Details

analyze4.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

Compiler

Compiled 27 to 22 computations (18.5% saved)

sample5.5s (28.5%)

Results

2.3s	1911×	body	1024	valid
1.4s	4781×	body	128	valid
808.0ms	934×	body	512	valid
384.0ms	55×	body	4096	valid
263.0ms	468×	body	256	valid
208.0ms	107×	body	2048	valid

Compiler

Compiled 80 to 65 computations (18.8% saved)

simplify45.0ms (0.2%)

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

prune4.0ms (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

26.9b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	26.9b	(.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)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.5b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
✓	6.2b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
✓	26.3b	(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
✓	26.9b	(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))

series126.0ms (0.6%)

Counts

4 → 66

Calls

4 calls:

102.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
12.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
6.0ms	(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
6.0ms	(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))

rewrite43.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

64×	`prod-diff_binary64`
64×	`unpow-prod-down_binary64`
57×	`add-sqr-sqrt_binary64`
45×	`*-un-lft-identity_binary64`
41×	`add-cube-cbrt_binary64`

Counts

4 → 151

Calls

4 calls:

19.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
10.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
2.0ms	(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
2.0ms	(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))

simplify459.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

580×	`cancel-sign-sub-inv_binary64`
482×	`fma-neg_binary64`
457×	`unswap-sqr_binary64`
363×	`associate-r_binary64`
310×	`associate-l_binary64`

Counts

217 → 222

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	338	8304
1	701	4859
2	2506	3469
3	4594	3463
4	4981	3463
5	4871	3463

prune826.0ms (4.3%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	201	21	222
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	202	21	223

Error

16.9b

Counts

223 → 21

Alt Table

Status	Error	Program
	42.7b	(.f64 (.f64 (.f64 2 (exp.f64 (log.f64 (-.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))))
	38.2b	(.f64 (.f64 (.f64 2 (expm1.f64 (log1p.f64 (-.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))))
	27.0b	(.f64 (.f64 (.f64 2 (+.f64 (pow.f64 b 2) (.f64 (neg.f64 (pow.f64 (.f64 (cbrt.f64 a) (cbrt.f64 a)) 2)) (pow.f64 (cbrt.f64 a) 2)))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	27.1b	(.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))))
	43.6b	(.f64 (log.f64 (exp.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))))
	38.7b	(.f64 (.f64 (.f64 2 (pow.f64 b 2)) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	27.2b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 1)
	51.7b	(.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))))
	40.5b	(.f64 (.f64 (.f64 2 (neg.f64 (.f64 a a))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
	27.2b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
	51.7b	(.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))))
	27.2b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 1/180 (.f64 angle (PI.f64)))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
	27.1b	(.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))))
	41.0b	(.f64 (-.f64 (+.f64 (.f64 1/17496000 (.f64 (pow.f64 angle 3) (.f64 (pow.f64 (PI.f64) 3) (pow.f64 a 2)))) (.f64 1/90 (.f64 angle (.f64 (PI.f64) (pow.f64 b 2))))) (+.f64 (.f64 1/90 (.f64 angle (.f64 (PI.f64) (pow.f64 a 2)))) (.f64 1/17496000 (.f64 (pow.f64 angle 3) (.f64 (pow.f64 (PI.f64) 3) (pow.f64 b 2)))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
	27.2b	(.f64 (.f64 angle (.f64 1/90 (.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	47.4b	(.f64 (.f64 (.f64 2 (+.f64 (fma.f64 (pow.f64 (.f64 (cbrt.f64 b) (cbrt.f64 b)) 2) (pow.f64 (cbrt.f64 b) 2) (neg.f64 (.f64 (pow.f64 (sqrt.f64 a) 2) (pow.f64 (sqrt.f64 a) 2)))) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 a) 2)) (pow.f64 (sqrt.f64 a) 2) (.f64 (pow.f64 (sqrt.f64 a) 2) (pow.f64 (sqrt.f64 a) 2))))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
▶	26.9b	(.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))))))
	27.1b	(.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)))))
	28.4b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (-.f64 1 (.f64 1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2)))))
	40.1b	(.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))))
	51.9b	(.f64 (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 2 (-.f64 (pow.f64 b 4) (pow.f64 a 4)))) (+.f64 (pow.f64 b 2) (pow.f64 a 2))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))

