Metrics for 2-ancestry mixing, negative discriminant

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze138.0ms (2.6%)

Memory

-7.7MiB live, 222.2MiB allocated; 42ms collecting garbage

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)

sample1.8s (34%)

Memory

75.2MiB live, 2 736.3MiB allocated; 543ms collecting garbage

Samples

1.2s	8 256×	0	valid
134.0ms	1 090×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 953.0ms

ival-cos: 289.0ms (30.3% of total)

ival-div: 238.0ms (25% of total)

ival-mult: 132.0ms (13.9% of total)

ival-add: 91.0ms (9.6% of total)

ival-acos: 83.0ms (8.7% of total)

ival-neg: 49.0ms (5.1% of total)

ival-pi: 45.0ms (4.7% of total)

exact: 11.0ms (1.2% of total)

ival-true: 8.0ms (0.8% of total)

ival-assert: 4.0ms (0.4% of total)

adjust: 3.0ms (0.3% of total)

Bogosity

explain198.0ms (3.8%)

Memory

-11.3MiB live, 246.8MiB allocated; 73ms collecting garbage

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

75.0ms

512×

valid

Compiler

Compiled 168 to 46 computations (72.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-div: 23.0ms (40.6% of total)

ival-cos: 14.0ms (24.7% of total)

ival-mult: 7.0ms (12.4% of total)

ival-acos: 4.0ms (7.1% of total)

ival-neg: 3.0ms (5.3% of total)

ival-pi: 2.0ms (3.5% of total)

ival-add: 2.0ms (3.5% of total)

exact: 1.0ms (1.8% of total)

adjust: 0.0ms (0% of total)

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

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

preprocess221.0ms (4.2%)

Memory

12.1MiB live, 293.5MiB allocated; 41ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	66
1	79	66
2	166	66
3	415	66
4	1155	62
5	4522	61
0	14	16
0	24	14
1	42	14
2	86	14
3	207	14
4	546	14
5	2054	14
6	6535	14
0	8348	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: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 0.9MiB allocated; 0ms collecting garbage

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)

simplify169.0ms (3.2%)

Memory

-6.1MiB live, 181.6MiB allocated; 24ms collecting garbage

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	86	66
3	207	66
4	546	66
5	2054	66
6	6535	66
0	8348	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

localize45.0ms (0.9%)

Memory

38.1MiB live, 81.7MiB allocated; 6ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.96484375	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))
accuracy	0.9765625	(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	0.98828125	(+.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

36.0ms

256×

valid

Compiler

Compiled 76 to 16 computations (78.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-cos: 12.0ms (44.5% of total)

ival-div: 5.0ms (18.5% of total)

ival-mult: 4.0ms (14.8% of total)

ival-acos: 2.0ms (7.4% of total)

ival-pi: 1.0ms (3.7% of total)

ival-add: 1.0ms (3.7% of total)

ival-neg: 1.0ms (3.7% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series46.0ms (0.9%)

Memory

-15.6MiB live, 46.4MiB allocated; 23ms collecting garbage

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
39.0ms	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	@	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	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))
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))

simplify124.0ms (2.4%)

Memory

17.5MiB live, 154.4MiB allocated; 21ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	44
1	35	44
2	75	44
3	136	44
4	247	44
5	674	44
6	3834	44
0	8147	41

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

rewrite80.0ms (1.5%)

Memory

-45.9MiB live, 149.8MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	55
0	24	49
1	91	47
0	704	44

Stop Event

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

Counts

5 → 74

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

eval12.0ms (0.2%)

Memory: 36.9MiB live, 36.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 191 to 377 computations (82.8% saved)

prune7.0ms (0.1%)

Memory

-31.7MiB live, 20.3MiB allocated; 4ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	75	3	78
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	3	79

Accuracy

100.0%

Counts

79 → 3

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

100.0%

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

Compiler

Compiled 96 to 72 computations (25% saved)

simplify178.0ms (3.4%)

Memory

36.2MiB live, 226.3MiB allocated; 29ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	360
0	70	348
1	139	344
2	291	344
3	642	344
4	1620	329
5	6199	329
0	8243	328

