Details

analyze1.7s (13.2%)

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)

sample5.8s (45.6%)

Results

1.3s	1534×	body	1024	valid
1.2s	5289×	body	128	valid
1.1s	1280×	body	1024	invalid
481.0ms	774×	body	512	valid
376.0ms	86×	body	4096	valid
361.0ms	588×	body	512	invalid
291.0ms	195×	body	2048	valid
284.0ms	1219×	body	128	invalid
159.0ms	378×	body	256	valid
149.0ms	336×	body	256	invalid

Compiler

Compiled 80 to 65 computations (18.8% saved)

simplify38.0ms (0.3%)

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

29.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	29.1b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))

Compiler

Compiled 101 to 78 computations (22.8% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
✓	9.1b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
✓	21.7b	(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
✓	21.8b	(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))

series57.0ms (0.4%)

Counts

4 → 66

Calls

4 calls:

46.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
6.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
3.0ms	(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
3.0ms	(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))

rewrite75.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

751×	`prod-diff_binary64`
168×	`add-sqr-sqrt_binary64`
161×	`log1p-expm1-u_binary64`
161×	`expm1-log1p-u_binary64`
160×	`egg-rr`

Counts

4 → 160

Calls

4 calls:

72.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
72.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
72.0ms	(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
72.0ms	(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	55
1	343	55
2	3966	55
3	5253	55

simplify88.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

785×	`fma-def_binary64`
483×	`*-commutative_binary64`
482×	`cancel-sign-sub-inv_binary64`
441×	`sub-neg_binary64`
258×	`unswap-sqr_binary64`

Counts

226 → 195

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	121	1836
1	356	1516
2	1373	1474
3	4185	1474
4	4857	1474
5	4959	1474

prune317.0ms (2.5%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	173	22	195
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	174	22	196

Error

26.8b

Counts

196 → 22

Alt Table

Status	Error	Program
	46.4b	(.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 1 (fma.f64 b b (.f64 a a))))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	29.3b	(.f64 (.f64 (.f64 2 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 b) 2) (.f64 (cbrt.f64 b) b) (neg.f64 (.f64 a a))) (fma.f64 (neg.f64 a) a (.f64 a a)))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
	32.6b	(.f64 (.f64 angle (.f64 1/90 (.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	41.3b	(.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))) 3)) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	29.5b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (cbrt.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	41.4b	(.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))))
	44.8b	(.f64 (sqrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))) 2)) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	34.1b	(.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 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)) -1/34992000 (.f64 (pow.f64 (PI.f64) 7) (.f64 (pow.f64 angle 7) -1/30855889612800000000)))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	47.8b	(.f64 (pow.f64 (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))) 3) 1/3) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	29.1b	(.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))))))
	30.8b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 1)
	29.2b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 (cbrt.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2)))
	44.6b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sqrt.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) 2))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	43.1b	(.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))))
	34.0b	(.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))))
	52.0b	(.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))))
	39.4b	(.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))))
	29.4b	(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a))))) 3) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	29.8b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))) 2)))
▶	29.0b	(.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)))))
	45.8b	(.f64 (.f64 (.f64 2 (exp.f64 (log.f64 (-.f64 (.f64 b b) (.f64 a a))))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	29.4b	(.f64 (.f64 (.f64 2 (pow.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 a a))) 3)) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))

Compiler

Compiled 8260 to 5037 computations (39% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
	9.1b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	21.7b	(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
✓	22.0b	(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))

series3.0ms (0%)

Counts

1 → 4

Calls

1 calls:

3.0ms

(cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))

rewrite40.0ms (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`

Counts

1 → 23

Calls

1 calls:

40.0ms

(cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	140	10
2	1576	10
3	5161	10

simplify94.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

862×	`distribute-rgt-neg-in_binary64`
700×	`distribute-lft-neg-in_binary64`
488×	`fma-def_binary64`
475×	`cancel-sign-sub-inv_binary64`
353×	`*-commutative_binary64`

Counts

27 → 30

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	27	94
1	76	94
2	224	90
3	940	88
4	2678	82
5	4363	82
6	4966	82
7	4998	82
8	4962	82

prune367.0ms (2.9%)

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	190	8	198
Fresh	2	19	21
Picked	1	0	1
Done	0	0	0
Total	193	27	220

