Details

analyze2.1s (15.5%)

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
31.2%	56.2%	12.6%	9
34.3%	53%	12.6%	10
37.4%	49.9%	12.6%	11
46.8%	40.6%	12.6%	12
47.8%	39.6%	12.6%	13
49.7%	37.1%	13.2%	14

Compiler

Compiled 25 to 20 computations (20% saved)

sample7.6s (56.1%)

Results

2.1s	1644×	body	1024	valid
1.9s	1458×	body	1024	invalid
1.2s	5165×	body	128	valid
758.0ms	811×	body	512	valid
609.0ms	686×	body	512	invalid
420.0ms	219×	body	2048	valid
203.0ms	415×	body	256	valid
187.0ms	338×	body	256	invalid
135.0ms	599×	body	128	invalid
11.0ms	2×	body	4096	valid

Compiler

Compiled 74 to 59 computations (20.3% saved)

simplify48.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

696×	`sqr-pow_binary64`
484×	`unswap-sqr_binary64`
389×	`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	139	34
4	258	34
5	644	34
6	1016	34
7	1839	34
8	2056	34
9	2294	34
10	2604	34
11	3054	34
12	3648	34
13	4357	34

Stop Event

1×	node limit

Counts

1 → 2

prune4.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

22.4b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	22.5b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2))
	22.5b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 angle (/.f64 (PI.f64) 180)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 angle (/.f64 (PI.f64) 180)))) 2))

Status

Error

Program

▶

22.5b

(+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))

22.5b

(+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 angle (/.f64 (PI.f64) 180)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 angle (/.f64 (PI.f64) 180)))) 2))

Compiler

Compiled 141 to 110 computations (22% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)
✓	0.3b	(*.f64 (/.f64 angle 180) (PI.f64))
✓	26.9b	(sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))
✓	27.5b	(cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))

series30.0ms (0.2%)

Counts

4 → 60

Calls

4 calls:

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

rewrite50.0ms (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	2927	44

Stop Event

1×	node limit

Counts

4 → 96

Calls

4 calls:

49.0ms	(pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)
49.0ms	(*.f64 (/.f64 angle 180) (PI.f64))
49.0ms	(sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))
49.0ms	(cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))

simplify39.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

633×	`fma-neg_binary64`
422×	`distribute-rgt-neg-in_binary64`
411×	`distribute-lft-neg-in_binary64`
308×	`fma-def_binary64`
297×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	93	1058
1	276	1050
2	946	1028
3	2836	1012

Stop Event

1×	node limit

Counts

156 → 125

prune363.0ms (2.7%)

Pruning

30 alts after pruning (30 fresh and 0 done)

	Pruned	Kept	Total
New	120	30	150
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	122	30	152

