Details

analyze1.8s (16.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
25%	74.9%	0.1%	6
25%	74.9%	0.1%	7
31.2%	68.6%	0.1%	8
40.6%	59.3%	0.1%	9
40.6%	59.3%	0.1%	10
46%	53.8%	0.1%	11
52.7%	47.2%	0.1%	12
52.7%	44.6%	2.8%	13
55.9%	40.6%	3.5%	14

Compiler

Compiled 27 to 22 computations (18.5% saved)

sample185.0ms (1.7%)

Algorithm

1×

intervals

Results

38.0ms	55×	body	1024	valid
28.0ms	7×	body	4096	valid
24.0ms	36×	body	1024	invalid
23.0ms	148×	body	128	valid
16.0ms	40×	body	128	invalid
15.0ms	29×	body	512	valid
12.0ms	9×	body	2048	valid
8.0ms	16×	body	512	invalid
3.0ms	8×	body	256	valid
2.0ms	6×	body	256	invalid

Compiler

Compiled 56 to 46 computations (17.9% saved)

simplify46.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

387×	`unsub-neg_binary64`
380×	`neg-sub0_binary64`
373×	`neg-mul-1_binary64`
358×	`*-commutative_binary64`
328×	`fma-neg_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	37
1	37	37
2	84	37
3	224	37
4	803	37
5	2061	37
6	3861	37
7	5076	37

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

32.3b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	32.3b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))

Compiler

Compiled 101 to 78 computations (22.8% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 PI.f64 (/.f64 angle 180))
✓	7.1b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
✓	26.3b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
✓	26.5b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite23.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64`
16×	`associate-r_binary64`
14×	`add-cbrt-cube_binary64`
14×	`add-exp-log_binary64`
13×	`*-un-lft-identity_binary64`

Counts

4 → 74

Calls

4 calls:

11.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
5.0ms	(*.f64 PI.f64 (/.f64 angle 180))
1.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
1.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

series128.0ms (1.2%)

Counts

4 → 72

Calls

4 calls:

110.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
12.0ms	(*.f64 PI.f64 (/.f64 angle 180))
3.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
3.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

simplify146.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

848×	`fma-def_binary64`
487×	`cancel-sign-sub-inv_binary64`
351×	`fma-neg_binary64`
313×	`associate-r_binary64`
300×	`associate-l_binary64`

Counts

146 → 224

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	243	3355
1	641	2801
2	2386	2789
3	4784	2758
4	4991	2758
5	4948	2758

prune228.0ms (2.1%)

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	195	29	224
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	196	29	225

Error

28.2b

Counts

225 → 29

Alt Table

Status	Error	Program
	33.1b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (.f64 PI.f64 (/.f64 (.f64 (cbrt.f64 angle) (cbrt.f64 angle)) (sqrt.f64 180))) (/.f64 (cbrt.f64 angle) (sqrt.f64 180))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	50.2b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (exp.f64 (+.f64 (log.f64 PI.f64) (log.f64 (/.f64 angle 180)))))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))
	32.6b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))))) (cbrt.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	49.4b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (.f64 PI.f64 (sqrt.f64 (/.f64 angle 180))) (sqrt.f64 (/.f64 angle 180))))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))
	45.0b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (cbrt.f64 (pow.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) 3))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	32.6b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (.f64 PI.f64 (.f64 (cbrt.f64 (/.f64 angle 180)) (cbrt.f64 (/.f64 angle 180)))) (cbrt.f64 (/.f64 angle 180))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	51.7b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (log.f64 (exp.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	33.1b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (.f64 (cbrt.f64 PI.f64) (cbrt.f64 PI.f64)) (.f64 (cbrt.f64 PI.f64) (/.f64 angle 180))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	45.5b	(.f64 (.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle PI.f64))))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))
	44.9b	(.f64 (.f64 (sqrt.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180))))) (sqrt.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	35.5b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (.f64 (sqrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) (sqrt.f64 (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))))
	32.7b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 PI.f64 (.f64 (cbrt.f64 180) (cbrt.f64 180))) (/.f64 angle (cbrt.f64 180))))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))
	32.6b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180))))) (cbrt.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))))) (cbrt.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
▶	32.3b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))) (cbrt.f64 (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))))
	37.6b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (fma.f64 angle (.f64 PI.f64 1/180) (fma.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 PI.f64 5)) (fma.f64 (pow.f64 PI.f64 7) (.f64 (pow.f64 angle 7) -1/30855889612800000000) (.f64 (pow.f64 (.f64 angle PI.f64) 3) -1/34992000))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	49.5b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (.f64 PI.f64 (sqrt.f64 angle)) (/.f64 (sqrt.f64 angle) 180)))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))
	44.1b	(.f64 (cbrt.f64 (.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180))))) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	32.6b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cos.f64 (.f64 1/180 (.f64 angle PI.f64))))
	54.3b	(.f64 (log.f64 (pow.f64 (exp.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a))))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))
	32.3b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (log.f64 (exp.f64 (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))))
	32.8b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (.f64 (cbrt.f64 (.f64 PI.f64 (/.f64 angle 180))) (cbrt.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (.f64 PI.f64 (/.f64 angle 180)))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	55.2b	(.f64 (exp.f64 (+.f64 (log.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (log.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))
	33.6b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) 1)
	32.8b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (.f64 PI.f64 (.f64 (cbrt.f64 angle) (cbrt.f64 angle))) (/.f64 (cbrt.f64 angle) 180)))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	45.6b	(.f64 (exp.f64 (log.f64 (.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	33.1b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (.f64 PI.f64 (/.f64 (.f64 (cbrt.f64 angle) (cbrt.f64 angle)) (.f64 (cbrt.f64 180) (cbrt.f64 180)))) (/.f64 (cbrt.f64 angle) (cbrt.f64 180))))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))
	35.5b	(.f64 (.f64 angle (.f64 1/90 (.f64 PI.f64 (-.f64 (.f64 b b) (.f64 a a))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	40.9b	(.f64 (.f64 2 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle PI.f64))))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))
	55.2b	(.f64 (exp.f64 (+.f64 (+.f64 (log.f64 2) (log.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (log.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))

