Metrics for 2-ancestry mixing, negative discriminant

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze107.0ms (2%)

Memory

-1.4MiB live, 191.0MiB allocated; 32ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 18 to 16 computations (11.1% saved)

sample3.0s (56.8%)

Memory

-267.2MiB live, 3 847.5MiB allocated; 2.1s collecting garbage

Samples

2.4s	8 256×	0	valid
201.0ms	1 115×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-div: 359.0ms (29.2% of total)

ival-cos: 323.0ms (26.3% of total)

ival-mult: 254.0ms (20.7% of total)

ival-acos: 83.0ms (6.8% of total)

ival-pi: 82.0ms (6.7% of total)

ival-add: 51.0ms (4.2% of total)

ival-neg: 51.0ms (4.2% of total)

exact: 11.0ms (0.9% of total)

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

ival-assert: 4.0ms (0.3% of total)

adjust: 3.0ms (0.2% of total)

Bogosity

explain207.0ms (3.9%)

Memory

8.7MiB live, 1 162.6MiB allocated; 45ms collecting garbage

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

81.0ms

512×

valid

Compiler

Compiled 168 to 46 computations (72.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-cos: 18.0ms (31.2% of total)

ival-div: 13.0ms (22.5% of total)

ival-acos: 10.0ms (17.3% of total)

ival-mult: 8.0ms (13.9% of total)

ival-add: 3.0ms (5.2% of total)

ival-neg: 3.0ms (5.2% of total)

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

exact: 1.0ms (1.7% of total)

adjust: 0.0ms (0% of total)

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

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

preprocess217.0ms (4.1%)

Memory

23.9MiB live, 400.4MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	66
1	79	66
2	166	66
3	415	66
4	1155	62
5	4522	61
0	14	16
0	24	14
1	42	14
2	86	14
3	207	14
4	546	14
5	2054	14
6	6535	14
0	8348	13

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 16 to 14 computations (12.5% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

4.5MiB live, 4.5MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Compiler

Compiled 16 to 14 computations (12.5% saved)

simplify181.0ms (3.5%)

Memory

5.9MiB live, 299.2MiB allocated; 23ms collecting garbage

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	74
0	24	68
1	42	66
2	86	66
3	207	66
4	546	66
5	2054	66
6	6535	66
0	8348	63

Stop Event

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

Calls

Call 1

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

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

localize49.0ms (0.9%)

Memory

-31.1MiB live, 113.5MiB allocated; 10ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.953125	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))
accuracy	0.9609375	(cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))))
accuracy	0.98046875	(+.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

39.0ms

256×

valid

Compiler

Compiled 76 to 16 computations (78.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-cos: 13.0ms (46.2% of total)

ival-div: 5.0ms (17.8% of total)

ival-mult: 4.0ms (14.2% of total)

ival-acos: 2.0ms (7.1% of total)

ival-pi: 1.0ms (3.6% of total)

ival-add: 1.0ms (3.6% of total)

ival-neg: 1.0ms (3.6% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series9.0ms (0.2%)

Memory

14.2MiB live, 14.2MiB allocated; 0ms collecting garbage

Counts

5 → 4

Calls

Call 1

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

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

simplify157.0ms (3%)

Memory

29.1MiB live, 154.1MiB allocated; 65ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	92
1	64	92
2	145	92
3	322	92
4	807	92
5	3142	92
6	7768	92
0	8044	86

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 4

Calls

Call 1

Inputs
#s(approx (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)) #s(hole binary64 (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) #s(hole binary64 (* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))))
#s(approx (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) #s(hole binary64 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))))
#s(approx (/ (acos (/ (neg g) h)) 3) #s(hole binary64 (* 1/3 (acos (* -1 (/ g h))))))

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

rewrite91.0ms (1.7%)

Memory

-11.8MiB live, 88.4MiB allocated; 64ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 74

Calls

Call 1

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

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

eval20.0ms (0.4%)

Memory: -21.9MiB live, 23.3MiB allocated; 17ms collecting garbage
Compiler: Compiled 2 191 to 379 computations (82.7% saved)

prune2.0ms (0%)