Error

26.7b

Counts

220 → 27

Alt Table

Status	Error	Program
	46.4b	(.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 1 (fma.f64 b b (.f64 a a))))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	29.3b	(.f64 (.f64 (.f64 2 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 b) 2) (.f64 (cbrt.f64 b) b) (neg.f64 (.f64 a a))) (fma.f64 (neg.f64 a) a (.f64 a a)))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
	34.0b	(.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))))
	50.0b	(.f64 (.f64 (.f64 2 (pow.f64 (pow.f64 (-.f64 (.f64 b b) (.f64 a a)) 3) 1/3)) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))))
	32.6b	(.f64 (.f64 angle (.f64 1/90 (.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	41.3b	(.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))) 3)) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	29.2b	(.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 1/180 (*.f64 angle (PI.f64)))))
▶	29.0b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))))
	52.0b	(.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))))
	41.4b	(.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))))
	29.7b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (cbrt.f64 (exp.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))))
	44.8b	(.f64 (sqrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))) 2)) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	39.4b	(.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))))
	32.0b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (sin.f64 1))))
	44.6b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sqrt.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) 2))) (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))))
	29.4b	(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a))))) 3) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	34.1b	(.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 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)) -1/34992000 (.f64 (pow.f64 (PI.f64) 7) (.f64 (pow.f64 angle 7) -1/30855889612800000000)))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	47.8b	(.f64 (pow.f64 (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))) 3) 1/3) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	45.7b	(.f64 (.f64 (.f64 2 (exp.f64 (log.f64 (-.f64 (.f64 b b) (.f64 a a))))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))))
	29.8b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))) 2)))
	30.8b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 1)
	29.2b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 (cbrt.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2)))
	44.6b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sqrt.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) 2))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	43.1b	(.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))))
	45.8b	(.f64 (.f64 (.f64 2 (exp.f64 (log.f64 (-.f64 (.f64 b b) (.f64 a a))))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	29.0b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
	29.4b	(.f64 (.f64 (.f64 2 (pow.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 a a))) 3)) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))

Compiler

Compiled 8742 to 5216 computations (40.3% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))
	9.1b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	21.7b	(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
	22.0b	(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))

series203.0ms (1.6%)

Counts

1 → 4

Calls

1 calls:

202.0ms

(log.f64 (sqrt.f64 (exp.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))

rewrite40.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

789×	`log1p-expm1-u_binary64`
789×	`expm1-log1p-u_binary64`
324×	`prod-diff_binary64`
94×	`add-sqr-sqrt_binary64`
89×	`add-log-exp_binary64`

Counts

1 → 20

Calls

1 calls:

40.0ms

(log.f64 (sqrt.f64 (exp.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	191	13
2	2108	13
3	5379	13

simplify77.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

475×	`fma-def_binary64`
433×	`associate-r_binary64`
341×	`associate-l_binary64`
327×	`sub-neg_binary64`
319×	`distribute-rgt-neg-in_binary64`

Counts

24 → 28

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	72	385
1	203	219
2	697	172
3	3151	172
4	4893	172
5	4982	172
6	4929	172

prune457.0ms (3.6%)

Pruning

32 alts after pruning (32 fresh and 0 done)

	Pruned	Kept	Total
New	166	8	174
Fresh	2	24	26
Picked	1	0	1
Done	0	0	0
Total	169	32	201

Error

26.5b

Counts

201 → 32

Alt Table

Status	Error	Program
	43.0b	(.f64 (exp.f64 (log.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))))) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))))
	44.6b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sqrt.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) 2))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	46.4b	(.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 1 (fma.f64 b b (.f64 a a))))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	29.3b	(.f64 (.f64 (.f64 2 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 b) 2) (.f64 (cbrt.f64 b) b) (neg.f64 (.f64 a a))) (fma.f64 (neg.f64 a) a (.f64 a a)))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (.f64 (PI.f64) (/.f64 angle 180))))
	29.2b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))))
	43.1b	(.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))))
	34.0b	(.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))))
	29.3b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (cbrt.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))))) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))))
	50.0b	(.f64 (.f64 (.f64 2 (pow.f64 (pow.f64 (-.f64 (.f64 b b) (.f64 a a)) 3) 1/3)) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))))
	32.6b	(.f64 (.f64 angle (.f64 1/90 (.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	41.3b	(.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))) 3)) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	29.2b	(.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 1/180 (*.f64 angle (PI.f64)))))
	52.0b	(.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))))
	41.4b	(.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))))
	44.6b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sqrt.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) 2))) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))))
	29.7b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (cbrt.f64 (exp.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))))
	44.8b	(.f64 (sqrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))) 2)) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	39.4b	(.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))))
	32.0b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (sin.f64 1))))
	31.9b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (sin.f64 1))))))))
	29.4b	(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a))))) 3) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	45.7b	(.f64 (.f64 (.f64 2 (exp.f64 (log.f64 (-.f64 (.f64 b b) (.f64 a a))))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))))
	29.8b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))) 2)))
	30.7b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (log.f64 (sqrt.f64 (E.f64)))))
▶	29.0b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
	30.8b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 1)
	29.2b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 (cbrt.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2)))
	29.3b	(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a))))) 3) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))))
	29.4b	(.f64 (.f64 (.f64 2 (pow.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 a a))) 3)) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	47.8b	(.f64 (pow.f64 (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))) 3) 1/3) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	29.3b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (+.f64 (log.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 1/4)) (log.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 1/4)))))
	45.8b	(.f64 (.f64 (.f64 2 (exp.f64 (log.f64 (-.f64 (.f64 b b) (.f64 a a))))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))

Compiler

Compiled 10148 to 7472 computations (26.4% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(expm1.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))))
	9.1b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	21.7b	(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
	22.0b	(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))

series5.0ms (0%)

Counts

1 → 12

Calls

1 calls:

