Details

analyze646.0ms (3.7%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
25%	25%	74.9%	0.1%	0%	0%	0%	6
25%	25%	74.9%	0.1%	0%	0%	0%	7
28.6%	25%	62.4%	0.1%	12.5%	0%	0%	8
35.7%	31.2%	56.2%	0.1%	12.5%	0%	0%	9
35.7%	31.2%	56.2%	0.1%	12.5%	0%	0%	10
44.6%	39%	48.4%	0.1%	12.5%	0%	0%	11
51.3%	44.9%	42.5%	0.1%	12.5%	0%	0%	12

Compiler

Compiled 25 to 20 computations (20% saved)

sample6.8s (38.8%)

Results

1.8s	1654×	body	1024	valid
1.7s	1427×	body	1024	infinite
1.6s	5586×	body	256	valid
528.0ms	822×	body	512	valid
467.0ms	730×	body	512	infinite
357.0ms	187×	body	2048	valid
271.0ms	1023×	body	256	infinite
43.0ms	7×	body	4096	valid

Bogosity

preprocess150.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

982×	`fabs-mul_binary64`
912×	`cube-prod_binary64`
688×	`sqr-pow_binary64`
472×	`unpow3_binary64`
464×	`cube-mult_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	136
1	86	136
2	224	136
3	489	136
4	942	136
5	1307	136
6	1967	136
7	2280	136
8	2611	136
9	3084	136
10	3773	136
11	4706	136
12	5504	136
13	6262	136
14	7124	136
15	7776	136
16	7952	136
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 27 to 22 computations (18.5% saved)

simplify154.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1040×	`sqr-pow_binary64`
784×	`cube-prod_binary64`
735×	`fabs-mul_binary64`
484×	`unswap-sqr_binary64`
360×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	34
1	30	34
2	71	34
3	144	34
4	260	34
5	662	34
6	1036	34
7	1859	34
8	2076	34
9	2316	34
10	2626	34
11	3076	34
12	3666	34
13	4373	34
14	5255	34
15	5951	34
16	6403	34
17	6835	34
18	6987	34
19	7059	34
20	7886	34

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(+.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))

Outputs
(+.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))

eval1.0ms (0%)

Compiler: Compiled 24 to 19 computations (20.8% saved)

prune1.0ms (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

20.2b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	20.2b	(+.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 24 to 19 computations (20.8% saved)

localize41.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2)
✓	0.3b	(*.f64 (PI.f64) (/.f64 angle 180))
✓	23.6b	(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
✓	24.2b	(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))

Compiler

Compiled 86 to 58 computations (32.6% saved)

series17.0ms (0.1%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
7.0ms	b	@	0	(pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2)
1.0ms	angle	@	0	(pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2)
1.0ms	angle	@	0	(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
1.0ms	angle	@	0	(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
1.0ms	angle	@	inf	(pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2)

rewrite79.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

557×	`log-prod_binary64`
350×	`pow-prod-down_binary64`
304×	`pow2_binary64`
298×	`prod-diff_binary64`
215×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	253	44
2	2928	44

Stop Event

1×	node limit

Counts

4 → 112

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (PI.f64) angle) 1/180)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (PI.f64) angle) 1/180)))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) (pow.f64 (cbrt.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) 2) (cbrt.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) (sqrt.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (PI.f64) angle) 1/180)))) (cos.f64 1)) (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (PI.f64) angle) 1/180)))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) 2) (cbrt.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) (sqrt.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (.f64 (PI.f64) angle) 1/180))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 angle) 1/180) (PI.f64))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 angle) 1/180) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 angle) 1/180) (PI.f64)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 angle) 1/180) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (PI.f64) (/.f64 180 angle))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 180 (.f64 (PI.f64) angle)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) angle) 180)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (PI.f64) angle)) -180)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 angle) (PI.f64)) -180)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) (neg.f64 angle)) -180)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 (PI.f64) angle) 1/180) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (.f64 (PI.f64) angle) 2) 32400) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (.f64 (PI.f64) angle) 1/180) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 180 (.f64 (PI.f64) angle)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (.f64 (PI.f64) angle) 2) 32400))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 angle) 1/180) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 (PI.f64) angle) 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (.f64 (PI.f64) angle) 1/180) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (.f64 (PI.f64) angle) 1/180)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (.f64 (PI.f64) angle) 1/180)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (.f64 (PI.f64) angle) 1/180)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 (*.f64 (PI.f64) angle) 1/180)) 1) 1))))))
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simplify211.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

684×	`associate-+l+_binary64`
630×	`sqr-pow_binary64`
549×	`unswap-sqr_binary64`
474×	`fma-def_binary64`
464×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	87	1046
1	245	1044
2	849	1028
3	2130	1028
4	3494	1028
5	3726	1028
6	3889	1028
7	4079	1028
8	4325	1028
9	4679	1028
10	6040	1028
11	6588	1028
12	7239	1028
13	7683	1028
14	7967	1028

Stop Event

1×	node limit

Counts

172 → 141

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))))
(+.f64 1 (+.f64 (.f64 1/25194240000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))) (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (.f64 -1/24488801280000000 (.f64 (pow.f64 angle 6) (pow.f64 (PI.f64) 6))) (+.f64 1 (+.f64 (.f64 1/25194240000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))) (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(.f64 1/180 (.f64 angle (PI.f64)))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (.f64 1/180 (.f64 angle (PI.f64))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (+.f64 (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5))) (.f64 -1/30855889612800000000 (.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7))))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(+.f64 (.f64 1/32400 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))) (.f64 -1/3149280000 (.f64 (pow.f64 angle 4) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 4)))))
(+.f64 (.f64 (pow.f64 angle 6) (+.f64 (.f64 1/1224440064000000 (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 6))) (.f64 1/2040733440000000 (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 6))))) (+.f64 (.f64 1/32400 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))) (.f64 -1/3149280000 (.f64 (pow.f64 angle 4) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 4))))))
(+.f64 (.f64 (+.f64 (.f64 -1/2777030065152000000000 (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 8))) (.f64 -1/396718580736000000000 (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 8)))) (pow.f64 angle 8)) (+.f64 (.f64 (pow.f64 angle 6) (+.f64 (.f64 1/1224440064000000 (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 6))) (.f64 1/2040733440000000 (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 6))))) (+.f64 (.f64 1/32400 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))) (.f64 -1/3149280000 (.f64 (pow.f64 angle 4) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 4)))))))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))

Outputs
1
(+.f64 1 (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))))
(+.f64 1 (.f64 (.f64 -1/64800 (*.f64 angle angle)) (pow.f64 (PI.f64) 2)))
(fma.f64 -1/64800 (.f64 angle (.f64 angle (pow.f64 (PI.f64) 2))) 1)
(fma.f64 -1/64800 (.f64 (.f64 angle angle) (pow.f64 (PI.f64) 2)) 1)
(fma.f64 (.f64 angle angle) (.f64 -1/64800 (pow.f64 (PI.f64) 2)) 1)
(+.f64 1 (+.f64 (.f64 1/25194240000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))) (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2)))))
(+.f64 1 (fma.f64 1/25194240000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4)) (.f64 (.f64 -1/64800 (.f64 angle angle)) (pow.f64 (PI.f64) 2))))
(+.f64 1 (fma.f64 -1/64800 (.f64 angle (.f64 angle (pow.f64 (PI.f64) 2))) (.f64 1/25194240000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4)))))
(fma.f64 -1/64800 (.f64 (.f64 angle angle) (pow.f64 (PI.f64) 2)) (fma.f64 (pow.f64 angle 4) (*.f64 1/25194240000 (pow.f64 (PI.f64) 4)) 1))
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(fma.f64 (pow.f64 angle 6) (.f64 (pow.f64 (PI.f64) 6) (.f64 b (.f64 b 1/765275040000000))) (fma.f64 (.f64 (.f64 b b) (pow.f64 (PI.f64) 8)) (.f64 (pow.f64 angle 8) -1/347128758144000000000) (.f64 (.f64 b b) (+.f64 (.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))))))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2))
(.f64 b (.f64 b (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2))
(.f64 b (.f64 b (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2))
(.f64 b (.f64 b (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2))
(.f64 b (.f64 b (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2))
(.f64 b (.f64 b (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2))
(.f64 b (.f64 b (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2))
(.f64 b (.f64 b (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2))
(.f64 b (.f64 b (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)))

eval94.0ms (0.5%)

Compiler: Compiled 4617 to 3267 computations (29.2% saved)

prune111.0ms (0.6%)

Pruning

51 alts after pruning (51 fresh and 0 done)

	Pruned	Kept	Total
New	118	51	169
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	119	51	170

Error

18.7b

Counts

170 → 51

Alt Table

Click to see full alt table

Status	Error	Program
	23.9b	(+.f64 (pow.f64 (.f64 a (exp.f64 (log.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	20.2b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2))
	20.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (expm1.f64 (log1p.f64 (pow.f64 (.f64 (sin.f64 (.f64 (*.f64 (PI.f64) angle) 1/180)) b) 2))))
	20.3b	(+.f64 (pow.f64 (.f64 a (log1p.f64 (expm1.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	20.3b	(+.f64 (pow.f64 (.f64 a (-.f64 (exp.f64 (log1p.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180)))) 1)) 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 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))
	30.8b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 (*.f64 (PI.f64) angle) 1/180)) b) 6)))
	44.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) 2))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	20.3b	(+.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))
	20.6b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) 2) (cbrt.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180))))) 2))
	20.3b	(+.f64 (pow.f64 (.f64 a (expm1.f64 (log1p.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
▶	19.7b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	44.9b	(+.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 (*.f64 (PI.f64) angle) 1/180)) 2))) 2))
	20.3b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (/.f64 (.f64 (PI.f64) angle) 180))) 2))
	20.3b	(+.f64 (pow.f64 (.f64 a (cbrt.f64 (pow.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) 3))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	21.2b	(+.f64 (pow.f64 (.f64 a (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180))))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	20.3b	(+.f64 (pow.f64 (.f64 a (cos.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) 3))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	23.6b	(+.f64 (pow.f64 (.f64 a (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (PI.f64) angle) 1/180)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (PI.f64) angle) 1/180)))) (sin.f64 1)))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	20.6b	(+.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 (*.f64 (PI.f64) angle) 1/180)) 3))) 2))
▶	20.3b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (/.f64 1 (/.f64 180 (.f64 (PI.f64) angle))))) 2))
▶	20.3b	(+.f64 (pow.f64 (.f64 a (log.f64 (exp.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	20.5b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) b)) 5) (cbrt.f64 (.f64 (sin.f64 (.f64 (*.f64 (PI.f64) angle) 1/180)) b))))
	23.7b	(+.f64 (pow.f64 (.f64 a (cos.f64 (expm1.f64 (log1p.f64 (.f64 (.f64 (PI.f64) angle) 1/180))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	31.8b	(+.f64 (pow.f64 (.f64 a (cos.f64 (pow.f64 (pow.f64 (.f64 (.f64 (PI.f64) angle) 1/180) 3) 1/3))) 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 180 angle)))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	35.0b	(+.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 (.f64 (PI.f64) angle) 1/180)))) (cos.f64 1)) (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 (*.f64 (PI.f64) angle) 1/180)))) (sin.f64 1)))) 2))
	23.3b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 (.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) b) b) (sin.f64 (.f64 (*.f64 (PI.f64) angle) 1/180))))
	23.7b	(+.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 (*.f64 (PI.f64) angle) 1/180))))) 2))
	39.1b	(+.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 (*.f64 (PI.f64) angle) 1/180) 3) 1/3))) 2))
	20.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 (.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) b) (sin.f64 (.f64 (*.f64 (PI.f64) angle) 1/180))) b))
	24.7b	(+.f64 (pow.f64 (.f64 a (cos.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 (PI.f64) angle) 1/180) 3)))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	27.5b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (cbrt.f64 (pow.f64 (sin.f64 (.f64 (*.f64 (PI.f64) angle) 1/180)) 3))) 2))
▶	20.3b	(+.f64 (pow.f64 (.f64 a (pow.f64 (cbrt.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) 3)) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	25.1b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (.f64 angle (*.f64 (PI.f64) 1/180))) 2))
	31.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (cbrt.f64 (pow.f64 (.f64 (*.f64 (PI.f64) angle) 1/180) 3)))) 2))
▶	25.2b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
	31.5b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (log.f64 (exp.f64 (sin.f64 (.f64 (*.f64 (PI.f64) angle) 1/180))))) 2))
	20.3b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	44.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) 3)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))
	45.6b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (pow.f64 (sqrt.f64 (sin.f64 (.f64 (*.f64 (PI.f64) angle) 1/180))) 2)) 2))
	34.5b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 (.f64 angle angle) (.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (*.f64 b b)))))
	30.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) b) 6)) 1/3)))
	20.6b	(+.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 (*.f64 (PI.f64) angle) 1/180))) 3)) 2))
	20.3b	(+.f64 (pow.f64 (.f64 a (.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) 2) (cbrt.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180))))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))
	34.8b	(+.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 b 2) (pow.f64 (PI.f64) 2)))))
	29.7b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 (pow.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) 2) (.f64 b b)))
	44.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) 1/3)))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	23.4b	(+.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 (PI.f64) 1/180))) 2))))
	37.5b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (exp.f64 (.f64 2 (log.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) b)))))
	45.4b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (*.f64 (PI.f64) angle) 1/180))) 1/3)))) 2))
	20.3b	(+.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))

Compiler

Compiled 2820 to 2252 computations (20.1% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))))
	0.2b	(pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2)
	0.3b	(*.f64 (PI.f64) (/.f64 angle 180))
	23.6b	(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))

Compiler

Compiled 66 to 46 computations (30.3% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	angle	@	0	(.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))))
0.0ms	b	@	0	(.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))))
0.0ms	b	@	inf	(.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))))
0.0ms	b	@	-inf	(.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))))
0.0ms	angle	@	-inf	(.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))))

rewrite54.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

897×	`pow1_binary64`
831×	`add-log-exp_binary64`
831×	`log1p-expm1-u_binary64`
831×	`expm1-log1p-u_binary64`
814×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	187	13
2	2253	13

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

Inputs
(.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 b (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 b) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 b 3) (pow.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 3) (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 b (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 b) (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 b 3) (pow.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 3) (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))))))

simplify157.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1780×	`fma-def_binary64`
792×	`sqr-pow_binary64`
562×	`*-commutative_binary64`
434×	`unswap-sqr_binary64`
354×	`pow-sqr_binary64`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	36	406
1	103	406
2	318	403
3	1323	400
4	1966	400
5	2285	400
6	2992	400
7	3102	400
8	3246	388
9	5023	388
10	5294	388
11	5719	388
12	6279	388
13	7018	388
14	7968	388

Stop Event

1×	node limit

Counts

37 → 22

Calls

Call 1

Inputs
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 1/180 (.f64 angle (*.f64 b (PI.f64))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 b (pow.f64 (PI.f64) 3)))) (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))))
(+.f64 (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (.f64 b (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 b (pow.f64 (PI.f64) 3)))) (.f64 1/180 (.f64 angle (*.f64 b (PI.f64))))))
(+.f64 (.f64 -1/30855889612800000000 (.f64 (pow.f64 angle 7) (.f64 b (pow.f64 (PI.f64) 7)))) (+.f64 (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (.f64 b (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 b (pow.f64 (PI.f64) 3)))) (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))

Outputs
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 1/180 (.f64 angle (*.f64 b (PI.f64))))
(.f64 (.f64 b angle) (*.f64 (PI.f64) 1/180))
(.f64 b (.f64 1/180 (*.f64 angle (PI.f64))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 b (pow.f64 (PI.f64) 3)))) (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))))
(fma.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 b (pow.f64 (PI.f64) 3))) (.f64 1/180 (.f64 angle (*.f64 b (PI.f64)))))
(fma.f64 1/180 (.f64 b (.f64 angle (PI.f64))) (.f64 (.f64 b (pow.f64 (PI.f64) 3)) (*.f64 -1/34992000 (pow.f64 angle 3))))
(.f64 b (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (.f64 -1/34992000 (*.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)))))
(.f64 b (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (.f64 (pow.f64 (PI.f64) 3) (*.f64 -1/34992000 (pow.f64 angle 3)))))
(.f64 b (fma.f64 1/180 (.f64 angle (PI.f64)) (.f64 (pow.f64 (PI.f64) 3) (.f64 -1/34992000 (pow.f64 angle 3)))))
(.f64 b (fma.f64 1/180 (.f64 angle (PI.f64)) (.f64 (pow.f64 angle 3) (.f64 -1/34992000 (pow.f64 (PI.f64) 3)))))
(+.f64 (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (.f64 b (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 b (pow.f64 (PI.f64) 3)))) (.f64 1/180 (.f64 angle (*.f64 b (PI.f64))))))
(fma.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (.f64 b (pow.f64 (PI.f64) 5))) (fma.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 b (pow.f64 (PI.f64) 3))) (.f64 1/180 (.f64 angle (*.f64 b (PI.f64))))))
(fma.f64 1/22674816000000 (.f64 b (.f64 (pow.f64 (PI.f64) 5) (pow.f64 angle 5))) (fma.f64 1/180 (.f64 b (.f64 angle (PI.f64))) (.f64 (.f64 b (pow.f64 (PI.f64) 3)) (*.f64 -1/34992000 (pow.f64 angle 3)))))
(fma.f64 -1/34992000 (.f64 b (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (.f64 b (+.f64 (.f64 (pow.f64 angle 5) (.f64 1/22674816000000 (pow.f64 (PI.f64) 5))) (.f64 1/180 (*.f64 angle (PI.f64))))))
(.f64 b (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (+.f64 (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5))) (.f64 (pow.f64 (PI.f64) 3) (*.f64 -1/34992000 (pow.f64 angle 3))))))
(.f64 b (fma.f64 1/180 (.f64 angle (PI.f64)) (fma.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)) (.f64 1/22674816000000 (*.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5))))))
(.f64 b (fma.f64 1/180 (.f64 angle (PI.f64)) (fma.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)) (.f64 (pow.f64 angle 3) (*.f64 -1/34992000 (pow.f64 (PI.f64) 3))))))
(+.f64 (.f64 -1/30855889612800000000 (.f64 (pow.f64 angle 7) (.f64 b (pow.f64 (PI.f64) 7)))) (+.f64 (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (.f64 b (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 b (pow.f64 (PI.f64) 3)))) (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))))))
(fma.f64 -1/30855889612800000000 (.f64 (pow.f64 angle 7) (.f64 b (pow.f64 (PI.f64) 7))) (fma.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (.f64 b (pow.f64 (PI.f64) 5))) (fma.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 b (pow.f64 (PI.f64) 3))) (.f64 1/180 (.f64 angle (*.f64 b (PI.f64)))))))
(fma.f64 -1/30855889612800000000 (.f64 b (.f64 (pow.f64 (PI.f64) 7) (pow.f64 angle 7))) (fma.f64 1/22674816000000 (.f64 b (.f64 (pow.f64 (PI.f64) 5) (pow.f64 angle 5))) (fma.f64 1/180 (.f64 b (.f64 angle (PI.f64))) (.f64 (.f64 b (pow.f64 (PI.f64) 3)) (*.f64 -1/34992000 (pow.f64 angle 3))))))
(fma.f64 -1/30855889612800000000 (.f64 b (.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7))) (fma.f64 -1/34992000 (.f64 b (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (.f64 b (+.f64 (.f64 (pow.f64 angle 5) (.f64 1/22674816000000 (pow.f64 (PI.f64) 5))) (.f64 1/180 (*.f64 angle (PI.f64)))))))
(.f64 b (+.f64 (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (.f64 (pow.f64 (PI.f64) 3) (.f64 -1/34992000 (pow.f64 angle 3)))) (+.f64 (.f64 (pow.f64 angle 7) (.f64 -1/30855889612800000000 (pow.f64 (PI.f64) 7))) (.f64 1/22674816000000 (*.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5))))))
(.f64 b (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (+.f64 (.f64 (pow.f64 angle 7) (.f64 -1/30855889612800000000 (pow.f64 (PI.f64) 7))) (+.f64 (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5))) (.f64 (pow.f64 (PI.f64) 3) (*.f64 -1/34992000 (pow.f64 angle 3)))))))
(.f64 b (fma.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)) (fma.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)) (fma.f64 1/180 (.f64 angle (PI.f64)) (.f64 (pow.f64 angle 7) (.f64 -1/30855889612800000000 (pow.f64 (PI.f64) 7)))))))
(.f64 b (fma.f64 1/180 (.f64 angle (PI.f64)) (fma.f64 (pow.f64 angle 3) (.f64 -1/34992000 (pow.f64 (PI.f64) 3)) (fma.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)) (.f64 (pow.f64 angle 7) (.f64 -1/30855889612800000000 (pow.f64 (PI.f64) 7)))))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))

localize39.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 angle (PI.f64))
✓	0.3b	(.f64 1/180 (.f64 angle (PI.f64)))
	0.3b	(*.f64 (PI.f64) (/.f64 angle 180))
	24.2b	(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))