Compiler

Compiled 6164 to 4530 computations (26.5% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	26.3b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
	26.5b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
	26.5b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
	26.5b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify17.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
1	0	0

prune229.0ms (2.1%)

Pruning

32 alts after pruning (32 fresh and 0 done)

	Pruned	Kept	Total
New	194	6	200
Fresh	2	26	28
Picked	1	0	1
Done	0	0	0
Total	197	32	229

Error

28.1b

Counts

229 → 32

Alt Table

Status	Error	Program
	33.1b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (.f64 PI.f64 (/.f64 (.f64 (cbrt.f64 angle) (cbrt.f64 angle)) (sqrt.f64 180))) (/.f64 (cbrt.f64 angle) (sqrt.f64 180))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	50.2b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (exp.f64 (+.f64 (log.f64 PI.f64) (log.f64 (/.f64 angle 180)))))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))
	45.0b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (cbrt.f64 (pow.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) 3))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	32.6b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (.f64 PI.f64 (.f64 (cbrt.f64 (/.f64 angle 180)) (cbrt.f64 (/.f64 angle 180)))) (cbrt.f64 (/.f64 angle 180))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	32.3b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (log1p.f64 (expm1.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))))) (cbrt.f64 (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))))
	33.1b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (.f64 (cbrt.f64 PI.f64) (cbrt.f64 PI.f64)) (.f64 (cbrt.f64 PI.f64) (/.f64 angle 180))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	40.9b	(.f64 (.f64 2 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle PI.f64))))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))
	33.4b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))) (cbrt.f64 1)))
	45.5b	(.f64 (.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle PI.f64))))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))
	44.9b	(.f64 (.f64 (sqrt.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180))))) (sqrt.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	35.5b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (.f64 (sqrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) (sqrt.f64 (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))))
	32.6b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))) (cbrt.f64 (cos.f64 (.f64 1/180 (.f64 angle PI.f64))))))
	32.7b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 PI.f64 (.f64 (cbrt.f64 180) (cbrt.f64 180))) (/.f64 angle (cbrt.f64 180))))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))
	32.6b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180))))) (cbrt.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))))) (cbrt.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
▶	32.3b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (log1p.f64 (expm1.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))))) (.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))) (cbrt.f64 (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))))
	49.5b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (.f64 PI.f64 (sqrt.f64 angle)) (/.f64 (sqrt.f64 angle) 180)))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))
	44.1b	(.f64 (cbrt.f64 (.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180))))) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	32.6b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cos.f64 (.f64 1/180 (.f64 angle PI.f64))))
	51.7b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (log.f64 (exp.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))))) (.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))) (cbrt.f64 (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))))
	54.3b	(.f64 (log.f64 (pow.f64 (exp.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a))))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))
	32.3b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (log.f64 (exp.f64 (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))))
	32.8b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (.f64 (cbrt.f64 (.f64 PI.f64 (/.f64 angle 180))) (cbrt.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (.f64 PI.f64 (/.f64 angle 180)))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	55.2b	(.f64 (exp.f64 (+.f64 (log.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (log.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))
	33.6b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) 1)
	32.6b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))))) (cbrt.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))))) (.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))) (cbrt.f64 (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))))
	32.8b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (.f64 PI.f64 (.f64 (cbrt.f64 angle) (cbrt.f64 angle))) (/.f64 (cbrt.f64 angle) 180)))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	45.6b	(.f64 (exp.f64 (log.f64 (.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	33.1b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (.f64 PI.f64 (/.f64 (.f64 (cbrt.f64 angle) (cbrt.f64 angle)) (.f64 (cbrt.f64 180) (cbrt.f64 180)))) (/.f64 (cbrt.f64 angle) (cbrt.f64 180))))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))
	49.4b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (.f64 PI.f64 (sqrt.f64 (/.f64 angle 180))) (sqrt.f64 (/.f64 angle 180))))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))
	35.5b	(.f64 (.f64 angle (.f64 1/90 (.f64 PI.f64 (-.f64 (.f64 b b) (.f64 a a))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	37.6b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (fma.f64 angle (.f64 PI.f64 1/180) (fma.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 PI.f64 5)) (fma.f64 (pow.f64 PI.f64 7) (.f64 (pow.f64 angle 7) -1/30855889612800000000) (.f64 (pow.f64 (.f64 angle PI.f64) 3) -1/34992000))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	55.2b	(.f64 (exp.f64 (+.f64 (+.f64 (log.f64 2) (log.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (log.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))