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

Outputs
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (.f64 #s(literal -2 binary64) (cos.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (.f64 #s(literal -1/3 binary64) (PI.f64))))))
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (.f64 (cos.f64 (.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal 1/3 binary64))) #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) (.f64 #s(literal -1/3 binary64) (PI.f64)))))
(.f64 (cos.f64 (.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal 1/3 binary64))) #s(literal -2 binary64))
#s(literal -2 binary64)
(cos.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/3 binary64) (PI.f64))))
(cos.f64 (*.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal 1/3 binary64)))
(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/3 binary64) (PI.f64)))
(*.f64 (-.f64 (PI.f64) (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 1/3 binary64)
(*.f64 #s(literal -1/3 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(PI.f64)
(.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 (+.f64 (cos.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal 3 binary64))) (.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))) (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))))) (.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))) (sin.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)))))
(fma.f64 (sin.f64 (.f64 #s(literal 4/3 binary64) (PI.f64))) (sin.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (fma.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 (PI.f64) #s(literal -1/6 binary64))))))
(+.f64 (cos.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal 3 binary64))) (.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))) (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (fma.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 (PI.f64) #s(literal -1/6 binary64)))))
(cos.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal 3 binary64)))
(sin.f64 (fma.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal -1/6 binary64))))
(/.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal 3 binary64))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))
(fma.f64 (PI.f64) #s(literal 2 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
(PI.f64)
#s(literal 2 binary64)
(acos.f64 (/.f64 (neg.f64 g) h))
(/.f64 (neg.f64 g) h)
(neg.f64 g)
g
h
#s(literal 3 binary64)
(.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))) (cos.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))))
(.f64 #s(literal -1/2 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 3 binary64)))
(cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
(cos.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)))
#s(literal -1/2 binary64)
(*.f64 (PI.f64) #s(literal 2/3 binary64))
(*.f64 #s(literal 2/3 binary64) (PI.f64))
#s(literal 2/3 binary64)
(.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))) (sin.f64 (.f64 (PI.f64) #s(literal 2/3 binary64))))
(.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)) (sin.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))
(sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))
(sin.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
(sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)))
(/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64))

localize193.0ms (3.7%)

Memory

-63.7MiB live, 287.0MiB allocated; 57ms collecting garbage

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.9765625	(cos.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal 3 binary64)))
accuracy	1.0	(*.f64 (PI.f64) #s(literal 2/3 binary64))
accuracy	1.0	(sin.f64 (*.f64 (PI.f64) #s(literal 2/3 binary64)))
accuracy	1.58496250072115	(cos.f64 (*.f64 (PI.f64) #s(literal 2/3 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	0.01953125	(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64)))
accuracy	0.9765625	(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	(PI.f64)
accuracy	0.0	#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (.f64 #s(literal -2 binary64) (cos.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (.f64 #s(literal -1/3 binary64) (PI.f64))))))
accuracy	1.0	(*.f64 #s(literal -1/3 binary64) (PI.f64))
accuracy	1.004570019536884	(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/3 binary64) (PI.f64)))

Samples

149.0ms

256×

valid

Compiler

Compiled 324 to 39 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 128.0ms

ival-cos: 58.0ms (45.2% of total)

ival-mult: 18.0ms (14% of total)

const: 13.0ms (10.1% of total)

ival-sinu: 11.0ms (8.6% of total)

ival-cosu: 8.0ms (6.2% of total)

ival-div: 7.0ms (5.5% of total)

ival-add: 5.0ms (3.9% of total)

ival-acos: 2.0ms (1.6% of total)

ival-sin: 2.0ms (1.6% of total)

ival-pi: 1.0ms (0.8% of total)

ival-sub: 1.0ms (0.8% of total)

ival-neg: 1.0ms (0.8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series38.0ms (0.7%)