Compiler

Compiled 9984 to 7151 computations (28.4% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.5b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
	6.2b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	26.3b	(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
	26.9b	(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))

prune1.1s (5.9%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	249	9	258
Fresh	6	14	20
Picked	1	0	1
Done	0	0	0
Total	256	23	279

Error

16.8b

Counts

279 → 23

Alt Table

Status	Error	Program
	42.7b	(.f64 (.f64 (.f64 2 (exp.f64 (log.f64 (-.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))))
	38.2b	(.f64 (.f64 (.f64 2 (expm1.f64 (log1p.f64 (-.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))))
	27.1b	(.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)))))))
	47.4b	(.f64 (.f64 (.f64 2 (+.f64 (fma.f64 (pow.f64 (.f64 (cbrt.f64 b) (cbrt.f64 b)) 2) (pow.f64 (cbrt.f64 b) 2) (neg.f64 (.f64 (pow.f64 (sqrt.f64 a) 2) (pow.f64 (sqrt.f64 a) 2)))) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 a) 2)) (pow.f64 (sqrt.f64 a) 2) (.f64 (pow.f64 (sqrt.f64 a) 2) (pow.f64 (sqrt.f64 a) 2))))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
	40.1b	(.f64 (exp.f64 (log.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))))))
	27.0b	(.f64 (.f64 (.f64 2 (+.f64 (pow.f64 b 2) (.f64 (neg.f64 (pow.f64 (.f64 (cbrt.f64 a) (cbrt.f64 a)) 2)) (pow.f64 (cbrt.f64 a) 2)))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	27.1b	(.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))))
	27.1b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a))))) (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))))) (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))))) (.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))))))
	27.1b	(.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)))))
	43.6b	(.f64 (log.f64 (exp.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))))
	38.7b	(.f64 (.f64 (.f64 2 (pow.f64 b 2)) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	27.2b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 1)
	27.2b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 1/180 (.f64 angle (PI.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))))))
	51.7b	(.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))))
	28.4b	(.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 (-.f64 1 (.f64 1/64800 (.f64 (.f64 angle angle) (pow.f64 (PI.f64) 2)))))) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))))
	27.1b	(.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))))))
	41.0b	(.f64 (-.f64 (+.f64 (.f64 1/17496000 (.f64 (pow.f64 angle 3) (.f64 (pow.f64 (PI.f64) 3) (pow.f64 a 2)))) (.f64 1/90 (.f64 angle (.f64 (PI.f64) (pow.f64 b 2))))) (+.f64 (.f64 1/90 (.f64 angle (.f64 (PI.f64) (pow.f64 a 2)))) (.f64 1/17496000 (.f64 (pow.f64 angle 3) (.f64 (pow.f64 (PI.f64) 3) (pow.f64 b 2)))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
	27.2b	(.f64 (.f64 angle (.f64 1/90 (.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	51.7b	(.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)))))) (.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))))))
	40.5b	(.f64 (.f64 (.f64 2 (neg.f64 (.f64 a a))) (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))))))
	40.1b	(.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))))
▶	27.0b	(.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)))
	51.9b	(.f64 (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 2 (-.f64 (pow.f64 b 4) (pow.f64 a 4)))) (+.f64 (pow.f64 b 2) (pow.f64 a 2))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))

Compiler

Compiled 15920 to 11663 computations (26.7% saved)

localize40.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.5b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
	6.2b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	26.3b	(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
	26.9b	(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))

prune1.4s (7%)

Pruning

30 alts after pruning (30 fresh and 0 done)

	Pruned	Kept	Total
New	228	12	240
Fresh	4	18	22
Picked	1	0	1
Done	0	0	0
Total	233	30	263