Compiler

Compiled 5770 to 4446 computations (22.9% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	26.3b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
	26.5b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
	26.5b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
	26.5b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify20.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
1	0	0

prune246.0ms (2.2%)

Pruning

33 alts after pruning (33 fresh and 0 done)

	Pruned	Kept	Total
New	1448	2	1450
Fresh	0	31	31
Picked	1	0	1
Done	0	0	0
Total	1449	33	1482

Error

28.1b

Counts

1482 → 33

Alt Table

Status	Error	Program
	33.1b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (.f64 PI.f64 (/.f64 (.f64 (cbrt.f64 angle) (cbrt.f64 angle)) (sqrt.f64 180))) (/.f64 (cbrt.f64 angle) (sqrt.f64 180))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	50.2b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (exp.f64 (+.f64 (log.f64 PI.f64) (log.f64 (/.f64 angle 180)))))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))
	45.0b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (cbrt.f64 (pow.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) 3))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	32.6b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (.f64 PI.f64 (.f64 (cbrt.f64 (/.f64 angle 180)) (cbrt.f64 (/.f64 angle 180)))) (cbrt.f64 (/.f64 angle 180))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	32.3b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (log1p.f64 (expm1.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))))) (cbrt.f64 (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))))
	33.1b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (.f64 (cbrt.f64 PI.f64) (cbrt.f64 PI.f64)) (.f64 (cbrt.f64 PI.f64) (/.f64 angle 180))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	40.9b	(.f64 (.f64 2 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle PI.f64))))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))
	33.4b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))) (cbrt.f64 1)))
	45.5b	(.f64 (.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle PI.f64))))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))
	44.9b	(.f64 (.f64 (sqrt.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180))))) (sqrt.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	35.5b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (.f64 (sqrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) (sqrt.f64 (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))))
	32.6b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))) (cbrt.f64 (cos.f64 (.f64 1/180 (.f64 angle PI.f64))))))
	32.7b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 PI.f64 (.f64 (cbrt.f64 180) (cbrt.f64 180))) (/.f64 angle (cbrt.f64 180))))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))
	32.6b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180))))) (cbrt.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))))) (cbrt.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
▶	32.3b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (log1p.f64 (expm1.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))))) (.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))) (cbrt.f64 (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))))))
	49.5b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (.f64 PI.f64 (sqrt.f64 angle)) (/.f64 (sqrt.f64 angle) 180)))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))
	44.1b	(.f64 (cbrt.f64 (.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180))))) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	32.6b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cos.f64 (.f64 1/180 (.f64 angle PI.f64))))
	33.4b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (log1p.f64 (expm1.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))))) (.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))) (cbrt.f64 1)))
	51.7b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (log.f64 (exp.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))))) (.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))) (cbrt.f64 (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))))
	54.3b	(.f64 (log.f64 (pow.f64 (exp.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a))))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))
	32.3b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (log.f64 (exp.f64 (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))))
	32.8b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (.f64 (cbrt.f64 (.f64 PI.f64 (/.f64 angle 180))) (cbrt.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (.f64 PI.f64 (/.f64 angle 180)))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	55.2b	(.f64 (exp.f64 (+.f64 (log.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (log.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))
	33.6b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) 1)
	32.6b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))))) (cbrt.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))))) (.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))) (cbrt.f64 (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))))
	32.8b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (.f64 PI.f64 (.f64 (cbrt.f64 angle) (cbrt.f64 angle))) (/.f64 (cbrt.f64 angle) 180)))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	45.6b	(.f64 (exp.f64 (log.f64 (.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	33.1b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (.f64 PI.f64 (/.f64 (.f64 (cbrt.f64 angle) (cbrt.f64 angle)) (.f64 (cbrt.f64 180) (cbrt.f64 180)))) (/.f64 (cbrt.f64 angle) (cbrt.f64 180))))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))
	49.4b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (.f64 PI.f64 (sqrt.f64 (/.f64 angle 180))) (sqrt.f64 (/.f64 angle 180))))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))
	35.5b	(.f64 (.f64 angle (.f64 1/90 (.f64 PI.f64 (-.f64 (.f64 b b) (.f64 a a))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	37.6b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (fma.f64 angle (.f64 PI.f64 1/180) (fma.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 PI.f64 5)) (fma.f64 (pow.f64 PI.f64 7) (.f64 (pow.f64 angle 7) -1/30855889612800000000) (.f64 (pow.f64 (.f64 angle PI.f64) 3) -1/34992000))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	55.2b	(.f64 (exp.f64 (+.f64 (+.f64 (log.f64 2) (log.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (log.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))