Compiler

Compiled 86 to 52 computations (39.5% saved)

series2.0ms (0%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	angle	@	-inf	(*.f64 angle (PI.f64))
0.0ms	angle	@	0	(.f64 1/180 (.f64 angle (PI.f64)))
0.0ms	angle	@	-inf	(.f64 1/180 (.f64 angle (PI.f64)))
0.0ms	angle	@	inf	(.f64 1/180 (.f64 angle (PI.f64)))
0.0ms	angle	@	0	(*.f64 angle (PI.f64))

rewrite47.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

555×	`pow1_binary64`
512×	`add-log-exp_binary64`
512×	`log1p-expm1-u_binary64`
512×	`expm1-log1p-u_binary64`
502×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	121	13
2	1394	13

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/180 (*.f64 angle (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/180 (*.f64 angle (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/180 (*.f64 angle (PI.f64))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 angle (PI.f64)) 2) 1/32400))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/180) (*.f64 angle (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/180 (*.f64 angle (PI.f64))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 angle (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 angle (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 angle (PI.f64)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 angle (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 angle (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 angle (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 angle) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 angle (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 angle (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 angle (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 angle (PI.f64))))))))

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

22 → 22

Calls

Call 1

Inputs

Outputs

localize52.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (PI.f64) angle)
	0.3b	(*.f64 (PI.f64) (/.f64 angle 180))
✓	23.8b	(sin.f64 (/.f64 1 (/.f64 180 (*.f64 (PI.f64) angle))))
	24.2b	(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))

Compiler

Compiled 110 to 70 computations (36.4% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	angle	@	0	(sin.f64 (/.f64 1 (/.f64 180 (*.f64 (PI.f64) angle))))
0.0ms	angle	@	inf	(sin.f64 (/.f64 1 (/.f64 180 (*.f64 (PI.f64) angle))))
0.0ms	angle	@	-inf	(sin.f64 (/.f64 1 (/.f64 180 (*.f64 (PI.f64) angle))))
0.0ms	angle	@	inf	(*.f64 (PI.f64) angle)
0.0ms	angle	@	0	(*.f64 (PI.f64) angle)

rewrite58.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

874×	`pow1_binary64`
814×	`add-log-exp_binary64`
814×	`log1p-expm1-u_binary64`
814×	`expm1-log1p-u_binary64`
798×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	15
1	189	15
2	2284	15

Stop Event

1×	node limit

Counts

2 → 29

Calls

Call 1

Inputs
(sin.f64 (/.f64 1 (/.f64 180 (*.f64 (PI.f64) angle))))
(*.f64 (PI.f64) angle)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sin.f64 (*.f64 (*.f64 1/180 angle) (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (*.f64 (*.f64 1/180 angle) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 (*.f64 1/180 angle) (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (*.f64 (*.f64 1/180 angle) (PI.f64)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (*.f64 1/180 angle) (PI.f64)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (*.f64 1/180 angle) (PI.f64)))) 2) (cbrt.f64 (sin.f64 (*.f64 (*.f64 1/180 angle) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 (*.f64 1/180 angle) (PI.f64)))) (sqrt.f64 (sin.f64 (*.f64 (*.f64 1/180 angle) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 (*.f64 1/180 angle) (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 (*.f64 1/180 angle) (PI.f64))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (*.f64 (*.f64 1/180 angle) (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (*.f64 (*.f64 1/180 angle) (PI.f64)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (*.f64 (*.f64 1/180 angle) (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (*.f64 (*.f64 1/180 angle) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (*.f64 (*.f64 1/180 angle) (PI.f64))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (*.f64 (*.f64 1/180 angle) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (*.f64 (*.f64 1/180 angle) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (*.f64 (*.f64 1/180 angle) (PI.f64)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (PI.f64) angle)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) angle) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) angle) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (PI.f64) angle)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (PI.f64) angle)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (PI.f64) angle) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (PI.f64)) angle))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) angle) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 angle 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) angle)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) angle)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (PI.f64) angle)))))))

simplify143.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

998×	`unswap-sqr_binary64`
811×	`fma-def_binary64`
792×	`sqr-pow_binary64`
478×	`*-commutative_binary64`
468×	`cube-prod_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	256
1	87	256
2	252	256
3	940	256
4	2016	256
5	2685	256
6	3966	256
7	4076	256
8	4218	256
9	4402	256
10	4663	256
11	5055	256
12	5621	256
13	6360	256
14	7310	256
15	7856	256

Stop Event

1×	node limit

Counts

53 → 38

Calls

Call 1

Inputs
(.f64 1/180 (.f64 angle (PI.f64)))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (.f64 1/180 (.f64 angle (PI.f64))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (+.f64 (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5))) (.f64 -1/30855889612800000000 (.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7))))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(*.f64 angle (PI.f64))
(*.f64 angle (PI.f64))
(*.f64 angle (PI.f64))
(*.f64 angle (PI.f64))
(*.f64 angle (PI.f64))
(*.f64 angle (PI.f64))
(*.f64 angle (PI.f64))
(*.f64 angle (PI.f64))
(*.f64 angle (PI.f64))
(*.f64 angle (PI.f64))
(*.f64 angle (PI.f64))
(*.f64 angle (PI.f64))

Outputs
(.f64 1/180 (.f64 angle (PI.f64)))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (.f64 1/180 (.f64 angle (PI.f64))))
(fma.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)) (.f64 1/180 (*.f64 angle (PI.f64))))
(fma.f64 1/180 (.f64 angle (PI.f64)) (.f64 (pow.f64 (PI.f64) 3) (*.f64 -1/34992000 (pow.f64 angle 3))))
(fma.f64 1/180 (.f64 angle (PI.f64)) (.f64 -1/34992000 (*.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))))
(.f64 angle (fma.f64 1/180 (PI.f64) (.f64 (pow.f64 (PI.f64) 3) (.f64 -1/34992000 (.f64 angle angle)))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))))
(fma.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)) (fma.f64 1/180 (.f64 angle (PI.f64)) (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))))
(fma.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)) (fma.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)) (.f64 1/180 (.f64 angle (PI.f64)))))
(fma.f64 1/180 (.f64 angle (PI.f64)) (fma.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)) (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))))
(fma.f64 1/180 (.f64 angle (PI.f64)) (fma.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/22674816000000 (pow.f64 angle 5)))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (+.f64 (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5))) (.f64 -1/30855889612800000000 (.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7))))))
(fma.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)) (fma.f64 1/180 (.f64 angle (PI.f64)) (fma.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)) (.f64 -1/30855889612800000000 (*.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7))))))
(fma.f64 1/180 (.f64 angle (PI.f64)) (fma.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)) (fma.f64 (pow.f64 (PI.f64) 5) (.f64 1/22674816000000 (pow.f64 angle 5)) (.f64 -1/30855889612800000000 (*.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7))))))
(fma.f64 1/180 (.f64 angle (PI.f64)) (fma.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)) (fma.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)) (.f64 (pow.f64 (PI.f64) 7) (*.f64 -1/30855889612800000000 (pow.f64 angle 7))))))
(fma.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 -1/34992000 (pow.f64 angle 3)) (fma.f64 (pow.f64 (PI.f64) 7) (.f64 -1/30855889612800000000 (pow.f64 angle 7)) (.f64 1/180 (*.f64 angle (PI.f64))))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(*.f64 angle (PI.f64))
(*.f64 angle (PI.f64))
(*.f64 angle (PI.f64))
(*.f64 angle (PI.f64))
(*.f64 angle (PI.f64))
(*.f64 angle (PI.f64))
(*.f64 angle (PI.f64))
(*.f64 angle (PI.f64))
(*.f64 angle (PI.f64))
(*.f64 angle (PI.f64))
(*.f64 angle (PI.f64))
(*.f64 angle (PI.f64))

localize62.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(log.f64 (exp.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180))))
	0.3b	(*.f64 (PI.f64) (/.f64 angle 180))
	23.6b	(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
✓	24.2b	(cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180))

Compiler

Compiled 116 to 73 computations (37.1% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	angle	@	0	(cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180))
0.0ms	angle	@	0	(log.f64 (exp.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180))))
0.0ms	angle	@	inf	(log.f64 (exp.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180))))
0.0ms	angle	@	inf	(cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180))
0.0ms	angle	@	-inf	(log.f64 (exp.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180))))

rewrite54.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

718×	`pow1_binary64`
659×	`add-log-exp_binary64`
659×	`log1p-expm1-u_binary64`
659×	`expm1-log1p-u_binary64`
645×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	163	20
2	1801	20

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) (sqrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) (sqrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))))

simplify219.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1130×	`sqr-pow_binary64`
990×	`fma-def_binary64`
598×	`pow-sqr_binary64`
481×	`cube-prod_binary64`
432×	`fabs-mul_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	30	348
1	74	344
2	200	336
3	831	336
4	2173	324
5	2682	318
6	2993	300
7	3218	300
8	3462	300
9	3782	300
10	4210	300
11	4730	300
12	5361	300
13	5623	300
14	5843	300
15	6013	300
16	6155	300
17	6271	300
18	7054	300
19	7926	300

Stop Event

1×	node limit

Counts

62 → 29

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))))
(+.f64 1 (+.f64 (.f64 1/25194240000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))) (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (.f64 -1/24488801280000000 (.f64 (pow.f64 angle 6) (pow.f64 (PI.f64) 6))) (+.f64 1 (+.f64 (.f64 1/25194240000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))) (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
1
(+.f64 1 (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))))
(+.f64 1 (+.f64 (.f64 1/25194240000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))) (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (.f64 -1/24488801280000000 (.f64 (pow.f64 angle 6) (pow.f64 (PI.f64) 6))) (+.f64 1 (+.f64 (.f64 1/25194240000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))) (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))

Outputs
1
(+.f64 1 (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))))
(+.f64 1 (.f64 -1/64800 (.f64 (*.f64 angle angle) (pow.f64 (PI.f64) 2))))
(fma.f64 -1/64800 (.f64 angle (.f64 angle (pow.f64 (PI.f64) 2))) 1)
(fma.f64 (pow.f64 (PI.f64) 2) (.f64 -1/64800 (.f64 angle angle)) 1)
(fma.f64 -1/64800 (.f64 (.f64 angle angle) (pow.f64 (PI.f64) 2)) 1)
(fma.f64 -1/64800 (pow.f64 (*.f64 angle (PI.f64)) 2) 1)
(+.f64 1 (+.f64 (.f64 1/25194240000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))) (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2)))))
(+.f64 1 (fma.f64 1/25194240000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4)) (.f64 -1/64800 (.f64 (.f64 angle angle) (pow.f64 (PI.f64) 2)))))
(+.f64 1 (fma.f64 -1/64800 (.f64 angle (.f64 angle (pow.f64 (PI.f64) 2))) (.f64 1/25194240000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4)))))
(fma.f64 (pow.f64 angle 4) (.f64 1/25194240000 (pow.f64 (PI.f64) 4)) (fma.f64 (pow.f64 (PI.f64) 2) (.f64 -1/64800 (*.f64 angle angle)) 1))
(fma.f64 -1/64800 (.f64 (.f64 angle angle) (pow.f64 (PI.f64) 2)) (fma.f64 1/25194240000 (*.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4)) 1))
(fma.f64 -1/64800 (.f64 (.f64 angle angle) (pow.f64 (PI.f64) 2)) (fma.f64 1/25194240000 (pow.f64 (*.f64 angle (PI.f64)) 4) 1))
(fma.f64 -1/64800 (pow.f64 (.f64 angle (PI.f64)) 2) (fma.f64 1/25194240000 (pow.f64 (.f64 angle (PI.f64)) 4) 1))
(+.f64 (.f64 -1/24488801280000000 (.f64 (pow.f64 angle 6) (pow.f64 (PI.f64) 6))) (+.f64 1 (+.f64 (.f64 1/25194240000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))) (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))))))
(fma.f64 -1/24488801280000000 (.f64 (pow.f64 angle 6) (pow.f64 (PI.f64) 6)) (+.f64 1 (fma.f64 1/25194240000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4)) (.f64 -1/64800 (.f64 (*.f64 angle angle) (pow.f64 (PI.f64) 2))))))
(fma.f64 -1/24488801280000000 (.f64 (pow.f64 angle 6) (pow.f64 (PI.f64) 6)) (+.f64 1 (fma.f64 -1/64800 (.f64 angle (.f64 angle (pow.f64 (PI.f64) 2))) (.f64 1/25194240000 (*.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))))))
(fma.f64 -1/24488801280000000 (.f64 (pow.f64 angle 6) (pow.f64 (PI.f64) 6)) (fma.f64 (pow.f64 angle 4) (.f64 1/25194240000 (pow.f64 (PI.f64) 4)) (fma.f64 (pow.f64 (PI.f64) 2) (.f64 -1/64800 (.f64 angle angle)) 1)))
(fma.f64 (.f64 angle angle) (.f64 -1/64800 (pow.f64 (PI.f64) 2)) (fma.f64 -1/24488801280000000 (.f64 (pow.f64 angle 6) (pow.f64 (PI.f64) 6)) (fma.f64 1/25194240000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4)) 1)))
(fma.f64 angle (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/64800 angle)) (fma.f64 -1/24488801280000000 (.f64 (pow.f64 angle 6) (pow.f64 (PI.f64) 6)) (fma.f64 1/25194240000 (pow.f64 (.f64 angle (PI.f64)) 4) 1)))
(fma.f64 angle (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/64800 angle)) (fma.f64 -1/24488801280000000 (pow.f64 (.f64 angle (PI.f64)) 6) (fma.f64 1/25194240000 (pow.f64 (.f64 angle (PI.f64)) 4) 1)))
(fma.f64 -1/64800 (pow.f64 (.f64 angle (PI.f64)) 2) (fma.f64 -1/24488801280000000 (pow.f64 (.f64 angle (PI.f64)) 6) (fma.f64 1/25194240000 (pow.f64 (*.f64 angle (PI.f64)) 4) 1)))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
1
(+.f64 1 (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))))
(+.f64 1 (.f64 -1/64800 (.f64 (*.f64 angle angle) (pow.f64 (PI.f64) 2))))
(fma.f64 -1/64800 (.f64 angle (.f64 angle (pow.f64 (PI.f64) 2))) 1)
(fma.f64 (pow.f64 (PI.f64) 2) (.f64 -1/64800 (.f64 angle angle)) 1)
(fma.f64 -1/64800 (.f64 (.f64 angle angle) (pow.f64 (PI.f64) 2)) 1)
(fma.f64 -1/64800 (pow.f64 (*.f64 angle (PI.f64)) 2) 1)
(+.f64 1 (+.f64 (.f64 1/25194240000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))) (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2)))))
(+.f64 1 (fma.f64 1/25194240000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4)) (.f64 -1/64800 (.f64 (.f64 angle angle) (pow.f64 (PI.f64) 2)))))
(+.f64 1 (fma.f64 -1/64800 (.f64 angle (.f64 angle (pow.f64 (PI.f64) 2))) (.f64 1/25194240000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4)))))
(fma.f64 (pow.f64 angle 4) (.f64 1/25194240000 (pow.f64 (PI.f64) 4)) (fma.f64 (pow.f64 (PI.f64) 2) (.f64 -1/64800 (*.f64 angle angle)) 1))
(fma.f64 -1/64800 (.f64 (.f64 angle angle) (pow.f64 (PI.f64) 2)) (fma.f64 1/25194240000 (*.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4)) 1))
(fma.f64 -1/64800 (.f64 (.f64 angle angle) (pow.f64 (PI.f64) 2)) (fma.f64 1/25194240000 (pow.f64 (*.f64 angle (PI.f64)) 4) 1))
(fma.f64 -1/64800 (pow.f64 (.f64 angle (PI.f64)) 2) (fma.f64 1/25194240000 (pow.f64 (.f64 angle (PI.f64)) 4) 1))
(+.f64 (.f64 -1/24488801280000000 (.f64 (pow.f64 angle 6) (pow.f64 (PI.f64) 6))) (+.f64 1 (+.f64 (.f64 1/25194240000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))) (.f64 -1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))))))
(fma.f64 -1/24488801280000000 (.f64 (pow.f64 angle 6) (pow.f64 (PI.f64) 6)) (+.f64 1 (fma.f64 1/25194240000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4)) (.f64 -1/64800 (.f64 (*.f64 angle angle) (pow.f64 (PI.f64) 2))))))
(fma.f64 -1/24488801280000000 (.f64 (pow.f64 angle 6) (pow.f64 (PI.f64) 6)) (+.f64 1 (fma.f64 -1/64800 (.f64 angle (.f64 angle (pow.f64 (PI.f64) 2))) (.f64 1/25194240000 (*.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))))))
(fma.f64 -1/24488801280000000 (.f64 (pow.f64 angle 6) (pow.f64 (PI.f64) 6)) (fma.f64 (pow.f64 angle 4) (.f64 1/25194240000 (pow.f64 (PI.f64) 4)) (fma.f64 (pow.f64 (PI.f64) 2) (.f64 -1/64800 (.f64 angle angle)) 1)))
(fma.f64 (.f64 angle angle) (.f64 -1/64800 (pow.f64 (PI.f64) 2)) (fma.f64 -1/24488801280000000 (.f64 (pow.f64 angle 6) (pow.f64 (PI.f64) 6)) (fma.f64 1/25194240000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4)) 1)))
(fma.f64 angle (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/64800 angle)) (fma.f64 -1/24488801280000000 (.f64 (pow.f64 angle 6) (pow.f64 (PI.f64) 6)) (fma.f64 1/25194240000 (pow.f64 (.f64 angle (PI.f64)) 4) 1)))
(fma.f64 angle (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/64800 angle)) (fma.f64 -1/24488801280000000 (pow.f64 (.f64 angle (PI.f64)) 6) (fma.f64 1/25194240000 (pow.f64 (.f64 angle (PI.f64)) 4) 1)))
(fma.f64 -1/64800 (pow.f64 (.f64 angle (PI.f64)) 2) (fma.f64 -1/24488801280000000 (pow.f64 (.f64 angle (PI.f64)) 6) (fma.f64 1/25194240000 (pow.f64 (*.f64 angle (PI.f64)) 4) 1)))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))

localize55.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (cbrt.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) 3)
	0.3b	(*.f64 (PI.f64) (/.f64 angle 180))
	23.6b	(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
	24.2b	(cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180))

Compiler

Compiled 121 to 78 computations (35.5% saved)

series9.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

angle

(pow.f64 (cbrt.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) angle) 1/180))) 3)

3.0ms

angle

inf

(pow.f64 (cbrt.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) angle) 1/180))) 3)