Memory

-29.6MiB live, 69.4MiB allocated; 7ms collecting garbage

Counts

16 → 9

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	h	@	inf	((+ (* (acos (/ (neg g) h)) 1/3) (* -1/3 (PI))) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* -2 (cos (+ (* (acos (/ (neg g) h)) 1/3) (* -1/3 (PI))))) (cos (+ (* (acos (/ (neg g) h)) 1/3) (* -1/3 (PI)))) (* 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)) (cos (* (PI) 2/3)) (- (+ (cos (/ (+ (* (PI) 2) (acos (/ (neg g) h))) 3)) (* (cos (/ (acos (/ (neg g) h)) 3)) (cos (* (PI) 2/3)))) (* (sin (/ (acos (/ (neg g) h)) 3)) (sin (* (PI) 2/3)))) (+ (cos (/ (+ (* (PI) 2) (acos (/ (neg g) h))) 3)) (* (cos (/ (acos (/ (neg g) h)) 3)) (cos (* (PI) 2/3)))) (cos (/ (+ (* (PI) 2) (acos (/ (neg g) h))) 3)) (* -1/3 (PI)) (PI) (* (PI) 2/3) (sin (* (PI) 2/3)))
9.0ms	g	@	0	((+ (* (acos (/ (neg g) h)) 1/3) (* -1/3 (PI))) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* -2 (cos (+ (* (acos (/ (neg g) h)) 1/3) (* -1/3 (PI))))) (cos (+ (* (acos (/ (neg g) h)) 1/3) (* -1/3 (PI)))) (* 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)) (cos (* (PI) 2/3)) (- (+ (cos (/ (+ (* (PI) 2) (acos (/ (neg g) h))) 3)) (* (cos (/ (acos (/ (neg g) h)) 3)) (cos (* (PI) 2/3)))) (* (sin (/ (acos (/ (neg g) h)) 3)) (sin (* (PI) 2/3)))) (+ (cos (/ (+ (* (PI) 2) (acos (/ (neg g) h))) 3)) (* (cos (/ (acos (/ (neg g) h)) 3)) (cos (* (PI) 2/3)))) (cos (/ (+ (* (PI) 2) (acos (/ (neg g) h))) 3)) (* -1/3 (PI)) (PI) (* (PI) 2/3) (sin (* (PI) 2/3)))
5.0ms	h	@	-inf	((+ (* (acos (/ (neg g) h)) 1/3) (* -1/3 (PI))) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* -2 (cos (+ (* (acos (/ (neg g) h)) 1/3) (* -1/3 (PI))))) (cos (+ (* (acos (/ (neg g) h)) 1/3) (* -1/3 (PI)))) (* 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)) (cos (* (PI) 2/3)) (- (+ (cos (/ (+ (* (PI) 2) (acos (/ (neg g) h))) 3)) (* (cos (/ (acos (/ (neg g) h)) 3)) (cos (* (PI) 2/3)))) (* (sin (/ (acos (/ (neg g) h)) 3)) (sin (* (PI) 2/3)))) (+ (cos (/ (+ (* (PI) 2) (acos (/ (neg g) h))) 3)) (* (cos (/ (acos (/ (neg g) h)) 3)) (cos (* (PI) 2/3)))) (cos (/ (+ (* (PI) 2) (acos (/ (neg g) h))) 3)) (* -1/3 (PI)) (PI) (* (PI) 2/3) (sin (* (PI) 2/3)))
5.0ms	g	@	-inf	((+ (* (acos (/ (neg g) h)) 1/3) (* -1/3 (PI))) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* -2 (cos (+ (* (acos (/ (neg g) h)) 1/3) (* -1/3 (PI))))) (cos (+ (* (acos (/ (neg g) h)) 1/3) (* -1/3 (PI)))) (* 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)) (cos (* (PI) 2/3)) (- (+ (cos (/ (+ (* (PI) 2) (acos (/ (neg g) h))) 3)) (* (cos (/ (acos (/ (neg g) h)) 3)) (cos (* (PI) 2/3)))) (* (sin (/ (acos (/ (neg g) h)) 3)) (sin (* (PI) 2/3)))) (+ (cos (/ (+ (* (PI) 2) (acos (/ (neg g) h))) 3)) (* (cos (/ (acos (/ (neg g) h)) 3)) (cos (* (PI) 2/3)))) (cos (/ (+ (* (PI) 2) (acos (/ (neg g) h))) 3)) (* -1/3 (PI)) (PI) (* (PI) 2/3) (sin (* (PI) 2/3)))
5.0ms	g	@	inf	((+ (* (acos (/ (neg g) h)) 1/3) (* -1/3 (PI))) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* -2 (cos (+ (* (acos (/ (neg g) h)) 1/3) (* -1/3 (PI))))) (cos (+ (* (acos (/ (neg g) h)) 1/3) (* -1/3 (PI)))) (* 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)) (cos (* (PI) 2/3)) (- (+ (cos (/ (+ (* (PI) 2) (acos (/ (neg g) h))) 3)) (* (cos (/ (acos (/ (neg g) h)) 3)) (cos (* (PI) 2/3)))) (* (sin (/ (acos (/ (neg g) h)) 3)) (sin (* (PI) 2/3)))) (+ (cos (/ (+ (* (PI) 2) (acos (/ (neg g) h))) 3)) (* (cos (/ (acos (/ (neg g) h)) 3)) (cos (* (PI) 2/3)))) (cos (/ (+ (* (PI) 2) (acos (/ (neg g) h))) 3)) (* -1/3 (PI)) (PI) (* (PI) 2/3) (sin (* (PI) 2/3)))

simplify160.0ms (3.1%)

Memory

32.3MiB live, 221.0MiB allocated; 15ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	152
1	98	148
2	267	148
3	672	148
4	1762	138
5	6295	138
0	8092	136

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 9

Calls

Call 1

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

Outputs
(+ (* -1/3 (PI)) (* 1/3 (acos (* -1 (/ g h)))))
(*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 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))
(* -2 (cos (+ (* -1/3 (PI)) (* 1/3 (acos (* -1 (/ g h)))))))
(.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 (PI)) (* 1/3 (acos (* -1 (/ g h))))))
(cos.f64 (*.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))))
(sin.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal -5/6 binary64))))
(+ (* 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)))
(- (+ (cos (* 1/3 (+ (acos (* -1 (/ g h))) (* 2 (PI))))) (* (cos (* 1/3 (acos (* -1 (/ g h))))) (cos (* 2/3 (PI))))) (* (sin (* 1/3 (acos (* -1 (/ g h))))) (sin (* 2/3 (PI)))))
(fma.f64 (sin.f64 (.f64 #s(literal 4/3 binary64) (PI.f64))) (sin.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64))) (fma.f64 (sin.f64 (.f64 (PI.f64) #s(literal -5/6 binary64))) (cos.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64))) (sin.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal -5/6 binary64))))))
(+ (cos (* 1/3 (+ (acos (* -1 (/ g h))) (* 2 (PI))))) (* (cos (* 1/3 (acos (* -1 (/ g h))))) (cos (* 2/3 (PI)))))
(fma.f64 (sin.f64 (.f64 (PI.f64) #s(literal -5/6 binary64))) (cos.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64))) (sin.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal -5/6 binary64)))))
(cos (* 1/3 (+ (acos (* -1 (/ g h))) (* 2 (PI)))))
(sin.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal -5/6 binary64))))

rewrite120.0ms (2.3%)