Error

16.8b

Counts

263 → 30

Alt Table

Status	Error	Program
	42.7b	(.f64 (.f64 (.f64 2 (exp.f64 (log.f64 (-.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))))
	38.2b	(.f64 (.f64 (.f64 2 (expm1.f64 (log1p.f64 (-.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))))
	27.1b	(.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)))))))
	47.4b	(.f64 (.f64 (.f64 2 (+.f64 (fma.f64 (pow.f64 (.f64 (cbrt.f64 b) (cbrt.f64 b)) 2) (pow.f64 (cbrt.f64 b) 2) (neg.f64 (.f64 (pow.f64 (sqrt.f64 a) 2) (pow.f64 (sqrt.f64 a) 2)))) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 a) 2)) (pow.f64 (sqrt.f64 a) 2) (.f64 (pow.f64 (sqrt.f64 a) 2) (pow.f64 (sqrt.f64 a) 2))))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
	35.4b	(.f64 (expm1.f64 (log1p.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))))) (.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 (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)))))) (.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))))))
	51.8b	(.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)))))) (.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)))
	27.0b	(.f64 (.f64 (.f64 2 (+.f64 (pow.f64 b 2) (.f64 (neg.f64 (pow.f64 (.f64 (cbrt.f64 a) (cbrt.f64 a)) 2)) (pow.f64 (cbrt.f64 a) 2)))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	27.1b	(.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))))
	27.1b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a))))) (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))))) (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))))) (.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))))))
	27.1b	(.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)))))
	43.6b	(.f64 (log.f64 (exp.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))))
	27.2b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 1)
	27.2b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 1/180 (.f64 angle (PI.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))))))
	51.7b	(.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))))
▶	26.5b	(.f64 (.f64 (.f64 2 (fma.f64 (pow.f64 (.f64 (cbrt.f64 b) (cbrt.f64 b)) 2) (pow.f64 (cbrt.f64 b) 2) (neg.f64 (.f64 a a)))) (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)))
	27.1b	(.f64 (.f64 (.f64 2 (fma.f64 (.f64 (cbrt.f64 (pow.f64 b 2)) (cbrt.f64 (pow.f64 b 2))) (cbrt.f64 (pow.f64 b 2)) (neg.f64 (.f64 a a)))) (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)))
	40.9b	(.f64 (.f64 -2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 a a))) (.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)))
	40.1b	(.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))))
	43.0b	(.f64 (.f64 (.f64 2 (exp.f64 (log.f64 (-.f64 (.f64 b b) (.f64 a a))))) (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)))
	51.9b	(.f64 (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 2 (-.f64 (pow.f64 b 4) (pow.f64 a 4)))) (+.f64 (pow.f64 b 2) (pow.f64 a 2))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	38.7b	(.f64 (.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 b b))) (.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)))
	27.1b	(.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 1)) (cbrt.f64 1)))
	27.8b	(.f64 (.f64 angle (.f64 1/90 (.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))))) (.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)))
	41.0b	(.f64 (-.f64 (+.f64 (.f64 1/17496000 (.f64 (pow.f64 angle 3) (.f64 (pow.f64 (PI.f64) 3) (pow.f64 a 2)))) (.f64 1/90 (.f64 angle (.f64 (PI.f64) (pow.f64 b 2))))) (+.f64 (.f64 1/90 (.f64 angle (.f64 (PI.f64) (pow.f64 a 2)))) (.f64 1/17496000 (.f64 (pow.f64 angle 3) (.f64 (pow.f64 (PI.f64) 3) (pow.f64 b 2)))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
	28.4b	(.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 (-.f64 1 (.f64 1/64800 (.f64 (.f64 angle angle) (pow.f64 (PI.f64) 2)))))) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))))
	27.1b	(.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))))))
	27.2b	(.f64 (.f64 (.f64 2 (+.f64 (pow.f64 b 2) (.f64 (neg.f64 (pow.f64 (.f64 (cbrt.f64 a) (cbrt.f64 a)) 2)) (pow.f64 (cbrt.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)))
	27.3b	(.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 1/180 (*.f64 angle (PI.f64)))))) (cbrt.f64 1)))
	27.2b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a))))) (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))))) (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))))) (.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)))

Compiler

Compiled 14556 to 10818 computations (25.7% saved)

localize45.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.6b	(fma.f64 (pow.f64 (.f64 (cbrt.f64 b) (cbrt.f64 b)) 2) (pow.f64 (cbrt.f64 b) 2) (neg.f64 (.f64 a a)))
✓	6.2b	(.f64 (.f64 2 (fma.f64 (pow.f64 (.f64 (cbrt.f64 b) (cbrt.f64 b)) 2) (pow.f64 (cbrt.f64 b) 2) (neg.f64 (.f64 a a)))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	26.3b	(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
	26.9b	(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))

series1.0s (5.4%)