2.0ms

angle

-inf

(pow.f64 (cbrt.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) angle) 1/180))) 3)

rewrite52.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

819×	`pow1_binary64`
765×	`add-log-exp_binary64`
765×	`log1p-expm1-u_binary64`
765×	`expm1-log1p-u_binary64`
748×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	10
1	208	10
2	2123	10

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) 3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 1/6) (*.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 1/6) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) (sqrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2)) 3) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 1/6) 3) (pow.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2) 1) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2))) (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2) (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 1/6)) (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))))

simplify47.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

546×	`fma-def_binary64`
455×	`associate-l_binary64`
439×	`associate-r_binary64`
406×	`fma-neg_binary64`
393×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	75	423
1	223	276
2	791	216
3	5519	206

Stop Event

1×	node limit

Counts

32 → 28

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 (+.f64 (.f64 -1/97200 (pow.f64 (PI.f64) 2)) (*.f64 -1/194400 (pow.f64 (PI.f64) 2))) (pow.f64 angle 2)))
(+.f64 1 (+.f64 (.f64 (pow.f64 angle 4) (+.f64 (.f64 1/37791360000 (pow.f64 (PI.f64) 4)) (+.f64 (.f64 1/18895680000 (pow.f64 (PI.f64) 4)) (+.f64 (.f64 1/3 (-.f64 (.f64 1/25194240000 (pow.f64 (PI.f64) 4)) (.f64 1/12597120000 (pow.f64 (PI.f64) 4)))) (.f64 2/3 (-.f64 (.f64 1/25194240000 (pow.f64 (PI.f64) 4)) (.f64 1/12597120000 (pow.f64 (PI.f64) 4)))))))) (.f64 (+.f64 (.f64 -1/97200 (pow.f64 (PI.f64) 2)) (.f64 -1/194400 (pow.f64 (PI.f64) 2))) (pow.f64 angle 2))))
(+.f64 1 (+.f64 (.f64 (pow.f64 angle 4) (+.f64 (.f64 1/37791360000 (pow.f64 (PI.f64) 4)) (+.f64 (.f64 1/18895680000 (pow.f64 (PI.f64) 4)) (+.f64 (.f64 1/3 (-.f64 (.f64 1/25194240000 (pow.f64 (PI.f64) 4)) (.f64 1/12597120000 (pow.f64 (PI.f64) 4)))) (.f64 2/3 (-.f64 (.f64 1/25194240000 (pow.f64 (PI.f64) 4)) (.f64 1/12597120000 (pow.f64 (PI.f64) 4)))))))) (+.f64 (.f64 (+.f64 (.f64 -1/97200 (pow.f64 (PI.f64) 2)) (.f64 -1/194400 (pow.f64 (PI.f64) 2))) (pow.f64 angle 2)) (.f64 (+.f64 (.f64 -1/291600 (.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/25194240000 (pow.f64 (PI.f64) 4)) (.f64 1/12597120000 (pow.f64 (PI.f64) 4))))) (+.f64 (.f64 -1/583200 (.f64 (-.f64 (.f64 1/25194240000 (pow.f64 (PI.f64) 4)) (.f64 1/12597120000 (pow.f64 (PI.f64) 4))) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 2/3 (-.f64 (.f64 -1/24488801280000000 (pow.f64 (PI.f64) 6)) (+.f64 (.f64 -1/7346640384000000 (pow.f64 (PI.f64) 6)) (+.f64 (.f64 -1/194400 (.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/25194240000 (pow.f64 (PI.f64) 4)) (.f64 1/12597120000 (pow.f64 (PI.f64) 4))))) (.f64 -1/194400 (.f64 (-.f64 (.f64 1/25194240000 (pow.f64 (PI.f64) 4)) (.f64 1/12597120000 (pow.f64 (PI.f64) 4))) (pow.f64 (PI.f64) 2))))))) (+.f64 (.f64 1/3 (-.f64 (.f64 -1/24488801280000000 (pow.f64 (PI.f64) 6)) (+.f64 (.f64 -1/7346640384000000 (pow.f64 (PI.f64) 6)) (+.f64 (.f64 -1/194400 (.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/25194240000 (pow.f64 (PI.f64) 4)) (.f64 1/12597120000 (pow.f64 (PI.f64) 4))))) (.f64 -1/194400 (.f64 (-.f64 (.f64 1/25194240000 (pow.f64 (PI.f64) 4)) (.f64 1/12597120000 (pow.f64 (PI.f64) 4))) (pow.f64 (PI.f64) 2))))))) (+.f64 (.f64 -1/194400 (.f64 (+.f64 (.f64 1/37791360000 (pow.f64 (PI.f64) 4)) (.f64 2/3 (-.f64 (.f64 1/25194240000 (pow.f64 (PI.f64) 4)) (.f64 1/12597120000 (pow.f64 (PI.f64) 4))))) (pow.f64 (PI.f64) 2))) (.f64 -1/583200 (.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/25194240000 (pow.f64 (PI.f64) 4)) (*.f64 1/12597120000 (pow.f64 (PI.f64) 4)))))))))) (pow.f64 angle 6)))))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))

Outputs
1
(+.f64 1 (.f64 (+.f64 (.f64 -1/97200 (pow.f64 (PI.f64) 2)) (*.f64 -1/194400 (pow.f64 (PI.f64) 2))) (pow.f64 angle 2)))
(+.f64 1 (.f64 (.f64 (pow.f64 (PI.f64) 2) -1/64800) (*.f64 angle angle)))
(fma.f64 (.f64 (pow.f64 (PI.f64) 2) -1/64800) (.f64 angle angle) 1)
(fma.f64 (pow.f64 (PI.f64) 2) (.f64 (.f64 angle angle) -1/64800) 1)
(+.f64 1 (+.f64 (.f64 (pow.f64 angle 4) (+.f64 (.f64 1/37791360000 (pow.f64 (PI.f64) 4)) (+.f64 (.f64 1/18895680000 (pow.f64 (PI.f64) 4)) (+.f64 (.f64 1/3 (-.f64 (.f64 1/25194240000 (pow.f64 (PI.f64) 4)) (.f64 1/12597120000 (pow.f64 (PI.f64) 4)))) (.f64 2/3 (-.f64 (.f64 1/25194240000 (pow.f64 (PI.f64) 4)) (.f64 1/12597120000 (pow.f64 (PI.f64) 4)))))))) (.f64 (+.f64 (.f64 -1/97200 (pow.f64 (PI.f64) 2)) (.f64 -1/194400 (pow.f64 (PI.f64) 2))) (pow.f64 angle 2))))
(+.f64 1 (fma.f64 (pow.f64 angle 4) (fma.f64 1/37791360000 (pow.f64 (PI.f64) 4) (fma.f64 1/18895680000 (pow.f64 (PI.f64) 4) (.f64 (.f64 (pow.f64 (PI.f64) 4) -1/25194240000) 1))) (.f64 (.f64 (pow.f64 (PI.f64) 2) -1/64800) (*.f64 angle angle))))
(+.f64 1 (fma.f64 (.f64 (pow.f64 (PI.f64) 2) -1/64800) (.f64 angle angle) (.f64 (pow.f64 angle 4) (+.f64 (.f64 (pow.f64 (PI.f64) 4) 1/12597120000) (*.f64 (pow.f64 (PI.f64) 4) -1/25194240000)))))
(fma.f64 (pow.f64 (PI.f64) 2) (.f64 (.f64 angle angle) -1/64800) (fma.f64 (pow.f64 angle 4) (*.f64 (pow.f64 (PI.f64) 4) 1/25194240000) 1))
(+.f64 1 (+.f64 (.f64 (pow.f64 angle 4) (+.f64 (.f64 1/37791360000 (pow.f64 (PI.f64) 4)) (+.f64 (.f64 1/18895680000 (pow.f64 (PI.f64) 4)) (+.f64 (.f64 1/3 (-.f64 (.f64 1/25194240000 (pow.f64 (PI.f64) 4)) (.f64 1/12597120000 (pow.f64 (PI.f64) 4)))) (.f64 2/3 (-.f64 (.f64 1/25194240000 (pow.f64 (PI.f64) 4)) (.f64 1/12597120000 (pow.f64 (PI.f64) 4)))))))) (+.f64 (.f64 (+.f64 (.f64 -1/97200 (pow.f64 (PI.f64) 2)) (.f64 -1/194400 (pow.f64 (PI.f64) 2))) (pow.f64 angle 2)) (.f64 (+.f64 (.f64 -1/291600 (.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/25194240000 (pow.f64 (PI.f64) 4)) (.f64 1/12597120000 (pow.f64 (PI.f64) 4))))) (+.f64 (.f64 -1/583200 (.f64 (-.f64 (.f64 1/25194240000 (pow.f64 (PI.f64) 4)) (.f64 1/12597120000 (pow.f64 (PI.f64) 4))) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 2/3 (-.f64 (.f64 -1/24488801280000000 (pow.f64 (PI.f64) 6)) (+.f64 (.f64 -1/7346640384000000 (pow.f64 (PI.f64) 6)) (+.f64 (.f64 -1/194400 (.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/25194240000 (pow.f64 (PI.f64) 4)) (.f64 1/12597120000 (pow.f64 (PI.f64) 4))))) (.f64 -1/194400 (.f64 (-.f64 (.f64 1/25194240000 (pow.f64 (PI.f64) 4)) (.f64 1/12597120000 (pow.f64 (PI.f64) 4))) (pow.f64 (PI.f64) 2))))))) (+.f64 (.f64 1/3 (-.f64 (.f64 -1/24488801280000000 (pow.f64 (PI.f64) 6)) (+.f64 (.f64 -1/7346640384000000 (pow.f64 (PI.f64) 6)) (+.f64 (.f64 -1/194400 (.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/25194240000 (pow.f64 (PI.f64) 4)) (.f64 1/12597120000 (pow.f64 (PI.f64) 4))))) (.f64 -1/194400 (.f64 (-.f64 (.f64 1/25194240000 (pow.f64 (PI.f64) 4)) (.f64 1/12597120000 (pow.f64 (PI.f64) 4))) (pow.f64 (PI.f64) 2))))))) (+.f64 (.f64 -1/194400 (.f64 (+.f64 (.f64 1/37791360000 (pow.f64 (PI.f64) 4)) (.f64 2/3 (-.f64 (.f64 1/25194240000 (pow.f64 (PI.f64) 4)) (.f64 1/12597120000 (pow.f64 (PI.f64) 4))))) (pow.f64 (PI.f64) 2))) (.f64 -1/583200 (.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/25194240000 (pow.f64 (PI.f64) 4)) (*.f64 1/12597120000 (pow.f64 (PI.f64) 4)))))))))) (pow.f64 angle 6)))))
(+.f64 1 (fma.f64 (pow.f64 angle 4) (fma.f64 1/37791360000 (pow.f64 (PI.f64) 4) (fma.f64 1/18895680000 (pow.f64 (PI.f64) 4) (.f64 (.f64 (pow.f64 (PI.f64) 4) -1/25194240000) 1))) (fma.f64 (.f64 (pow.f64 (PI.f64) 2) -1/64800) (.f64 angle angle) (.f64 (fma.f64 -1/291600 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 4) -1/25194240000)) (fma.f64 -1/583200 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 4) -1/25194240000)) (fma.f64 2/3 (-.f64 (.f64 -1/24488801280000000 (pow.f64 (PI.f64) 6)) (fma.f64 -1/7346640384000000 (pow.f64 (PI.f64) 6) (.f64 -1/194400 (+.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 4) -1/25194240000)) (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 4) -1/25194240000)))))) (fma.f64 1/3 (-.f64 (.f64 -1/24488801280000000 (pow.f64 (PI.f64) 6)) (fma.f64 -1/7346640384000000 (pow.f64 (PI.f64) 6) (.f64 -1/194400 (+.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 4) -1/25194240000)) (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 4) -1/25194240000)))))) (fma.f64 -1/194400 (.f64 (pow.f64 (PI.f64) 2) (fma.f64 1/37791360000 (pow.f64 (PI.f64) 4) (.f64 (.f64 (pow.f64 (PI.f64) 4) -1/25194240000) 2/3))) (.f64 (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 4) -1/25194240000)) -1/583200)))))) (pow.f64 angle 6)))))
(+.f64 1 (fma.f64 (pow.f64 angle 4) (+.f64 (.f64 (pow.f64 (PI.f64) 4) 1/12597120000) (.f64 (pow.f64 (PI.f64) 4) -1/25194240000)) (fma.f64 (.f64 (pow.f64 (PI.f64) 2) -1/64800) (.f64 angle angle) (.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/194400 (.f64 (pow.f64 (PI.f64) 4) -1/25194240000))) (+.f64 (.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 -1/194400 (fma.f64 1/37791360000 (pow.f64 (PI.f64) 4) (.f64 (pow.f64 (PI.f64) 4) -1/37791360000))) (.f64 (.f64 (pow.f64 (PI.f64) 4) -1/25194240000) -1/583200))) (.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 6) 7/73466403840000000) (.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 4) -1/25194240000)) -1/97200)) 1))) (pow.f64 angle 6)))))
(+.f64 1 (fma.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 6) 1/4897760256000000) (fma.f64 (pow.f64 (PI.f64) 2) (fma.f64 -1/194400 (.f64 (pow.f64 (PI.f64) 4) 0) (.f64 (pow.f64 (PI.f64) 4) 1/14693280768000000)) (-.f64 (.f64 (pow.f64 (PI.f64) 6) 7/73466403840000000) (.f64 (pow.f64 (PI.f64) 6) 1/2448880128000000)))) (pow.f64 angle 6) (fma.f64 (pow.f64 (PI.f64) 2) (.f64 (.f64 angle angle) -1/64800) (.f64 (pow.f64 angle 4) (*.f64 (pow.f64 (PI.f64) 4) 1/25194240000)))))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 2) (.f64 (.f64 angle angle) -1/64800) 1) (fma.f64 (pow.f64 angle 4) (.f64 (pow.f64 (PI.f64) 4) 1/25194240000) (.f64 (+.f64 (fma.f64 (pow.f64 (PI.f64) 6) 7/73466403840000000 (.f64 (pow.f64 (PI.f64) 6) -1/2448880128000000)) (+.f64 (fma.f64 (pow.f64 (PI.f64) 2) 0 (.f64 (pow.f64 (PI.f64) 6) 1/14693280768000000)) (*.f64 (pow.f64 (PI.f64) 6) 1/4897760256000000))) (pow.f64 angle 6))))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 1 (cos.f64 (.f64 1/180 (*.f64 (PI.f64) angle))))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 1 (cos.f64 (.f64 1/180 (*.f64 (PI.f64) angle))))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 1 (cos.f64 (.f64 1/180 (*.f64 (PI.f64) angle))))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 1 (cos.f64 (.f64 1/180 (*.f64 (PI.f64) angle))))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 1 (cos.f64 (.f64 1/180 (*.f64 (PI.f64) angle))))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 1 (cos.f64 (.f64 1/180 (*.f64 (PI.f64) angle))))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 1 (cos.f64 (.f64 1/180 (*.f64 (PI.f64) angle))))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 1 (cos.f64 (.f64 1/180 (*.f64 (PI.f64) angle))))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))

eval308.0ms (1.8%)

Compiler: Compiled 14427 to 10334 computations (28.4% saved)

prune345.0ms (2%)

Pruning

82 alts after pruning (78 fresh and 4 done)

	Pruned	Kept	Total
New	465	65	530
Fresh	33	13	46
Picked	0	1	1
Done	1	3	4
Total	499	82	581

