Metrics for 2-ancestry mixing, negative discriminant

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze120.0ms (2.1%)

Memory

1.0MiB live, 248.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 18 to 16 computations (11.1% saved)

sample1.7s (29.4%)

Memory

33.7MiB live, 2 374.0MiB allocated

Samples

1.2s	8 256×	0	valid
148.0ms	1 085×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-cos: 454.0ms (41.4% of total)

ival-div: 188.0ms (17.1% of total)

ival-mult: 180.0ms (16.4% of total)

ival-acos: 106.0ms (9.7% of total)

ival-neg: 55.0ms (5% of total)

ival-pi: 48.0ms (4.4% of total)

ival-add: 46.0ms (4.2% of total)

exact: 10.0ms (0.9% of total)

ival-true: 7.0ms (0.6% of total)

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

Bogosity

explain166.0ms (2.9%)

Memory

3.0MiB live, 389.3MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

65.0ms

512×

valid

Compiler

Compiled 168 to 46 computations (72.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-cos: 14.0ms (30.2% of total)

ival-div: 10.0ms (21.5% of total)

ival-mult: 7.0ms (15.1% of total)

ival-acos: 5.0ms (10.8% of total)

ival-neg: 4.0ms (8.6% of total)

ival-pi: 3.0ms (6.5% of total)

ival-add: 2.0ms (4.3% of total)

exact: 1.0ms (2.2% of total)

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

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

preprocess155.0ms (2.7%)

Memory

12.9MiB live, 197.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 16 to 14 computations (12.5% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 16 to 14 computations (12.5% saved)

simplify120.0ms (2.1%)

Memory

7.8MiB live, 158.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize45.0ms (0.8%)

Memory

-32.8MiB live, 57.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.96875	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))
accuracy	0.984375	(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

32.0ms

256×

valid

Compiler

Compiled 76 to 16 computations (78.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-cos: 7.0ms (33.2% of total)

ival-div: 5.0ms (23.7% of total)

ival-mult: 3.0ms (14.2% of total)

ival-acos: 2.0ms (9.5% of total)

ival-pi: 1.0ms (4.7% of total)

ival-add: 1.0ms (4.7% of total)

ival-neg: 1.0ms (4.7% of total)

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

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

exact: 0.0ms (0% of total)

series9.0ms (0.2%)

Memory

11.1MiB live, 11.1MiB allocated

Counts

5 → 4

Calls

Call 1

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

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

Calls

6 calls:

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

simplify135.0ms (2.4%)

Memory

29.3MiB live, 163.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 4

Calls

Call 1

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

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

rewrite149.0ms (2.6%)

Memory

-27.2MiB live, 161.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 119

Calls

Call 1

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

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

eval19.0ms (0.3%)

Memory: 36.9MiB live, 36.9MiB allocated
Compiler: Compiled 3 918 to 596 computations (84.8% saved)

prune4.0ms (0.1%)

Memory

8.1MiB live, 8.1MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Accuracy

98.5%

Counts

122 → 3

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

1.6%

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

▶

98.5%

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

▶

98.5%

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

Compiler

Compiled 67 to 60 computations (10.4% saved)

simplify134.0ms (2.3%)

Memory

0.9MiB live, 192.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize128.0ms (2.2%)

Memory

-74.7MiB live, 270.7MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 g)
accuracy	0.0	(acos.f64 (/.f64 (neg.f64 g) h))
accuracy	0.015625	(cos.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64)))
accuracy	0.97265625	(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) #s(literal 0 binary64))
accuracy	0.0	#s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64))))
accuracy	0.02734375	(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64)))
accuracy	0.984375	(cos.f64 #s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 2/3 binary64)))))
accuracy	1.0	(*.f64 (PI.f64) #s(literal 2/3 binary64))
accuracy	0.0	#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (.f64 (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)))
accuracy	0.00390625	(cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64)))
accuracy	0.0234375	(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
accuracy	0.96484375	(*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64))