Counts

2 → 60

Calls

2 calls:

766.0ms

(*.f64 (*.f64 2 (fma.f64 (pow.f64 (*.f64 (cbrt.f64 b) (cbrt.f64 b)) 2) (pow.f64 (cbrt.f64 b) 2) (neg.f64 (*.f64 a a)))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))

280.0ms

(fma.f64 (pow.f64 (*.f64 (cbrt.f64 b) (cbrt.f64 b)) 2) (pow.f64 (cbrt.f64 b) 2) (neg.f64 (*.f64 a a)))

rewrite13.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-cbrt-cube_binary64`
7×	`add-exp-log_binary64`
7×	`pow1_binary64`
3×	`associate-r_binary64`
3×	`*-un-lft-identity_binary64`

Counts

2 → 30

Calls

2 calls:

8.0ms

(*.f64 (*.f64 2 (fma.f64 (pow.f64 (*.f64 (cbrt.f64 b) (cbrt.f64 b)) 2) (pow.f64 (cbrt.f64 b) 2) (neg.f64 (*.f64 a a)))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))

1.0ms

(fma.f64 (pow.f64 (*.f64 (cbrt.f64 b) (cbrt.f64 b)) 2) (pow.f64 (cbrt.f64 b) 2) (neg.f64 (*.f64 a a)))

simplify141.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

649×	`fma-def_binary64`
369×	`sub-neg_binary64`
332×	`cancel-sign-sub-inv_binary64`
206×	`associate-r_binary64`
204×	`distribute-rgt-in_binary64`

Counts

90 → 71

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	147	2684
1	383	2171
2	1451	1985
3	4362	1985
4	5024	1985

prune848.0ms (4.4%)

Pruning

30 alts after pruning (30 fresh and 0 done)

	Pruned	Kept	Total
New	122	3	125
Fresh	2	27	29
Picked	1	0	1
Done	0	0	0
Total	125	30	155

