)) (neg g))
4.0ms	g	@	-inf	((- (- (PI) (acos (/ g h))) (PI)) (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) -2) (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) -2) (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (* (cos (* -1/3 (acos (/ (neg g) h)))) 2) (cos (* -1/3 (acos (/ (neg g) h)))) (* -1/3 (acos (/ (neg g) h))) (acos (/ (neg g) h)) (- (PI) (acos (/ g h))) (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) (- (acos (/ (neg g) h)) (PI)) (neg g))
3.0ms	h	@	-inf	((- (- (PI) (acos (/ g h))) (PI)) (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) -2) (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) -2) (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (* (cos (* -1/3 (acos (/ (neg g) h)))) 2) (cos (* -1/3 (acos (/ (neg g) h)))) (* -1/3 (acos (/ (neg g) h))) (acos (/ (neg g) h)) (- (PI) (acos (/ g h))) (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) (- (acos (/ (neg g) h)) (PI)) (neg g))

simplify131.0ms (2.2%)

Memory

0.5MiB live, 235.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	129
1	78	129
2	138	129
3	216	129
4	298	129
5	332	129
6	377	129
7	475	129
8	561	129
9	991	129
10	2706	127
11	6287	127
0	8220	124

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 15

Calls

Call 1

Inputs
(* -1 (acos (/ g h)))
(* -1/3 (acos (/ g h)))
(* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))
(* -2 (cos (* -1/3 (acos (/ g h)))))
(sin (+ (* 1/3 (- (acos (* -1 (/ g h))) (PI))) (* 1/2 (PI))))
(* -2 (sin (+ (* 1/3 (- (acos (* -1 (/ g h))) (PI))) (* 1/2 (PI)))))
(+ (* 1/3 (- (acos (* -1 (/ g h))) (PI))) (* 1/2 (PI)))
(* 2 (cos (* -1/3 (acos (* -1 (/ g h))))))
(cos (* -1/3 (acos (* -1 (/ g h)))))
(* -1/3 (acos (* -1 (/ g h))))
(acos (* -1 (/ g h)))
(- (PI) (acos (/ g h)))
(cos (* -1/3 (acos (/ g h))))
(- (acos (* -1 (/ g h))) (PI))
(* -1 g)

Outputs
(* -1 (acos (/ g h)))
(neg.f64 (acos.f64 (/.f64 g h)))
(* -1/3 (acos (/ g h)))
(*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h)))
(* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))
(.f64 (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal -1/3 binary64))) #s(literal -2 binary64))
(* -2 (cos (* -1/3 (acos (/ g h)))))
(.f64 (cos.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g h)))) #s(literal -2 binary64))
(sin (+ (* 1/3 (- (acos (* -1 (/ g h))) (PI))) (* 1/2 (PI))))
(sin.f64 (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(* -2 (sin (+ (* 1/3 (- (acos (* -1 (/ g h))) (PI))) (* 1/2 (PI)))))
(.f64 (sin.f64 (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal -2 binary64))
(+ (* 1/3 (- (acos (* -1 (/ g h))) (PI))) (* 1/2 (PI)))
(fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(* 2 (cos (* -1/3 (acos (* -1 (/ g h))))))
(.f64 (cos.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64))) #s(literal 2 binary64))
(cos (* -1/3 (acos (* -1 (/ g h)))))
(cos.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64)))
(* -1/3 (acos (* -1 (/ g h))))
(*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64))
(acos (* -1 (/ g h)))
(acos.f64 (/.f64 (neg.f64 g) h))
(- (PI) (acos (/ g h)))
(-.f64 (PI.f64) (acos.f64 (/.f64 g h)))
(cos (* -1/3 (acos (/ g h))))
(cos.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 g h))))
(- (acos (* -1 (/ g h))) (PI))
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
(* -1 g)
(neg.f64 g)

rewrite182.0ms (3%)

Memory

-32.4MiB live, 352.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	189
0	58	170
1	204	170
2	1349	170
0	8102	168