Memory

5.8MiB live, 5.8MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	76	2	78
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	2	79

Accuracy

100.0%

Counts

79 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.5%	(*.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))
▶	100.0%	(.f64 #s(literal 2 binary64) #s(approx (cos (+ (/ ( 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin.f64 (fma.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal -1/6 binary64) (PI.f64))))))

Status

Accuracy

Program

▶

98.5%

(*.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))

▶

100.0%

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

Compiler

Compiled 41 to 37 computations (9.8% saved)

simplify160.0ms (3%)

Memory

27.2MiB live, 220.9MiB allocated; 34ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 (PI.f64) #s(literal 2 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
cost-diff	0	(/.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal 3 binary64))
cost-diff	0	(cos.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal 3 binary64)))
cost-diff	0	(*.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))
cost-diff	0	(fma.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal -1/6 binary64) (PI.f64)))
cost-diff	0	(sin.f64 (fma.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal -1/6 binary64) (PI.f64))))
cost-diff	0	#s(approx (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin.f64 (fma.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal -1/6 binary64) (PI.f64)))))
cost-diff	0	(.f64 #s(literal 2 binary64) #s(approx (cos (+ (/ ( 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin.f64 (fma.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal -1/6 binary64) (PI.f64))))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	153
0	42	147
1	75	147
2	141	147
3	308	147
4	732	147
5	2617	147
6	7359	147
0	8043	147

Stop Event

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

Calls

Call 1

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

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

localize130.0ms (2.5%)

Memory

-25.1MiB live, 291.2MiB allocated; 34ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(PI.f64)
accuracy	0.00390625	(fma.f64 (PI.f64) #s(literal 2 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
accuracy	0.00390625	(/.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal 3 binary64))
accuracy	0.9609375	(cos.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) #s(literal 3 binary64)))
accuracy	0.0	#s(approx (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin.f64 (fma.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal -1/6 binary64) (PI.f64)))))
accuracy	0.015625	(fma.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal -1/6 binary64) (PI.f64)))
accuracy	0.953125	(sin.f64 (fma.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal -1/6 binary64) (PI.f64))))
accuracy	1.0	(*.f64 #s(literal -1/6 binary64) (PI.f64))

Samples

115.0ms

256×

valid

Compiler

Compiled 137 to 27 computations (80.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-cos: 17.0ms (22.1% of total)

ival-add: 15.0ms (19.5% of total)

ival-mult: 15.0ms (19.5% of total)

const: 9.0ms (11.7% of total)

ival-sin: 8.0ms (10.4% of total)

ival-div: 7.0ms (9.1% of total)

ival-acos: 2.0ms (2.6% of total)

ival-pi: 1.0ms (1.3% of total)

ival-neg: 1.0ms (1.3% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series21.0ms (0.4%)