Error

21.4b

Counts

152 → 30

Alt Table

Status	Error	Program
	28.0b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (cbrt.f64 (.f64 (pow.f64 (*.f64 angle 1/180) 3) (pow.f64 (PI.f64) 3))))) 2))
	33.3b	(+.f64 (pow.f64 (.f64 a (-.f64 (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (cos.f64 1)) (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (sin.f64 1)))) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	26.2b	(+.f64 (.f64 a (.f64 a (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2))
	32.4b	(+.f64 (pow.f64 (.f64 a (sin.f64 (cbrt.f64 (pow.f64 (.f64 angle (.f64 1/180 (PI.f64))) 3)))) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	22.5b	(+.f64 (pow.f64 (.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	29.2b	(+.f64 (pow.f64 (.f64 a (-.f64 (exp.f64 (log1p.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) 1)) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	40.4b	(+.f64 (pow.f64 (.f64 a (sin.f64 (pow.f64 (sqrt.f64 (.f64 angle (.f64 1/180 (PI.f64)))) 2))) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	29.2b	(+.f64 (pow.f64 (.f64 a (+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))))))) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	22.5b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	40.4b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (pow.f64 (sqrt.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) 2))) 2))
	29.2b	(+.f64 (pow.f64 (.f64 a (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (cbrt.f64 (exp.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))))))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2))
	23.1b	(+.f64 (exp.f64 (log.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) a) 2))) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	22.6b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (pow.f64 (cbrt.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) 3))) 2))
	41.9b	(+.f64 (.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) a)) (.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) a)) (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) a))) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	38.3b	(+.f64 (pow.f64 (.f64 a (sin.f64 (pow.f64 (pow.f64 (.f64 angle (.f64 1/180 (PI.f64))) 3) 1/3))) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	22.5b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (pow.f64 (cbrt.f64 (cos.f64 (.f64 angle (*.f64 1/180 (PI.f64))))) 3)) 2))
	22.5b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2))
	34.1b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (pow.f64 (pow.f64 (.f64 angle (*.f64 1/180 (PI.f64))) 3) 1/3))) 2))
	22.6b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))
	26.6b	(+.f64 (pow.f64 (.f64 a (sin.f64 (expm1.f64 (log1p.f64 (.f64 angle (.f64 1/180 (PI.f64))))))) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	26.5b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 angle (*.f64 1/180 (PI.f64)))))) (sin.f64 1)))) 2))
	26.4b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (expm1.f64 (log1p.f64 (.f64 angle (*.f64 1/180 (PI.f64))))))) 2))
	22.6b	(+.f64 (pow.f64 (.f64 a (sin.f64 (/.f64 1 (/.f64 180 (.f64 angle (PI.f64)))))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2))
	22.7b	(+.f64 (pow.f64 (.f64 a (.f64 (cbrt.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))) 2))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2))
	36.5b	(+.f64 (.f64 (.f64 a a) (fma.f64 (pow.f64 (PI.f64) 2) (.f64 angle (.f64 angle 1/32400)) (.f64 (pow.f64 (PI.f64) 4) (.f64 (pow.f64 angle 4) -1/3149280000)))) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2))
	28.1b	(+.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 1/32400 (.f64 (.f64 angle a) (.f64 angle a)))) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	22.8b	(+.f64 (pow.f64 (.f64 a (sin.f64 (pow.f64 (cbrt.f64 (.f64 angle (.f64 1/180 (PI.f64)))) 3))) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
▶	22.3b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b 1) 2))
	24.2b	(+.f64 (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) (.f64 a (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) a))) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	23.6b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (cbrt.f64 (exp.f64 (cos.f64 (.f64 angle (.f64 1/180 (PI.f64)))))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))))))) 2))

Compiler

Compiled 5958 to 4489 computations (24.7% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))))
	0.3b	(pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)
	0.3b	(*.f64 (/.f64 angle 180) (PI.f64))
	26.9b	(sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))

series13.0ms (0.1%)

Counts

1 → 24

Calls

1 calls:

13.0ms

(*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))))

rewrite38.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

832×	`log1p-expm1-u_binary64`
832×	`expm1-log1p-u_binary64`
298×	`prod-diff_binary64`
94×	`add-sqr-sqrt_binary64`
87×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	187	13
2	2273	13

Stop Event

1×	node limit

Counts

1 → 15

Calls

1 calls:

37.0ms

(*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))))

simplify39.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

664×	`fma-neg_binary64`
435×	`distribute-rgt-neg-in_binary64`
424×	`distribute-lft-neg-in_binary64`
341×	`associate-l_binary64`
326×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	412
1	147	408
2	440	404
3	2178	392
4	4333	392

Stop Event

1×	node limit

Counts

39 → 24

prune366.0ms (2.7%)

Pruning

32 alts after pruning (32 fresh and 0 done)

	Pruned	Kept	Total
New	99	19	118
Fresh	16	13	29
Picked	1	0	1
Done	0	0	0
Total	116	32	148