Stop Event

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

Counts

16 → 274

Calls

Call 1

Inputs
(-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64))
(*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64))
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (.f64 (cos.f64 (.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
(.f64 (cos.f64 (.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64))
(sin.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -2 binary64)))
(*.f64 (sin.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -2 binary64))
(fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(.f64 (cos.f64 (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 2 binary64))
(cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
(*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
(acos.f64 (/.f64 (neg.f64 g) h))
(-.f64 (PI.f64) (acos.f64 (/.f64 g h)))
(cos.f64 (*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64)))
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
(neg.f64 g)

Outputs
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) (.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) (/.f64 (.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))) (+.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) (fma.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) (/.f64 (.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) (.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (PI.f64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (neg.f64 (PI.f64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (PI.f64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (neg.f64 (PI.f64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (PI.f64) (PI.f64) (+.f64 (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 2 binary64)) (*.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))))) (neg.f64 (neg.f64 (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 2 binary64))) (+.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64))))
(/.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 3 binary64))) (fma.f64 (PI.f64) (PI.f64) (+.f64 (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 2 binary64)) (*.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64)))) (neg.f64 (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))
(/.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)))) (/.f64 (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 2 binary64)) (+.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)))))
(-.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (PI.f64) (+.f64 (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 2 binary64)) (.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)))))) (/.f64 (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (PI.f64) (+.f64 (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 2 binary64)) (.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)))))))
(-.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))
(-.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
(-.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)))
(+.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) (/.f64 (*.f64 (neg.f64 (PI.f64)) (PI.f64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))
(+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (neg.f64 (PI.f64)))
(neg.f64 g)

eval42.0ms (0.7%)

Memory: -8.8MiB live, 92.3MiB allocated
Compiler: Compiled 12 407 to 1 253 computations (89.9% saved)

prune17.0ms (0.3%)

Memory

42.3MiB live, 42.3MiB allocated

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	221	2	223
Fresh	0	0	0
Picked	3	0	3
Done	0	2	2
Total	224	4	228

Accuracy

100.0%

Counts

228 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.5%	(.f64 #s(literal 2 binary64) (cos.f64 #s(approx (+ (/ ( 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64))))))
▶	100.0%	#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (.f64 (sin.f64 #s(approx (+ ( 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -2 binary64)))
✓	98.5%	#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (.f64 (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
▶	98.5%	#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (.f64 (cos.f64 #s(approx ( (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))) #s(literal -2 binary64)))

Compiler

Compiled 139 to 111 computations (20.1% saved)

simplify167.0ms (2.8%)

Memory

1.7MiB live, 176.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
cost-diff	0	(sin.f64 #s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
cost-diff	0	(.f64 (sin.f64 #s(approx (+ ( 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -2 binary64))
cost-diff	0	#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (.f64 (sin.f64 #s(approx (+ ( 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -2 binary64)))
cost-diff	0	#s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))
cost-diff	0	(cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h)))))
cost-diff	0	(.f64 (cos.f64 #s(approx ( (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))) #s(literal -2 binary64))
cost-diff	0	#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (.f64 (cos.f64 #s(approx ( (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))) #s(literal -2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	276
0	62	272
1	97	272
2	150	272
3	246	264
4	403	260
5	522	260
6	608	256
7	780	256
8	831	256
9	1088	256
10	2460	256
11	5253	256
12	7148	256
0	8308	250

Stop Event

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

Calls

Call 1

Inputs
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (.f64 (cos.f64 #s(approx ( (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))) #s(literal -2 binary64)))
(.f64 (cos.f64 #s(approx ( (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))) #s(literal -2 binary64))
(cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h)))))
#s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))
(*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h)))
#s(literal -1/3 binary64)
(acos.f64 (/.f64 g h))
(/.f64 g h)
g
h
#s(literal -2 binary64)
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (.f64 (sin.f64 #s(approx (+ ( 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -2 binary64)))
(.f64 (sin.f64 #s(approx (+ ( 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -2 binary64))
(sin.f64 #s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
(acos.f64 (/.f64 (neg.f64 g) h))
(/.f64 (neg.f64 g) h)
(neg.f64 g)
g
h
(PI.f64)
#s(literal 1/3 binary64)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
#s(literal -2 binary64)

