Details

analyze2.1s (15.6%)

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
25%	62.4%	12.6%	8
31.2%	56.2%	12.6%	9
34.3%	53%	12.6%	10
42.9%	44.5%	12.6%	11
46.8%	40.6%	12.6%	12
47.8%	39.6%	12.6%	13
52.6%	34.8%	12.6%	14

Compiler

Compiled 25 to 20 computations (20% saved)

sample7.7s (58%)

Results

2.2s	1682×	body	1024	valid
1.8s	1395×	body	1024	invalid
1.2s	5166×	body	128	valid
725.0ms	801×	body	512	valid
638.0ms	699×	body	512	invalid
412.0ms	197×	body	2048	valid
205.0ms	407×	body	256	valid
205.0ms	364×	body	256	invalid
164.0ms	704×	body	128	invalid
17.0ms	3×	body	4096	valid

Compiler

Compiled 74 to 59 computations (20.3% saved)

simplify51.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

696×	`sqr-pow_binary64`
484×	`unswap-sqr_binary64`
388×	`fabs-mul_binary64`
362×	`cube-prod_binary64`
264×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	34
1	30	34
2	71	34
3	141	34
4	257	34
5	650	34
6	1020	34
7	1843	34
8	2060	34
9	2298	34
10	2608	34
11	3058	34
12	3650	34
13	4359	34

Stop Event

1×	node limit

Counts

1 → 1

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

20.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	20.0b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))

Compiler

Compiled 72 to 57 computations (20.8% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2)
✓	0.3b	(*.f64 (PI.f64) (/.f64 angle 180))
✓	23.6b	(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
✓	23.9b	(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))

series31.0ms (0.2%)

Counts

4 → 60

Calls

4 calls:

22.0ms	(pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2)
3.0ms	(*.f64 (PI.f64) (/.f64 angle 180))
3.0ms	(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
2.0ms	(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))

rewrite54.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

557×	`log-prod_binary64`
298×	`prod-diff_binary64`
213×	`expm1-udef_binary64`
213×	`log1p-udef_binary64`
189×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	252	44
2	2923	44

Stop Event

1×	node limit

Counts

4 → 95

Calls

4 calls:

52.0ms	(pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2)
52.0ms	(*.f64 (PI.f64) (/.f64 angle 180))
52.0ms	(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
52.0ms	(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))

simplify43.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

635×	`unswap-sqr_binary64`
579×	`fma-neg_binary64`
404×	`distribute-rgt-neg-in_binary64`
395×	`distribute-lft-neg-in_binary64`
296×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	83	1058
1	244	1050
2	886	1028
3	2680	1020

Stop Event

1×	node limit

Counts

155 → 124

prune373.0ms (2.8%)

Pruning

33 alts after pruning (33 fresh and 0 done)

	Pruned	Kept	Total
New	115	33	148
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	116	33	149

Error

18.7b

Counts

149 → 33

Alt Table

Status	Error	Program
	32.3b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))))))) 2))
	28.8b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (cbrt.f64 (pow.f64 (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) b) 2) 3)))
	20.1b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b)) 2) (.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b)) (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) b))))
	20.0b	(+.f64 (pow.f64 (.f64 a (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	32.3b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (cbrt.f64 (exp.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))))) 2))
	23.5b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))))) 2))
	33.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 (.f64 b b) (fma.f64 (.f64 (.f64 angle angle) (pow.f64 (PI.f64) 2)) 1/32400 (.f64 (pow.f64 (PI.f64) 4) (.f64 (pow.f64 angle 4) -1/3149280000)))))
	21.0b	(+.f64 (pow.f64 (.f64 a (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (cbrt.f64 (exp.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))
	23.5b	(+.f64 (pow.f64 (.f64 a (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (sin.f64 1)))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	33.0b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 b 2)))))
	23.6b	(+.f64 (pow.f64 (.f64 a (cos.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	20.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (exp.f64 (log.f64 (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) b) 2))))
	20.0b	(+.f64 (pow.f64 (.f64 a (cbrt.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 3))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	37.4b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b)) (.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b)) (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) b))))
	26.2b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b)) 2) (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) b) 4))))
	24.7b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 b (.f64 b (pow.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) 2))))
	38.7b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 2))) 2))
	28.6b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2)))
	20.0b	(+.f64 (pow.f64 (.f64 a (pow.f64 (cbrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 3)) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	20.1b	(+.f64 (pow.f64 (.f64 a (cos.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 3))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	23.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (.f64 angle 1/180) 3))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	20.4b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 3))) 2))
	20.0b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	32.5b	(+.f64 (pow.f64 (.f64 a (cos.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 3) 1/3))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	20.1b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	20.0b	(+.f64 (pow.f64 (.f64 a (cos.f64 (/.f64 (.f64 (PI.f64) angle) 180))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))
	20.3b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (pow.f64 (cbrt.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 3)) 2))
▶	19.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))
	19.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 (PI.f64) (/.f64 180 angle)))) 2))
	35.8b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (cos.f64 1)) (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))) (sin.f64 1)))) 2))
	39.0b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) (*.f64 angle 1/180)) 3) 1/3))) 2))
	20.0b	(+.f64 (pow.f64 (.f64 a (cos.f64 (/.f64 1 (/.f64 180 (.f64 (PI.f64) angle))))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))
	20.0b	(+.f64 (pow.f64 (.f64 a (cos.f64 (/.f64 (PI.f64) (/.f64 180 angle)))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))