Memory

-23.1MiB live, 116.5MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	240
0	70	228
1	263	198
0	2232	197

Stop Event

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

Counts

16 → 202

Calls

Call 1

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

Outputs
(*.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))
(/.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (-.f64 (.f64 (PI.f64) #s(literal -1/3 binary64)) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))))
(/.f64 (-.f64 (.f64 #s(literal 1/27 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))) (pow.f64 (.f64 (PI.f64) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/9 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) (.f64 (PI.f64) #s(literal 1/3 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))) (.f64 #s(literal 1/9 binary64) (.f64 (PI.f64) (PI.f64))))) (neg.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 (PI.f64) #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (.f64 (PI.f64) #s(literal -1/3 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (PI.f64) #s(literal -1/3 binary64)) (-.f64 (.f64 (PI.f64) #s(literal -1/3 binary64)) (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (*.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))) (.f64 #s(literal 1/9 binary64) (.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 (PI.f64) #s(literal 1/3 binary64))))
(/.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (.f64 (PI.f64) #s(literal -1/3 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/9 binary64) (.f64 (PI.f64) (PI.f64)) (-.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))) (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 #s(literal 1/3 binary64) (.f64 (PI.f64) #s(literal -1/3 binary64)))))))
(/.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (.f64 (PI.f64) #s(literal -1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (PI.f64) #s(literal -1/3 binary64)) (-.f64 (.f64 (PI.f64) #s(literal -1/3 binary64)) (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))) (*.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))))
(fma.f64 (.f64 #s(literal -1/3 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
(fma.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)) (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal -1/3 binary64)) (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal -1/3 binary64)) (.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
(fma.f64 (PI.f64) #s(literal -1/3 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
(fma.f64 #s(literal -1/3 binary64) (PI.f64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal -1/3 binary64)))
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(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -3 binary64))) (cos.f64 (.f64 #s(literal -2/3 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 (.f64 #s(literal 2/3 binary64) (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))) #s(literal 2 binary64))) (cos.f64 (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (*.f64 #s(literal 2/3 binary64) (PI.f64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -3 binary64))) (cos.f64 (.f64 #s(literal -2/3 binary64) (PI.f64)))) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 (.f64 #s(literal 2/3 binary64) (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -3 binary64))) (cos.f64 (.f64 #s(literal -2/3 binary64) (PI.f64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (sin.f64 (.f64 #s(literal 2/3 binary64) (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -3 binary64))) (cos.f64 (.f64 #s(literal -2/3 binary64) (PI.f64)))) (.f64 (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))))))))
(/.f64 (-.f64 (.f64 (+.f64 (cos.f64 (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (.f64 #s(literal 2/3 binary64) (PI.f64)))) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal -3 binary64)))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (.f64 #s(literal 2/3 binary64) (PI.f64)))) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal -3 binary64)))))) #s(literal 4 binary64))
(/.f64 (-.f64 (+.f64 (cos.f64 (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (.f64 #s(literal 2/3 binary64) (PI.f64)))) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal -3 binary64)))) (-.f64 (cos.f64 (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (.f64 #s(literal 2/3 binary64) (PI.f64)))) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal -3 binary64))))) #s(literal 2 binary64))
(fma.f64 (sin.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal 3 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal -3 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -3 binary64))) (cos.f64 (.f64 #s(literal -2/3 binary64) (PI.f64))) (.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))))
(fma.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -3 binary64))) (cos.f64 (.f64 #s(literal -2/3 binary64) (PI.f64))) (.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -3 binary64))) (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))))
(fma.f64 (cos.f64 (.f64 #s(literal -2/3 binary64) (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -3 binary64))) (.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))))
(fma.f64 (cos.f64 (.f64 #s(literal -2/3 binary64) (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -3 binary64))) (.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -3 binary64))) (sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))))
(sin.f64 (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal -3 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 #s(literal 2/3 binary64) (PI.f64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))))
(-.f64 (.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -3 binary64))) (cos.f64 (.f64 #s(literal -2/3 binary64) (PI.f64)))) (.f64 (sin.f64 (.f64 #s(literal 2/3 binary64) (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))))
(cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal -3 binary64)))
(cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal 3 binary64)))
(+.f64 (.f64 (sin.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal 3 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal -3 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+.f64 (.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -3 binary64))) (cos.f64 (.f64 #s(literal -2/3 binary64) (PI.f64)))) (.f64 (neg.f64 (sin.f64 (.f64 #s(literal 2/3 binary64) (PI.f64)))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))))
(+.f64 (.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -3 binary64))) (cos.f64 (.f64 #s(literal -2/3 binary64) (PI.f64)))) (.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -3 binary64))) (sin.f64 (.f64 #s(literal 2/3 binary64) (PI.f64)))))
(.f64 (.f64 #s(literal -1/3 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal -1/3 binary64)))
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal -1/3 binary64)))
(*.f64 (PI.f64) #s(literal -1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (PI.f64))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal -1/3 binary64)))
(PI.f64)
(.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)) (.f64 (sqrt.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 #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 3 binary64)))
(*.f64 (PI.f64) #s(literal 2/3 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 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64))
(neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (PI.f64)) #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)))
(+.f64 (/.f64 (PI.f64) #s(literal 3 binary64)) (/.f64 (PI.f64) #s(literal 3 binary64)))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 2/3 binary64)))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (PI.f64) #s(literal 3 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 3 binary64)))))
(sin.f64 (*.f64 #s(literal 2/3 binary64) (PI.f64)))