Outputs
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (.f64 (cos.f64 #s(approx ( (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))) #s(literal -2 binary64)))
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (.f64 #s(literal -2 binary64) (cos.f64 #s(approx ( (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64))))))
(.f64 (cos.f64 #s(approx ( (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))) #s(literal -2 binary64))
(.f64 #s(literal -2 binary64) (cos.f64 #s(approx ( (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))))
(cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h)))))
(cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64))))
#s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))
#s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))
(*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h)))
(*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(acos.f64 (/.f64 g h))
(/.f64 g h)
g
h
#s(literal -2 binary64)
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (.f64 (sin.f64 #s(approx (+ ( 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -2 binary64)))
(.f64 (sin.f64 #s(approx (+ ( 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -2 binary64))
(sin.f64 #s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
(acos.f64 (/.f64 (neg.f64 g) h))
(/.f64 (neg.f64 g) h)
(neg.f64 g)
g
h
(PI.f64)
#s(literal 1/3 binary64)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
#s(literal -2 binary64)

localize165.0ms (2.8%)

Memory

33.3MiB live, 259.5MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (.f64 (sin.f64 #s(approx (+ ( 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -2 binary64)))
accuracy	0.05078125	(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
accuracy	0.94140625	(fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
accuracy	0.94921875	(sin.f64 #s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
accuracy	0.0	#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (.f64 (cos.f64 #s(approx ( (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))) #s(literal -2 binary64)))
accuracy	0.00390625	(acos.f64 (/.f64 g h))
accuracy	0.0078125	(cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h)))))
accuracy	0.96484375	(*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h)))

Samples

122.0ms

256×

valid

Compiler

Compiled 168 to 37 computations (78% saved)

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

ival-sin: 35.0ms (32.7% of total)

ival-mult: 22.0ms (20.5% of total)

ival-cos: 20.0ms (18.7% of total)

ival-div: 9.0ms (8.4% of total)

const: 7.0ms (6.5% of total)

ival-acos: 4.0ms (3.7% of total)

ival-add: 3.0ms (2.8% of total)

ival-sub: 3.0ms (2.8% of total)

ival-pi: 1.0ms (0.9% of total)

exact: 1.0ms (0.9% of total)

ival-neg: 1.0ms (0.9% of total)

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

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

series41.0ms (0.7%)

Memory

-28.2MiB live, 19.2MiB allocated

Counts

12 → 9

Calls

Call 1

Inputs
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (.f64 (cos.f64 #s(approx ( (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))) #s(literal -2 binary64)))
(.f64 (cos.f64 #s(approx ( (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))) #s(literal -2 binary64))
(cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h)))))
#s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (.f64 (sin.f64 #s(approx (+ ( 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -2 binary64)))
(.f64 (sin.f64 #s(approx (+ ( 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -2 binary64))
(sin.f64 #s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h)))
(acos.f64 (/.f64 g h))
(fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))

Outputs
(* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))
(* -2 (cos (* -1/3 (acos (/ g h)))))
(cos (* -1/3 (acos (/ g h))))
(* -1/3 (acos (/ g h)))
(* -2 (sin (+ (* 1/3 (- (acos (* -1 (/ g h))) (PI))) (* 1/2 (PI)))))
(sin (+ (* 1/3 (- (acos (* -1 (/ g h))) (PI))) (* 1/2 (PI))))
(+ (* 1/3 (- (acos (* -1 (/ g h))) (PI))) (* 1/2 (PI)))
(acos (/ g h))
(- (acos (* -1 (/ g h))) (PI))

Calls

6 calls:

Time	Variable		Point	Expression
29.0ms	g	@	0	((* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) -2) (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) -2) (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (* -1/3 (acos (/ g h))) (acos (/ g h)) (+ (* (- (acos (/ (neg g) h)) (PI)) 1/3) (* 1/2 (PI))) (- (acos (/ (neg g) h)) (PI)))
2.0ms	g	@	-inf	((* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) -2) (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) -2) (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (* -1/3 (acos (/ g h))) (acos (/ g h)) (+ (* (- (acos (/ (neg g) h)) (PI)) 1/3) (* 1/2 (PI))) (- (acos (/ (neg g) h)) (PI)))
2.0ms	g	@	inf	((* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) -2) (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) -2) (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (* -1/3 (acos (/ g h))) (acos (/ g h)) (+ (* (- (acos (/ (neg g) h)) (PI)) 1/3) (* 1/2 (PI))) (- (acos (/ (neg g) h)) (PI)))
2.0ms	h	@	inf	((* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) -2) (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) -2) (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (* -1/3 (acos (/ g h))) (acos (/ g h)) (+ (* (- (acos (/ (neg g) h)) (PI)) 1/3) (* 1/2 (PI))) (- (acos (/ (neg g) h)) (PI)))
2.0ms	h	@	-inf	((* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) -2) (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) -2) (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (* -1/3 (acos (/ g h))) (acos (/ g h)) (+ (* (- (acos (/ (neg g) h)) (PI)) 1/3) (* 1/2 (PI))) (- (acos (/ (neg g) h)) (PI)))

simplify148.0ms (2.5%)