Samples

110.0ms

256×

valid

Compiler

Compiled 193 to 30 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

const: 31.0ms (34.4% of total)

ival-mult: 30.0ms (33.3% of total)

ival-cos: 15.0ms (16.7% of total)

ival-div: 5.0ms (5.6% of total)

ival-add: 3.0ms (3.3% of total)

ival-acos: 2.0ms (2.2% of total)

ival-pi: 1.0ms (1.1% of total)

ival-sub: 1.0ms (1.1% of total)

exact: 1.0ms (1.1% of total)

ival-neg: 1.0ms (1.1% of total)

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

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

series21.0ms (0.4%)

Memory

7.6MiB live, 63.7MiB allocated

Counts

15 → 12

Calls

Call 1

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

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

Calls

6 calls:

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

simplify126.0ms (2.2%)

Memory

-14.5MiB live, 175.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 12

Calls

Call 1

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

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

rewrite205.0ms (3.6%)

Memory

2.9MiB live, 327.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

15 → 795

Calls

Call 1

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

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

eval258.0ms (4.5%)

Memory: -14.6MiB live, 224.6MiB allocated
Compiler: Compiled 35 662 to 3 465 computations (90.3% saved)

prune51.0ms (0.9%)

Memory

2.8MiB live, 49.1MiB allocated

Pruning

5 alts after pruning (3 fresh and 2 done)

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

Accuracy

100.0%

Counts

836 → 5

Alt Table

Click to see full alt table

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

Compiler

Compiled 128 to 111 computations (13.3% saved)

simplify168.0ms (2.9%)

Memory

19.9MiB live, 109.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize149.0ms (2.6%)

Memory

11.6MiB live, 117.6MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 g)
accuracy	0.0	(acos.f64 (/.f64 (neg.f64 g) h))
accuracy	0.015625	(cos.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
accuracy	0.97265625	(*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
accuracy	0.0	#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -2 binary64)))
accuracy	0.0234375	(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
accuracy	0.96484375	(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	0.9765625	(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	0.00390625	(cos.f64 (*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64)))
accuracy	0.0234375	(-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64))
accuracy	0.0234375	(-.f64 (PI.f64) (acos.f64 (/.f64 g h)))
accuracy	0.96484375	(*.f64 (-.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g h))) (PI.f64)) #s(literal 1/3 binary64))

Samples

130.0ms

256×

valid

Compiler

Compiled 204 to 35 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 105.0ms

ival-cos: 36.0ms (34.3% of total)

ival-acos: 25.0ms (23.8% of total)

ival-mult: 12.0ms (11.4% of total)

ival-div: 8.0ms (7.6% of total)

ival-sin: 8.0ms (7.6% of total)

const: 7.0ms (6.7% of total)

ival-sub: 3.0ms (2.9% of total)

ival-add: 2.0ms (1.9% of total)

ival-pi: 1.0ms (1% of total)

ival-neg: 1.0ms (1% of total)

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

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

exact: 0.0ms (0% of total)

series40.0ms (0.7%)

Memory

-23.6MiB live, 22.2MiB allocated

Counts

16 → 15

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
18.0ms	g	@	-inf	((- (- (PI) (acos (/ g h))) (PI)) (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) -2) (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) -2) (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (* (cos (* -1/3 (acos (/ (neg g) h)))) 2) (cos (* -1/3 (acos (/ (neg g) h)))) (* -1/3 (acos (/ (neg g) h))) (acos (/ (neg g) h)) (- (PI) (acos (/ g h))) (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) (- (acos (/ (neg g) h)) (PI)) (neg g))
7.0ms	g	@	0	((- (- (PI) (acos (/ g h))) (PI)) (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) -2) (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) -2) (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (* (cos (* -1/3 (acos (/ (neg g) h)))) 2) (cos (* -1/3 (acos (/ (neg g) h)))) (* -1/3 (acos (/ (neg g) h))) (acos (/ (neg g) h)) (- (PI) (acos (/ g h))) (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) (- (acos (/ (neg g) h)) (PI)) (neg g))
4.0ms	g	@	inf	((- (- (PI) (acos (/ g h))) (PI)) (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) -2) (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) -2) (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (* (cos (* -1/3 (acos (/ (neg g) h)))) 2) (cos (* -1/3 (acos (/ (neg g) h)))) (* -1/3 (acos (/ (neg g) h))) (acos (/ (neg g) h)) (- (PI) (acos (/ g h))) (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) (- (acos (/ (neg g) h)) (PI)) (neg g))
4.0ms	h	@	inf	((- (- (PI) (acos (/ g h))) (PI)) (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) -2) (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) -2) (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (* (cos (* -1/3 (acos (/ (neg g) h)))) 2) (cos (* -1/3 (acos (/ (neg g) h)))) (* -1/3 (acos (/ (neg g) h))) (acos (/ (neg g) h)) (- (PI) (acos (/ g h))) (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) (- (acos (/ (neg g) h)) (PI)) (neg g))
3.0ms	h	@	-inf	((- (- (PI) (acos (/ g h))) (PI)) (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) -2) (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (* (sin (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2))) -2) (+ (* 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (* (cos (* -1/3 (acos (/ (neg g) h)))) 2) (cos (* -1/3 (acos (/ (neg g) h)))) (* -1/3 (acos (/ (neg g) h))) (acos (/ (neg g) h)) (- (PI) (acos (/ g h))) (cos (* (- (- (PI) (acos (/ g h))) (PI)) 1/3)) (- (acos (/ (neg g) h)) (PI)) (neg g))