Error

18.7b

Counts

581 → 82

Alt Table

Click to see full alt table

Status	Error	Program
	25.1b	(+.f64 (pow.f64 (.f64 a (log.f64 (exp.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180))))) 2) (pow.f64 (.f64 b (.f64 angle (.f64 (PI.f64) 1/180))) 2))
	34.5b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 angle angle) (.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (.f64 b b)))))
	47.7b	(+.f64 (pow.f64 (.f64 a (cos.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) 3)))) 2) (pow.f64 (.f64 b (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
	25.2b	(+.f64 (pow.f64 (.f64 a (log1p.f64 (expm1.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180))))) 2) (pow.f64 (.f64 b (.f64 1/180 (.f64 angle (PI.f64)))) 2))
	29.2b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) 2) (*.f64 b b)))
	20.3b	(+.f64 (pow.f64 (.f64 a (-.f64 (exp.f64 (log1p.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180)))) 1)) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	30.4b	(+.f64 (pow.f64 (.f64 a 1) 2) (exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (sin.f64 (.f64 (*.f64 (PI.f64) angle) 1/180)) b) 6)) 1/3)))
	39.2b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (pow.f64 (pow.f64 (.f64 (.f64 (PI.f64) angle) 1/180) 3) 1/3))) 2))
	20.1b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) 3))) 2))
✓	19.7b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	24.8b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (-.f64 (+.f64 1 (.f64 b (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) 1) 2))
	20.3b	(+.f64 (pow.f64 (.f64 a (pow.f64 (cbrt.f64 (log.f64 (exp.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))
	20.3b	(+.f64 (pow.f64 (.f64 a (expm1.f64 (log1p.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	24.9b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (.f64 angle (.f64 (PI.f64) 1/180))) 2))
	23.8b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (/.f64 1 (/.f64 180 (expm1.f64 (log1p.f64 (.f64 (PI.f64) angle))))))) 2))
	20.3b	(+.f64 (pow.f64 (.f64 a (pow.f64 (cbrt.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 3)) 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 (sin.f64 (/.f64 (.f64 (PI.f64) angle) 180))) 2))
	21.2b	(+.f64 (pow.f64 (.f64 a (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180))))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	44.7b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) 2))) 2))
	20.0b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) 2) (cbrt.f64 (sin.f64 (.f64 (*.f64 (PI.f64) angle) 1/180))))) 2))
	25.2b	(+.f64 (pow.f64 (.f64 a (cos.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) 3))) 2) (pow.f64 (.f64 b (.f64 1/180 (.f64 angle (PI.f64)))) 2))
	20.3b	(+.f64 (pow.f64 (.f64 a (cos.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) 3))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	23.6b	(+.f64 (pow.f64 (.f64 a (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (PI.f64) angle) 1/180)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (PI.f64) angle) 1/180)))) (sin.f64 1)))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	20.3b	(+.f64 (pow.f64 (.f64 a (log.f64 (exp.f64 (-.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 1)))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	47.6b	(+.f64 (pow.f64 (.f64 a (cos.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) 2))) 2) (pow.f64 (.f64 b (.f64 1/180 (.f64 angle (PI.f64)))) 2))
	20.3b	(+.f64 (pow.f64 (.f64 a (pow.f64 (cbrt.f64 (log1p.f64 (expm1.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))
	20.3b	(+.f64 (pow.f64 (.f64 a (.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2) (cbrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))
✓	20.3b	(+.f64 (pow.f64 (.f64 a (log.f64 (exp.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	20.3b	(+.f64 (pow.f64 (.f64 a (pow.f64 (cbrt.f64 (+.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)))))))) 3)) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	23.7b	(+.f64 (pow.f64 (.f64 a (cos.f64 (expm1.f64 (log1p.f64 (.f64 (.f64 (PI.f64) angle) 1/180))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	31.7b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (/.f64 1 (/.f64 180 (cbrt.f64 (pow.f64 (.f64 (PI.f64) angle) 3)))))) 2))
	31.8b	(+.f64 (pow.f64 (.f64 a (cos.f64 (pow.f64 (pow.f64 (.f64 (.f64 (PI.f64) angle) 1/180) 3) 1/3))) 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 180 angle)))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	20.3b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) b) (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) b))
	37.6b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (exp.f64 (log.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))) 2))
	25.1b	(+.f64 (pow.f64 (.f64 a (pow.f64 (cbrt.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) 3)) 2) (pow.f64 (.f64 b (.f64 angle (.f64 (PI.f64) 1/180))) 2))
	20.3b	(+.f64 (pow.f64 (.f64 a (pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 1)) 3)) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	22.7b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) b) b) (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180))))
	21.3b	(+.f64 (pow.f64 (.f64 a (log.f64 (exp.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) 2)) (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))
	24.7b	(+.f64 (pow.f64 (.f64 a (cos.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 (PI.f64) angle) 1/180) 3)))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
✓	20.3b	(+.f64 (pow.f64 (.f64 a (pow.f64 (cbrt.f64 (cos.f64 (.f64 (.f64 (PI.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 1) 2) (.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) b)) 5) (cbrt.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) b))))
	20.3b	(+.f64 (pow.f64 (.f64 a (log.f64 (exp.f64 (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))
	32.1b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 (PI.f64) angle) 1/180) 3)))) 2))
	20.0b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (pow.f64 (cbrt.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) 3)) 2))
	24.9b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (.f64 1/180 (.f64 angle (PI.f64)))) 2))
	20.3b	(+.f64 (pow.f64 (.f64 a (-.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 1)) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
✓	25.2b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
	23.6b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (expm1.f64 (log1p.f64 (.f64 (.f64 (PI.f64) angle) 1/180))))) 2))
	19.7b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))
	20.3b	(+.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))
	25.2b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 b (.f64 1/180 (.f64 angle (PI.f64)))) 2))
▶	24.9b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))) 2))
	20.6b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (/.f64 1 (/.f64 180 (pow.f64 (cbrt.f64 (.f64 (PI.f64) angle)) 3))))) 2))
	26.1b	(+.f64 (pow.f64 (.f64 a (cos.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 (PI.f64) angle) 1/180) 3)))) 2) (pow.f64 (.f64 b (.f64 1/180 (.f64 angle (PI.f64)))) 2))
	19.8b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (/.f64 1 (/.f64 180 (*.f64 (PI.f64) angle))))) 2))
▶	19.7b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 2))
	23.9b	(+.f64 (pow.f64 (.f64 a (log.f64 (exp.f64 (pow.f64 (sqrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2)))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	19.7b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (/.f64 (*.f64 (PI.f64) angle) 180))) 2))
	39.1b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (/.f64 1 (/.f64 180 (pow.f64 (pow.f64 (.f64 (PI.f64) angle) 3) 1/3))))) 2))
	25.2b	(+.f64 (pow.f64 (.f64 a (cos.f64 (/.f64 (PI.f64) (/.f64 180 angle)))) 2) (pow.f64 (.f64 b (.f64 1/180 (.f64 angle (PI.f64)))) 2))
	25.2b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 2) (pow.f64 (.f64 b (.f64 1/180 (.f64 angle (PI.f64)))) 2))
	31.0b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (log.f64 (exp.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180))))) 2))
	30.2b	(+.f64 (pow.f64 (.f64 a 1) 2) (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) b) 6)))
▶	34.5b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 (.f64 angle angle) (.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (*.f64 b b)))))
	44.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) 3)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))
	20.3b	(+.f64 (pow.f64 (.f64 a (log.f64 (exp.f64 (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))
	25.2b	(+.f64 (pow.f64 (.f64 a (cos.f64 (/.f64 (.f64 (PI.f64) angle) 180))) 2) (pow.f64 (.f64 b (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
	26.5b	(+.f64 (pow.f64 (.f64 a (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (PI.f64) angle) 1/180)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (PI.f64) angle) 1/180)))) (sin.f64 1)))) 2) (pow.f64 (.f64 b (.f64 1/180 (.f64 angle (PI.f64)))) 2))
	20.3b	(+.f64 (pow.f64 (.f64 a 1) 2) (expm1.f64 (log1p.f64 (pow.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) b) 2))))
	45.2b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) 1/3)))) 2))
	27.0b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (cbrt.f64 (pow.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) 3))) 2))
	44.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) 1/3)))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
▶	25.2b	(+.f64 (pow.f64 (.f64 a (cbrt.f64 (pow.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) 3))) 2) (pow.f64 (.f64 b (.f64 1/180 (.f64 angle (PI.f64)))) 2))
	25.4b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (.f64 1/180 (pow.f64 (cbrt.f64 (*.f64 angle (PI.f64))) 3))) 2))
	22.8b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 b (.f64 b (pow.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 2))))
	20.3b	(+.f64 (pow.f64 (.f64 a (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 3)) 3)) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	47.7b	(+.f64 (pow.f64 (.f64 a (cos.f64 (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) 1/3)))) 2) (pow.f64 (.f64 b (.f64 1/180 (.f64 angle (PI.f64)))) 2))
	34.8b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))))
	37.3b	(+.f64 (pow.f64 (.f64 a 1) 2) (exp.f64 (.f64 2 (log.f64 (.f64 (sin.f64 (.f64 (*.f64 (PI.f64) angle) 1/180)) b)))))
	34.9b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (-.f64 (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (PI.f64) angle) 1/180)))) (cos.f64 1)) (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (PI.f64) angle) 1/180)))) (sin.f64 1)))) 2))
	19.9b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (pow.f64 (cbrt.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) 3) 2))

Compiler

Compiled 4171 to 3421 computations (18% saved)

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 angle (.f64 (PI.f64) 1/180))
✓	0.2b	(.f64 b (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))
✓	0.3b	(pow.f64 (.f64 b (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
✓	23.8b	(sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))

Compiler

Compiled 66 to 46 computations (30.3% saved)

series7.0ms (0%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	angle	@	inf	(.f64 b (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))
0.0ms	angle	@	-inf	(.f64 b (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))
0.0ms	angle	@	inf	(.f64 angle (.f64 (PI.f64) 1/180))
0.0ms	angle	@	0	(sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
0.0ms	angle	@	0	(.f64 b (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))

rewrite99.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

987×	`pow1_binary64`
907×	`add-log-exp_binary64`
907×	`log1p-expm1-u_binary64`
907×	`expm1-log1p-u_binary64`
110×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	47
1	226	47
2	2555	47

Stop Event

1×	node limit

Counts

4 → 70

Calls

Call 1

Inputs
(sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(pow.f64 (.f64 b (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2)
(.f64 b (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))
(.f64 angle (.f64 (PI.f64) 1/180))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (cbrt.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) (sqrt.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 b (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 b (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b) 4)) (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b) 2)) (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b) 2)) (.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b)) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b)) (.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b)) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b) (sqrt.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b))) (sqrt.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) b)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b) b) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b) (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b) 2))) (cbrt.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 b) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 3) (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 b 3) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) b)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/180 (.f64 angle (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 1/180 (.f64 angle (PI.f64))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 1/180 (.f64 angle (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/180) angle))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 1/180 (.f64 angle (PI.f64))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 angle 3) (pow.f64 (.f64 (PI.f64) 1/180) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) 1/180) 3) (pow.f64 angle 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))))

simplify203.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

662×	`associate-+l+_binary64`
644×	`unswap-sqr_binary64`
630×	`sqr-pow_binary64`
566×	`*-commutative_binary64`
557×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	88	1278
1	258	1278
2	921	1256
3	2314	1248
4	3901	1248
5	4174	1248
6	4339	1248
7	4533	1248
8	4779	1248
9	5133	1248
10	6456	1248
11	6992	1248
12	7643	1248

Stop Event

1×	node limit

Counts

142 → 100

Calls

Call 1

Inputs
(.f64 1/180 (.f64 angle (PI.f64)))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (.f64 1/180 (.f64 angle (PI.f64))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (+.f64 (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5))) (.f64 -1/30855889612800000000 (.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7))))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(+.f64 (.f64 1/32400 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))) (.f64 -1/3149280000 (.f64 (pow.f64 angle 4) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 4)))))
(+.f64 (.f64 (pow.f64 angle 6) (+.f64 (.f64 1/1224440064000000 (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 6))) (.f64 1/2040733440000000 (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 6))))) (+.f64 (.f64 1/32400 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))) (.f64 -1/3149280000 (.f64 (pow.f64 angle 4) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 4))))))
(+.f64 (.f64 (+.f64 (.f64 -1/2777030065152000000000 (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 8))) (.f64 -1/396718580736000000000 (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 8)))) (pow.f64 angle 8)) (+.f64 (.f64 (pow.f64 angle 6) (+.f64 (.f64 1/1224440064000000 (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 6))) (.f64 1/2040733440000000 (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 6))))) (+.f64 (.f64 1/32400 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))) (.f64 -1/3149280000 (.f64 (pow.f64 angle 4) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 4)))))))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 1/180 (.f64 angle (*.f64 b (PI.f64))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 b (pow.f64 (PI.f64) 3)))) (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))))
(+.f64 (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (.f64 b (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 b (pow.f64 (PI.f64) 3)))) (.f64 1/180 (.f64 angle (*.f64 b (PI.f64))))))
(+.f64 (.f64 -1/30855889612800000000 (.f64 (pow.f64 angle 7) (.f64 b (pow.f64 (PI.f64) 7)))) (+.f64 (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (.f64 b (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 b (pow.f64 (PI.f64) 3)))) (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))

Outputs
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (.f64 1/180 (.f64 angle (PI.f64))))
(fma.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)) (.f64 1/180 (*.f64 angle (PI.f64))))
(fma.f64 1/180 (.f64 angle (PI.f64)) (.f64 -1/34992000 (*.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))))
(fma.f64 1/180 (.f64 angle (PI.f64)) (.f64 (pow.f64 angle 3) (*.f64 -1/34992000 (pow.f64 (PI.f64) 3))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))))
(fma.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)) (fma.f64 1/180 (.f64 angle (PI.f64)) (.f64 (.f64 1/22674816000000 (pow.f64 angle 5)) (pow.f64 (PI.f64) 5))))
(fma.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)) (fma.f64 1/180 (.f64 angle (PI.f64)) (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))))
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(.f64 (fma.f64 1/180 (.f64 angle (PI.f64)) (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)))) b)
(+.f64 (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (.f64 b (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 b (pow.f64 (PI.f64) 3)))) (.f64 1/180 (.f64 angle (*.f64 b (PI.f64))))))
(fma.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (.f64 (pow.f64 (PI.f64) 5) b)) (fma.f64 -1/34992000 (.f64 (.f64 (pow.f64 angle 3) b) (pow.f64 (PI.f64) 3)) (.f64 1/180 (.f64 (*.f64 angle b) (PI.f64)))))
(fma.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (.f64 (pow.f64 (PI.f64) 5) b)) (fma.f64 1/180 (.f64 angle (.f64 (PI.f64) b)) (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (*.f64 (pow.f64 (PI.f64) 3) b)))))
(fma.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 (pow.f64 (PI.f64) 3) b)) (.f64 b (fma.f64 1/180 (.f64 angle (PI.f64)) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/22674816000000 (pow.f64 angle 5))))))
(.f64 b (fma.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)) (fma.f64 1/180 (.f64 angle (PI.f64)) (.f64 1/22674816000000 (*.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5))))))
(.f64 (fma.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)) (fma.f64 1/180 (.f64 angle (PI.f64)) (.f64 1/22674816000000 (*.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5))))) b)
(+.f64 (.f64 -1/30855889612800000000 (.f64 (pow.f64 angle 7) (.f64 b (pow.f64 (PI.f64) 7)))) (+.f64 (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (.f64 b (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 b (pow.f64 (PI.f64) 3)))) (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))))))
(fma.f64 -1/30855889612800000000 (.f64 (pow.f64 angle 7) (.f64 (pow.f64 (PI.f64) 7) b)) (fma.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (.f64 (pow.f64 (PI.f64) 5) b)) (fma.f64 -1/34992000 (.f64 (.f64 (pow.f64 angle 3) b) (pow.f64 (PI.f64) 3)) (.f64 1/180 (.f64 (*.f64 angle b) (PI.f64))))))
(fma.f64 -1/30855889612800000000 (.f64 (pow.f64 angle 7) (.f64 (pow.f64 (PI.f64) 7) b)) (fma.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (.f64 (pow.f64 (PI.f64) 5) b)) (fma.f64 1/180 (.f64 angle (.f64 (PI.f64) b)) (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (*.f64 (pow.f64 (PI.f64) 3) b))))))
(+.f64 (.f64 b (fma.f64 1/180 (.f64 angle (PI.f64)) (.f64 (pow.f64 angle 3) (.f64 -1/34992000 (pow.f64 (PI.f64) 3))))) (.f64 b (fma.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)) (.f64 (pow.f64 (PI.f64) 7) (.f64 -1/30855889612800000000 (pow.f64 angle 7))))))
(.f64 b (fma.f64 1/180 (.f64 angle (PI.f64)) (fma.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)) (fma.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)) (.f64 -1/30855889612800000000 (.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7)))))))
(.f64 (fma.f64 1/180 (.f64 angle (PI.f64)) (fma.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)) (fma.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)) (.f64 -1/30855889612800000000 (.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7)))))) b)
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) b)
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))) b)
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) b)
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))) b)
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) b)
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))) b)
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) b)
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))) b)
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) b)
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))) b)
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) b)
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))) b)
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) b)
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))) b)
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) b)
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))) b)
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 1/180 angle))

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 57 to 30 computations (47.4% saved)

series12.0ms (0.1%)

Counts

4 → 24

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	angle	@	0	(.f64 1/180 (.f64 angle (*.f64 b (PI.f64))))
1.0ms	b	@	0	(.f64 1/180 (.f64 angle (*.f64 b (PI.f64))))
1.0ms	angle	@	inf	(.f64 1/180 (.f64 angle (*.f64 b (PI.f64))))
1.0ms	b	@	-inf	(pow.f64 (.f64 1/180 (.f64 angle (*.f64 b (PI.f64)))) 2)
1.0ms	b	@	0	(.f64 angle (.f64 b (PI.f64)))

rewrite69.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

918×	`pow1_binary64`
846×	`add-log-exp_binary64`
846×	`log1p-expm1-u_binary64`
846×	`expm1-log1p-u_binary64`
827×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	209	38
2	2374	38

Stop Event

1×	node limit

Counts

4 → 65

Calls

Call 1

Inputs
(.f64 1/180 (.f64 angle (*.f64 b (PI.f64))))
(.f64 angle (.f64 b (PI.f64)))
(*.f64 b (PI.f64))
(pow.f64 (.f64 1/180 (.f64 angle (*.f64 b (PI.f64)))) 2)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 1/180 (.f64 angle (.f64 b (PI.f64))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/180) (.f64 angle (.f64 b (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 angle (.f64 b (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 angle (.f64 b (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 angle (.f64 b (PI.f64))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 angle (.f64 b (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 angle (.f64 b (PI.f64)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 angle (.f64 b (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) b) angle))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 angle (.f64 b (PI.f64))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 angle 3) (pow.f64 (.f64 b (PI.f64)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 b (PI.f64)) 3) (pow.f64 angle 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 angle (.f64 b (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 angle (.f64 b (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 angle (.f64 b (PI.f64)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 b (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 b (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 b (PI.f64)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 b (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 b (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 b (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (PI.f64)) b))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 b (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 b 3) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 b (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 b (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 b (PI.f64))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 b (PI.f64))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/180 (.f64 (.f64 angle (.f64 b (PI.f64))) (.f64 1/180 (.f64 angle (.f64 b (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 angle (.f64 b (PI.f64))) (.f64 1/180 (.f64 1/180 (.f64 angle (.f64 b (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))) (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/32400 (pow.f64 (.f64 angle (.f64 b (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 angle (.f64 b (PI.f64))) 2) 1/32400)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64))))) 2) (cbrt.f64 (pow.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64))))) 2) (.f64 (cbrt.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64))))) (.f64 1/180 (.f64 angle (.f64 b (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))) 4)) (pow.f64 (cbrt.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64))))) (.f64 (sqrt.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64))))) (.f64 1/180 (.f64 angle (.f64 b (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/180 angle) (.f64 (.f64 b (PI.f64)) (.f64 1/180 (.f64 angle (.f64 b (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 1/180 angle) (.f64 1/180 angle)) (pow.f64 (.f64 b (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))) (sqrt.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))))) (sqrt.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 1/180 angle) 2) (pow.f64 (.f64 b (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))) 1/180) (.f64 angle (.f64 b (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))) (.f64 angle (.f64 b (PI.f64)))) 1/180)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))) (pow.f64 (cbrt.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64))))) 2)) (cbrt.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))) (.f64 1/180 angle)) (.f64 b (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/32400) (pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 b (PI.f64))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 1/32400 (pow.f64 (.f64 angle (.f64 b (PI.f64))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))))))))))

simplify136.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

2947×	`associate-l_binary64`
654×	`sqr-pow_binary64`
561×	`unswap-sqr_binary64`
338×	`*-commutative_binary64`
336×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	480
1	30	480
2	89	480
3	455	480
4	830	480
5	1678	480
6	1758	480
7	1840	480
8	1934	480
9	2046	480
10	2198	480
11	2370	480
12	2570	480
13	2793	480
14	3044	480
15	3312	480
16	3608	480
17	3921	480
18	4262	480

Stop Event

1×	node limit

Counts

89 → 67

Calls

Call 1

Inputs
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))