Memory

-9.3MiB live, 175.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	90
1	62	90
2	116	90
3	181	90
4	246	90
5	261	90
6	304	90
7	382	90
8	453	90
9	827	90
10	2377	88
11	5644	88
12	7884	88
0	8664	85

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 9

Calls

Call 1

Inputs
(* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))
(* -2 (cos (* -1/3 (acos (/ g h)))))
(cos (* -1/3 (acos (/ g h))))
(* -1/3 (acos (/ g h)))
(* -2 (sin (+ (* 1/3 (- (acos (* -1 (/ g h))) (PI))) (* 1/2 (PI)))))
(sin (+ (* 1/3 (- (acos (* -1 (/ g h))) (PI))) (* 1/2 (PI))))
(+ (* 1/3 (- (acos (* -1 (/ g h))) (PI))) (* 1/2 (PI)))
(acos (/ g h))
(- (acos (* -1 (/ g h))) (PI))

Outputs
(* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))
(.f64 (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal -1/3 binary64))) #s(literal -2 binary64))
(* -2 (cos (* -1/3 (acos (/ g h)))))
(.f64 (cos.f64 (.f64 (acos.f64 (/.f64 g h)) #s(literal 1/3 binary64))) #s(literal -2 binary64))
(cos (* -1/3 (acos (/ g h))))
(cos.f64 (*.f64 (acos.f64 (/.f64 g h)) #s(literal 1/3 binary64)))
(* -1/3 (acos (/ g h)))
(*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64))
(* -2 (sin (+ (* 1/3 (- (acos (* -1 (/ g h))) (PI))) (* 1/2 (PI)))))
(.f64 (sin.f64 (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal -2 binary64))
(sin (+ (* 1/3 (- (acos (* -1 (/ g h))) (PI))) (* 1/2 (PI))))
(sin.f64 (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(+ (* 1/3 (- (acos (* -1 (/ g h))) (PI))) (* 1/2 (PI)))
(fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(acos (/ g h))
(acos.f64 (/.f64 g h))
(- (acos (* -1 (/ g h))) (PI))
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))

rewrite222.0ms (3.7%)

Memory

29.3MiB live, 223.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	249
0	62	241
1	217	241
2	1438	241
0	8381	235

Stop Event

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

Counts

12 → 112

Calls

Call 1

Inputs
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (.f64 (cos.f64 #s(approx ( (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))) #s(literal -2 binary64)))
(.f64 (cos.f64 #s(approx ( (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))) #s(literal -2 binary64))
(cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h)))))
#s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (.f64 (sin.f64 #s(approx (+ ( 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -2 binary64)))
(.f64 (sin.f64 #s(approx (+ ( 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -2 binary64))
(sin.f64 #s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h)))
(acos.f64 (/.f64 g h))
(fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))