Compiler

Compiled 6028 to 4682 computations (22.3% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	26.5b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
	26.5b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
	26.5b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
	26.5b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify224.0ms (2%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
1	0	0

prune434.0ms (4%)

Pruning

34 alts after pruning (34 fresh and 0 done)

	Pruned	Kept	Total
New	23994	6	24000
Fresh	4	28	32
Picked	1	0	1
Done	0	0	0
Total	23999	34	24033

Error

28.0b

Counts

24033 → 34

Alt Table

Status	Error	Program
	33.1b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (.f64 PI.f64 (/.f64 (.f64 (cbrt.f64 angle) (cbrt.f64 angle)) (sqrt.f64 180))) (/.f64 (cbrt.f64 angle) (sqrt.f64 180))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	50.2b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (exp.f64 (+.f64 (log.f64 PI.f64) (log.f64 (/.f64 angle 180)))))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))
	45.0b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (cbrt.f64 (pow.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) 3))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	32.6b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (.f64 PI.f64 (.f64 (cbrt.f64 (/.f64 angle 180)) (cbrt.f64 (/.f64 angle 180)))) (cbrt.f64 (/.f64 angle 180))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	32.3b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (log1p.f64 (expm1.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))))) (cbrt.f64 (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))))
	33.1b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (.f64 (cbrt.f64 PI.f64) (cbrt.f64 PI.f64)) (.f64 (cbrt.f64 PI.f64) (/.f64 angle 180))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	40.9b	(.f64 (.f64 2 (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle PI.f64))))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))
	33.4b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))) (cbrt.f64 1)))
	45.5b	(.f64 (.f64 -2 (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle PI.f64))))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))
	44.9b	(.f64 (.f64 (sqrt.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180))))) (sqrt.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	35.5b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (.f64 (sqrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) (sqrt.f64 (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))))
	32.7b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 PI.f64 (.f64 (cbrt.f64 180) (cbrt.f64 180))) (/.f64 angle (cbrt.f64 180))))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))
	32.6b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180))))) (cbrt.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))))) (cbrt.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	37.6b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (fma.f64 angle (.f64 PI.f64 1/180) (fma.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 PI.f64 5)) (fma.f64 (pow.f64 PI.f64 7) (.f64 (pow.f64 angle 7) -1/30855889612800000000) (.f64 (pow.f64 (.f64 angle PI.f64) 3) -1/34992000))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	33.3b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (log1p.f64 (expm1.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))))) (.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 1)) (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))))))
	32.6b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cos.f64 (.f64 1/180 (.f64 angle PI.f64))))
	33.4b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (log1p.f64 (expm1.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))))) (.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))) (cbrt.f64 1)))
	51.7b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (log.f64 (exp.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))))) (.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))) (cbrt.f64 (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))))
	54.3b	(.f64 (log.f64 (pow.f64 (exp.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a))))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))
	32.6b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (log1p.f64 (expm1.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))))) (.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (cos.f64 (.f64 1/180 (.f64 angle PI.f64))))) (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))))))