Compiler

Compiled 6124 to 4621 computations (24.5% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (PI.f64) (/.f64 angle 180))
✓	0.4b	(.f64 1/180 (.f64 angle (PI.f64)))
	23.6b	(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
✓	23.6b	(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))

series6.0ms (0%)

Counts

2 → 4

Calls

2 calls:

3.0ms	(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
3.0ms	(.f64 1/180 (.f64 angle (PI.f64)))

rewrite36.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

598×	`log1p-expm1-u_binary64`
598×	`expm1-log1p-u_binary64`
343×	`log-prod_binary64`
324×	`prod-diff_binary64`
126×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	18
1	140	18
2	1631	18

Stop Event

1×	node limit

Counts

2 → 38

Calls

2 calls:

36.0ms	(.f64 1/180 (.f64 angle (PI.f64)))
36.0ms	(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))

simplify27.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

605×	`cancel-sign-sub-inv_binary64`
605×	`fma-def_binary64`
402×	`unswap-sqr_binary64`
380×	`fma-neg_binary64`
312×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	122
1	91	118
2	301	116
3	1362	116
4	4390	116

Stop Event

1×	node limit

Counts

42 → 46

prune398.0ms (3%)

Pruning

32 alts after pruning (32 fresh and 0 done)

	Pruned	Kept	Total
New	99	2	101
Fresh	2	30	32
Picked	1	0	1
Done	0	0	0
Total	102	32	134

Error

18.7b

Counts

134 → 32

Alt Table

Status	Error	Program
	32.3b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))))))) 2))
	28.8b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (cbrt.f64 (pow.f64 (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) b) 2) 3)))
	20.1b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b)) 2) (.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b)) (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) b))))
	20.0b	(+.f64 (pow.f64 (.f64 a (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	32.3b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (cbrt.f64 (exp.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))))) 2))
▶	19.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))
	23.5b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))))) 2))
	33.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 (.f64 b b) (fma.f64 (.f64 (.f64 angle angle) (pow.f64 (PI.f64) 2)) 1/32400 (.f64 (pow.f64 (PI.f64) 4) (.f64 (pow.f64 angle 4) -1/3149280000)))))
	21.0b	(+.f64 (pow.f64 (.f64 a (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (cbrt.f64 (exp.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))
	23.5b	(+.f64 (pow.f64 (.f64 a (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (sin.f64 1)))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	33.0b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 b 2)))))
	23.6b	(+.f64 (pow.f64 (.f64 a (cos.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	20.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (exp.f64 (log.f64 (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) b) 2))))
	20.0b	(+.f64 (pow.f64 (.f64 a (cbrt.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 3))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	37.4b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b)) (.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b)) (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) b))))
	26.2b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b)) 2) (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) b) 4))))
	24.7b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 b (.f64 b (pow.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) 2))))
	38.7b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 2))) 2))
	28.6b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2)))
	19.9b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))
	20.0b	(+.f64 (pow.f64 (.f64 a (pow.f64 (cbrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 3)) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	20.1b	(+.f64 (pow.f64 (.f64 a (cos.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 3))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	23.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (.f64 angle 1/180) 3))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	20.4b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 3))) 2))
	20.0b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	20.0b	(+.f64 (pow.f64 (.f64 a (cos.f64 (/.f64 (.f64 (PI.f64) angle) 180))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))
	20.3b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (pow.f64 (cbrt.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 3)) 2))
	19.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 (PI.f64) (/.f64 180 angle)))) 2))
	35.8b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (cos.f64 1)) (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))) (sin.f64 1)))) 2))
	32.5b	(+.f64 (pow.f64 (.f64 a (cos.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 3) 1/3))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	39.0b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) (*.f64 angle 1/180)) 3) 1/3))) 2))
	20.0b	(+.f64 (pow.f64 (.f64 a (cos.f64 (/.f64 1 (/.f64 180 (.f64 (PI.f64) angle))))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))