Memory

-1.9MiB live, 45.3MiB allocated; 2ms collecting garbage

Counts

10 → 8

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	g	@	0	((* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin (+ (* -1/3 (acos (/ (neg g) h))) (* -1/6 (PI)))) (+ (* -1/3 (acos (/ (neg g) h))) (* -1/6 (PI))) (* (cos (/ (+ (* (PI) 2) (acos (/ (neg g) h))) 3)) 2) (cos (/ (+ (* (PI) 2) (acos (/ (neg g) h))) 3)) (/ (+ (* (PI) 2) (acos (/ (neg g) h))) 3) (+ (* (PI) 2) (acos (/ (neg g) h))) (* -1/6 (PI)) (PI))
4.0ms	g	@	inf	((* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin (+ (* -1/3 (acos (/ (neg g) h))) (* -1/6 (PI)))) (+ (* -1/3 (acos (/ (neg g) h))) (* -1/6 (PI))) (* (cos (/ (+ (* (PI) 2) (acos (/ (neg g) h))) 3)) 2) (cos (/ (+ (* (PI) 2) (acos (/ (neg g) h))) 3)) (/ (+ (* (PI) 2) (acos (/ (neg g) h))) 3) (+ (* (PI) 2) (acos (/ (neg g) h))) (* -1/6 (PI)) (PI))
3.0ms	h	@	inf	((* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin (+ (* -1/3 (acos (/ (neg g) h))) (* -1/6 (PI)))) (+ (* -1/3 (acos (/ (neg g) h))) (* -1/6 (PI))) (* (cos (/ (+ (* (PI) 2) (acos (/ (neg g) h))) 3)) 2) (cos (/ (+ (* (PI) 2) (acos (/ (neg g) h))) 3)) (/ (+ (* (PI) 2) (acos (/ (neg g) h))) 3) (+ (* (PI) 2) (acos (/ (neg g) h))) (* -1/6 (PI)) (PI))
3.0ms	g	@	-inf	((* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin (+ (* -1/3 (acos (/ (neg g) h))) (* -1/6 (PI)))) (+ (* -1/3 (acos (/ (neg g) h))) (* -1/6 (PI))) (* (cos (/ (+ (* (PI) 2) (acos (/ (neg g) h))) 3)) 2) (cos (/ (+ (* (PI) 2) (acos (/ (neg g) h))) 3)) (/ (+ (* (PI) 2) (acos (/ (neg g) h))) 3) (+ (* (PI) 2) (acos (/ (neg g) h))) (* -1/6 (PI)) (PI))
3.0ms	h	@	-inf	((* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin (+ (* -1/3 (acos (/ (neg g) h))) (* -1/6 (PI)))) (+ (* -1/3 (acos (/ (neg g) h))) (* -1/6 (PI))) (* (cos (/ (+ (* (PI) 2) (acos (/ (neg g) h))) 3)) 2) (cos (/ (+ (* (PI) 2) (acos (/ (neg g) h))) 3)) (/ (+ (* (PI) 2) (acos (/ (neg g) h))) 3) (+ (* (PI) 2) (acos (/ (neg g) h))) (* -1/6 (PI)) (PI))

simplify124.0ms (2.4%)

Memory

-28.2MiB live, 158.4MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	198
1	126	198
2	257	198
3	624	198
4	1594	198
5	5024	198
0	8049	182

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 8

Calls

Call 1

Inputs
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) #s(hole binary64 (* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))))
#s(approx (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) #s(hole binary64 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))))
#s(approx (sin (+ (* -1/3 (acos (/ (neg g) h))) (* -1/6 (PI)))) #s(hole binary64 (sin (+ (* -1/3 (acos (* -1 (/ g h)))) (* -1/6 (PI))))))
#s(approx (+ (* -1/3 (acos (/ (neg g) h))) (* -1/6 (PI))) #s(hole binary64 (+ (* -1/3 (acos (* -1 (/ g h)))) (* -1/6 (PI)))))
#s(approx (* (cos (/ (+ (* (PI) 2) (acos (/ (neg g) h))) 3)) 2) #s(hole binary64 (* 2 (cos (* 1/3 (+ (acos (* -1 (/ g h))) (* 2 (PI))))))))
#s(approx (cos (/ (+ (* (PI) 2) (acos (/ (neg g) h))) 3)) #s(hole binary64 (cos (* 1/3 (+ (acos (* -1 (/ g h))) (* 2 (PI)))))))
#s(approx (/ (+ (* (PI) 2) (acos (/ (neg g) h))) 3) #s(hole binary64 (* 1/3 (+ (acos (* -1 (/ g h))) (* 2 (PI))))))
#s(approx (+ (* (PI) 2) (acos (/ (neg g) h))) #s(hole binary64 (+ (acos (* -1 (/ g h))) (* 2 (PI)))))

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

rewrite71.0ms (1.4%)

Memory

40.8MiB live, 86.4MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	121
0	42	115
1	159	115
0	1079	115