Outputs
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (.f64 (.f64 angle angle) (*.f64 b b)) (pow.f64 (PI.f64) 2)))
(.f64 (.f64 angle (.f64 angle (.f64 b b))) (*.f64 (pow.f64 (PI.f64) 2) 1/32400))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (.f64 b (.f64 angle (*.f64 angle b)))))
(.f64 1/32400 (.f64 (.f64 angle angle) (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 b (.f64 (pow.f64 (PI.f64) 2) (.f64 (*.f64 angle angle) b))))
(.f64 1/32400 (.f64 angle (.f64 angle (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2)))))
(.f64 1/32400 (.f64 (.f64 b b) (.f64 (*.f64 angle angle) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (.f64 (.f64 angle angle) (*.f64 b b)) (pow.f64 (PI.f64) 2)))
(.f64 (.f64 angle (.f64 angle (.f64 b b))) (*.f64 (pow.f64 (PI.f64) 2) 1/32400))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (.f64 b (.f64 angle (*.f64 angle b)))))
(.f64 1/32400 (.f64 (.f64 angle angle) (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 b (.f64 (pow.f64 (PI.f64) 2) (.f64 (*.f64 angle angle) b))))
(.f64 1/32400 (.f64 angle (.f64 angle (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2)))))
(.f64 1/32400 (.f64 (.f64 b b) (.f64 (*.f64 angle angle) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (.f64 (.f64 angle angle) (*.f64 b b)) (pow.f64 (PI.f64) 2)))
(.f64 (.f64 angle (.f64 angle (.f64 b b))) (*.f64 (pow.f64 (PI.f64) 2) 1/32400))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (.f64 b (.f64 angle (*.f64 angle b)))))
(.f64 1/32400 (.f64 (.f64 angle angle) (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 b (.f64 (pow.f64 (PI.f64) 2) (.f64 (*.f64 angle angle) b))))
(.f64 1/32400 (.f64 angle (.f64 angle (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2)))))
(.f64 1/32400 (.f64 (.f64 b b) (.f64 (*.f64 angle angle) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (.f64 (.f64 angle angle) (*.f64 b b)) (pow.f64 (PI.f64) 2)))
(.f64 (.f64 angle (.f64 angle (.f64 b b))) (*.f64 (pow.f64 (PI.f64) 2) 1/32400))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (.f64 b (.f64 angle (*.f64 angle b)))))
(.f64 1/32400 (.f64 (.f64 angle angle) (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 b (.f64 (pow.f64 (PI.f64) 2) (.f64 (*.f64 angle angle) b))))
(.f64 1/32400 (.f64 angle (.f64 angle (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2)))))
(.f64 1/32400 (.f64 (.f64 b b) (.f64 (*.f64 angle angle) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (.f64 (.f64 angle angle) (*.f64 b b)) (pow.f64 (PI.f64) 2)))
(.f64 (.f64 angle (.f64 angle (.f64 b b))) (*.f64 (pow.f64 (PI.f64) 2) 1/32400))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (.f64 b (.f64 angle (*.f64 angle b)))))
(.f64 1/32400 (.f64 (.f64 angle angle) (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 b (.f64 (pow.f64 (PI.f64) 2) (.f64 (*.f64 angle angle) b))))
(.f64 1/32400 (.f64 angle (.f64 angle (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2)))))
(.f64 1/32400 (.f64 (.f64 b b) (.f64 (*.f64 angle angle) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (.f64 (.f64 angle angle) (*.f64 b b)) (pow.f64 (PI.f64) 2)))
(.f64 (.f64 angle (.f64 angle (.f64 b b))) (*.f64 (pow.f64 (PI.f64) 2) 1/32400))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (.f64 b (.f64 angle (*.f64 angle b)))))
(.f64 1/32400 (.f64 (.f64 angle angle) (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 b (.f64 (pow.f64 (PI.f64) 2) (.f64 (*.f64 angle angle) b))))
(.f64 1/32400 (.f64 angle (.f64 angle (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2)))))
(.f64 1/32400 (.f64 (.f64 b b) (.f64 (*.f64 angle angle) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (.f64 (.f64 angle angle) (*.f64 b b)) (pow.f64 (PI.f64) 2)))
(.f64 (.f64 angle (.f64 angle (.f64 b b))) (*.f64 (pow.f64 (PI.f64) 2) 1/32400))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (.f64 b (.f64 angle (*.f64 angle b)))))
(.f64 1/32400 (.f64 (.f64 angle angle) (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 b (.f64 (pow.f64 (PI.f64) 2) (.f64 (*.f64 angle angle) b))))
(.f64 1/32400 (.f64 angle (.f64 angle (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2)))))
(.f64 1/32400 (.f64 (.f64 b b) (.f64 (*.f64 angle angle) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (.f64 (.f64 angle angle) (*.f64 b b)) (pow.f64 (PI.f64) 2)))
(.f64 (.f64 angle (.f64 angle (.f64 b b))) (*.f64 (pow.f64 (PI.f64) 2) 1/32400))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (.f64 b (.f64 angle (*.f64 angle b)))))
(.f64 1/32400 (.f64 (.f64 angle angle) (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 b (.f64 (pow.f64 (PI.f64) 2) (.f64 (*.f64 angle angle) b))))
(.f64 1/32400 (.f64 angle (.f64 angle (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2)))))
(.f64 1/32400 (.f64 (.f64 b b) (.f64 (*.f64 angle angle) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (.f64 (.f64 angle angle) (*.f64 b b)) (pow.f64 (PI.f64) 2)))
(.f64 (.f64 angle (.f64 angle (.f64 b b))) (*.f64 (pow.f64 (PI.f64) 2) 1/32400))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (.f64 b (.f64 angle (*.f64 angle b)))))
(.f64 1/32400 (.f64 (.f64 angle angle) (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 b (.f64 (pow.f64 (PI.f64) 2) (.f64 (*.f64 angle angle) b))))
(.f64 1/32400 (.f64 angle (.f64 angle (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2)))))
(.f64 1/32400 (.f64 (.f64 b b) (.f64 (*.f64 angle angle) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (.f64 (.f64 angle angle) (*.f64 b b)) (pow.f64 (PI.f64) 2)))
(.f64 (.f64 angle (.f64 angle (.f64 b b))) (*.f64 (pow.f64 (PI.f64) 2) 1/32400))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (.f64 b (.f64 angle (*.f64 angle b)))))
(.f64 1/32400 (.f64 (.f64 angle angle) (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 b (.f64 (pow.f64 (PI.f64) 2) (.f64 (*.f64 angle angle) b))))
(.f64 1/32400 (.f64 angle (.f64 angle (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2)))))
(.f64 1/32400 (.f64 (.f64 b b) (.f64 (*.f64 angle angle) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (.f64 (.f64 angle angle) (*.f64 b b)) (pow.f64 (PI.f64) 2)))
(.f64 (.f64 angle (.f64 angle (.f64 b b))) (*.f64 (pow.f64 (PI.f64) 2) 1/32400))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (.f64 b (.f64 angle (*.f64 angle b)))))
(.f64 1/32400 (.f64 (.f64 angle angle) (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 b (.f64 (pow.f64 (PI.f64) 2) (.f64 (*.f64 angle angle) b))))
(.f64 1/32400 (.f64 angle (.f64 angle (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2)))))
(.f64 1/32400 (.f64 (.f64 b b) (.f64 (*.f64 angle angle) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (.f64 (.f64 angle angle) (*.f64 b b)) (pow.f64 (PI.f64) 2)))
(.f64 (.f64 angle (.f64 angle (.f64 b b))) (*.f64 (pow.f64 (PI.f64) 2) 1/32400))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (.f64 b (.f64 angle (*.f64 angle b)))))
(.f64 1/32400 (.f64 (.f64 angle angle) (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 b (.f64 (pow.f64 (PI.f64) 2) (.f64 (*.f64 angle angle) b))))
(.f64 1/32400 (.f64 angle (.f64 angle (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2)))))
(.f64 1/32400 (.f64 (.f64 b b) (.f64 (*.f64 angle angle) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (.f64 (.f64 angle angle) (*.f64 b b)) (pow.f64 (PI.f64) 2)))
(.f64 (.f64 angle (.f64 angle (.f64 b b))) (*.f64 (pow.f64 (PI.f64) 2) 1/32400))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (.f64 b (.f64 angle (*.f64 angle b)))))
(.f64 1/32400 (.f64 (.f64 angle angle) (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 b (.f64 (pow.f64 (PI.f64) 2) (.f64 (*.f64 angle angle) b))))
(.f64 1/32400 (.f64 angle (.f64 angle (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2)))))
(.f64 1/32400 (.f64 (.f64 b b) (.f64 (*.f64 angle angle) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (.f64 (.f64 angle angle) (*.f64 b b)) (pow.f64 (PI.f64) 2)))
(.f64 (.f64 angle (.f64 angle (.f64 b b))) (*.f64 (pow.f64 (PI.f64) 2) 1/32400))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (.f64 b (.f64 angle (*.f64 angle b)))))
(.f64 1/32400 (.f64 (.f64 angle angle) (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 b (.f64 (pow.f64 (PI.f64) 2) (.f64 (*.f64 angle angle) b))))
(.f64 1/32400 (.f64 angle (.f64 angle (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2)))))
(.f64 1/32400 (.f64 (.f64 b b) (.f64 (*.f64 angle angle) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (.f64 (.f64 angle angle) (*.f64 b b)) (pow.f64 (PI.f64) 2)))
(.f64 (.f64 angle (.f64 angle (.f64 b b))) (*.f64 (pow.f64 (PI.f64) 2) 1/32400))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (.f64 b (.f64 angle (*.f64 angle b)))))
(.f64 1/32400 (.f64 (.f64 angle angle) (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 b (.f64 (pow.f64 (PI.f64) 2) (.f64 (*.f64 angle angle) b))))
(.f64 1/32400 (.f64 angle (.f64 angle (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2)))))
(.f64 1/32400 (.f64 (.f64 b b) (.f64 (*.f64 angle angle) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (.f64 (.f64 angle angle) (*.f64 b b)) (pow.f64 (PI.f64) 2)))
(.f64 (.f64 angle (.f64 angle (.f64 b b))) (*.f64 (pow.f64 (PI.f64) 2) 1/32400))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (.f64 b (.f64 angle (*.f64 angle b)))))
(.f64 1/32400 (.f64 (.f64 angle angle) (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 b (.f64 (pow.f64 (PI.f64) 2) (.f64 (*.f64 angle angle) b))))
(.f64 1/32400 (.f64 angle (.f64 angle (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2)))))
(.f64 1/32400 (.f64 (.f64 b b) (.f64 (*.f64 angle angle) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (.f64 (.f64 angle angle) (*.f64 b b)) (pow.f64 (PI.f64) 2)))
(.f64 (.f64 angle (.f64 angle (.f64 b b))) (*.f64 (pow.f64 (PI.f64) 2) 1/32400))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (.f64 b (.f64 angle (*.f64 angle b)))))
(.f64 1/32400 (.f64 (.f64 angle angle) (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 b (.f64 (pow.f64 (PI.f64) 2) (.f64 (*.f64 angle angle) b))))
(.f64 1/32400 (.f64 angle (.f64 angle (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2)))))
(.f64 1/32400 (.f64 (.f64 b b) (.f64 (*.f64 angle angle) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (.f64 (.f64 angle angle) (*.f64 b b)) (pow.f64 (PI.f64) 2)))
(.f64 (.f64 angle (.f64 angle (.f64 b b))) (*.f64 (pow.f64 (PI.f64) 2) 1/32400))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (.f64 b (.f64 angle (*.f64 angle b)))))
(.f64 1/32400 (.f64 (.f64 angle angle) (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 b (.f64 (pow.f64 (PI.f64) 2) (.f64 (*.f64 angle angle) b))))
(.f64 1/32400 (.f64 angle (.f64 angle (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2)))))
(.f64 1/32400 (.f64 (.f64 b b) (.f64 (*.f64 angle angle) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (.f64 (.f64 angle angle) (*.f64 b b)) (pow.f64 (PI.f64) 2)))
(.f64 (.f64 angle (.f64 angle (.f64 b b))) (*.f64 (pow.f64 (PI.f64) 2) 1/32400))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (.f64 b (.f64 angle (*.f64 angle b)))))
(.f64 1/32400 (.f64 (.f64 angle angle) (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 b (.f64 (pow.f64 (PI.f64) 2) (.f64 (*.f64 angle angle) b))))
(.f64 1/32400 (.f64 angle (.f64 angle (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2)))))
(.f64 1/32400 (.f64 (.f64 b b) (.f64 (*.f64 angle angle) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (.f64 (.f64 angle angle) (*.f64 b b)) (pow.f64 (PI.f64) 2)))
(.f64 (.f64 angle (.f64 angle (.f64 b b))) (*.f64 (pow.f64 (PI.f64) 2) 1/32400))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (.f64 b (.f64 angle (*.f64 angle b)))))
(.f64 1/32400 (.f64 (.f64 angle angle) (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 b (.f64 (pow.f64 (PI.f64) 2) (.f64 (*.f64 angle angle) b))))
(.f64 1/32400 (.f64 angle (.f64 angle (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2)))))
(.f64 1/32400 (.f64 (.f64 b b) (.f64 (*.f64 angle angle) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (.f64 (.f64 angle angle) (*.f64 b b)) (pow.f64 (PI.f64) 2)))
(.f64 (.f64 angle (.f64 angle (.f64 b b))) (*.f64 (pow.f64 (PI.f64) 2) 1/32400))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (.f64 b (.f64 angle (*.f64 angle b)))))
(.f64 1/32400 (.f64 (.f64 angle angle) (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 b (.f64 (pow.f64 (PI.f64) 2) (.f64 (*.f64 angle angle) b))))
(.f64 1/32400 (.f64 angle (.f64 angle (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2)))))
(.f64 1/32400 (.f64 (.f64 b b) (.f64 (*.f64 angle angle) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (.f64 (.f64 angle angle) (*.f64 b b)) (pow.f64 (PI.f64) 2)))
(.f64 (.f64 angle (.f64 angle (.f64 b b))) (*.f64 (pow.f64 (PI.f64) 2) 1/32400))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (.f64 b (.f64 angle (*.f64 angle b)))))
(.f64 1/32400 (.f64 (.f64 angle angle) (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 b (.f64 (pow.f64 (PI.f64) 2) (.f64 (*.f64 angle angle) b))))
(.f64 1/32400 (.f64 angle (.f64 angle (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2)))))
(.f64 1/32400 (.f64 (.f64 b b) (.f64 (*.f64 angle angle) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (.f64 (.f64 angle angle) (*.f64 b b)) (pow.f64 (PI.f64) 2)))
(.f64 (.f64 angle (.f64 angle (.f64 b b))) (*.f64 (pow.f64 (PI.f64) 2) 1/32400))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (.f64 b (.f64 angle (*.f64 angle b)))))
(.f64 1/32400 (.f64 (.f64 angle angle) (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 b (.f64 (pow.f64 (PI.f64) 2) (.f64 (*.f64 angle angle) b))))
(.f64 1/32400 (.f64 angle (.f64 angle (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2)))))
(.f64 1/32400 (.f64 (.f64 b b) (.f64 (*.f64 angle angle) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (.f64 (.f64 angle angle) (*.f64 b b)) (pow.f64 (PI.f64) 2)))
(.f64 (.f64 angle (.f64 angle (.f64 b b))) (*.f64 (pow.f64 (PI.f64) 2) 1/32400))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (.f64 b (.f64 angle (*.f64 angle b)))))
(.f64 1/32400 (.f64 (.f64 angle angle) (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 b (.f64 (pow.f64 (PI.f64) 2) (.f64 (*.f64 angle angle) b))))
(.f64 1/32400 (.f64 angle (.f64 angle (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2)))))
(.f64 1/32400 (.f64 (.f64 b b) (.f64 (*.f64 angle angle) (pow.f64 (PI.f64) 2))))

localize44.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (PI.f64) (/.f64 angle 180))
✓	0.4b	(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (*.f64 b b)))
✓	17.9b	(.f64 (.f64 angle angle) (.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (*.f64 b b))))
	24.2b	(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))

Compiler

Compiled 104 to 60 computations (42.3% saved)

series9.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	angle	@	0	(.f64 (.f64 angle angle) (.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (*.f64 b b))))
1.0ms	b	@	0	(.f64 (.f64 angle angle) (.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (*.f64 b b))))
1.0ms	b	@	inf	(.f64 (.f64 angle angle) (.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (*.f64 b b))))
1.0ms	angle	@	inf	(.f64 (.f64 angle angle) (.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (*.f64 b b))))
1.0ms	b	@	inf	(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (*.f64 b b)))

rewrite64.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

599×	`log-prod_binary64`
442×	`exp-prod_binary64`
428×	`pow-prod-down_binary64`
304×	`pow-unpow_binary64`
291×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	34
1	249	25
2	2853	25

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

Inputs
(.f64 (.f64 angle angle) (.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (*.f64 b b))))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (*.f64 b b)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 (*.f64 angle (*.f64 (PI.f64) b)) 2) 1/32400))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/32400) (pow.f64 (*.f64 (*.f64 (PI.f64) b) angle) 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/32400) (pow.f64 (*.f64 (*.f64 (PI.f64) b) angle) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/32400) (pow.f64 (*.f64 (*.f64 (PI.f64) b) angle) 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/32400) (pow.f64 (*.f64 (*.f64 (PI.f64) b) angle) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (*.f64 angle (*.f64 (PI.f64) b)) 2) 1/32400))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 angle (*.f64 (PI.f64) b)) 2) 1/32400) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 angle (*.f64 (*.f64 (PI.f64) b) 1/180)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 angle (*.f64 (*.f64 (PI.f64) b) 1/180)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 angle (*.f64 (PI.f64) b)) 2) 1/32400)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 angle (*.f64 (*.f64 (PI.f64) b) 1/180)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (*.f64 2 (log.f64 (*.f64 angle (*.f64 (*.f64 (PI.f64) b) 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 2 (log.f64 (*.f64 angle (*.f64 (*.f64 (PI.f64) b) 1/180))))) 2)) (cbrt.f64 (*.f64 2 (log.f64 (*.f64 angle (*.f64 (*.f64 (PI.f64) b) 1/180))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 2 (log.f64 (*.f64 angle (*.f64 (*.f64 (PI.f64) b) 1/180)))))) (sqrt.f64 (*.f64 2 (log.f64 (*.f64 angle (*.f64 (*.f64 (PI.f64) b) 1/180))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 angle (*.f64 (*.f64 (PI.f64) b) 1/180)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/32400) (pow.f64 (*.f64 (*.f64 (PI.f64) b) angle) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (*.f64 angle (*.f64 (PI.f64) b)) 2) 1/32400))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 angle (*.f64 (*.f64 (PI.f64) b) 1/180)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (*.f64 angle (*.f64 (PI.f64) b)) 2) 1/32400)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (*.f64 angle (*.f64 (PI.f64) b)) 2) 1/32400)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 angle (*.f64 (*.f64 (PI.f64) b) 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 angle (*.f64 (*.f64 (PI.f64) b) 1/180)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 angle (*.f64 (*.f64 (PI.f64) b) 1/180)) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 angle (*.f64 (PI.f64) b)) 2) 1/32400))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 angle (*.f64 (*.f64 (PI.f64) b) 1/180))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 angle (*.f64 (*.f64 (PI.f64) b) 1/180)))) 1) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/32400 (pow.f64 (*.f64 (PI.f64) b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) b) 2)) 1/32400)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) b) 2)) 1/32400))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) b) 2)) 1/32400))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) b) 2)) 1/32400))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/32400 (pow.f64 (*.f64 (PI.f64) b) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/32400 (pow.f64 (*.f64 (PI.f64) b) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) b) 4) 1/1049760000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) b) 1/180) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) b) 1/180)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (PI.f64) b) 1/180) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (*.f64 2 (log.f64 (*.f64 (*.f64 (PI.f64) b) 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 2 (log.f64 (*.f64 (*.f64 (PI.f64) b) 1/180)))) 2)) (cbrt.f64 (*.f64 2 (log.f64 (*.f64 (*.f64 (PI.f64) b) 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 2 (log.f64 (*.f64 (*.f64 (PI.f64) b) 1/180))))) (sqrt.f64 (*.f64 2 (log.f64 (*.f64 (*.f64 (PI.f64) b) 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) b) 4) 1/1049760000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) b) 2)) 1/32400))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/32400 (pow.f64 (*.f64 (PI.f64) b) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) b) 1/180) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/32400 (pow.f64 (*.f64 (PI.f64) b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/32400 (pow.f64 (*.f64 (PI.f64) b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 (*.f64 (PI.f64) b) 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 (*.f64 (PI.f64) b) 1/180))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) b) 1/180) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) b) 1/180)) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (PI.f64) b) 1/180)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 (*.f64 (PI.f64) b) 1/180))) 1) 1))))))

simplify239.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1499×	`unswap-sqr_binary64`
945×	`sqr-pow_binary64`
568×	`fabs-mul_binary64`
444×	`cube-prod_binary64`
420×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	648
1	34	648
2	101	648
3	484	648
4	864	648
5	1712	648
6	1779	648
7	1861	648
8	1955	648
9	2067	648
10	2219	648
11	2404	648
12	2604	648
13	2827	648
14	3078	648
15	3346	648
16	3642	648
17	3955	648
18	4296	648
19	4439	648
20	4505	648
21	6435	648
22	6606	648
23	6756	648
24	7184	648

Stop Event

1×	node limit

Counts

84 → 52

Calls

Call 1

Inputs
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 1/32400 (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 1/32400 (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 1/32400 (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 1/32400 (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 1/32400 (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 1/32400 (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 1/32400 (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 1/32400 (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 1/32400 (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 1/32400 (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 1/32400 (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))