Error

21.4b

Counts

148 → 32

Alt Table

Status	Error	Program
	22.3b	(+.f64 (pow.f64 (.f64 a (sin.f64 (/.f64 (PI.f64) (/.f64 180 angle)))) 2) (pow.f64 (.f64 b 1) 2))
	22.5b	(+.f64 (pow.f64 (.f64 a (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))) 2) (cbrt.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))))) 2) (pow.f64 (*.f64 b 1) 2))
	28.0b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (cbrt.f64 (.f64 (pow.f64 (*.f64 angle 1/180) 3) (pow.f64 (PI.f64) 3))))) 2))
	26.2b	(+.f64 (.f64 a (.f64 a (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2))
	32.4b	(+.f64 (pow.f64 (.f64 a (sin.f64 (cbrt.f64 (pow.f64 (.f64 angle (.f64 1/180 (PI.f64))) 3)))) 2) (pow.f64 (.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2))
	22.3b	(+.f64 (pow.f64 (.f64 a (log1p.f64 (expm1.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))))) 2) (pow.f64 (.f64 b 1) 2))
	40.4b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (pow.f64 (sqrt.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) 2))) 2))
	26.7b	(+.f64 (pow.f64 (expm1.f64 (log1p.f64 (.f64 a (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))))) 2) (pow.f64 (.f64 b 1) 2))
	22.6b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (pow.f64 (cbrt.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) 3))) 2))
	22.6b	(+.f64 (pow.f64 (.f64 a (sin.f64 (pow.f64 (cbrt.f64 (.f64 angle (.f64 1/180 (PI.f64)))) 3))) 2) (pow.f64 (.f64 b 1) 2))
	40.1b	(+.f64 (pow.f64 (.f64 a (sin.f64 (pow.f64 (sqrt.f64 (.f64 angle (.f64 1/180 (PI.f64)))) 2))) 2) (pow.f64 (.f64 b 1) 2))
	22.5b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (pow.f64 (cbrt.f64 (cos.f64 (.f64 angle (*.f64 1/180 (PI.f64))))) 3)) 2))
	22.5b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2))
	41.7b	(+.f64 (.f64 (.f64 (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) a) (sqrt.f64 (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) a))) (sqrt.f64 (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) a))) (pow.f64 (.f64 b 1) 2))
	34.1b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (pow.f64 (pow.f64 (.f64 angle (*.f64 1/180 (PI.f64))) 3) 1/3))) 2))
	31.8b	(+.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 a 3) (pow.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) 3))) 2) (pow.f64 (.f64 b 1) 2))
	22.6b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))
▶	22.3b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2) (pow.f64 (.f64 b 1) 2))
	23.6b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (cbrt.f64 (exp.f64 (cos.f64 (.f64 angle (.f64 1/180 (PI.f64)))))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))))))) 2))
	29.0b	(+.f64 (pow.f64 (.f64 a (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (cbrt.f64 (exp.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))))))) 2) (pow.f64 (*.f64 b 1) 2))
	22.5b	(+.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 a (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) 3) 2) (pow.f64 (.f64 b 1) 2))
	26.5b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 angle (*.f64 1/180 (PI.f64)))))) (sin.f64 1)))) 2))
	26.4b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (expm1.f64 (log1p.f64 (.f64 angle (*.f64 1/180 (PI.f64))))))) 2))
	22.3b	(+.f64 (pow.f64 (.f64 a (sin.f64 (/.f64 angle (/.f64 180 (PI.f64))))) 2) (pow.f64 (.f64 b 1) 2))
	33.0b	(+.f64 (pow.f64 (.f64 a (-.f64 (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (cos.f64 1)) (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (sin.f64 1)))) 2) (pow.f64 (.f64 b 1) 2))
	32.1b	(+.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 a (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))) 3) 1/3) 2) (pow.f64 (.f64 b 1) 2))
	36.5b	(+.f64 (.f64 (.f64 a a) (fma.f64 (pow.f64 (PI.f64) 2) (.f64 angle (.f64 angle 1/32400)) (.f64 (pow.f64 (PI.f64) 4) (.f64 (pow.f64 angle 4) -1/3149280000)))) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2))
	28.1b	(+.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 1/32400 (.f64 (.f64 angle a) (.f64 angle a)))) (pow.f64 (.f64 b 1) 2))
	38.2b	(+.f64 (pow.f64 (.f64 a (sin.f64 (pow.f64 (pow.f64 (.f64 angle (.f64 1/180 (PI.f64))) 3) 1/3))) 2) (pow.f64 (.f64 b 1) 2))
	26.3b	(+.f64 (pow.f64 (.f64 a (sin.f64 (expm1.f64 (log1p.f64 (.f64 angle (.f64 1/180 (PI.f64))))))) 2) (pow.f64 (.f64 b 1) 2))
	24.0b	(+.f64 (.f64 (.f64 (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) a) a) (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))) (pow.f64 (.f64 b 1) 2))
	22.9b	(+.f64 (exp.f64 (log.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) a) 2))) (pow.f64 (.f64 b 1) 2))