Stop Event

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

Counts

10 → 125

Calls

Call 1

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

Outputs
(.f64 #s(approx (cos (+ (/ ( 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal -1/6 binary64))))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) #s(approx (cos (+ (/ ( 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal -1/6 binary64))))))
(/.f64 (-.f64 (.f64 #s(approx (cos (+ (/ ( 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64) (.f64 (PI.f64) #s(literal -1/6 binary64))))) #s(approx (cos (+ (/ ( 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64) (.f64 (PI.f64) #s(literal -1/6 binary64)))))) (.f64 #s(approx (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64) (.f64 (PI.f64) #s(literal -1/6 binary64))))) #s(approx (cos (+ (/ ( 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64) (.f64 (PI.f64) #s(literal -1/6 binary64))))))) (-.f64 #s(approx (cos (+ (/ ( 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64) (.f64 (PI.f64) #s(literal -1/6 binary64))))) #s(approx (cos (+ (/ ( 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal -1/6 binary64)))))))
(/.f64 (+.f64 (pow.f64 #s(approx (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64) (.f64 (PI.f64) #s(literal -1/6 binary64))))) #s(literal 3 binary64)) (pow.f64 #s(approx (cos (+ (/ ( 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64) (.f64 (PI.f64) #s(literal -1/6 binary64))))) #s(literal 3 binary64))) (fma.f64 #s(approx (cos (+ (/ ( 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64) (.f64 (PI.f64) #s(literal -1/6 binary64))))) #s(approx (cos (+ (/ ( 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64) (.f64 (PI.f64) #s(literal -1/6 binary64))))) (-.f64 (.f64 #s(approx (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64) (.f64 (PI.f64) #s(literal -1/6 binary64))))) #s(approx (cos (+ (/ ( 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64) (.f64 (PI.f64) #s(literal -1/6 binary64)))))) (.f64 #s(approx (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64) (.f64 (PI.f64) #s(literal -1/6 binary64))))) #s(approx (cos (+ (/ ( 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal -1/6 binary64)))))))))
(fma.f64 #s(literal 1 binary64) #s(approx (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64) (.f64 (PI.f64) #s(literal -1/6 binary64))))) (.f64 #s(literal 1 binary64) #s(approx (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal -1/6 binary64)))))))
(fma.f64 #s(approx (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64) (.f64 (PI.f64) #s(literal -1/6 binary64))))) #s(literal 1 binary64) (.f64 #s(approx (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal -1/6 binary64))))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) #s(approx (cos (+ (/ ( 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64) (.f64 (PI.f64) #s(literal -1/6 binary64)))))) (.f64 #s(literal 1 binary64) #s(approx (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal -1/6 binary64)))))))
(+.f64 (.f64 #s(approx (cos (+ (/ ( 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64) (.f64 (PI.f64) #s(literal -1/6 binary64))))) #s(literal 1 binary64)) (.f64 #s(approx (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal -1/6 binary64))))) #s(literal 1 binary64)))
(+.f64 #s(approx (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64) (.f64 (PI.f64) #s(literal -1/6 binary64))))) #s(approx (cos (+ (/ ( 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal -1/6 binary64))))))
#s(approx (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal -1/6 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/6 binary64) (PI.f64))) (sin.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64)))) (.f64 (cos.f64 (.f64 #s(literal 1/6 binary64) (PI.f64))) (sin.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64))))) (.f64 (.f64 (sin.f64 (.f64 (PI.f64) #s(literal -1/6 binary64))) (cos.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64)))) (.f64 (sin.f64 (.f64 (PI.f64) #s(literal -1/6 binary64))) (cos.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64)))))) (-.f64 (.f64 (cos.f64 (.f64 #s(literal 1/6 binary64) (PI.f64))) (sin.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64)))) (.f64 (sin.f64 (.f64 (PI.f64) #s(literal -1/6 binary64))) (cos.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/6 binary64) (PI.f64))) (sin.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) #s(literal -1/6 binary64))) (cos.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/6 binary64) (PI.f64))) (sin.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64)))) (.f64 (cos.f64 (.f64 #s(literal 1/6 binary64) (PI.f64))) (sin.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64)))) (-.f64 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) #s(literal -1/6 binary64))) (cos.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64)))) (.f64 (sin.f64 (.f64 (PI.f64) #s(literal -1/6 binary64))) (cos.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64))))) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/6 binary64) (PI.f64))) (sin.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64)))) (.f64 (sin.f64 (.f64 (PI.f64) #s(literal -1/6 binary64))) (cos.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64))))))))
(fma.f64 (sin.f64 (.f64 (PI.f64) #s(literal -1/6 binary64))) (cos.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64))) (.f64 (cos.f64 (.f64 #s(literal 1/6 binary64) (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64)))))
(fma.f64 (cos.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64))) (sin.f64 (.f64 (PI.f64) #s(literal -1/6 binary64))) (.f64 (cos.f64 (.f64 #s(literal 1/6 binary64) (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64)))))
(fma.f64 (cos.f64 (.f64 #s(literal 1/6 binary64) (PI.f64))) (sin.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64))) (.f64 (sin.f64 (.f64 (PI.f64) #s(literal -1/6 binary64))) (cos.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64)))))
(fma.f64 (sin.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64))) (cos.f64 (.f64 #s(literal 1/6 binary64) (PI.f64))) (.f64 (sin.f64 (.f64 (PI.f64) #s(literal -1/6 binary64))) (cos.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64)))))