Outputs
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 (.f64 1/32400 (.f64 angle angle)) (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2)))
(.f64 1/32400 (.f64 (.f64 angle angle) (.f64 b (*.f64 b (pow.f64 (PI.f64) 2)))))
(.f64 (.f64 angle angle) (.f64 (pow.f64 (PI.f64) 2) (.f64 b (*.f64 1/32400 b))))
(.f64 angle (.f64 (.f64 (.f64 b b) (pow.f64 (PI.f64) 2)) (*.f64 1/32400 angle)))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (.f64 angle angle) (.f64 b (*.f64 1/32400 b))))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (.f64 angle angle) (.f64 1/32400 (*.f64 b b))))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (.f64 b (.f64 angle (*.f64 angle b)))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 (.f64 1/32400 (.f64 angle angle)) (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2)))
(.f64 1/32400 (.f64 (.f64 angle angle) (.f64 b (*.f64 b (pow.f64 (PI.f64) 2)))))
(.f64 (.f64 angle angle) (.f64 (pow.f64 (PI.f64) 2) (.f64 b (*.f64 1/32400 b))))
(.f64 angle (.f64 (.f64 (.f64 b b) (pow.f64 (PI.f64) 2)) (*.f64 1/32400 angle)))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (.f64 angle angle) (.f64 b (*.f64 1/32400 b))))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (.f64 angle angle) (.f64 1/32400 (*.f64 b b))))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (.f64 b (.f64 angle (*.f64 angle b)))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 (.f64 1/32400 (.f64 angle angle)) (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2)))
(.f64 1/32400 (.f64 (.f64 angle angle) (.f64 b (*.f64 b (pow.f64 (PI.f64) 2)))))
(.f64 (.f64 angle angle) (.f64 (pow.f64 (PI.f64) 2) (.f64 b (*.f64 1/32400 b))))
(.f64 angle (.f64 (.f64 (.f64 b b) (pow.f64 (PI.f64) 2)) (*.f64 1/32400 angle)))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (.f64 angle angle) (.f64 b (*.f64 1/32400 b))))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (.f64 angle angle) (.f64 1/32400 (*.f64 b b))))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (.f64 b (.f64 angle (*.f64 angle b)))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 (.f64 1/32400 (.f64 angle angle)) (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2)))
(.f64 1/32400 (.f64 (.f64 angle angle) (.f64 b (*.f64 b (pow.f64 (PI.f64) 2)))))
(.f64 (.f64 angle angle) (.f64 (pow.f64 (PI.f64) 2) (.f64 b (*.f64 1/32400 b))))
(.f64 angle (.f64 (.f64 (.f64 b b) (pow.f64 (PI.f64) 2)) (*.f64 1/32400 angle)))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (.f64 angle angle) (.f64 b (*.f64 1/32400 b))))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (.f64 angle angle) (.f64 1/32400 (*.f64 b b))))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (.f64 b (.f64 angle (*.f64 angle b)))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 (.f64 1/32400 (.f64 angle angle)) (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2)))
(.f64 1/32400 (.f64 (.f64 angle angle) (.f64 b (*.f64 b (pow.f64 (PI.f64) 2)))))
(.f64 (.f64 angle angle) (.f64 (pow.f64 (PI.f64) 2) (.f64 b (*.f64 1/32400 b))))
(.f64 angle (.f64 (.f64 (.f64 b b) (pow.f64 (PI.f64) 2)) (*.f64 1/32400 angle)))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (.f64 angle angle) (.f64 b (*.f64 1/32400 b))))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (.f64 angle angle) (.f64 1/32400 (*.f64 b b))))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (.f64 b (.f64 angle (*.f64 angle b)))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 (.f64 1/32400 (.f64 angle angle)) (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2)))
(.f64 1/32400 (.f64 (.f64 angle angle) (.f64 b (*.f64 b (pow.f64 (PI.f64) 2)))))
(.f64 (.f64 angle angle) (.f64 (pow.f64 (PI.f64) 2) (.f64 b (*.f64 1/32400 b))))
(.f64 angle (.f64 (.f64 (.f64 b b) (pow.f64 (PI.f64) 2)) (*.f64 1/32400 angle)))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (.f64 angle angle) (.f64 b (*.f64 1/32400 b))))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (.f64 angle angle) (.f64 1/32400 (*.f64 b b))))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (.f64 b (.f64 angle (*.f64 angle b)))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 (.f64 1/32400 (.f64 angle angle)) (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2)))
(.f64 1/32400 (.f64 (.f64 angle angle) (.f64 b (*.f64 b (pow.f64 (PI.f64) 2)))))
(.f64 (.f64 angle angle) (.f64 (pow.f64 (PI.f64) 2) (.f64 b (*.f64 1/32400 b))))
(.f64 angle (.f64 (.f64 (.f64 b b) (pow.f64 (PI.f64) 2)) (*.f64 1/32400 angle)))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (.f64 angle angle) (.f64 b (*.f64 1/32400 b))))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (.f64 angle angle) (.f64 1/32400 (*.f64 b b))))
(.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (.f64 b (.f64 angle (*.f64 angle b)))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
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(.f64 (pow.f64 (PI.f64) 2) (.f64 1/32400 (*.f64 b b)))
(.f64 b (.f64 1/32400 (*.f64 b (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (.f64 1/32400 (*.f64 b b)) (pow.f64 (PI.f64) 2))
(.f64 (.f64 b b) (*.f64 (pow.f64 (PI.f64) 2) 1/32400))
(.f64 (pow.f64 (PI.f64) 2) (.f64 b (*.f64 1/32400 b)))
(.f64 (.f64 b b) (*.f64 1/32400 (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 (PI.f64) 2) (.f64 1/32400 (*.f64 b b)))
(.f64 b (.f64 1/32400 (*.f64 b (pow.f64 (PI.f64) 2))))

localize47.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) 3)
✓	0.3b	(.f64 (.f64 (PI.f64) angle) 1/180)
	0.3b	(.f64 1/180 (.f64 angle (PI.f64)))
	24.2b	(cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180))

Compiler

Compiled 112 to 66 computations (41.1% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	angle	@	0	(pow.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) 3)
1.0ms	angle	@	inf	(pow.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) 3)
1.0ms	angle	@	-inf	(pow.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) 3)
0.0ms	angle	@	0	(.f64 (.f64 (PI.f64) angle) 1/180)
0.0ms	angle	@	inf	(.f64 (.f64 (PI.f64) angle) 1/180)

rewrite54.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

807×	`pow1_binary64`
750×	`add-log-exp_binary64`
750×	`log1p-expm1-u_binary64`
750×	`expm1-log1p-u_binary64`
734×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	189	21
2	2062	21

Stop Event

1×	node limit

Counts

2 → 30

Calls

Call 1

Inputs
(.f64 (.f64 (PI.f64) angle) 1/180)
(pow.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) 3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (PI.f64) (*.f64 angle 1/180))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/32400 (pow.f64 (*.f64 (PI.f64) angle) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/180) (*.f64 (PI.f64) angle)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2)) (*.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) (*.f64 (sqrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 3/2) (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2)) 3) (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 3) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) 1) (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2))) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) (sqrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))) (sqrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))))))

simplify112.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

594×	`distribute-lft-out_binary64`
514×	`distribute-rgt-in_binary64`
508×	`distribute-rgt-out_binary64`
502×	`distribute-lft-in_binary64`
448×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	56	360
1	157	336
2	528	300
3	2997	290
4	6667	290
5	7392	290
6	7565	290
7	7844	290

Stop Event

1×	node limit

Counts

54 → 41

Calls

Call 1

Inputs
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
1
(+.f64 1 (.f64 (+.f64 (.f64 -1/32400 (pow.f64 (PI.f64) 2)) (*.f64 -1/64800 (pow.f64 (PI.f64) 2))) (pow.f64 angle 2)))
(+.f64 1 (+.f64 (.f64 (+.f64 (.f64 -1/32400 (pow.f64 (PI.f64) 2)) (.f64 -1/64800 (pow.f64 (PI.f64) 2))) (pow.f64 angle 2)) (.f64 (pow.f64 angle 4) (+.f64 (.f64 1/25194240000 (pow.f64 (PI.f64) 4)) (+.f64 (.f64 1/12597120000 (pow.f64 (PI.f64) 4)) (+.f64 (.f64 1/4199040000 (pow.f64 (PI.f64) 4)) (.f64 1/2099520000 (pow.f64 (PI.f64) 4))))))))
(+.f64 1 (+.f64 (.f64 (+.f64 (.f64 -1/32400 (pow.f64 (PI.f64) 2)) (.f64 -1/64800 (pow.f64 (PI.f64) 2))) (pow.f64 angle 2)) (+.f64 (.f64 (pow.f64 angle 6) (+.f64 (.f64 -1/408146688000000 (pow.f64 (PI.f64) 6)) (+.f64 (.f64 -1/12244400640000000 (pow.f64 (PI.f64) 6)) (+.f64 (.f64 -1/64800 (.f64 (+.f64 (.f64 1/12597120000 (pow.f64 (PI.f64) 4)) (.f64 1/4199040000 (pow.f64 (PI.f64) 4))) (pow.f64 (PI.f64) 2))) (.f64 -1/24488801280000000 (pow.f64 (PI.f64) 6)))))) (.f64 (pow.f64 angle 4) (+.f64 (.f64 1/25194240000 (pow.f64 (PI.f64) 4)) (+.f64 (.f64 1/12597120000 (pow.f64 (PI.f64) 4)) (+.f64 (.f64 1/4199040000 (pow.f64 (PI.f64) 4)) (.f64 1/2099520000 (pow.f64 (PI.f64) 4)))))))))
(pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 3)
(pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 3)
(pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 3)
(pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 3)
(pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 3)
(pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 3)
(pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 3)
(pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 3)

Outputs
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 angle (.f64 1/180 (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 angle (.f64 1/180 (PI.f64)))
1
(+.f64 1 (.f64 (+.f64 (.f64 -1/32400 (pow.f64 (PI.f64) 2)) (*.f64 -1/64800 (pow.f64 (PI.f64) 2))) (pow.f64 angle 2)))
(+.f64 1 (.f64 (.f64 (pow.f64 (PI.f64) 2) -1/21600) (*.f64 angle angle)))
(fma.f64 (.f64 (pow.f64 (PI.f64) 2) -1/21600) (.f64 angle angle) 1)
(fma.f64 (pow.f64 (PI.f64) 2) (.f64 (.f64 angle angle) -1/21600) 1)
(fma.f64 (pow.f64 (PI.f64) 2) (.f64 (.f64 -1/21600 angle) angle) 1)
(+.f64 1 (+.f64 (.f64 (+.f64 (.f64 -1/32400 (pow.f64 (PI.f64) 2)) (.f64 -1/64800 (pow.f64 (PI.f64) 2))) (pow.f64 angle 2)) (.f64 (pow.f64 angle 4) (+.f64 (.f64 1/25194240000 (pow.f64 (PI.f64) 4)) (+.f64 (.f64 1/12597120000 (pow.f64 (PI.f64) 4)) (+.f64 (.f64 1/4199040000 (pow.f64 (PI.f64) 4)) (.f64 1/2099520000 (pow.f64 (PI.f64) 4))))))))
(+.f64 1 (fma.f64 (.f64 (pow.f64 (PI.f64) 2) -1/21600) (.f64 angle angle) (.f64 (pow.f64 angle 4) (fma.f64 1/25194240000 (pow.f64 (PI.f64) 4) (fma.f64 1/12597120000 (pow.f64 (PI.f64) 4) (.f64 (pow.f64 (PI.f64) 4) 1/1399680000))))))
(+.f64 1 (fma.f64 (.f64 (pow.f64 (PI.f64) 2) -1/21600) (.f64 angle angle) (.f64 (pow.f64 angle 4) (fma.f64 1/25194240000 (pow.f64 (PI.f64) 4) (.f64 (pow.f64 (PI.f64) 4) 1/1259712000)))))
(fma.f64 (pow.f64 (PI.f64) 2) (.f64 (.f64 angle angle) -1/21600) (fma.f64 (pow.f64 angle 4) (*.f64 (pow.f64 (PI.f64) 4) 7/8398080000) 1))
(fma.f64 (pow.f64 (PI.f64) 2) (.f64 (.f64 -1/21600 angle) angle) (fma.f64 (pow.f64 angle 4) (*.f64 (pow.f64 (PI.f64) 4) 7/8398080000) 1))
(+.f64 1 (+.f64 (.f64 (+.f64 (.f64 -1/32400 (pow.f64 (PI.f64) 2)) (.f64 -1/64800 (pow.f64 (PI.f64) 2))) (pow.f64 angle 2)) (+.f64 (.f64 (pow.f64 angle 6) (+.f64 (.f64 -1/408146688000000 (pow.f64 (PI.f64) 6)) (+.f64 (.f64 -1/12244400640000000 (pow.f64 (PI.f64) 6)) (+.f64 (.f64 -1/64800 (.f64 (+.f64 (.f64 1/12597120000 (pow.f64 (PI.f64) 4)) (.f64 1/4199040000 (pow.f64 (PI.f64) 4))) (pow.f64 (PI.f64) 2))) (.f64 -1/24488801280000000 (pow.f64 (PI.f64) 6)))))) (.f64 (pow.f64 angle 4) (+.f64 (.f64 1/25194240000 (pow.f64 (PI.f64) 4)) (+.f64 (.f64 1/12597120000 (pow.f64 (PI.f64) 4)) (+.f64 (.f64 1/4199040000 (pow.f64 (PI.f64) 4)) (.f64 1/2099520000 (pow.f64 (PI.f64) 4)))))))))
(+.f64 1 (fma.f64 (.f64 (pow.f64 (PI.f64) 2) -1/21600) (.f64 angle angle) (fma.f64 (pow.f64 angle 6) (fma.f64 -1/408146688000000 (pow.f64 (PI.f64) 6) (fma.f64 -1/12244400640000000 (pow.f64 (PI.f64) 6) (fma.f64 -1/64800 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 4) 1/3149280000)) (.f64 (pow.f64 (PI.f64) 6) -1/24488801280000000)))) (.f64 (pow.f64 angle 4) (fma.f64 1/25194240000 (pow.f64 (PI.f64) 4) (fma.f64 1/12597120000 (pow.f64 (PI.f64) 4) (*.f64 (pow.f64 (PI.f64) 4) 1/1399680000)))))))
(+.f64 1 (fma.f64 (.f64 (pow.f64 (PI.f64) 2) -1/21600) (.f64 angle angle) (fma.f64 (pow.f64 angle 4) (fma.f64 1/25194240000 (pow.f64 (PI.f64) 4) (.f64 (pow.f64 (PI.f64) 4) 1/1259712000)) (.f64 (pow.f64 angle 6) (+.f64 (fma.f64 -1/64800 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 4) 1/3149280000)) (.f64 (pow.f64 (PI.f64) 6) -1/24488801280000000)) (.f64 (pow.f64 (PI.f64) 6) -31/12244400640000000))))))
(+.f64 1 (fma.f64 angle (.f64 angle (.f64 (pow.f64 (PI.f64) 2) -1/21600)) (fma.f64 (pow.f64 angle 4) (.f64 (pow.f64 (PI.f64) 4) 7/8398080000) (.f64 (pow.f64 angle 6) (+.f64 (.f64 (pow.f64 (PI.f64) 6) -1/204073344000000) (.f64 (pow.f64 (PI.f64) 6) -7/2720977920000000))))))
(+.f64 1 (fma.f64 (pow.f64 (PI.f64) 2) (.f64 (.f64 -1/21600 angle) angle) (fma.f64 (pow.f64 angle 6) (.f64 (pow.f64 (PI.f64) 6) -61/8162933760000000) (.f64 (*.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4)) 7/8398080000))))
(pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 3)
(pow.f64 (cos.f64 (.f64 angle (.f64 1/180 (PI.f64)))) 3)
(pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 3)
(pow.f64 (cos.f64 (.f64 angle (.f64 1/180 (PI.f64)))) 3)
(pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 3)
(pow.f64 (cos.f64 (.f64 angle (.f64 1/180 (PI.f64)))) 3)
(pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 3)
(pow.f64 (cos.f64 (.f64 angle (.f64 1/180 (PI.f64)))) 3)
(pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 3)
(pow.f64 (cos.f64 (.f64 angle (.f64 1/180 (PI.f64)))) 3)
(pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 3)
(pow.f64 (cos.f64 (.f64 angle (.f64 1/180 (PI.f64)))) 3)
(pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 3)
(pow.f64 (cos.f64 (.f64 angle (.f64 1/180 (PI.f64)))) 3)
(pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 3)
(pow.f64 (cos.f64 (.f64 angle (.f64 1/180 (PI.f64)))) 3)

localize50.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(.f64 (.f64 (PI.f64) angle) 1/180)
✓	0.6b	(pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (*.f64 (PI.f64) angle) 1/180)) b)) 5)
✓	8.8b	(cbrt.f64 (.f64 (sin.f64 (.f64 (*.f64 (PI.f64) angle) 1/180)) b))
✓	23.8b	(sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180))

Compiler

Compiled 109 to 67 computations (38.5% saved)

series18.0ms (0.1%)

Counts

3 → 28

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	angle	@	0	(pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (*.f64 (PI.f64) angle) 1/180)) b)) 5)
2.0ms	b	@	-inf	(pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (*.f64 (PI.f64) angle) 1/180)) b)) 5)
2.0ms	b	@	0	(pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (*.f64 (PI.f64) angle) 1/180)) b)) 5)
2.0ms	angle	@	inf	(cbrt.f64 (.f64 (sin.f64 (.f64 (*.f64 (PI.f64) angle) 1/180)) b))
2.0ms	angle	@	-inf	(cbrt.f64 (.f64 (sin.f64 (.f64 (*.f64 (PI.f64) angle) 1/180)) b))

rewrite78.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

565×	`log-prod_binary64`
428×	`exp-prod_binary64`
335×	`pow-prod-down_binary64`
300×	`pow2_binary64`
289×	`prod-diff_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	43
1	245	43
2	2797	43

Stop Event

1×	node limit

Counts

3 → 96

Calls

Call 1

Inputs
(sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180))
(cbrt.f64 (.f64 (sin.f64 (.f64 (*.f64 (PI.f64) angle) 1/180)) b))
(pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (*.f64 (PI.f64) angle) 1/180)) b)) 5)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))) 2)) (cbrt.f64 (log.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))) (sqrt.f64 (log.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 1) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 b) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b) 1/6) (pow.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (log.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) 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(cbrt.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/6 (log.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b)) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b)) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b))) 1) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b)) 5))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b)) 5))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b)) 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b)) 5)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b)) 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b)) 5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b)) 5) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b)) 5))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b))) 5) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b)) 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b)) 10)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b))) 5))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b) 5/6) (pow.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b))) 10) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b))) 5))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 5) (pow.f64 (cbrt.f64 b) 5))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b)) 10))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b)) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b)) 5))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b) 5))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b)) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b)) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 5/3 (log.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 5/3 (log.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b)) 5/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b) 5)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b))) 5/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (*.f64 5/3 (log.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 5/6 (log.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b)) 1) 5/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b)) 1/3) 5))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b))) 1) 5))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 5/3 (log.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b))) 5/2) 2))))))

simplify220.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1070×	`sqr-pow_binary64`
811×	`fma-def_binary64`
546×	`unswap-sqr_binary64`
480×	`pow-sqr_binary64`
434×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	484
1	109	484
2	297	484
3	1059	484
4	2246	484
5	3134	484
6	3270	484
7	3447	484
8	3666	484
9	3933	484
10	4320	484
11	4827	484
12	5424	484
13	6140	484
14	6440	484
15	6700	484
16	6860	484
17	7040	484
18	7100	484
19	7847	484

Stop Event

1×	node limit

Counts

124 → 110

Calls

Call 1

Inputs
(.f64 1/180 (.f64 angle (PI.f64)))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (.f64 1/180 (.f64 angle (PI.f64))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (+.f64 (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5))) (.f64 -1/30855889612800000000 (.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7))))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(pow.f64 (.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 1/3)
(pow.f64 (.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 1/3)
(pow.f64 (.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 1/3)
(pow.f64 (.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 1/3)
(pow.f64 (.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 1/3)
(pow.f64 (.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 1/3)
(pow.f64 (.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 1/3)
(pow.f64 (.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 1/3)
(pow.f64 (.f64 (pow.f64 b 5) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 5)) 1/3)
(pow.f64 (.f64 (pow.f64 b 5) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 5)) 1/3)
(pow.f64 (.f64 (pow.f64 b 5) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 5)) 1/3)
(pow.f64 (.f64 (pow.f64 b 5) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 5)) 1/3)
(pow.f64 (.f64 (pow.f64 b 5) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 5)) 1/3)
(pow.f64 (.f64 (pow.f64 b 5) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 5)) 1/3)
(pow.f64 (.f64 (pow.f64 b 5) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 5)) 1/3)
(pow.f64 (.f64 (pow.f64 b 5) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 5)) 1/3)