Outputs
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (.f64 #s(literal -2 binary64) (cos.f64 #s(approx ( (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64))))))
(.f64 #s(literal -2 binary64) (cos.f64 #s(approx ( (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))))
(.f64 (cos.f64 #s(approx ( (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal -2 binary64))
(/.f64 (-.f64 (.f64 (.f64 (sin.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal 0 binary64)) (.f64 (sin.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal 0 binary64))) (.f64 (.f64 (cos.f64 #s(approx ( (- (- (PI) (acos (/ g h))) (PI)) 1/3) (.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal 1 binary64)) (.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal 1 binary64)))) (-.f64 (.f64 (sin.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal 0 binary64)) (.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 #s(approx ( (- (- (PI) (acos (/ g h))) (PI)) 1/3) (.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal 0 binary64)) (.f64 (sin.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal 0 binary64)) (-.f64 (.f64 (.f64 (cos.f64 #s(approx ( (- (- (PI) (acos (/ g h))) (PI)) 1/3) (.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal 1 binary64)) (.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal 1 binary64))) (.f64 (.f64 (sin.f64 #s(approx ( (- (- (PI) (acos (/ g h))) (PI)) 1/3) (.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal 0 binary64)) (.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal 1 binary64))))))
(fma.f64 (sin.f64 (neg.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64))))) #s(literal 0 binary64) (.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(fma.f64 (sin.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal 0 binary64) (.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) (.f64 #s(literal 0 binary64) (sin.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64))))))
(sin.f64 (+.f64 (neg.f64 (neg.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (neg.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))))
(cos.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))))))
(cos.f64 (neg.f64 (neg.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64))))))
(cos.f64 (neg.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))))
(cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64))))
(+.f64 (.f64 (sin.f64 (neg.f64 #s(approx ( (- (- (PI) (acos (/ g h))) (PI)) 1/3) (.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64))))) #s(literal 0 binary64)) (.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 #s(approx ( (- (- (PI) (acos (/ g h))) (PI)) 1/3) (.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64))))) (.f64 #s(literal 0 binary64) (sin.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64))))))
(+.f64 (.f64 (sin.f64 #s(approx ( (- (- (PI) (acos (/ g h))) (PI)) 1/3) (.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal 0 binary64)) (.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
#s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 (acos.f64 (/.f64 g h)) #s(literal -1/3 binary64)))
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (.f64 (sin.f64 #s(approx (+ ( 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -2 binary64)))
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(+.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) (.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) (/.f64 (.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))) (+.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) (fma.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) (/.f64 (.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) (.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (PI.f64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (neg.f64 (PI.f64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (PI.f64) (PI.f64) (+.f64 (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 2 binary64)) (*.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))))) (neg.f64 (neg.f64 (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 2 binary64))) (+.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64))))
(/.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 3 binary64))) (fma.f64 (PI.f64) (PI.f64) (+.f64 (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 2 binary64)) (*.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64)))) (neg.f64 (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))
(/.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)))) (/.f64 (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 2 binary64)) (+.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)))))
(-.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (PI.f64) (+.f64 (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 2 binary64)) (.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)))))) (/.f64 (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (PI.f64) (+.f64 (pow.f64 (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)) #s(literal 2 binary64)) (.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)))))))
(-.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))
(-.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))))
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))
(-.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)))
(+.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) (/.f64 (*.f64 (neg.f64 (PI.f64)) (PI.f64)) (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))
(+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (neg.f64 (PI.f64)))

eval38.0ms (0.6%)

Memory: -23.7MiB live, 20.8MiB allocated
Compiler: Compiled 8 612 to 819 computations (90.5% saved)

prune13.0ms (0.2%)

Memory

15.0MiB live, 15.0MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	119	4	123

Accuracy

100.0%

Counts

123 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.5%	(.f64 #s(literal 2 binary64) (cos.f64 #s(approx (+ (/ ( 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64))))))
✓	100.0%	#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (.f64 (sin.f64 #s(approx (+ ( 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -2 binary64)))
✓	98.5%	#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (.f64 (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
✓	98.5%	#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (.f64 (cos.f64 #s(approx ( (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))) #s(literal -2 binary64)))

Compiler

Compiled 377 to 193 computations (48.8% saved)

regimes23.0ms (0.4%)

Memory

27.4MiB live, 27.4MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (.f64 (cos.f64 #s(approx ( (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))) #s(literal -2 binary64)))
(.f64 (cos.f64 (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64))))
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (.f64 (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (.f64 (cos.f64 (.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
(.f64 #s(literal 2 binary64) (cos.f64 #s(approx (+ (/ ( 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64))))))
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (.f64 (sin.f64 #s(approx (+ ( 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -2 binary64)))
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -2 binary64)))
(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))))

Outputs

#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (sin.f64 #s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -2 binary64)))

Calls

9 calls:

4.0ms	h
4.0ms	g
4.0ms	(neg.f64 g)
3.0ms	(/.f64 (neg.f64 g) h)
2.0ms	(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))))