(sin.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal -1/6 binary64))))
(-.f64 (.f64 (cos.f64 (.f64 #s(literal 1/6 binary64) (PI.f64))) (sin.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64)))) (.f64 (neg.f64 (cos.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64)))) (sin.f64 (.f64 (PI.f64) #s(literal -1/6 binary64)))))
(-.f64 (.f64 (cos.f64 (.f64 #s(literal 1/6 binary64) (PI.f64))) (sin.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64)))) (.f64 (cos.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64))) (sin.f64 (.f64 #s(literal 1/6 binary64) (PI.f64)))))
(+.f64 (.f64 (sin.f64 (.f64 (PI.f64) #s(literal -1/6 binary64))) (cos.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64)))) (.f64 (cos.f64 (.f64 #s(literal 1/6 binary64) (PI.f64))) (sin.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64)))))
(+.f64 (.f64 (cos.f64 (.f64 #s(literal 1/6 binary64) (PI.f64))) (sin.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64)))) (.f64 (sin.f64 (.f64 (PI.f64) #s(literal -1/6 binary64))) (cos.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))) (-.f64 (.f64 (PI.f64) #s(literal -1/6 binary64)) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64))))
(/.f64 (-.f64 (.f64 #s(literal -1/27 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))) (pow.f64 (.f64 #s(literal 1/6 binary64) (PI.f64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/36 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64)) (.f64 #s(literal 1/6 binary64) (PI.f64))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))) (.f64 #s(literal 1/36 binary64) (.f64 (PI.f64) (PI.f64))))) (neg.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64) (.f64 #s(literal 1/6 binary64) (PI.f64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (.f64 (PI.f64) #s(literal -1/6 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (PI.f64) #s(literal -1/6 binary64)) (-.f64 (.f64 (PI.f64) #s(literal -1/6 binary64)) (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64))) (*.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))) (.f64 #s(literal 1/36 binary64) (.f64 (PI.f64) (PI.f64)))) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64) (.f64 #s(literal 1/6 binary64) (PI.f64))))
(/.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (.f64 (PI.f64) #s(literal -1/6 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (.f64 (PI.f64) (PI.f64)) (-.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64))) (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 #s(literal -1/3 binary64) (.f64 (PI.f64) #s(literal -1/6 binary64)))))))
(/.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (pow.f64 (.f64 (PI.f64) #s(literal -1/6 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (PI.f64) #s(literal -1/6 binary64)) (-.f64 (.f64 (PI.f64) #s(literal -1/6 binary64)) (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64))) (*.f64 #s(literal 1/9 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)))))
(fma.f64 (.f64 #s(literal -1/6 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64)))
(fma.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)) (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64)))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal -1/6 binary64)) (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal -1/6 binary64)) (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64)))
(fma.f64 (PI.f64) #s(literal -1/6 binary64) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64)))
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(/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))) (+.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 4 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (neg.f64 g) h))))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 (PI.f64) #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64)))))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (acos.f64 (/.f64 (neg.f64 g) h)))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)) (acos.f64 (/.f64 (neg.f64 g) h)))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (acos.f64 (/.f64 (neg.f64 g) h)))
(fma.f64 (sqrt.f64 (PI.f64)) (+.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (acos.f64 (/.f64 (neg.f64 g) h)))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (acos.f64 (/.f64 (neg.f64 g) h)))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (+.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (acos.f64 (/.f64 (neg.f64 g) h)))
(fma.f64 (cbrt.f64 (PI.f64)) (fma.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (acos.f64 (/.f64 (neg.f64 g) h)))
(fma.f64 (PI.f64) #s(literal 2 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
(fma.f64 #s(literal 2 binary64) (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))
(-.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (/.f64 (neg.f64 g) h)))
(-.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 (PI.f64) (PI.f64))) (-.f64 (.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (neg.f64 g) h)))) (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (neg.f64 g) h)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (asin.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal -2 binary64) (PI.f64)))
(+.f64 (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) (PI.f64))
(+.f64 (/.f64 (pow.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 (PI.f64) #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (.f64 (PI.f64) (PI.f64))))) (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)) (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 (PI.f64) #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64))))))
(+.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (neg.f64 g) h)))
(+.f64 (PI.f64) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))))
(+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal -1/6 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal -1/6 binary64)))
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal -1/6 binary64)))
(*.f64 (PI.f64) #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) (PI.f64))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal -1/6 binary64)))
(PI.f64)