eval44.0ms (0.9%)

Memory: -5.9MiB live, 87.0MiB allocated; 11ms collecting garbage
Compiler: Compiled 12 161 to 1 079 computations (91.1% saved)

prune7.0ms (0.1%)

Memory

20.8MiB live, 20.8MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	247	2	249
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	249	3	252

Accuracy

100.0%

Counts

252 → 3

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))))))

▶

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)))

▶

100.0%

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

Compiler

Compiled 88 to 76 computations (13.6% saved)

simplify169.0ms (3.2%)

Memory

-6.0MiB live, 145.8MiB allocated; 18ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	182
0	44	169
1	71	169
2	130	169
3	267	169
4	635	169
5	2361	164
6	6482	164
0	8361	163

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 #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))))))
(*.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)))))
#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(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)

Outputs
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.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))))))
#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 #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)))))
(.f64 (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #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))))
(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 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (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)
(/.f64 (PI.f64) #s(literal 2 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 (.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 (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))
(.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)))
(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 -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)

localize104.0ms (2%)

Memory

-22.1MiB live, 169.0MiB allocated; 11ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(PI.f64)
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	0.0234375	(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
accuracy	0.97265625	(*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal -1/3 binary64))
accuracy	0.0	#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.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))))))
accuracy	0.0234375	(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
accuracy	0.9609375	(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	0.96875	(fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))

Samples

83.0ms

256×

valid

Compiler

Compiled 158 to 28 computations (82.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

const: 24.0ms (35.9% of total)

ival-mult: 10.0ms (15% of total)

ival-cos: 9.0ms (13.5% of total)

ival-sin: 8.0ms (12% of total)

ival-div: 7.0ms (10.5% of total)

ival-add: 2.0ms (3% of total)

ival-acos: 2.0ms (3% of total)

ival-sub: 2.0ms (3% of total)

ival-pi: 1.0ms (1.5% of total)

exact: 1.0ms (1.5% of total)

ival-neg: 1.0ms (1.5% of total)

adjust: 0.0ms (0% of total)

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

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

series18.0ms (0.4%)

Memory

34.2MiB live, 34.2MiB allocated; 0ms collecting garbage

Counts

10 → 8

Calls

Call 1

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

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

Calls

6 calls:

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

simplify129.0ms (2.5%)

Memory

-1.8MiB live, 84.2MiB allocated; 19ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	103
1	61	103
2	120	103
3	201	103
4	332	103
5	760	87
6	4038	87
0	8378	85

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 8

Calls

Call 1

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

Outputs
(+ (* 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)))
(sin (+ (* 1/3 (- (acos (* -1 (/ g h))) (PI))) (* 1/2 (PI))))
(cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))
(* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))
(.f64 (cos.f64 (fma.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 #s(literal -5/3 binary64) (PI.f64)))) #s(literal -2 binary64))
(* -2 (sin (+ (* 1/3 (- (acos (* -1 (/ g h))) (PI))) (* 1/2 (PI)))))
(.f64 #s(literal -2 binary64) (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))))
(* -2 (cos (* -1/3 (- (acos (* -1 (/ g h))) (PI)))))
(.f64 #s(literal -2 binary64) (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 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))
(- (acos (* -1 (/ g h))) (PI))
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))

rewrite57.0ms (1.1%)

Memory

6.1MiB live, 48.8MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	140
0	44	127
1	153	127
0	1151	125