Error

16.8b

Counts

155 → 30

Alt Table

Status	Error	Program
	42.7b	(.f64 (.f64 (.f64 2 (exp.f64 (log.f64 (-.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))))
	38.2b	(.f64 (.f64 (.f64 2 (expm1.f64 (log1p.f64 (-.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))))
	27.1b	(.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)))))))
	47.4b	(.f64 (.f64 (.f64 2 (+.f64 (fma.f64 (pow.f64 (.f64 (cbrt.f64 b) (cbrt.f64 b)) 2) (pow.f64 (cbrt.f64 b) 2) (neg.f64 (.f64 (pow.f64 (sqrt.f64 a) 2) (pow.f64 (sqrt.f64 a) 2)))) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 a) 2)) (pow.f64 (sqrt.f64 a) 2) (.f64 (pow.f64 (sqrt.f64 a) 2) (pow.f64 (sqrt.f64 a) 2))))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
	35.4b	(.f64 (expm1.f64 (log1p.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))))) (.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)))
	27.3b	(.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 1/180 (*.f64 angle (PI.f64)))))) (cbrt.f64 1)))
	26.1b	(.f64 (.f64 (.f64 2 (fma.f64 (pow.f64 (.f64 (cbrt.f64 b) (cbrt.f64 b)) 2) (pow.f64 (cbrt.f64 b) 2) (neg.f64 (.f64 a a)))) (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 1)))
	51.7b	(.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)))))) (.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))))))
	51.8b	(.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)))))) (.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)))
	27.0b	(.f64 (.f64 (.f64 2 (+.f64 (pow.f64 b 2) (.f64 (neg.f64 (pow.f64 (.f64 (cbrt.f64 a) (cbrt.f64 a)) 2)) (pow.f64 (cbrt.f64 a) 2)))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	27.1b	(.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))))
	27.1b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a))))) (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))))) (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))))) (.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))))))
	27.1b	(.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)))))
	43.0b	(.f64 (.f64 (.f64 2 (exp.f64 (log.f64 (fma.f64 (pow.f64 (.f64 (cbrt.f64 b) (cbrt.f64 b)) 2) (pow.f64 (cbrt.f64 b) 2) (neg.f64 (.f64 a a)))))) (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)))
	27.2b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 1)
	27.2b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 1/180 (.f64 angle (PI.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))))))
	51.7b	(.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))))
	27.1b	(.f64 (.f64 (.f64 2 (fma.f64 (.f64 (cbrt.f64 (pow.f64 b 2)) (cbrt.f64 (pow.f64 b 2))) (cbrt.f64 (pow.f64 b 2)) (neg.f64 (.f64 a a)))) (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)))
	40.9b	(.f64 (.f64 -2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 a a))) (.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)))
	51.9b	(.f64 (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 2 (-.f64 (pow.f64 b 4) (pow.f64 a 4)))) (+.f64 (pow.f64 b 2) (pow.f64 a 2))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	38.7b	(.f64 (.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 b b))) (.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)))
	27.1b	(.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 1)) (cbrt.f64 1)))
	27.8b	(.f64 (.f64 angle (.f64 1/90 (.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))))) (.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)))
	41.0b	(.f64 (-.f64 (+.f64 (.f64 1/17496000 (.f64 (pow.f64 angle 3) (.f64 (pow.f64 (PI.f64) 3) (pow.f64 a 2)))) (.f64 1/90 (.f64 angle (.f64 (PI.f64) (pow.f64 b 2))))) (+.f64 (.f64 1/90 (.f64 angle (.f64 (PI.f64) (pow.f64 a 2)))) (.f64 1/17496000 (.f64 (pow.f64 angle 3) (.f64 (pow.f64 (PI.f64) 3) (pow.f64 b 2)))))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
	28.4b	(.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 (-.f64 1 (.f64 1/64800 (.f64 (.f64 angle angle) (pow.f64 (PI.f64) 2)))))) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))))
	27.1b	(.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))))))
	43.2b	(.f64 (.f64 (.f64 2 (log.f64 (exp.f64 (fma.f64 (pow.f64 (.f64 (cbrt.f64 b) (cbrt.f64 b)) 2) (pow.f64 (cbrt.f64 b) 2) (neg.f64 (.f64 a a)))))) (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)))
	27.2b	(.f64 (.f64 (.f64 2 (+.f64 (pow.f64 b 2) (.f64 (neg.f64 (pow.f64 (.f64 (cbrt.f64 a) (cbrt.f64 a)) 2)) (pow.f64 (cbrt.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)))
	27.2b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a))))) (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))))) (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))))) (.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)))
	40.1b	(.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))))

Compiler

Compiled 7690 to 5082 computations (33.9% saved)

regimes6.2s (31.7%)

Accuracy

Total 8.3b remaining (30%)

Threshold costs 0b (0%)

Counts

169 → 4

Compiler

Compiled 99273 to 76683 computations (22.8% saved)

bsearch21.0ms (0.1%)

Compiler: Compiled 10 to 8 computations (20% saved)

simplify21.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

21×	`*-commutative_binary64`
7×	`+-commutative_binary64`
6×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	221
1	88	221
2	98	221
3	104	221
4	107	221
5	105	221

end1.5s (7.8%)

Compiler: Compiled 1584 to 1207 computations (23.8% saved)

Details

analyze4.0ms (0%)

sample5.5s (28.5%)

simplify45.0ms (0.2%)

prune4.0ms (0%)

localize20.0ms (0.1%)

series126.0ms (0.6%)

rewrite43.0ms (0.2%)

simplify459.0ms (2.4%)

prune826.0ms (4.3%)

localize21.0ms (0.1%)

prune1.1s (5.9%)

localize40.0ms (0.2%)

prune1.4s (7%)

localize45.0ms (0.2%)

series1.0s (5.4%)

rewrite13.0ms (0.1%)

simplify141.0ms (0.7%)

prune848.0ms (4.4%)

regimes6.2s (31.7%)

bsearch21.0ms (0.1%)

simplify21.0ms (0.1%)

end1.5s (7.8%)

Profiling