eval22.0ms (0.4%)

Memory: 4.4MiB live, 51.8MiB allocated; 2ms collecting garbage
Compiler: Compiled 4 565 to 619 computations (86.4% saved)

prune31.0ms (0.6%)

Memory

-12.6MiB live, 41.0MiB allocated; 5ms collecting garbage

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	130	1	131
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	130	3	133

Accuracy

100.0%

Counts

133 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

98.5%

(*.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))

▶

100.0%

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

✓

100.0%

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

Compiler

Compiled 69 to 62 computations (10.1% saved)

simplify174.0ms (3.3%)

Memory

-25.6MiB live, 214.6MiB allocated; 15ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 (PI.f64) #s(literal -1/6 binary64) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64)))
cost-diff	0	(sin.f64 (fma.f64 (PI.f64) #s(literal -1/6 binary64) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64))))
cost-diff	0	#s(approx (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin.f64 (fma.f64 (PI.f64) #s(literal -1/6 binary64) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64)))))
cost-diff	0	(.f64 #s(literal 2 binary64) #s(approx (cos (+ (/ ( 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin.f64 (fma.f64 (PI.f64) #s(literal -1/6 binary64) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64))))))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	24	99
0	33	95
1	57	95
2	117	95
3	251	95
4	595	93
5	2000	93
6	5722	93
0	8166	93

Stop Event

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

Calls

Call 1

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

Outputs
(.f64 #s(literal 2 binary64) #s(approx (cos (+ (/ ( 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin.f64 (fma.f64 (PI.f64) #s(literal -1/6 binary64) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64))))))
(.f64 #s(approx (cos (+ (/ ( 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 7/6 binary64) (PI.f64))))) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin.f64 (fma.f64 (PI.f64) #s(literal -1/6 binary64) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64)))))
#s(approx (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 7/6 binary64) (PI.f64)))))
(sin.f64 (fma.f64 (PI.f64) #s(literal -1/6 binary64) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64))))
(sin.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal 7/6 binary64) (PI.f64))))
(fma.f64 (PI.f64) #s(literal -1/6 binary64) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64)))
(fma.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal -1/6 binary64) (PI.f64)))
(PI.f64)
#s(literal -1/6 binary64)
(*.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)))
(acos.f64 (/.f64 (neg.f64 g) h))
(/.f64 (neg.f64 g) h)
(neg.f64 g)
g
h
#s(literal -1/3 binary64)

localize72.0ms (1.4%)

Memory

9.9MiB live, 198.6MiB allocated; 10ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(PI.f64)
accuracy	0.0	#s(approx (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin.f64 (fma.f64 (PI.f64) #s(literal -1/6 binary64) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64)))))
accuracy	0.953125	(sin.f64 (fma.f64 (PI.f64) #s(literal -1/6 binary64) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64))))
accuracy	0.96875	(*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64))