Results

Accuracy	Segments	Branch
100.0%	1	`(neg.f64 g)`
100.0%	1	`(/.f64 (neg.f64 g) h)`
100.0%	1	`(acos.f64 (/.f64 (neg.f64 g) h))`
100.0%	1	`(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))`
100.0%	1	`(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))`
100.0%	1	`(cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))))`
100.0%	1	`(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))))`
100.0%	1	`g`
100.0%	1	`h`

Compiler

Compiled 63 to 62 computations (1.6% saved)

regimes23.0ms (0.4%)

Memory

-34.7MiB live, 22.1MiB allocated

Accuracy

Total -62.0b remaining (-6482.8%)

Threshold costs -62b (-6482.8%)

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (.f64 (cos.f64 #s(approx ( (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))) #s(literal -2 binary64)))
(.f64 (cos.f64 (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64))))
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (.f64 (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (.f64 (cos.f64 (.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
(.f64 #s(literal 2 binary64) (cos.f64 #s(approx (+ (/ ( 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64))))))

Outputs

#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))) #s(literal -2 binary64)))

Calls

9 calls:

9.0ms	h
3.0ms	g
3.0ms	(neg.f64 g)
2.0ms	(/.f64 (neg.f64 g) h)
1.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
98.5%	1	`(neg.f64 g)`
98.5%	1	`(/.f64 (neg.f64 g) h)`
98.5%	1	`(acos.f64 (/.f64 (neg.f64 g) h))`
98.5%	1	`(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))`
98.5%	1	`(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))`
98.5%	1	`(cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))))`
98.5%	1	`(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))))`
98.5%	1	`g`
98.5%	1	`h`

Compiler

Compiled 63 to 62 computations (1.6% saved)

simplify41.0ms (0.7%)

Memory

-12.3MiB live, 31.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	45	79
1	74	79
2	121	79
3	217	77
4	413	76
5	593	76
6	805	76
7	2721	76

Stop Event

1×	node limit

Calls

Call 1

Inputs

#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (sin.f64 #s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -2 binary64)))

#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))) #s(literal -2 binary64)))

Outputs

#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (sin.f64 #s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -2 binary64)))

#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))) #s(literal -2 binary64)))

soundness489.0ms (8.2%)

Memory

7.8MiB live, 344.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	129
1	78	129
2	138	129
3	216	129
4	298	129
5	332	129
6	377	129
7	475	129
8	561	129
9	991	129
10	2706	127
11	6287	127
0	8220	124
0	35	191
0	51	180
1	188	180
2	1535	180
0	8355	176
0	15	44
1	35	44
2	70	44
3	113	44
4	152	44
5	163	44
6	192	44
7	249	44
8	266	44
9	391	44
10	1073	41
11	2917	41
12	5684	41
13	7384	41
0	8388	40

Stop Event

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

Compiler

Compiled 141 to 100 computations (29.1% saved)

preprocess25.0ms (0.4%)

Memory: 26.0MiB live, 69.9MiB allocated
Compiler: Compiled 198 to 120 computations (39.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze120.0ms (2%)

sample1.9s (32%)

explain206.0ms (3.4%)

preprocess145.0ms (2.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify163.0ms (2.7%)

localize74.0ms (1.2%)

series12.0ms (0.2%)

simplify166.0ms (2.8%)

rewrite113.0ms (1.9%)

eval36.0ms (0.6%)

prune3.0ms (0%)

simplify143.0ms (2.4%)

localize225.0ms (3.8%)

series28.0ms (0.5%)

simplify137.0ms (2.3%)

rewrite250.0ms (4.2%)

eval188.0ms (3.2%)

prune28.0ms (0.5%)

simplify118.0ms (2%)

localize111.0ms (1.9%)

series31.0ms (0.5%)

simplify131.0ms (2.2%)

rewrite182.0ms (3%)

eval42.0ms (0.7%)

prune17.0ms (0.3%)

simplify167.0ms (2.8%)

localize165.0ms (2.8%)

series41.0ms (0.7%)

simplify148.0ms (2.5%)

rewrite222.0ms (3.7%)

eval38.0ms (0.6%)

prune13.0ms (0.2%)

regimes23.0ms (0.4%)

regimes23.0ms (0.4%)

simplify41.0ms (0.7%)

soundness489.0ms (8.2%)

preprocess25.0ms (0.4%)

end0.0ms (0%)

Profiling