Compiler

Compiled 4480 to 3503 computations (21.8% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 angle 1/180)
✓	0.3b	(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2)
✓	0.3b	(.f64 (PI.f64) (.f64 angle 1/180))
✓	27.0b	(sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))

series28.0ms (0.2%)

Counts

4 → 60

Calls

4 calls:

21.0ms	(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2)
3.0ms	(sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
3.0ms	(.f64 (PI.f64) (.f64 angle 1/180))
1.0ms	(*.f64 angle 1/180)

rewrite53.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

907×	`log1p-expm1-u_binary64`
907×	`expm1-log1p-u_binary64`
361×	`prod-diff_binary64`
107×	`add-sqr-sqrt_binary64`
101×	`add-cube-cbrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	225	38
2	2547	38

Stop Event

1×	node limit

Counts

4 → 70

Calls

4 calls:

51.0ms	(*.f64 angle 1/180)
51.0ms	(pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2)
51.0ms	(.f64 (PI.f64) (.f64 angle 1/180))
51.0ms	(sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))

simplify40.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

846×	`associate-l_binary64`
810×	`fma-neg_binary64`
604×	`distribute-rgt-neg-in_binary64`
247×	`fma-def_binary64`
246×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	78	932
1	231	924
2	793	906
3	3617	898

Stop Event

1×	node limit

Counts

130 → 91

prune310.0ms (2.3%)

Pruning

37 alts after pruning (37 fresh and 0 done)

	Pruned	Kept	Total
New	82	9	91
Fresh	3	28	31
Picked	1	0	1
Done	0	0	0
Total	86	37	123