Samples

58.0ms

256×

valid

Compiler

Compiled 79 to 22 computations (72.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 9.0ms (19.1% of total)

ival-sin: 8.0ms (16.9% of total)

ival-cos: 7.0ms (14.8% of total)

const: 7.0ms (14.8% of total)

ival-div: 5.0ms (10.6% of total)

ival-neg: 4.0ms (8.5% of total)

ival-add: 2.0ms (4.2% of total)

ival-acos: 2.0ms (4.2% of total)

ival-pi: 1.0ms (2.1% of total)

exact: 1.0ms (2.1% of total)

adjust: 0.0ms (0% of total)

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

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

series11.0ms (0.2%)

Memory

-19.6MiB live, 27.6MiB allocated; 2ms collecting garbage

Counts

6 → 5

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	h	@	-inf	((* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin (+ (* (PI) -1/6) (* (acos (/ (neg g) h)) -1/3))) (+ (* (PI) -1/6) (* (acos (/ (neg g) h)) -1/3)) (* (acos (/ (neg g) h)) -1/3) (PI))
2.0ms	g	@	0	((* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin (+ (* (PI) -1/6) (* (acos (/ (neg g) h)) -1/3))) (+ (* (PI) -1/6) (* (acos (/ (neg g) h)) -1/3)) (* (acos (/ (neg g) h)) -1/3) (PI))
1.0ms	g	@	inf	((* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin (+ (* (PI) -1/6) (* (acos (/ (neg g) h)) -1/3))) (+ (* (PI) -1/6) (* (acos (/ (neg g) h)) -1/3)) (* (acos (/ (neg g) h)) -1/3) (PI))
1.0ms	h	@	inf	((* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin (+ (* (PI) -1/6) (* (acos (/ (neg g) h)) -1/3))) (+ (* (PI) -1/6) (* (acos (/ (neg g) h)) -1/3)) (* (acos (/ (neg g) h)) -1/3) (PI))
1.0ms	g	@	-inf	((* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin (+ (* (PI) -1/6) (* (acos (/ (neg g) h)) -1/3))) (+ (* (PI) -1/6) (* (acos (/ (neg g) h)) -1/3)) (* (acos (/ (neg g) h)) -1/3) (PI))

simplify128.0ms (2.4%)

Memory

27.6MiB live, 215.4MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	117
1	91	117
2	181	117
3	369	117
4	845	117
5	3257	117
0	8127	109

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 5

Calls

Call 1

Inputs
#s(approx (* 2 (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3)))) #s(hole binary64 (* 2 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI)))))))
#s(approx (cos (+ (/ (* 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) #s(hole binary64 (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 (PI))))))
#s(approx (sin (+ (* (PI) -1/6) (* (acos (/ (neg g) h)) -1/3))) #s(hole binary64 (sin (+ (* -1/3 (acos (* -1 (/ g h)))) (* -1/6 (PI))))))
#s(approx (+ (* (PI) -1/6) (* (acos (/ (neg g) h)) -1/3)) #s(hole binary64 (+ (* -1/3 (acos (* -1 (/ g h)))) (* -1/6 (PI)))))
#s(approx (* (acos (/ (neg g) h)) -1/3) #s(hole binary64 (* -1/3 (acos (* -1 (/ g h))))))

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

rewrite45.0ms (0.9%)

Memory

16.1MiB live, 63.5MiB allocated; 1ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	83
0	33	79
1	124	79
0	907	77