Outputs
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 angle (.f64 1/180 (PI.f64)))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (.f64 1/180 (.f64 angle (PI.f64))))
(fma.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)) (.f64 1/180 (*.f64 angle (PI.f64))))
(fma.f64 1/180 (.f64 angle (PI.f64)) (.f64 (pow.f64 (PI.f64) 3) (*.f64 -1/34992000 (pow.f64 angle 3))))
(fma.f64 1/180 (.f64 angle (PI.f64)) (.f64 -1/34992000 (*.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))))
(.f64 angle (fma.f64 -1/34992000 (.f64 (pow.f64 (PI.f64) 3) (.f64 angle angle)) (.f64 1/180 (PI.f64))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))))
(fma.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)) (fma.f64 1/180 (.f64 angle (PI.f64)) (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))))
(fma.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)) (fma.f64 1/180 (.f64 angle (PI.f64)) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/22674816000000 (pow.f64 angle 5)))))
(fma.f64 1/180 (.f64 angle (PI.f64)) (fma.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)) (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))))
(fma.f64 1/180 (.f64 angle (PI.f64)) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 -1/34992000 (pow.f64 angle 3)) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/22674816000000 (pow.f64 angle 5)))))
(fma.f64 angle (fma.f64 -1/34992000 (.f64 (pow.f64 (PI.f64) 3) (.f64 angle angle)) (.f64 1/180 (PI.f64))) (.f64 1/22674816000000 (*.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (+.f64 (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5))) (.f64 -1/30855889612800000000 (.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7))))))
(fma.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)) (fma.f64 1/180 (.f64 angle (PI.f64)) (fma.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)) (.f64 -1/30855889612800000000 (*.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7))))))
(fma.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)) (fma.f64 1/180 (.f64 angle (PI.f64)) (fma.f64 -1/30855889612800000000 (.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7)) (.f64 (pow.f64 (PI.f64) 5) (*.f64 1/22674816000000 (pow.f64 angle 5))))))
(fma.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)) (fma.f64 1/180 (.f64 angle (PI.f64)) (fma.f64 (pow.f64 (PI.f64) 5) (.f64 1/22674816000000 (pow.f64 angle 5)) (.f64 -1/30855889612800000000 (*.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7))))))
(fma.f64 1/180 (.f64 angle (PI.f64)) (fma.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)) (fma.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)) (.f64 (pow.f64 angle 7) (*.f64 -1/30855889612800000000 (pow.f64 (PI.f64) 7))))))
(fma.f64 angle (fma.f64 -1/34992000 (.f64 (pow.f64 (PI.f64) 3) (.f64 angle angle)) (.f64 1/180 (PI.f64))) (fma.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)) (.f64 (pow.f64 angle 7) (.f64 -1/30855889612800000000 (pow.f64 (PI.f64) 7)))))
(fma.f64 1/180 (.f64 angle (PI.f64)) (fma.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)) (fma.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)) (.f64 -1/30855889612800000000 (*.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7))))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))
(pow.f64 (.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 1/3)
(cbrt.f64 (.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) b))
(cbrt.f64 (.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) b))
(pow.f64 (.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 1/3)
(cbrt.f64 (.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) b))
(cbrt.f64 (.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) b))
(pow.f64 (.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 1/3)
(cbrt.f64 (.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) b))
(cbrt.f64 (.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) b))
(pow.f64 (.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 1/3)
(cbrt.f64 (.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) b))
(cbrt.f64 (.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) b))
(pow.f64 (.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 1/3)
(cbrt.f64 (.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) b))
(cbrt.f64 (.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) b))
(pow.f64 (.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 1/3)
(cbrt.f64 (.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) b))
(cbrt.f64 (.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) b))
(pow.f64 (.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 1/3)
(cbrt.f64 (.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) b))
(cbrt.f64 (.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) b))
(pow.f64 (.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 1/3)
(cbrt.f64 (.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) b))
(cbrt.f64 (.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) b))
(pow.f64 (.f64 (pow.f64 b 5) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 5)) 1/3)
(cbrt.f64 (.f64 (pow.f64 b 5) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 5)))
(cbrt.f64 (.f64 (pow.f64 b 5) (pow.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) 5)))
(pow.f64 (.f64 (pow.f64 b 5) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 5)) 1/3)
(cbrt.f64 (.f64 (pow.f64 b 5) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 5)))
(cbrt.f64 (.f64 (pow.f64 b 5) (pow.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) 5)))
(pow.f64 (.f64 (pow.f64 b 5) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 5)) 1/3)
(cbrt.f64 (.f64 (pow.f64 b 5) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 5)))
(cbrt.f64 (.f64 (pow.f64 b 5) (pow.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) 5)))
(pow.f64 (.f64 (pow.f64 b 5) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 5)) 1/3)
(cbrt.f64 (.f64 (pow.f64 b 5) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 5)))
(cbrt.f64 (.f64 (pow.f64 b 5) (pow.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) 5)))
(pow.f64 (.f64 (pow.f64 b 5) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 5)) 1/3)
(cbrt.f64 (.f64 (pow.f64 b 5) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 5)))
(cbrt.f64 (.f64 (pow.f64 b 5) (pow.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) 5)))
(pow.f64 (.f64 (pow.f64 b 5) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 5)) 1/3)
(cbrt.f64 (.f64 (pow.f64 b 5) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 5)))
(cbrt.f64 (.f64 (pow.f64 b 5) (pow.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) 5)))
(pow.f64 (.f64 (pow.f64 b 5) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 5)) 1/3)
(cbrt.f64 (.f64 (pow.f64 b 5) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 5)))
(cbrt.f64 (.f64 (pow.f64 b 5) (pow.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) 5)))
(pow.f64 (.f64 (pow.f64 b 5) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 5)) 1/3)
(cbrt.f64 (.f64 (pow.f64 b 5) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 5)))
(cbrt.f64 (.f64 (pow.f64 b 5) (pow.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) 5)))

eval321.0ms (1.8%)

Compiler: Compiled 16160 to 11300 computations (30.1% saved)

prune283.0ms (1.6%)

Pruning

110 alts after pruning (104 fresh and 6 done)

	Pruned	Kept	Total
New	537	40	577
Fresh	9	64	73
Picked	1	0	1
Done	2	6	8
Total	549	110	659

Error

18.5b

Counts

659 → 110

Alt Table

Click to see full alt table

Status	Error	Program
	47.7b	(+.f64 (pow.f64 (.f64 a (cos.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) 3)))) 2) (pow.f64 (.f64 b (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
	25.2b	(+.f64 (pow.f64 (.f64 a (log1p.f64 (expm1.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180))))) 2) (pow.f64 (.f64 b (.f64 1/180 (.f64 angle (PI.f64)))) 2))
	25.1b	(+.f64 (pow.f64 (.f64 a (log.f64 (exp.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180))))) 2) (pow.f64 (.f64 b (.f64 angle (.f64 (PI.f64) 1/180))) 2))
	29.2b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) 2) (*.f64 b b)))
▶	19.7b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) b) 2))
	34.6b	(+.f64 (pow.f64 (.f64 a (log.f64 (exp.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180))))) 2) (.f64 (.f64 angle angle) (.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (.f64 b b)))))
	34.5b	(+.f64 (pow.f64 (.f64 a (cos.f64 (/.f64 (.f64 (PI.f64) angle) 180))) 2) (.f64 (.f64 angle angle) (.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (*.f64 b b)))))
	39.2b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (pow.f64 (pow.f64 (.f64 (.f64 (PI.f64) angle) 1/180) 3) 1/3))) 2))
▶	24.9b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 (.f64 angle (.f64 b (PI.f64))) 2) 1/32400))
	20.3b	(+.f64 (pow.f64 (.f64 a (-.f64 (exp.f64 (log1p.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180)))) 1)) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	30.4b	(+.f64 (pow.f64 (.f64 a 1) 2) (exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (sin.f64 (.f64 (*.f64 (PI.f64) angle) 1/180)) b) 6)) 1/3)))
	20.1b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) 3))) 2))
✓	19.7b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	20.3b	(+.f64 (pow.f64 (.f64 a (pow.f64 (cbrt.f64 (log.f64 (exp.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))
	28.6b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 1/180 (-.f64 (+.f64 1 (.f64 angle (.f64 b (PI.f64)))) 1)) 2))
	20.3b	(+.f64 (pow.f64 (.f64 a (expm1.f64 (log1p.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	38.0b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (exp.f64 (.f64 (.f64 (log.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b)) 1/3) 5)) (cbrt.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) b))))
	24.9b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (.f64 angle (.f64 (PI.f64) 1/180))) 2))
	20.3b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 (+.f64 0 (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b))) 5) (cbrt.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) b))))
	23.8b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (/.f64 1 (/.f64 180 (expm1.f64 (log1p.f64 (.f64 (PI.f64) angle))))))) 2))
	20.3b	(+.f64 (pow.f64 (.f64 a (pow.f64 (cbrt.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 3)) 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 (sin.f64 (/.f64 (.f64 (PI.f64) angle) 180))) 2))
	21.2b	(+.f64 (pow.f64 (.f64 a (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180))))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	44.7b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) 2))) 2))
	20.6b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b))) 3) 5) (cbrt.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) b))))
	20.3b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) b)) 5) (+.f64 0 (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b)))))
	40.2b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (exp.f64 (.f64 (log.f64 (.f64 angle (.f64 (.f64 (PI.f64) b) 1/180))) 2)))
	25.2b	(+.f64 (pow.f64 (.f64 a (cbrt.f64 (-.f64 (+.f64 1 (pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 3)) 1))) 2) (pow.f64 (.f64 b (.f64 1/180 (.f64 angle (PI.f64)))) 2))
	23.6b	(+.f64 (pow.f64 (.f64 a (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (PI.f64) angle) 1/180)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (PI.f64) angle) 1/180)))) (sin.f64 1)))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	25.2b	(+.f64 (pow.f64 (.f64 a (cos.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) 3))) 2) (pow.f64 (.f64 b (.f64 1/180 (.f64 angle (PI.f64)))) 2))
	20.3b	(+.f64 (pow.f64 (.f64 a (cos.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) 3))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	20.3b	(+.f64 (pow.f64 (.f64 a (log.f64 (exp.f64 (-.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 1)))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	24.9b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (.f64 (PI.f64) (.f64 1/180 angle))) 2))
	23.4b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 1/180 (.f64 angle (-.f64 (+.f64 1 (.f64 b (PI.f64))) 1))) 2))
	20.3b	(+.f64 (pow.f64 (.f64 a (pow.f64 (cbrt.f64 (log1p.f64 (expm1.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))
	47.6b	(+.f64 (pow.f64 (.f64 a (cos.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) 2))) 2) (pow.f64 (.f64 b (.f64 1/180 (.f64 angle (PI.f64)))) 2))
	20.3b	(+.f64 (pow.f64 (.f64 a (.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2) (cbrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))
✓	20.3b	(+.f64 (pow.f64 (.f64 a (log.f64 (exp.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	20.3b	(+.f64 (pow.f64 (.f64 a (pow.f64 (cbrt.f64 (+.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)))))))) 3)) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	23.7b	(+.f64 (pow.f64 (.f64 a (cos.f64 (expm1.f64 (log1p.f64 (.f64 (.f64 (PI.f64) angle) 1/180))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	31.7b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (/.f64 1 (/.f64 180 (cbrt.f64 (pow.f64 (.f64 (PI.f64) angle) 3)))))) 2))
	31.8b	(+.f64 (pow.f64 (.f64 a (cos.f64 (pow.f64 (pow.f64 (.f64 (.f64 (PI.f64) angle) 1/180) 3) 1/3))) 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 180 angle)))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
▶	20.3b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) b) (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) b))
	37.6b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (exp.f64 (log.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))) 2))
	35.3b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 (cbrt.f64 (.f64 (-.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))) b)) 5) (cbrt.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) b))))
	20.3b	(+.f64 (pow.f64 (.f64 a (pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 1)) 3)) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
▶	25.1b	(+.f64 (pow.f64 (.f64 a (pow.f64 (cbrt.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) 3)) 2) (pow.f64 (.f64 b (.f64 angle (.f64 (PI.f64) 1/180))) 2))
	24.9b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))) (.f64 angle (.f64 b (PI.f64)))) 1/180))
	20.1b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) b)) 5) (cbrt.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) b))))
	21.3b	(+.f64 (pow.f64 (.f64 a (log.f64 (exp.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) 2)) (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))
	34.5b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 angle angle) (.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (.f64 b b)))))
	35.3b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) b)) 5) (cbrt.f64 (.f64 (-.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))) b))))
	24.7b	(+.f64 (pow.f64 (.f64 a (cos.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 (PI.f64) angle) 1/180) 3)))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	34.6b	(+.f64 (pow.f64 (.f64 a (cos.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) 3))) 2) (.f64 (.f64 angle angle) (.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (.f64 b b)))))
	34.8b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 b b) (.f64 (pow.f64 (PI.f64) 2) (.f64 angle (.f64 angle 1/32400)))))
	32.1b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 (PI.f64) angle) 1/180) 3)))) 2))
	24.9b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))) 1/180) (.f64 angle (.f64 b (PI.f64)))))
✓	20.3b	(+.f64 (pow.f64 (.f64 a (pow.f64 (cbrt.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) 3)) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
▶	26.1b	(+.f64 (pow.f64 (.f64 a (cbrt.f64 (pow.f64 (cos.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 3))) 3))) 2) (pow.f64 (.f64 b (.f64 1/180 (.f64 angle (PI.f64)))) 2))
	20.0b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (pow.f64 (cbrt.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) 3)) 2))
	24.9b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (.f64 1/180 (.f64 angle (PI.f64)))) 2))
	20.3b	(+.f64 (pow.f64 (.f64 a (-.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 1)) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
✓	25.2b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
	23.6b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (expm1.f64 (log1p.f64 (.f64 (.f64 (PI.f64) angle) 1/180))))) 2))
	19.7b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))
	38.1b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b))))) 5) (cbrt.f64 (.f64 (sin.f64 (.f64 (*.f64 (PI.f64) angle) 1/180)) b))))
	26.6b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b) 2) 1/6) 5) (cbrt.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) b))))
	34.3b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 (.f64 angle angle) (pow.f64 (.f64 (.f64 (PI.f64) b) 1/180) 2)))
✓	24.9b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))) 2))
	20.3b	(+.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))
	25.2b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 b (.f64 1/180 (.f64 angle (PI.f64)))) 2))
	20.6b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (/.f64 1 (/.f64 180 (pow.f64 (cbrt.f64 (.f64 (PI.f64) angle)) 3))))) 2))
	26.1b	(+.f64 (pow.f64 (.f64 a (cos.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 (PI.f64) angle) 1/180) 3)))) 2) (pow.f64 (.f64 b (.f64 1/180 (.f64 angle (PI.f64)))) 2))
	19.8b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (/.f64 1 (/.f64 180 (*.f64 (PI.f64) angle))))) 2))
	22.8b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 b (.f64 b (pow.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))) 2))))
✓	19.7b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 2))
	34.8b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 (.f64 1/180 angle) (.f64 1/180 angle)) (pow.f64 (.f64 b (PI.f64)) 2)))
	25.2b	(+.f64 (pow.f64 (.f64 a (cos.f64 (/.f64 (PI.f64) (/.f64 180 angle)))) 2) (pow.f64 (.f64 b (.f64 1/180 (.f64 angle (PI.f64)))) 2))
	39.1b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (/.f64 1 (/.f64 180 (pow.f64 (pow.f64 (.f64 (PI.f64) angle) 3) 1/3))))) 2))
	25.2b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 2) (pow.f64 (.f64 b (.f64 1/180 (.f64 angle (PI.f64)))) 2))
	19.9b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b)) 3) 2))
	19.7b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (/.f64 (*.f64 (PI.f64) angle) 180))) 2))
	31.0b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (log.f64 (exp.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180))))) 2))
	25.2b	(+.f64 (pow.f64 (.f64 a (cbrt.f64 (pow.f64 (cos.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 3)) 3))) 2) (pow.f64 (.f64 b (.f64 1/180 (.f64 angle (PI.f64)))) 2))
	30.2b	(+.f64 (pow.f64 (.f64 a 1) 2) (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) b) 6)))
	28.1b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) b)) 5) (cbrt.f64 (.f64 (sqrt.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2)) b))))
	44.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) 3)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))
	20.3b	(+.f64 (pow.f64 (.f64 a (log.f64 (exp.f64 (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))
	32.6b	(+.f64 (pow.f64 (.f64 a (cbrt.f64 (pow.f64 (cos.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 3) 1/3)) 3))) 2) (pow.f64 (.f64 b (.f64 1/180 (.f64 angle (PI.f64)))) 2))
	20.3b	(+.f64 (pow.f64 (.f64 a 1) 2) (expm1.f64 (log1p.f64 (pow.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) b) 2))))
	25.8b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (.f64 b (.f64 angle (*.f64 angle b))))))
	25.2b	(+.f64 (pow.f64 (.f64 a (cos.f64 (/.f64 (.f64 (PI.f64) angle) 180))) 2) (pow.f64 (.f64 b (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
	26.5b	(+.f64 (pow.f64 (.f64 a (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (PI.f64) angle) 1/180)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (PI.f64) angle) 1/180)))) (sin.f64 1)))) 2) (pow.f64 (.f64 b (.f64 1/180 (.f64 angle (PI.f64)))) 2))
	39.4b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 3) 1/3)) b)) 5) (cbrt.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) b))))
	45.2b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) 1/3)))) 2))
	37.9b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b) 1/3) 5) (cbrt.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) b))))
	44.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) 1/3)))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	25.2b	(+.f64 (pow.f64 (.f64 a (cbrt.f64 (pow.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 3))) 2) (pow.f64 (.f64 b (.f64 1/180 (.f64 angle (PI.f64)))) 2))
	22.8b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 b (.f64 b (pow.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 2))))
	45.4b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) b)) 5) (cbrt.f64 (.f64 (sin.f64 (exp.f64 (log.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) b))))
	24.9b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (PI.f64) (.f64 b (.f64 1/180 angle))) 2))
	20.3b	(+.f64 (pow.f64 (.f64 a (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 3)) 3)) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	47.7b	(+.f64 (pow.f64 (.f64 a (cos.f64 (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) 1/3)))) 2) (pow.f64 (.f64 b (.f64 1/180 (.f64 angle (PI.f64)))) 2))
	28.6b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (-.f64 (+.f64 1 (.f64 1/180 (.f64 angle (.f64 b (PI.f64))))) 1) 2))
	26.1b	(+.f64 (pow.f64 (.f64 a (cbrt.f64 (pow.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))) 3))) 2) (pow.f64 (.f64 b (.f64 1/180 (.f64 angle (PI.f64)))) 2))
	20.7b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 3)) b)) 5) (cbrt.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) b))))
	37.3b	(+.f64 (pow.f64 (.f64 a 1) 2) (exp.f64 (.f64 2 (log.f64 (.f64 (sin.f64 (.f64 (*.f64 (PI.f64) angle) 1/180)) b)))))
	34.9b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (-.f64 (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (PI.f64) angle) 1/180)))) (cos.f64 1)) (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (PI.f64) angle) 1/180)))) (sin.f64 1)))) 2))
	19.9b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (pow.f64 (cbrt.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) 3) 2))