simplify148.0ms (2.6%)

Memory

33.5MiB live, 78.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 15

Calls

Call 1

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

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

rewrite213.0ms (3.7%)

Memory

-18.2MiB live, 121.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

16 → 274

Calls

Call 1

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

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

eval33.0ms (0.6%)

Memory: 27.8MiB live, 27.8MiB allocated
Compiler: Compiled 12 407 to 1 253 computations (89.9% saved)

prune49.0ms (0.9%)

Memory

-34.2MiB live, 11.3MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	220	3	223
Fresh	0	0	0
Picked	3	0	3
Done	2	0	2
Total	225	3	228

Accuracy

100.0%

Counts

228 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

▶

100.0%

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

▶

98.5%

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

▶

98.5%

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

Compiler

Compiled 113 to 87 computations (23% saved)

simplify140.0ms (2.4%)

Memory

2.0MiB live, 65.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	366
0	75	356
1	115	356
2	179	340
3	285	332
4	451	325
5	583	325
6	677	325
7	877	325
8	953	325
9	1361	325
10	3332	325
11	6519	325
0	8355	318

Stop Event

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

Calls

Call 1

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

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

localize139.0ms (2.4%)

Memory

24.1MiB live, 115.4MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (.f64 (sin.f64 #s(approx (+ ( 1/3 (- (acos (/ (neg g) h)) (PI))) (/ (PI) 2)) (fma.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -2 binary64)))
accuracy	0.0234375	(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64))
accuracy	0.96484375	(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	0.9765625	(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	0.00390625	(cos.f64 (*.f64 (-.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64))) #s(literal 1/3 binary64)))
accuracy	0.0078125	(+.f64 (acos.f64 (/.f64 g h)) (PI.f64))
accuracy	0.03810502930532605	(-.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64)))
accuracy	0.96484375	(*.f64 (-.f64 (PI.f64) (+.f64 (acos.f64 (/.f64 g h)) (PI.f64))) #s(literal 1/3 binary64))
accuracy	0.0	#s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))
accuracy	0.0	#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (.f64 (cos.f64 #s(approx ( (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h))))) #s(literal -2 binary64)))
accuracy	0.00390625	(cos.f64 #s(approx (* (- (- (PI) (acos (/ g h))) (PI)) 1/3) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h)))))
accuracy	0.96484375	(*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 g h)))

Samples

118.0ms

256×

valid

Compiler

Compiled 244 to 42 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 101.0ms

ival-mult: 37.0ms (36.5% of total)

ival-sub: 19.0ms (18.8% of total)

ival-cos: 11.0ms (10.9% of total)

ival-div: 8.0ms (7.9% of total)

ival-sin: 8.0ms (7.9% of total)

const: 6.0ms (5.9% of total)

ival-add: 4.0ms (4% of total)

ival-acos: 4.0ms (4% of total)

ival-pi: 1.0ms (1% of total)

exact: 1.0ms (1% of total)

ival-neg: 1.0ms (1% of total)

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

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

series20.0ms (0.4%)