Stop Event

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

Counts

6 → 54

Calls

Call 1

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

Outputs
(.f64 #s(approx (cos (+ (/ ( 2 (PI)) 3) (/ (acos (/ (neg g) h)) 3))) (sin.f64 (fma.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 #s(literal -1/6 binary64) (PI.f64))))) #s(literal 2 binary64))
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(+.f64 (/.f64 (.f64 #s(literal -1/216 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) (-.f64 (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) (.f64 #s(literal -1/6 binary64) (PI.f64)))))) (/.f64 (.f64 #s(literal -1/27 binary64) (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) (-.f64 (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) (.f64 #s(literal -1/6 binary64) (PI.f64)))))))
(+.f64 (.f64 #s(literal -1/6 binary64) (PI.f64)) (.f64 (neg.f64 (neg.f64 (acos.f64 (/.f64 (neg.f64 g) h)))) #s(literal -1/3 binary64)))
(+.f64 (.f64 #s(literal -1/6 binary64) (PI.f64)) (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))))
(+.f64 (.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h))) (.f64 #s(literal -1/6 binary64) (PI.f64)))
(*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (neg.f64 g) h)))
(*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal -1/3 binary64))
(PI.f64)

eval13.0ms (0.2%)

Memory: -29.1MiB live, 24.6MiB allocated; 3ms collecting garbage
Compiler: Compiled 2 731 to 289 computations (89.4% saved)

prune7.0ms (0.1%)

Memory

26.0MiB live, 26.0MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	58	3	61

Accuracy

100.0%

Counts

61 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

98.5%

(*.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))

✓

100.0%

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

✓

100.0%

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

Compiler

Compiled 154 to 103 computations (33.1% saved)

regimes16.0ms (0.3%)

Memory

-1.1MiB live, 45.5MiB allocated; 3ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

Calls

9 calls:

3.0ms	g
2.0ms	h
2.0ms	(neg.f64 g)
2.0ms	(/.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	`(neg.f64 g)`
100.0%	1	`(/.f64 (neg.f64 g) h)`
100.0%	1	`(acos.f64 (/.f64 (neg.f64 g) h))`
100.0%	1	`(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))`
100.0%	1	`(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))`
100.0%	1	`(cos.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64))))`
100.0%	1	`(.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) #s(literal 3 binary64)))))`
100.0%	1	`g`
100.0%	1	`h`

Compiler

Compiled 63 to 62 computations (1.6% saved)

regimes10.0ms (0.2%)

Memory

-13.7MiB live, 32.7MiB allocated; 2ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs

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

Outputs

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

Calls

9 calls:

2.0ms	g
1.0ms	(neg.f64 g)
1.0ms	h
1.0ms	(acos.f64 (/.f64 (neg.f64 g) h))
1.0ms	(/.f64 (neg.f64 g) h)

Results

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

Compiler

Compiled 63 to 62 computations (1.6% saved)

simplify36.0ms (0.7%)

Memory

-12.2MiB live, 34.9MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	52
1	52	52
2	94	52
3	209	52
4	585	52
5	3315	52

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

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

Outputs

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

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

derivations120.0ms (2.3%)

Memory

17.9MiB live, 120.5MiB allocated; 6ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 56 to 30 computations (46.4% saved)

preprocess37.0ms (0.7%)

Memory: 4.8MiB live, 50.8MiB allocated; 3ms collecting garbage
Compiler: Compiled 144 to 88 computations (38.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze107.0ms (2%)

sample3.0s (56.8%)

explain207.0ms (3.9%)

preprocess217.0ms (4.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify181.0ms (3.5%)

localize49.0ms (0.9%)

series9.0ms (0.2%)

simplify157.0ms (3%)

rewrite91.0ms (1.7%)

eval20.0ms (0.4%)

prune2.0ms (0%)

simplify160.0ms (3%)

localize130.0ms (2.5%)

series21.0ms (0.4%)

simplify124.0ms (2.4%)

rewrite71.0ms (1.4%)

eval22.0ms (0.4%)

prune31.0ms (0.6%)

simplify174.0ms (3.3%)

localize72.0ms (1.4%)

series11.0ms (0.2%)

simplify128.0ms (2.4%)

rewrite45.0ms (0.9%)

eval13.0ms (0.2%)

prune7.0ms (0.1%)

regimes16.0ms (0.3%)

regimes10.0ms (0.2%)

simplify36.0ms (0.7%)

derivations120.0ms (2.3%)

preprocess37.0ms (0.7%)

end0.0ms (0%)

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