Compiler

Compiled 4681 to 3529 computations (24.6% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
	0.4b	(.f64 1/180 (.f64 angle (PI.f64)))
✓	23.5b	(cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))
	23.6b	(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))

series26.0ms (0.2%)

Counts

2 → 36

Calls

2 calls:

23.0ms	(pow.f64 (.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
3.0ms	(cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))

rewrite47.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

676×	`prod-diff_binary64`
227×	`expm1-udef_binary64`
227×	`log1p-udef_binary64`
138×	`add-sqr-sqrt_binary64`
131×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	26
1	286	26
2	3341	26

Stop Event

1×	node limit

Counts

2 → 42

Calls

2 calls:

46.0ms	(pow.f64 (.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
46.0ms	(cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))

simplify39.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

995×	`fma-neg_binary64`
638×	`associate-r_binary64`
619×	`associate-l_binary64`
199×	`fma-def_binary64`
166×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	760
1	167	756
2	602	736
3	3863	734

Stop Event

1×	node limit

Counts

78 → 61

prune427.0ms (3.2%)

Pruning

35 alts after pruning (35 fresh and 0 done)

	Pruned	Kept	Total
New	99	8	107
Fresh	4	27	31
Picked	1	0	1
Done	0	0	0
Total	104	35	139

Error

18.7b

Counts

139 → 35

Alt Table

Status	Error	Program
	20.1b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b)) 2) (.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b)) (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) b))))
	20.0b	(+.f64 (pow.f64 (.f64 a (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	32.3b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (cbrt.f64 (exp.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))))) 2))
	23.5b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))))) 2))
	33.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 (.f64 b b) (fma.f64 (.f64 (.f64 angle angle) (pow.f64 (PI.f64) 2)) 1/32400 (.f64 (pow.f64 (PI.f64) 4) (.f64 (pow.f64 angle 4) -1/3149280000)))))
	20.5b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))) 2) (expm1.f64 (log1p.f64 (pow.f64 (.f64 b (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))) 2))))
	26.2b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))) 2) (.f64 (pow.f64 (cbrt.f64 (.f64 b (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) 2) (cbrt.f64 (pow.f64 (.f64 b (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))) 4))))
	21.0b	(+.f64 (pow.f64 (.f64 a (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (cbrt.f64 (exp.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))
	28.6b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))) 2) (.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) 2)))
	23.5b	(+.f64 (pow.f64 (.f64 a (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (sin.f64 1)))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	23.8b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))) 2) (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) (.f64 b (.f64 b (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))))))
	23.6b	(+.f64 (pow.f64 (.f64 a (cos.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	20.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (exp.f64 (log.f64 (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) b) 2))))
	20.0b	(+.f64 (pow.f64 (.f64 a (cbrt.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 3))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	37.4b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b)) (.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b)) (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) b))))
	26.1b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))) 2) (sqrt.f64 (pow.f64 (.f64 b (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))) 4)))
	24.7b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 b (.f64 b (pow.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) 2))))
	38.7b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 2))) 2))
	19.9b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))
	20.0b	(+.f64 (pow.f64 (.f64 a (pow.f64 (cbrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 3)) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	20.1b	(+.f64 (pow.f64 (.f64 a (cos.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 3))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	23.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (.f64 angle 1/180) 3))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
▶	19.9b	(+.f64 (pow.f64 (.f64 a (log.f64 (exp.f64 (cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))
	20.4b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 3))) 2))
	20.0b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	19.9b	(+.f64 (pow.f64 (.f64 a (pow.f64 (cbrt.f64 (cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))) 3)) 2) (pow.f64 (.f64 b (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))
	32.5b	(+.f64 (pow.f64 (.f64 a (cos.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 3) 1/3))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	20.0b	(+.f64 (pow.f64 (.f64 a (cos.f64 (/.f64 (.f64 (PI.f64) angle) 180))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))
	20.3b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (pow.f64 (cbrt.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 3)) 2))
	30.3b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))) 2) (.f64 angle (.f64 (.f64 angle (pow.f64 (PI.f64) 2)) (.f64 (.f64 b b) 1/32400))))
	19.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 (PI.f64) (/.f64 180 angle)))) 2))
	35.8b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (cos.f64 1)) (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))) (sin.f64 1)))) 2))
	32.3b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))))))) 2))
	39.0b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) (*.f64 angle 1/180)) 3) 1/3))) 2))
	20.0b	(+.f64 (pow.f64 (.f64 a (cos.f64 (/.f64 1 (/.f64 180 (.f64 (PI.f64) angle))))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))

Compiler

Compiled 5181 to 3903 computations (24.7% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(pow.f64 (.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2)
	0.4b	(.f64 1/180 (.f64 angle (PI.f64)))
	23.5b	(cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))
	23.6b	(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))

prune417.0ms (3.1%)

Pruning

34 alts after pruning (34 fresh and 0 done)