Error

21.3b

Counts

123 → 37

Alt Table

Status	Error	Program
	22.6b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 (.f64 angle 1/180)) 3)))) 2) (pow.f64 (.f64 b 1) 2))
	22.3b	(+.f64 (pow.f64 (.f64 a (sin.f64 (/.f64 (PI.f64) (/.f64 180 angle)))) 2) (pow.f64 (.f64 b 1) 2))
	22.5b	(+.f64 (pow.f64 (.f64 a (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))) 2) (cbrt.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))))) 2) (pow.f64 (*.f64 b 1) 2))
	42.2b	(+.f64 (exp.f64 (.f64 2 (log.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) a)))) (pow.f64 (*.f64 b 1) 2))
	28.0b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (cbrt.f64 (.f64 (pow.f64 (*.f64 angle 1/180) 3) (pow.f64 (PI.f64) 3))))) 2))
	26.2b	(+.f64 (.f64 a (.f64 a (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2))
	22.4b	(+.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) a)) 2) (.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) a)) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) a))) (pow.f64 (.f64 b 1) 2))
▶	22.3b	(+.f64 (pow.f64 (.f64 a (log1p.f64 (expm1.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))))) 2) (pow.f64 (.f64 b 1) 2))
	40.4b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (pow.f64 (sqrt.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) 2))) 2))
	26.7b	(+.f64 (pow.f64 (expm1.f64 (log1p.f64 (.f64 a (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))))) 2) (pow.f64 (.f64 b 1) 2))
	22.6b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (pow.f64 (cbrt.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) 3))) 2))
	22.6b	(+.f64 (pow.f64 (.f64 a (sin.f64 (pow.f64 (cbrt.f64 (.f64 angle (.f64 1/180 (PI.f64)))) 3))) 2) (pow.f64 (.f64 b 1) 2))
	22.6b	(+.f64 (pow.f64 (.f64 a (sin.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 3))) 2) (pow.f64 (.f64 b 1) 2))
	26.7b	(+.f64 (pow.f64 (.f64 a (cbrt.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 3))) 2) (pow.f64 (.f64 b 1) 2))
	40.1b	(+.f64 (pow.f64 (.f64 a (sin.f64 (pow.f64 (sqrt.f64 (.f64 angle (.f64 1/180 (PI.f64)))) 2))) 2) (pow.f64 (.f64 b 1) 2))
	22.5b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (pow.f64 (cbrt.f64 (cos.f64 (.f64 angle (*.f64 1/180 (PI.f64))))) 3)) 2))
	22.5b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2))
	41.7b	(+.f64 (.f64 (.f64 (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) a) (sqrt.f64 (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) a))) (sqrt.f64 (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) a))) (pow.f64 (.f64 b 1) 2))
	34.1b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (pow.f64 (pow.f64 (.f64 angle (*.f64 1/180 (PI.f64))) 3) 1/3))) 2))
	31.8b	(+.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 a 3) (pow.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) 3))) 2) (pow.f64 (.f64 b 1) 2))
	22.6b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))
	22.5b	(+.f64 (pow.f64 (.f64 a (.f64 (cbrt.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2))) 2) (pow.f64 (*.f64 b 1) 2))
	24.0b	(+.f64 (.f64 (.f64 (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) a) a) (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))) (pow.f64 (.f64 b 1) 2))
	22.5b	(+.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 a (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) 3) 2) (pow.f64 (.f64 b 1) 2))
	26.5b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 angle (*.f64 1/180 (PI.f64)))))) (sin.f64 1)))) 2))
	32.4b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (cbrt.f64 (pow.f64 (.f64 angle 1/180) 3))))) 2) (pow.f64 (.f64 b 1) 2))
	36.3b	(+.f64 (fma.f64 1/32400 (.f64 angle (.f64 (.f64 angle (.f64 a a)) (pow.f64 (PI.f64) 2))) (.f64 (.f64 a a) (fma.f64 (pow.f64 angle 6) (.f64 1/765275040000000 (pow.f64 (PI.f64) 6)) (.f64 (pow.f64 angle 4) (.f64 (pow.f64 (PI.f64) 4) -1/3149280000))))) (pow.f64 (.f64 b 1) 2))
	26.4b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (expm1.f64 (log1p.f64 (.f64 angle (*.f64 1/180 (PI.f64))))))) 2))
	33.0b	(+.f64 (pow.f64 (.f64 a (-.f64 (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (cos.f64 1)) (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (sin.f64 1)))) 2) (pow.f64 (.f64 b 1) 2))
	32.1b	(+.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 a (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))) 3) 1/3) 2) (pow.f64 (.f64 b 1) 2))
	36.5b	(+.f64 (.f64 (.f64 a a) (fma.f64 (pow.f64 (PI.f64) 2) (.f64 angle (.f64 angle 1/32400)) (.f64 (pow.f64 (PI.f64) 4) (.f64 (pow.f64 angle 4) -1/3149280000)))) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2))
	32.9b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (-.f64 (exp.f64 (log1p.f64 (.f64 angle 1/180))) 1)))) 2) (pow.f64 (.f64 b 1) 2))
	28.1b	(+.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 1/32400 (.f64 (.f64 angle a) (.f64 angle a)))) (pow.f64 (.f64 b 1) 2))
	38.2b	(+.f64 (pow.f64 (.f64 a (sin.f64 (pow.f64 (pow.f64 (.f64 angle (.f64 1/180 (PI.f64))) 3) 1/3))) 2) (pow.f64 (.f64 b 1) 2))
	26.3b	(+.f64 (pow.f64 (.f64 a (sin.f64 (expm1.f64 (log1p.f64 (.f64 angle (.f64 1/180 (PI.f64))))))) 2) (pow.f64 (.f64 b 1) 2))
	22.9b	(+.f64 (exp.f64 (log.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) a) 2))) (pow.f64 (.f64 b 1) 2))
	23.6b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (cbrt.f64 (exp.f64 (cos.f64 (.f64 angle (.f64 1/180 (PI.f64)))))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))))))) 2))