Stop Event

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

Counts

10 → 84

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 3 binary64)) #s(literal 1/27 binary64) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) (pow.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 3 binary64)) #s(literal 1/27 binary64) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (*.f64 #s(literal 1/3 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(/.f64 (fma.f64 (pow.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 3 binary64)) #s(literal 1/27 binary64) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) (pow.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))
(fma.f64 (neg.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) #s(literal -1/3 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))
(fma.f64 #s(literal -1/3 binary64) (neg.f64 (-.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)))
(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 (/.f64 (pow.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (neg.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) #s(literal 1/3 binary64)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))
(+.f64 (/.f64 (.f64 (pow.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) (pow.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) (pow.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))))
(+.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 0 binary64) (sin.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))) (.f64 #s(literal 0 binary64) (sin.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))))) (.f64 (.f64 #s(literal 1 binary64) (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))) (.f64 #s(literal 1 binary64) (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))))) (-.f64 (.f64 #s(literal 0 binary64) (sin.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))) (.f64 #s(literal 1 binary64) (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 0 binary64) (sin.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))) (.f64 #s(literal 0 binary64) (sin.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))) (-.f64 (.f64 (.f64 #s(literal 1 binary64) (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))) (.f64 #s(literal 1 binary64) (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))))) (.f64 (.f64 #s(literal 0 binary64) (sin.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))) (.f64 #s(literal 1 binary64) (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 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 #s(literal 1 binary64) (cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))))
(fma.f64 #s(literal 1 binary64) (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) (.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))))
(fma.f64 #s(literal 0 binary64) (sin.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) (.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))))
(fma.f64 (sin.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal 0 binary64) (.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))))
(fma.f64 (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 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 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (.f64 #s(literal 0 binary64) (sin.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))) (.f64 (neg.f64 (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))) #s(literal 1 binary64)))
(cos.f64 (neg.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))))
(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 (sin.f64 (.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) #s(literal 0 binary64)) (.f64 #s(literal 1 binary64) (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))))
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))) (.f64 #s(literal 0 binary64) (sin.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))))
(+.f64 (.f64 #s(literal 0 binary64) (sin.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))) (.f64 #s(literal 1 binary64) (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))))
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))))
(.f64 #s(literal -2 binary64) (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))))
(.f64 (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64))
(neg.f64 (.f64 (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(neg.f64 (.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 (.f64 #s(literal 0 binary64) (sin.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))) #s(literal -2 binary64) (.f64 (.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))) #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) (.f64 #s(literal 0 binary64) (sin.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))) (.f64 #s(literal -2 binary64) (.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))))))
(+.f64 (.f64 (.f64 #s(literal 0 binary64) (sin.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))) #s(literal -2 binary64)) (.f64 (.f64 #s(literal 1 binary64) (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))) #s(literal -2 binary64)))
(+.f64 (.f64 #s(literal -2 binary64) (.f64 #s(literal 0 binary64) (sin.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))))) (.f64 #s(literal -2 binary64) (.f64 #s(literal 1 binary64) (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))))))
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))))
(.f64 #s(literal -2 binary64) (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))))
(.f64 (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64))
(neg.f64 (.f64 (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(neg.f64 (.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 (.f64 #s(literal 0 binary64) (sin.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))) #s(literal -2 binary64) (.f64 (.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))) #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) (.f64 #s(literal 0 binary64) (sin.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))) (.f64 #s(literal -2 binary64) (.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))))))
(+.f64 (.f64 (.f64 #s(literal 0 binary64) (sin.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))) #s(literal -2 binary64)) (.f64 (.f64 #s(literal 1 binary64) (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))) #s(literal -2 binary64)))
(+.f64 (.f64 #s(literal -2 binary64) (.f64 #s(literal 0 binary64) (sin.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))))) (.f64 #s(literal -2 binary64) (.f64 #s(literal 1 binary64) (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 0 binary64) (sin.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))) (.f64 #s(literal 0 binary64) (sin.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))))) (.f64 (.f64 #s(literal 1 binary64) (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))) (.f64 #s(literal 1 binary64) (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))))) (-.f64 (.f64 #s(literal 0 binary64) (sin.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))) (.f64 #s(literal 1 binary64) (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 0 binary64) (sin.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))) (.f64 #s(literal 0 binary64) (sin.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))) (-.f64 (.f64 (.f64 #s(literal 1 binary64) (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))) (.f64 #s(literal 1 binary64) (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))))) (.f64 (.f64 #s(literal 0 binary64) (sin.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))) (.f64 #s(literal 1 binary64) (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 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 #s(literal 1 binary64) (cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))))
(fma.f64 #s(literal 1 binary64) (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) (.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))))
(fma.f64 #s(literal 0 binary64) (sin.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) (.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))))
(fma.f64 (sin.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal 0 binary64) (.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))))
(fma.f64 (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 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 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (.f64 #s(literal 0 binary64) (sin.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))) (.f64 (neg.f64 (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))) #s(literal 1 binary64)))
(cos.f64 (neg.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))))
(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 (sin.f64 (.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) #s(literal 0 binary64)) (.f64 #s(literal 1 binary64) (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))))
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))) (.f64 #s(literal 0 binary64) (sin.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))))
(+.f64 (.f64 #s(literal 0 binary64) (sin.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))) (.f64 #s(literal 1 binary64) (cos.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 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal -1/3 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 (neg.f64 (-.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 (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 (acos.f64 (/.f64 (neg.f64 g) h)) (neg.f64 (PI.f64)))
(PI.f64)

eval33.0ms (0.6%)