Memory

-18.6MiB live, 25.5MiB allocated

Counts

17 → 10

Calls

Call 1

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

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

Calls

6 calls:

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

simplify164.0ms (2.9%)

Memory

-11.4MiB live, 91.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	97
1	67	97
2	120	97
3	187	97
4	267	97
5	306	97
6	351	97
7	429	97
8	500	97
9	874	97
10	2418	95
11	5679	95
12	7919	95
0	8699	92

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 10

Calls

Call 1

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

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

rewrite202.0ms (3.5%)

Memory

22.3MiB live, 114.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	323
0	75	308
1	258	308
2	1691	308
0	8882	301

Stop Event

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

Counts

17 → 226

Calls

Call 1

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

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

eval67.0ms (1.2%)

Memory: -9.0MiB live, 43.2MiB allocated
Compiler: Compiled 11 829 to 1 323 computations (88.8% saved)

prune57.0ms (1%)

Memory

-29.2MiB live, 18.0MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	202	0	202
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	202	3	205

Accuracy

100.0%

Counts

205 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

100.0%

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

✓

98.5%

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

✓

98.5%

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

Compiler

Compiled 381 to 175 computations (54.1% saved)

regimes25.0ms (0.4%)

Memory

25.7MiB live, 25.7MiB allocated

Counts

10 → 1

Calls

Call 1

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

Outputs

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

Calls

9 calls:

3.0ms	g
3.0ms	(neg.f64 g)
3.0ms	h
3.0ms	(/.f64 (neg.f64 g) h)
2.0ms	(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	`g`
100.0%	1	`h`
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	`(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 (/.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 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))`
100.0%	1	`(acos.f64 (/.f64 (neg.f64 g) h))`
100.0%	1	`(/.f64 (neg.f64 g) h)`
100.0%	1	`(neg.f64 g)`

Compiler

Compiled 63 to 62 computations (1.6% saved)

regimes24.0ms (0.4%)

Memory

-24.7MiB live, 22.5MiB allocated

Accuracy

Total -62.0b remaining (-6429.5%)

Threshold costs -62b (-6429.5%)

Counts

7 → 1

Calls

Call 1

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

Outputs

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

Calls

9 calls:

7.0ms	h
2.0ms	(neg.f64 g)
2.0ms	g
2.0ms	(/.f64 (neg.f64 g) h)
2.0ms	(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))))

Results

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

Compiler

Compiled 63 to 62 computations (1.6% saved)

simplify35.0ms (0.6%)

Memory

21.4MiB live, 21.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

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

Outputs

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

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

soundness499.0ms (8.7%)

Memory

-14.7MiB live, 170.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Compiler

Compiled 141 to 100 computations (29.1% saved)

preprocess22.0ms (0.4%)

Memory: 37.7MiB live, 37.7MiB allocated
Compiler: Compiled 198 to 120 computations (39.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze120.0ms (2.1%)

sample1.7s (29.4%)

explain166.0ms (2.9%)

preprocess155.0ms (2.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify120.0ms (2.1%)

localize45.0ms (0.8%)

series9.0ms (0.2%)

simplify135.0ms (2.4%)

rewrite149.0ms (2.6%)

eval19.0ms (0.3%)

prune4.0ms (0.1%)

simplify134.0ms (2.3%)

localize128.0ms (2.2%)

series21.0ms (0.4%)

simplify126.0ms (2.2%)

rewrite205.0ms (3.6%)

eval258.0ms (4.5%)

prune51.0ms (0.9%)

simplify168.0ms (2.9%)

localize149.0ms (2.6%)

series40.0ms (0.7%)

simplify148.0ms (2.6%)

rewrite213.0ms (3.7%)

eval33.0ms (0.6%)

prune49.0ms (0.9%)

simplify140.0ms (2.4%)

localize139.0ms (2.4%)

series20.0ms (0.4%)

simplify164.0ms (2.9%)

rewrite202.0ms (3.5%)

eval67.0ms (1.2%)

prune57.0ms (1%)

regimes25.0ms (0.4%)

regimes24.0ms (0.4%)

simplify35.0ms (0.6%)

soundness499.0ms (8.7%)

preprocess22.0ms (0.4%)

end0.0ms (0%)

Profiling