Compiler

Compiled 4060 to 3202 computations (21.1% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 a (log1p.f64 (expm1.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))))))
✓	0.2b	(log1p.f64 (expm1.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))))
✓	0.3b	(pow.f64 (.f64 a (log1p.f64 (expm1.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64))))))) 2)
✓	26.9b	(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))

series41.0ms (0.3%)

Counts

4 → 72

Calls

4 calls:

22.0ms	(pow.f64 (.f64 a (log1p.f64 (expm1.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64))))))) 2)
13.0ms	(.f64 a (log1p.f64 (expm1.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))))))
3.0ms	(log1p.f64 (expm1.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))))
3.0ms	(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))

rewrite50.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

555×	`log-prod_binary64`
519×	`prod-diff_binary64`
204×	`expm1-udef_binary64`
204×	`log1p-udef_binary64`
184×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	49
1	247	49
2	2754	49

Stop Event

1×	node limit

Counts

4 → 93

Calls

4 calls:

49.0ms	(.f64 a (log1p.f64 (expm1.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))))))
49.0ms	(log1p.f64 (expm1.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))))
49.0ms	(pow.f64 (.f64 a (log1p.f64 (expm1.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64))))))) 2)
49.0ms	(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))

simplify45.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

804×	`fma-neg_binary64`
462×	`distribute-rgt-neg-in_binary64`
452×	`distribute-lft-neg-in_binary64`
382×	`*-commutative_binary64`
372×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	105	1402
1	318	1386
2	1075	1354
3	3220	1344

Stop Event

1×	node limit

Counts

165 → 101

prune371.0ms (2.7%)

Pruning

39 alts after pruning (38 fresh and 1 done)

	Pruned	Kept	Total
New	94	7	101
Fresh	5	31	36
Picked	0	1	1
Done	0	0	0
Total	99	39	138