	Pruned	Kept	Total
New	104	3	107
Fresh	3	31	34
Picked	1	0	1
Done	0	0	0
Total	108	34	142

Error

18.7b

Counts

142 → 34

Alt Table

Status	Error	Program
	20.1b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b)) 2) (.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b)) (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) b))))
	20.0b	(+.f64 (pow.f64 (.f64 a (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	32.3b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (cbrt.f64 (exp.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))))) 2))
	23.5b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))))) 2))
	33.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 (.f64 b b) (fma.f64 (.f64 (.f64 angle angle) (pow.f64 (PI.f64) 2)) 1/32400 (.f64 (pow.f64 (PI.f64) 4) (.f64 (pow.f64 angle 4) -1/3149280000)))))
	26.2b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))) 2) (.f64 (pow.f64 (cbrt.f64 (.f64 b (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) 2) (cbrt.f64 (pow.f64 (.f64 b (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))) 4))))
	21.0b	(+.f64 (pow.f64 (.f64 a (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (cbrt.f64 (exp.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))
	28.6b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))) 2) (.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) 2)))
	23.5b	(+.f64 (pow.f64 (.f64 a (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (sin.f64 1)))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	23.8b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))) 2) (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) (.f64 b (.f64 b (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))))))
	23.6b	(+.f64 (pow.f64 (.f64 a (cos.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	20.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (exp.f64 (log.f64 (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) b) 2))))
	20.0b	(+.f64 (pow.f64 (.f64 a (cbrt.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 3))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	37.4b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b)) (.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b)) (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) b))))
	24.7b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 b (.f64 b (pow.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) 2))))
	19.9b	(+.f64 (pow.f64 (.f64 a (log.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))) 3)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))
	38.7b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 2))) 2))
	19.9b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))
	26.1b	(+.f64 (pow.f64 (.f64 a (log.f64 (exp.f64 (cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))))) 2) (sqrt.f64 (pow.f64 (.f64 b (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))) 4)))
	20.0b	(+.f64 (pow.f64 (.f64 a (pow.f64 (cbrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 3)) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	20.1b	(+.f64 (pow.f64 (.f64 a (cos.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 3))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	23.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (.f64 angle 1/180) 3))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	20.4b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 3))) 2))
	20.0b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	20.0b	(+.f64 (pow.f64 (.f64 a (cos.f64 (/.f64 (.f64 (PI.f64) angle) 180))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))
	20.3b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (pow.f64 (cbrt.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 3)) 2))
	30.3b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))) 2) (.f64 angle (.f64 (.f64 angle (pow.f64 (PI.f64) 2)) (.f64 (.f64 b b) 1/32400))))
	19.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 (PI.f64) (/.f64 180 angle)))) 2))
	35.8b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (-.f64 (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (cos.f64 1)) (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))) (sin.f64 1)))) 2))
	32.3b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))))))) 2))
	32.5b	(+.f64 (pow.f64 (.f64 a (cos.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 3) 1/3))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	39.0b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) (*.f64 angle 1/180)) 3) 1/3))) 2))
	20.0b	(+.f64 (pow.f64 (.f64 a (cos.f64 (/.f64 1 (/.f64 180 (.f64 (PI.f64) angle))))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))
	20.5b	(+.f64 (pow.f64 (.f64 a (log.f64 (exp.f64 (cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))))) 2) (expm1.f64 (log1p.f64 (pow.f64 (.f64 b (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))) 2))))

Compiler

Compiled 4312 to 3254 computations (24.5% saved)

regimes821.0ms (6.2%)

Accuracy

Total 1.1b remaining (5.3%)

Threshold costs 0b (0%)

Counts

106 → 1

Compiler

Compiled 18250 to 14574 computations (20.1% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	38
1	27	38

Stop Event

1×

saturated

end668.0ms (5%)

Compiler: Compiled 1095 to 875 computations (20.1% saved)

Details

analyze2.1s (15.6%)

sample7.7s (58%)

simplify51.0ms (0.4%)

prune2.0ms (0%)

localize12.0ms (0.1%)

series31.0ms (0.2%)

rewrite54.0ms (0.4%)

simplify43.0ms (0.3%)

prune373.0ms (2.8%)

localize16.0ms (0.1%)

series6.0ms (0%)

rewrite36.0ms (0.3%)

simplify27.0ms (0.2%)

prune398.0ms (3%)

localize18.0ms (0.1%)

series26.0ms (0.2%)

rewrite47.0ms (0.4%)

simplify39.0ms (0.3%)

prune427.0ms (3.2%)

localize20.0ms (0.2%)

prune417.0ms (3.1%)

regimes821.0ms (6.2%)

simplify2.0ms (0%)

end668.0ms (5%)

Profiling