Memory: -25.1MiB live, 29.5MiB allocated; 11ms collecting garbage
Compiler: Compiled 3 458 to 381 computations (89% saved)

prune11.0ms (0.2%)

Memory

20.1MiB live, 20.1MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	78	1	79
Fresh	0	0	0
Picked	1	1	2
Done	0	1	1
Total	79	3	82

Accuracy

100.0%

Counts

82 → 3

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))))))

✓

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)))

▶

100.0%

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

Compiler

Compiled 102 to 82 computations (19.6% saved)

simplify168.0ms (3.2%)

Memory

-4.7MiB live, 125.4MiB allocated; 28ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	167
0	44	165
1	71	165
2	129	165
3	268	161
4	657	161
5	2350	150
6	6437	150
0	8304	141

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 #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)))))))
(.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(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)

Outputs
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (.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 (* 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 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (PI.f64))))) #s(literal -2 binary64)))
(.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))))))
(.f64 (sin.f64 #s(approx (+ ( 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (PI.f64))))) #s(literal -2 binary64))
#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)))))
(sin.f64 #s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 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))))
#s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 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)))
(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 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)

localize102.0ms (2%)

Memory

-1.4MiB live, 98.7MiB allocated; 21ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (.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)))))))
accuracy	0.0234375	(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
accuracy	0.9609375	(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	0.96875	(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)))

Samples

76.0ms

256×

valid

Compiler

Compiled 101 to 28 computations (72.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-sin: 21.0ms (32.4% of total)

ival-add: 10.0ms (15.4% of total)

ival-mult: 10.0ms (15.4% of total)

ival-div: 7.0ms (10.8% of total)

ival-cos: 7.0ms (10.8% of total)

const: 4.0ms (6.2% of total)

ival-acos: 2.0ms (3.1% of total)

ival-pi: 1.0ms (1.5% of total)

ival-sub: 1.0ms (1.5% of total)

exact: 1.0ms (1.5% of total)

ival-neg: 1.0ms (1.5% of total)

adjust: 0.0ms (0% of total)

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

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

series10.0ms (0.2%)

Memory

19.2MiB live, 19.2MiB allocated; 0ms collecting garbage

Counts

5 → 5

Calls

Call 1

Inputs
(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 (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (.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)))))))
(.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))))))
(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)))))
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	g	@	0	((+ (* (- (acos (/ (neg g) h)) (PI)) 1/3) (* 1/2 (PI))) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* -2 (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)))) (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) (- (acos (/ (neg g) h)) (PI)))
2.0ms	h	@	inf	((+ (* (- (acos (/ (neg g) h)) (PI)) 1/3) (* 1/2 (PI))) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* -2 (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)))) (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) (- (acos (/ (neg g) h)) (PI)))
1.0ms	g	@	inf	((+ (* (- (acos (/ (neg g) h)) (PI)) 1/3) (* 1/2 (PI))) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* -2 (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)))) (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) (- (acos (/ (neg g) h)) (PI)))
1.0ms	g	@	-inf	((+ (* (- (acos (/ (neg g) h)) (PI)) 1/3) (* 1/2 (PI))) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* -2 (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)))) (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) (- (acos (/ (neg g) h)) (PI)))
1.0ms	h	@	-inf	((+ (* (- (acos (/ (neg g) h)) (PI)) 1/3) (* 1/2 (PI))) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* -2 (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)))) (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) (- (acos (/ (neg g) h)) (PI)))

simplify160.0ms (3.1%)

Memory

-11.0MiB live, 137.8MiB allocated; 44ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	64
1	51	64
2	101	64
3	175	64
4	306	64
5	725	64
6	3979	56
0	8299	54

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 5

Calls

Call 1

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

Outputs
(+ (* 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)))) (* 2/3 (PI)))))
(.f64 (cos.f64 (fma.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 #s(literal -5/3 binary64) (PI.f64)))) #s(literal -2 binary64))
(* -2 (sin (+ (* 1/3 (- (acos (* -1 (/ g h))) (PI))) (* 1/2 (PI)))))
(.f64 (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64))
(sin (+ (* 1/3 (- (acos (* -1 (/ g h))) (PI))) (* 1/2 (PI))))
(cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))
(- (acos (* -1 (/ g h))) (PI))
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))

rewrite59.0ms (1.1%)

Memory

-12.7MiB live, 79.8MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	121
0	44	119
1	163	119
0	1225	115

Stop Event

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

Counts

5 → 38

Calls

Call 1

Inputs
(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 (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (.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)))))))
(.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))))))
(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)))))
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))