Error

21.3b

Counts

138 → 39

Alt Table

Status	Error	Program
	22.6b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 (.f64 angle 1/180)) 3)))) 2) (pow.f64 (.f64 b 1) 2))
	22.3b	(+.f64 (pow.f64 (.f64 a (sin.f64 (/.f64 (PI.f64) (/.f64 180 angle)))) 2) (pow.f64 (.f64 b 1) 2))
	42.2b	(+.f64 (exp.f64 (.f64 2 (log.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) a)))) (pow.f64 (*.f64 b 1) 2))
	22.5b	(+.f64 (pow.f64 (.f64 a (log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/180 (.f64 (PI.f64) angle)))) 3)))) 2) (pow.f64 (.f64 b 1) 2))
	28.0b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (cbrt.f64 (.f64 (pow.f64 (*.f64 angle 1/180) 3) (pow.f64 (PI.f64) 3))))) 2))
	26.2b	(+.f64 (.f64 a (.f64 a (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2))
	22.4b	(+.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) a)) 2) (.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) a)) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) a))) (pow.f64 (.f64 b 1) 2))
✓	22.3b	(+.f64 (pow.f64 (.f64 a (log1p.f64 (expm1.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))))) 2) (pow.f64 (.f64 b 1) 2))
	31.4b	(+.f64 (pow.f64 (.f64 a (log1p.f64 (expm1.f64 (-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (sin.f64 (.f64 1/180 (.f64 (PI.f64) angle)))) 2))) (log.f64 (-.f64 1 (expm1.f64 (sin.f64 (.f64 1/180 (.f64 (PI.f64) angle)))))))))) 2) (pow.f64 (.f64 b 1) 2))
	28.1b	(+.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 1/32400 (.f64 (.f64 angle a) (.f64 angle a)))) (pow.f64 (.f64 b 1) 2))
	29.0b	(+.f64 (pow.f64 (.f64 a (log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (pow.f64 (expm1.f64 (sin.f64 (.f64 1/180 (.f64 (PI.f64) angle)))) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (sin.f64 (.f64 1/180 (.f64 (PI.f64) angle)))) 2) (expm1.f64 (sin.f64 (.f64 1/180 (.f64 (PI.f64) angle))))))))))) 2) (pow.f64 (.f64 b 1) 2))
	40.4b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (pow.f64 (sqrt.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) 2))) 2))
	26.7b	(+.f64 (pow.f64 (expm1.f64 (log1p.f64 (.f64 a (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))))) 2) (pow.f64 (.f64 b 1) 2))
	29.0b	(+.f64 (pow.f64 (.f64 a (log1p.f64 (expm1.f64 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (.f64 1/180 (.f64 (PI.f64) angle)))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (.f64 1/180 (.f64 (PI.f64) angle)))))))))) 2) (pow.f64 (.f64 b 1) 2))
	38.2b	(+.f64 (pow.f64 (.f64 a (sin.f64 (pow.f64 (pow.f64 (.f64 angle (.f64 1/180 (PI.f64))) 3) 1/3))) 2) (pow.f64 (.f64 b 1) 2))
	22.6b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (pow.f64 (cbrt.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) 3))) 2))
	22.6b	(+.f64 (pow.f64 (.f64 a (sin.f64 (pow.f64 (cbrt.f64 (.f64 angle (.f64 1/180 (PI.f64)))) 3))) 2) (pow.f64 (.f64 b 1) 2))
	22.6b	(+.f64 (pow.f64 (.f64 a (sin.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 3))) 2) (pow.f64 (.f64 b 1) 2))
	29.0b	(+.f64 (pow.f64 (.f64 a (log1p.f64 (expm1.f64 (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (sin.f64 (.f64 1/180 (.f64 (PI.f64) angle))))) (cbrt.f64 (exp.f64 (sin.f64 (.f64 1/180 (.f64 (PI.f64) angle))))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (.f64 1/180 (.f64 (PI.f64) angle)))))))))) 2) (pow.f64 (*.f64 b 1) 2))
	26.7b	(+.f64 (pow.f64 (.f64 a (cbrt.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 3))) 2) (pow.f64 (.f64 b 1) 2))
	40.1b	(+.f64 (pow.f64 (.f64 a (sin.f64 (pow.f64 (sqrt.f64 (.f64 angle (.f64 1/180 (PI.f64)))) 2))) 2) (pow.f64 (.f64 b 1) 2))
	22.5b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (pow.f64 (cbrt.f64 (cos.f64 (.f64 angle (*.f64 1/180 (PI.f64))))) 3)) 2))
	22.5b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2))
	41.7b	(+.f64 (.f64 (.f64 (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) a) (sqrt.f64 (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) a))) (sqrt.f64 (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) a))) (pow.f64 (.f64 b 1) 2))
	34.1b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (pow.f64 (pow.f64 (.f64 angle (*.f64 1/180 (PI.f64))) 3) 1/3))) 2))
	22.6b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))
	34.4b	(+.f64 (.f64 (.f64 a a) (.f64 (pow.f64 (PI.f64) 2) (.f64 angle (.f64 angle 1/32400)))) (pow.f64 (.f64 b 1) 2))
	24.0b	(+.f64 (.f64 (.f64 (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) a) a) (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))) (pow.f64 (.f64 b 1) 2))
	22.4b	(+.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 a (sin.f64 (.f64 1/180 (.f64 (PI.f64) angle))))) 2) (.f64 (cbrt.f64 (.f64 a (sin.f64 (.f64 1/180 (.f64 (PI.f64) angle))))) (.f64 a (sin.f64 (.f64 1/180 (.f64 (PI.f64) angle)))))) (pow.f64 (.f64 b 1) 2))
	36.3b	(+.f64 (fma.f64 1/32400 (.f64 angle (.f64 (.f64 angle (.f64 a a)) (pow.f64 (PI.f64) 2))) (.f64 (.f64 a a) (fma.f64 (pow.f64 angle 6) (.f64 1/765275040000000 (pow.f64 (PI.f64) 6)) (.f64 (pow.f64 angle 4) (.f64 (pow.f64 (PI.f64) 4) -1/3149280000))))) (pow.f64 (.f64 b 1) 2))
	32.4b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (cbrt.f64 (pow.f64 (.f64 angle 1/180) 3))))) 2) (pow.f64 (.f64 b 1) 2))
	26.4b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (expm1.f64 (log1p.f64 (.f64 angle (*.f64 1/180 (PI.f64))))))) 2))
	33.0b	(+.f64 (pow.f64 (.f64 a (-.f64 (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (cos.f64 1)) (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (sin.f64 1)))) 2) (pow.f64 (.f64 b 1) 2))
	32.1b	(+.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 a (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))) 3) 1/3) 2) (pow.f64 (.f64 b 1) 2))
	32.9b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (-.f64 (exp.f64 (log1p.f64 (.f64 angle 1/180))) 1)))) 2) (pow.f64 (.f64 b 1) 2))
	26.3b	(+.f64 (pow.f64 (.f64 a (sin.f64 (expm1.f64 (log1p.f64 (.f64 angle (.f64 1/180 (PI.f64))))))) 2) (pow.f64 (.f64 b 1) 2))
	22.9b	(+.f64 (exp.f64 (log.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) a) 2))) (pow.f64 (.f64 b 1) 2))
	23.6b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (cbrt.f64 (exp.f64 (cos.f64 (.f64 angle (.f64 1/180 (PI.f64)))))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))))))) 2))
	26.5b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 angle (*.f64 1/180 (PI.f64)))))) (sin.f64 1)))) 2))