	36.3b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (log1p.f64 (expm1.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))))) (.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (fma.f64 (.f64 (.f64 angle angle) (pow.f64 PI.f64 2)) -1/64800 1))) (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))))))
	32.8b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (.f64 (cbrt.f64 (.f64 PI.f64 (/.f64 angle 180))) (cbrt.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (.f64 PI.f64 (/.f64 angle 180)))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	55.2b	(.f64 (exp.f64 (+.f64 (log.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (log.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))
	33.4b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (log1p.f64 (expm1.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))))) (.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 1)) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))) (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))))))
	33.6b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) 1)
	32.3b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (log1p.f64 (expm1.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))))) (.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))) (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))))) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))) (cbrt.f64 (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))))))
	45.6b	(.f64 (exp.f64 (log.f64 (.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	32.8b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (.f64 PI.f64 (.f64 (cbrt.f64 angle) (cbrt.f64 angle))) (/.f64 (cbrt.f64 angle) 180)))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	32.6b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (log1p.f64 (expm1.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))))) (.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (cos.f64 (.f64 1/180 (.f64 angle PI.f64))))) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))) (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))))))
	55.2b	(.f64 (exp.f64 (+.f64 (+.f64 (log.f64 2) (log.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (log.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	33.1b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (.f64 PI.f64 (/.f64 (.f64 (cbrt.f64 angle) (cbrt.f64 angle)) (.f64 (cbrt.f64 180) (cbrt.f64 180)))) (/.f64 (cbrt.f64 angle) (cbrt.f64 180))))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))
	49.4b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (.f64 PI.f64 (sqrt.f64 (/.f64 angle 180))) (sqrt.f64 (/.f64 angle 180))))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))
	35.5b	(.f64 (.f64 angle (.f64 1/90 (.f64 PI.f64 (-.f64 (.f64 b b) (.f64 a a))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	49.5b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (.f64 PI.f64 (sqrt.f64 angle)) (/.f64 (sqrt.f64 angle) 180)))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))

Compiler

Compiled 6142 to 4751 computations (22.6% saved)

regimes1.4s (12.7%)

Accuracy

Total 3.1b remaining (9.7%)

Threshold costs 0b (0%)

Compiler

Compiled 38202 to 30090 computations (21.2% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	127
1	39	127
2	44	127
3	46	127
4	47	127
5	47	127

end2.0ms (0%)

Compiler: Compiled 77 to 60 computations (22.1% saved)

sample5.8s (52.5%)

Algorithm

1×

intervals

Results

1.1s	1478×	body	1024	valid
868.0ms	1255×	body	1024	invalid
830.0ms	5114×	body	128	valid
389.0ms	782×	body	512	valid
340.0ms	82×	body	4096	valid
320.0ms	649×	body	512	invalid
226.0ms	187×	body	2048	valid
215.0ms	1309×	body	128	invalid
120.0ms	357×	body	256	valid
107.0ms	316×	body	256	invalid

Compiler

Compiled 1454 to 1154 computations (20.6% saved)

Details

analyze1.8s (16.4%)

sample185.0ms (1.7%)

simplify46.0ms (0.4%)

prune3.0ms (0%)

localize13.0ms (0.1%)

rewrite23.0ms (0.2%)

series128.0ms (1.2%)

simplify146.0ms (1.3%)

prune228.0ms (2.1%)

localize18.0ms (0.2%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify17.0ms (0.2%)

prune229.0ms (2.1%)

localize21.0ms (0.2%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify20.0ms (0.2%)

prune246.0ms (2.2%)

localize26.0ms (0.2%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify224.0ms (2%)

prune434.0ms (4%)

regimes1.4s (12.7%)

simplify6.0ms (0.1%)

end2.0ms (0%)

sample5.8s (52.5%)

Profiling