5.0ms

(expm1.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))

rewrite38.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

667×	`log1p-expm1-u_binary64`
667×	`expm1-log1p-u_binary64`
324×	`prod-diff_binary64`
141×	`expm1-udef_binary64`
141×	`log1p-udef_binary64`

Counts

1 → 21

Calls

1 calls:

38.0ms

(expm1.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	157	12
2	1760	12
3	5054	12

simplify66.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

721×	`distribute-rgt-neg-in_binary64`
658×	`distribute-lft-neg-in_binary64`
528×	`*-commutative_binary64`
527×	`fma-neg_binary64`
281×	`sub-neg_binary64`

Counts

33 → 29

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	40	234
1	108	224
2	327	220
3	1358	212
4	3090	206
5	4949	206
6	4947	206

prune319.0ms (2.5%)

Pruning

36 alts after pruning (36 fresh and 0 done)

	Pruned	Kept	Total
New	108	9	117
Fresh	4	27	31
Picked	1	0	1
Done	0	0	0
Total	113	36	149

Error

26.5b

Counts

149 → 36

Alt Table

Status	Error	Program
	29.2b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))))
	43.0b	(.f64 (exp.f64 (log.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))))) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))))
	44.6b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sqrt.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) 2))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	29.2b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))))
	43.1b	(.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))))
	44.6b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sqrt.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) 2))) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
	29.3b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (cbrt.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))))) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))))
	34.0b	(.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))))
	50.0b	(.f64 (.f64 (.f64 2 (pow.f64 (pow.f64 (-.f64 (.f64 b b) (.f64 a a)) 3) 1/3)) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))))
	32.6b	(.f64 (.f64 angle (.f64 1/90 (.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	41.3b	(.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))) 3)) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	32.0b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (log.f64 (+.f64 1 (expm1.f64 (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (sin.f64 1)))))))
	52.0b	(.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))))
	29.0b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 3)))))
	44.6b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sqrt.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) 2))) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))))
	41.4b	(.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))))
	29.7b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (cbrt.f64 (exp.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))))
	44.8b	(.f64 (sqrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))) 2)) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	39.4b	(.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))))
	29.0b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (log.f64 (+.f64 1 (cbrt.f64 (pow.f64 (expm1.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 3)))))
	29.8b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (log.f64 (+.f64 1 (sqrt.f64 (pow.f64 (expm1.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2)))))
	31.9b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (sin.f64 1))))))))
	29.0b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (log.f64 (+.f64 1 (/.f64 (-.f64 (.f64 (exp.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) (exp.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) 1) (+.f64 (exp.f64 (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 1)))))
	45.7b	(.f64 (.f64 (.f64 2 (exp.f64 (log.f64 (-.f64 (.f64 b b) (.f64 a a))))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))))
	29.8b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))) 2)))
	39.3b	(.f64 (.f64 -2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 a a))) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
	29.3b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (+.f64 (log.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 1/4)) (log.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 1/4)))))
	29.3b	(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a))))) 3) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
	30.8b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 1)
	29.2b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (.f64 (cbrt.f64 (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2)))
	29.3b	(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a))))) 3) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))))
	29.4b	(.f64 (.f64 (.f64 2 (pow.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 a a))) 3)) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	46.4b	(.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 1 (fma.f64 b b (.f64 a a))))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	47.8b	(.f64 (pow.f64 (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))) 3) 1/3) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	45.8b	(.f64 (.f64 (.f64 2 (exp.f64 (log.f64 (-.f64 (.f64 b b) (.f64 a a))))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle 180))))
	30.7b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (log.f64 (sqrt.f64 (E.f64)))))

Compiler

Compiled 5377 to 3971 computations (26.1% saved)

regimes2.2s (16.9%)

Accuracy

Total 3.0b remaining (9.4%)

Threshold costs 0b (0%)

Counts

166 → 1

Compiler

Compiled 60720 to 45778 computations (24.6% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

7×	`*-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	23	42
1	31	42
2	36	42
3	38	42
4	39	42
5	39	42

end720.0ms (5.7%)

Compiler: Compiled 1312 to 1039 computations (20.8% saved)

Details

analyze1.7s (13.2%)

sample5.8s (45.6%)

simplify38.0ms (0.3%)

prune3.0ms (0%)

localize16.0ms (0.1%)

series57.0ms (0.4%)

rewrite75.0ms (0.6%)

simplify88.0ms (0.7%)

prune317.0ms (2.5%)

localize15.0ms (0.1%)

series3.0ms (0%)

rewrite40.0ms (0.3%)

simplify94.0ms (0.7%)

prune367.0ms (2.9%)

localize21.0ms (0.2%)

series203.0ms (1.6%)

rewrite40.0ms (0.3%)

simplify77.0ms (0.6%)

prune457.0ms (3.6%)

localize20.0ms (0.2%)

series5.0ms (0%)

rewrite38.0ms (0.3%)

simplify66.0ms (0.5%)

prune319.0ms (2.5%)

regimes2.2s (16.9%)

simplify3.0ms (0%)

end720.0ms (5.7%)

Profiling