Compiler

Compiled 3667 to 2755 computations (24.9% saved)

regimes1.2s (8.9%)

Accuracy

Total 1.3b remaining (6.2%)

Threshold costs 0b (0%)

Counts

160 → 1

Compiler

Compiled 24832 to 20298 computations (18.3% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
1×	`+-commutative_binary64`
1×	`*-rgt-identity_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	22
1	24	22

Stop Event

1×

saturated

end682.0ms (5%)

Compiler: Compiled 1134 to 925 computations (18.4% saved)

Details

analyze2.1s (15.5%)

sample7.6s (56.1%)

simplify48.0ms (0.4%)

prune4.0ms (0%)

localize13.0ms (0.1%)

series30.0ms (0.2%)

rewrite50.0ms (0.4%)

simplify39.0ms (0.3%)

prune363.0ms (2.7%)

localize11.0ms (0.1%)

series13.0ms (0.1%)

rewrite38.0ms (0.3%)

simplify39.0ms (0.3%)

prune366.0ms (2.7%)

localize11.0ms (0.1%)

series28.0ms (0.2%)

rewrite53.0ms (0.4%)

simplify40.0ms (0.3%)

prune310.0ms (2.3%)

localize13.0ms (0.1%)

series41.0ms (0.3%)

rewrite50.0ms (0.4%)

simplify45.0ms (0.3%)

prune371.0ms (2.7%)

regimes1.2s (8.9%)

simplify2.0ms (0%)

end682.0ms (5%)

Profiling