Outputs
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) #s(literal 2 binary64))) (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))))
(/.f64 (-.f64 (.f64 #s(literal 1/27 binary64) (pow.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 3 binary64))) (pow.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))))) (neg.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (.f64 #s(literal -1/2 binary64) (PI.f64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) (pow.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 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (.f64 #s(literal -1/2 binary64) (PI.f64))))
(/.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (-.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) #s(literal 2 binary64)) (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (.f64 #s(literal 1/3 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(/.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) (pow.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) #s(literal 2 binary64))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)) (.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))
(fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (.f64 #s(literal -1/2 binary64) (PI.f64)))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (*.f64 #s(literal -1/2 binary64) (PI.f64)))))
(-.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) (.f64 (neg.f64 (PI.f64)) #s(literal 1/2 binary64)))
(-.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) (.f64 #s(literal -1/2 binary64) (PI.f64)))
(-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal -1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))
(-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (neg.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) #s(literal 1/3 binary64)))
(+.f64 (/.f64 (.f64 #s(literal 1/27 binary64) (pow.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 3 binary64))) (fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) (pow.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)))) (pow.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))) (.f64 (PI.f64) #s(literal 1/2 binary64)))
(+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))))
#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 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))
(.f64 (sin.f64 #s(approx (+ ( 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) #s(literal -2 binary64))
(.f64 #s(literal -2 binary64) (sin.f64 #s(approx (+ ( 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(neg.f64 (.f64 (sin.f64 #s(approx (+ ( 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(neg.f64 (.f64 #s(literal 2 binary64) (sin.f64 #s(approx (+ ( 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(sin.f64 #s(approx (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(/.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 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))))
(/.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 (acos.f64 (/.f64 (neg.f64 g) h)) (neg.f64 (PI.f64)))

eval7.0ms (0.1%)

Memory: 16.6MiB live, 16.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 435 to 304 computations (87.5% saved)

prune10.0ms (0.2%)

Memory

-24.2MiB live, 21.5MiB allocated; 3ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	43	3	46

Accuracy

100.0%

Counts

46 → 3

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))))))

✓

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)))

✓

100.0%

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

Compiler

Compiled 321 to 155 computations (51.7% saved)

regimes25.0ms (0.5%)

Memory

5.5MiB live, 59.7MiB allocated; 4ms collecting garbage

Counts

7 → 1

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

Outputs

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

Calls

9 calls:

8.0ms	(/.f64 (neg.f64 g) h)
2.0ms	h
2.0ms	(neg.f64 g)
2.0ms	g
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)

regimes14.0ms (0.3%)

Memory

-3.8MiB live, 43.3MiB allocated; 1ms collecting garbage

Accuracy

Total -0.0b remaining (-2.9%)

Threshold costs -0b (-2.9%)

Counts

3 → 1

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)))

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

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

Calls

9 calls:

3.0ms	(/.f64 (neg.f64 g) h)
1.0ms	h
1.0ms	(neg.f64 g)
1.0ms	g
1.0ms	(+.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
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)

simplify47.0ms (0.9%)

Memory

16.7MiB live, 61.9MiB allocated; 5ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	71
1	65	71
2	120	71
3	256	71
4	697	71
5	4074	71

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

Outputs

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

derivations525.0ms (10%)

Memory

16.0MiB live, 494.5MiB allocated; 45ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	152
1	98	148
2	267	148
3	672	148
4	1762	138
5	6295	138
0	8092	136
0	15	44
1	35	44
2	75	44
3	136	44
4	247	44
5	674	44
6	3834	44
0	8147	41
0	27	103
1	61	103
2	120	103
3	201	103
4	332	103
5	760	87
6	4038	87
0	8378	85
0	44	240
0	70	228
1	263	198
0	2232	197

Stop Event

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

Compiler

Compiled 75 to 38 computations (49.3% saved)

preprocess23.0ms (0.4%)

Memory: 0.2MiB live, 45.7MiB allocated; 2ms collecting garbage
Compiler: Compiled 182 to 104 computations (42.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze138.0ms (2.6%)

sample1.8s (34%)

explain198.0ms (3.8%)

preprocess221.0ms (4.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify169.0ms (3.2%)

localize45.0ms (0.9%)

series46.0ms (0.9%)

simplify124.0ms (2.4%)

rewrite80.0ms (1.5%)

eval12.0ms (0.2%)

prune7.0ms (0.1%)

simplify178.0ms (3.4%)

localize193.0ms (3.7%)

series38.0ms (0.7%)

simplify160.0ms (3.1%)

rewrite120.0ms (2.3%)

eval44.0ms (0.9%)

prune7.0ms (0.1%)

simplify169.0ms (3.2%)

localize104.0ms (2%)

series18.0ms (0.4%)

simplify129.0ms (2.5%)

rewrite57.0ms (1.1%)

eval33.0ms (0.6%)

prune11.0ms (0.2%)

simplify168.0ms (3.2%)

localize102.0ms (2%)

series10.0ms (0.2%)

simplify160.0ms (3.1%)

rewrite59.0ms (1.1%)

eval7.0ms (0.1%)

prune10.0ms (0.2%)

regimes25.0ms (0.5%)

regimes14.0ms (0.3%)

simplify47.0ms (0.9%)

derivations525.0ms (10%)

preprocess23.0ms (0.4%)

end0.0ms (0%)

Profiling