Compiler

Compiled 5792 to 4730 computations (18.3% saved)

localize57.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))) b)
✓	0.2b	(pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))) b) 2)
✓	0.3b	(.f64 (PI.f64) (.f64 1/180 angle))
✓	23.6b	(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))

Compiler

Compiled 66 to 46 computations (30.3% saved)

series10.0ms (0.1%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	angle	@	0	(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
1.0ms	angle	@	0	(pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))) b) 2)
1.0ms	angle	@	0	(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))) b)
1.0ms	b	@	inf	(pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))) b) 2)
1.0ms	angle	@	-inf	(pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))) b) 2)

rewrite107.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

985×	`pow1_binary64`
905×	`add-log-exp_binary64`
905×	`log1p-expm1-u_binary64`
905×	`expm1-log1p-u_binary64`
110×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	47
1	226	47
2	2550	47

Stop Event

1×	node limit

Counts

4 → 70

Calls

Call 1

Inputs
(sin.f64 (.f64 (PI.f64) (.f64 1/180 angle)))
(.f64 (PI.f64) (.f64 1/180 angle))
(pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))) b) 2)
(.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))) b)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 2) (cbrt.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (sqrt.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 angle (.f64 (PI.f64) 1/180)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) 1/180)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) 1/180)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 1/180) angle) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 angle (.f64 (PI.f64) 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) 1/180)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (.f64 1/180 angle) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 1/180 angle) 3) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 angle (.f64 (PI.f64) 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 angle (.f64 (PI.f64) 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 angle (.f64 (PI.f64) 1/180))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) b) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 b (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 b (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) b) (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) b) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) (.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) b) 4)) (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) b) 2)) (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) b) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) b) 2)) (.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) b)) (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) b)) (.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) b)) (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) b) (sqrt.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) b))) (sqrt.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) b) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) b)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) b) b) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) b) (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) b) 2))) (cbrt.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) b) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) b) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) b))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) b) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) b) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) b))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 b) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 3) (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 b 3) (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) b)))))))

simplify200.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

644×	`unswap-sqr_binary64`
641×	`associate-+l+_binary64`
630×	`sqr-pow_binary64`
566×	`*-commutative_binary64`
557×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	88	1278
1	258	1278
2	923	1256
3	2317	1248
4	3911	1248
5	4181	1248
6	4346	1248
7	4540	1248
8	4786	1248
9	5140	1248
10	6440	1248
11	6978	1248
12	7629	1248

Stop Event

1×	node limit

Counts

142 → 100

Calls

Call 1

Inputs
(.f64 1/180 (.f64 angle (PI.f64)))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (.f64 1/180 (.f64 angle (PI.f64))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (+.f64 (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5))) (.f64 -1/30855889612800000000 (.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7))))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(+.f64 (.f64 1/32400 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))) (.f64 -1/3149280000 (.f64 (pow.f64 angle 4) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 4)))))
(+.f64 (.f64 (pow.f64 angle 6) (+.f64 (.f64 1/1224440064000000 (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 6))) (.f64 1/2040733440000000 (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 6))))) (+.f64 (.f64 1/32400 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))) (.f64 -1/3149280000 (.f64 (pow.f64 angle 4) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 4))))))
(+.f64 (.f64 (+.f64 (.f64 -1/2777030065152000000000 (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 8))) (.f64 -1/396718580736000000000 (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 8)))) (pow.f64 angle 8)) (+.f64 (.f64 (pow.f64 angle 6) (+.f64 (.f64 1/1224440064000000 (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 6))) (.f64 1/2040733440000000 (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 6))))) (+.f64 (.f64 1/32400 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))) (.f64 -1/3149280000 (.f64 (pow.f64 angle 4) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 4)))))))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 1/180 (.f64 angle (*.f64 b (PI.f64))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 b (pow.f64 (PI.f64) 3)))) (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))))
(+.f64 (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (.f64 b (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 b (pow.f64 (PI.f64) 3)))) (.f64 1/180 (.f64 angle (*.f64 b (PI.f64))))))
(+.f64 (.f64 -1/30855889612800000000 (.f64 (pow.f64 angle 7) (.f64 b (pow.f64 (PI.f64) 7)))) (+.f64 (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (.f64 b (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 b (pow.f64 (PI.f64) 3)))) (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))

Outputs
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (.f64 1/180 angle) (PI.f64))
(.f64 angle (.f64 1/180 (PI.f64)))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (.f64 1/180 (.f64 angle (PI.f64))))
(fma.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)) (.f64 (*.f64 1/180 angle) (PI.f64)))
(fma.f64 1/180 (.f64 angle (PI.f64)) (.f64 -1/34992000 (*.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))))
(fma.f64 1/180 (.f64 angle (PI.f64)) (.f64 (pow.f64 (PI.f64) 3) (*.f64 -1/34992000 (pow.f64 angle 3))))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))))
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(.f64 (.f64 1/180 angle) (*.f64 (PI.f64) b))
(.f64 1/180 (.f64 angle (*.f64 (PI.f64) b)))
(.f64 (PI.f64) (.f64 b (*.f64 1/180 angle)))
(+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 b (pow.f64 (PI.f64) 3)))) (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))))
(fma.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 (pow.f64 (PI.f64) 3) b)) (.f64 (.f64 1/180 angle) (*.f64 (PI.f64) b)))
(fma.f64 1/180 (.f64 angle (.f64 (PI.f64) b)) (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (*.f64 (pow.f64 (PI.f64) 3) b))))
(.f64 b (fma.f64 1/180 (.f64 angle (PI.f64)) (.f64 (pow.f64 (PI.f64) 3) (.f64 -1/34992000 (pow.f64 angle 3)))))
(.f64 (fma.f64 1/180 (.f64 angle (PI.f64)) (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)))) b)
(+.f64 (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (.f64 b (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 b (pow.f64 (PI.f64) 3)))) (.f64 1/180 (.f64 angle (*.f64 b (PI.f64))))))
(fma.f64 1/22674816000000 (.f64 (.f64 (pow.f64 angle 5) b) (pow.f64 (PI.f64) 5)) (fma.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 (pow.f64 (PI.f64) 3) b)) (.f64 (.f64 1/180 angle) (*.f64 (PI.f64) b))))
(fma.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (.f64 (pow.f64 (PI.f64) 5) b)) (fma.f64 1/180 (.f64 angle (.f64 (PI.f64) b)) (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (*.f64 (pow.f64 (PI.f64) 3) b)))))
(fma.f64 1/180 (.f64 angle (.f64 (PI.f64) b)) (.f64 b (fma.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 angle 5) (.f64 1/22674816000000 (pow.f64 (PI.f64) 5))))))
(.f64 b (fma.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)) (fma.f64 1/180 (.f64 angle (PI.f64)) (.f64 1/22674816000000 (*.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5))))))
(.f64 (fma.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)) (fma.f64 1/180 (.f64 angle (PI.f64)) (.f64 1/22674816000000 (*.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5))))) b)
(+.f64 (.f64 -1/30855889612800000000 (.f64 (pow.f64 angle 7) (.f64 b (pow.f64 (PI.f64) 7)))) (+.f64 (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (.f64 b (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 b (pow.f64 (PI.f64) 3)))) (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))))))
(fma.f64 -1/30855889612800000000 (.f64 (pow.f64 angle 7) (.f64 (pow.f64 (PI.f64) 7) b)) (fma.f64 1/22674816000000 (.f64 (.f64 (pow.f64 angle 5) b) (pow.f64 (PI.f64) 5)) (fma.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 (pow.f64 (PI.f64) 3) b)) (.f64 (.f64 1/180 angle) (*.f64 (PI.f64) b)))))
(fma.f64 -1/30855889612800000000 (.f64 (pow.f64 angle 7) (.f64 (pow.f64 (PI.f64) 7) b)) (fma.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (.f64 (pow.f64 (PI.f64) 5) b)) (fma.f64 1/180 (.f64 angle (.f64 (PI.f64) b)) (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (*.f64 (pow.f64 (PI.f64) 3) b))))))
(+.f64 (.f64 b (fma.f64 1/180 (.f64 angle (PI.f64)) (.f64 (pow.f64 (PI.f64) 3) (.f64 -1/34992000 (pow.f64 angle 3))))) (.f64 b (fma.f64 -1/30855889612800000000 (.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7)) (.f64 (pow.f64 angle 5) (.f64 1/22674816000000 (pow.f64 (PI.f64) 5))))))
(.f64 b (fma.f64 1/180 (.f64 angle (PI.f64)) (fma.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)) (fma.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)) (.f64 -1/30855889612800000000 (.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7)))))))
(.f64 (fma.f64 1/180 (.f64 angle (PI.f64)) (fma.f64 -1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)) (fma.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)) (.f64 -1/30855889612800000000 (.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7)))))) b)
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (sin.f64 (.f64 (*.f64 1/180 angle) (PI.f64))) b)
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) b)
(.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) b)
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (sin.f64 (.f64 (*.f64 1/180 angle) (PI.f64))) b)
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) b)
(.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) b)
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (sin.f64 (.f64 (*.f64 1/180 angle) (PI.f64))) b)
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) b)
(.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) b)
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (sin.f64 (.f64 (*.f64 1/180 angle) (PI.f64))) b)
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) b)
(.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) b)
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (sin.f64 (.f64 (*.f64 1/180 angle) (PI.f64))) b)
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) b)
(.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) b)
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (sin.f64 (.f64 (*.f64 1/180 angle) (PI.f64))) b)
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) b)
(.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) b)
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (sin.f64 (.f64 (*.f64 1/180 angle) (PI.f64))) b)
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) b)
(.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) b)
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (sin.f64 (.f64 (*.f64 1/180 angle) (PI.f64))) b)
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) b)
(.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) b)
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (sin.f64 (.f64 (*.f64 1/180 angle) (PI.f64))) b)
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) b)
(.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) b)
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (sin.f64 (.f64 (*.f64 1/180 angle) (PI.f64))) b)
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) b)
(.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) b)
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (sin.f64 (.f64 (*.f64 1/180 angle) (PI.f64))) b)
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) b)
(.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) b)
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (sin.f64 (.f64 (*.f64 1/180 angle) (PI.f64))) b)
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) b)
(.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) b)
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (sin.f64 (.f64 (*.f64 1/180 angle) (PI.f64))) b)
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) b)
(.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) b)
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (sin.f64 (.f64 (*.f64 1/180 angle) (PI.f64))) b)
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) b)
(.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) b)
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (sin.f64 (.f64 (*.f64 1/180 angle) (PI.f64))) b)
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) b)
(.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) b)
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (sin.f64 (.f64 (*.f64 1/180 angle) (PI.f64))) b)
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) b)
(.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) b)
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (sin.f64 (.f64 (*.f64 1/180 angle) (PI.f64))) b)
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) b)
(.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) b)
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (sin.f64 (.f64 (*.f64 1/180 angle) (PI.f64))) b)
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) b)
(.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) b)
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (sin.f64 (.f64 (*.f64 1/180 angle) (PI.f64))) b)
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) b)
(.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) b)
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (sin.f64 (.f64 (*.f64 1/180 angle) (PI.f64))) b)
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) b)
(.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) b)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2) 1/32400)
	0.2b	(*.f64 b (PI.f64))
	0.3b	(.f64 angle (.f64 b (PI.f64)))
✓	0.3b	(pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)

Compiler

Compiled 57 to 30 computations (47.4% saved)

series7.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	b	@	-inf	(.f64 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2) 1/32400)
1.0ms	angle	@	0	(pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)
1.0ms	angle	@	-inf	(pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)
1.0ms	b	@	-inf	(pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)
1.0ms	b	@	0	(pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)

rewrite59.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

895×	`pow1_binary64`
826×	`add-log-exp_binary64`
826×	`log1p-expm1-u_binary64`
826×	`expm1-log1p-u_binary64`
806×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	208	25
2	2343	25

Stop Event

1×	node limit

Counts

2 → 37

Calls

Call 1

Inputs
(pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)
(.f64 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2) 1/32400)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (*.f64 angle (*.f64 b (PI.f64))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 angle (*.f64 (*.f64 b (PI.f64)) (*.f64 angle (*.f64 b (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b (PI.f64)) (*.f64 angle (*.f64 angle (*.f64 b (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 angle (*.f64 b (PI.f64))) (*.f64 angle (*.f64 b (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 angle (*.f64 b (PI.f64))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 angle (*.f64 b (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 b (PI.f64)) 2) (*.f64 angle angle))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 angle angle) (pow.f64 (*.f64 b (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 angle (*.f64 b (PI.f64))) 4)) (pow.f64 (cbrt.f64 (*.f64 angle (*.f64 b (PI.f64)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 angle (*.f64 b (PI.f64)))) 2) (cbrt.f64 (pow.f64 (*.f64 angle (*.f64 b (PI.f64))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 angle (*.f64 b (PI.f64)))) 2) (*.f64 (cbrt.f64 (*.f64 angle (*.f64 b (PI.f64)))) (*.f64 angle (*.f64 b (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 angle (*.f64 b (PI.f64)))) (*.f64 (sqrt.f64 (*.f64 angle (*.f64 b (PI.f64)))) (*.f64 angle (*.f64 b (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 angle b) (*.f64 (PI.f64) (*.f64 angle (*.f64 b (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 angle (*.f64 b (PI.f64))) (sqrt.f64 (*.f64 angle (*.f64 b (PI.f64))))) (sqrt.f64 (*.f64 angle (*.f64 b (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 angle b) (*.f64 angle b)) (pow.f64 (PI.f64) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 angle b) 2) (pow.f64 (PI.f64) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 angle (*.f64 b (PI.f64))) angle) (*.f64 b (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 angle (*.f64 b (PI.f64))) (*.f64 b (PI.f64))) angle)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 angle (*.f64 b (PI.f64))) (pow.f64 (cbrt.f64 (*.f64 angle (*.f64 b (PI.f64)))) 2)) (cbrt.f64 (*.f64 angle (*.f64 b (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 angle (*.f64 b (PI.f64))) (*.f64 angle b)) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 angle (*.f64 b (PI.f64))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 angle (*.f64 b (PI.f64))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 angle (*.f64 b (PI.f64))) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 angle (*.f64 b (PI.f64))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 angle (*.f64 b (PI.f64))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 angle (*.f64 b (PI.f64))))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 angle (*.f64 b (PI.f64))) 2) 1/32400)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 angle (*.f64 b (PI.f64))) 2) 1/32400) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 angle (*.f64 b (PI.f64))) 2) 1/32400) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 angle (*.f64 b (PI.f64))) 2) 1/32400)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 angle (*.f64 b (PI.f64))) 1/180) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 angle (*.f64 b (PI.f64))) 4) 1/1049760000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/32400) (pow.f64 (*.f64 angle (*.f64 b (PI.f64))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 angle (*.f64 b (PI.f64))) 2) 1/32400) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (*.f64 angle (*.f64 b (PI.f64))) 2) 1/32400)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (*.f64 angle (*.f64 b (PI.f64))) 2) 1/32400)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (*.f64 angle (*.f64 b (PI.f64))) 2) 1/32400)))))))

simplify211.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

2874×	`associate-l_binary64`
654×	`sqr-pow_binary64`
561×	`unswap-sqr_binary64`
344×	`*-commutative_binary64`
336×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	888
1	30	888
2	89	888
3	452	888
4	834	888
5	1682	888
6	1762	888
7	1844	888
8	1938	888
9	2050	888
10	2202	888
11	2374	888
12	2574	888
13	2797	888
14	3048	888
15	3316	888
16	3612	888
17	3925	888
18	4266	888

Stop Event

1×	node limit

Counts

85 → 41

Calls

Call 1

Inputs
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))
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(.f64 (pow.f64 (PI.f64) 2) (.f64 b (.f64 b (.f64 angle (*.f64 angle 1/32400)))))
(.f64 (.f64 angle angle) (.f64 (.f64 b b) (*.f64 (pow.f64 (PI.f64) 2) 1/32400)))
(.f64 (.f64 angle angle) (.f64 b (.f64 (pow.f64 (PI.f64) 2) (*.f64 b 1/32400))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 (.f64 (.f64 angle angle) (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2))) 1/32400)
(.f64 (.f64 1/32400 (.f64 (.f64 angle b) (*.f64 angle b))) (pow.f64 (PI.f64) 2))
(.f64 (.f64 b b) (.f64 1/32400 (.f64 (*.f64 angle angle) (pow.f64 (PI.f64) 2))))
(.f64 (.f64 (.f64 b b) (pow.f64 (PI.f64) 2)) (.f64 angle (*.f64 angle 1/32400)))
(.f64 (pow.f64 (PI.f64) 2) (.f64 b (.f64 b (.f64 angle (*.f64 angle 1/32400)))))
(.f64 (.f64 angle angle) (.f64 (.f64 b b) (*.f64 (pow.f64 (PI.f64) 2) 1/32400)))
(.f64 (.f64 angle angle) (.f64 b (.f64 (pow.f64 (PI.f64) 2) (*.f64 b 1/32400))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 (.f64 (.f64 angle angle) (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2))) 1/32400)
(.f64 (.f64 1/32400 (.f64 (.f64 angle b) (*.f64 angle b))) (pow.f64 (PI.f64) 2))
(.f64 (.f64 b b) (.f64 1/32400 (.f64 (*.f64 angle angle) (pow.f64 (PI.f64) 2))))
(.f64 (.f64 (.f64 b b) (pow.f64 (PI.f64) 2)) (.f64 angle (*.f64 angle 1/32400)))
(.f64 (pow.f64 (PI.f64) 2) (.f64 b (.f64 b (.f64 angle (*.f64 angle 1/32400)))))
(.f64 (.f64 angle angle) (.f64 (.f64 b b) (*.f64 (pow.f64 (PI.f64) 2) 1/32400)))
(.f64 (.f64 angle angle) (.f64 b (.f64 (pow.f64 (PI.f64) 2) (*.f64 b 1/32400))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 (.f64 (.f64 angle angle) (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2))) 1/32400)
(.f64 (.f64 1/32400 (.f64 (.f64 angle b) (*.f64 angle b))) (pow.f64 (PI.f64) 2))
(.f64 (.f64 b b) (.f64 1/32400 (.f64 (*.f64 angle angle) (pow.f64 (PI.f64) 2))))
(.f64 (.f64 (.f64 b b) (pow.f64 (PI.f64) 2)) (.f64 angle (*.f64 angle 1/32400)))
(.f64 (pow.f64 (PI.f64) 2) (.f64 b (.f64 b (.f64 angle (*.f64 angle 1/32400)))))
(.f64 (.f64 angle angle) (.f64 (.f64 b b) (*.f64 (pow.f64 (PI.f64) 2) 1/32400)))
(.f64 (.f64 angle angle) (.f64 b (.f64 (pow.f64 (PI.f64) 2) (*.f64 b 1/32400))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 (.f64 (.f64 angle angle) (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2))) 1/32400)
(.f64 (.f64 1/32400 (.f64 (.f64 angle b) (*.f64 angle b))) (pow.f64 (PI.f64) 2))
(.f64 (.f64 b b) (.f64 1/32400 (.f64 (*.f64 angle angle) (pow.f64 (PI.f64) 2))))
(.f64 (.f64 (.f64 b b) (pow.f64 (PI.f64) 2)) (.f64 angle (*.f64 angle 1/32400)))
(.f64 (pow.f64 (PI.f64) 2) (.f64 b (.f64 b (.f64 angle (*.f64 angle 1/32400)))))
(.f64 (.f64 angle angle) (.f64 (.f64 b b) (*.f64 (pow.f64 (PI.f64) 2) 1/32400)))
(.f64 (.f64 angle angle) (.f64 b (.f64 (pow.f64 (PI.f64) 2) (*.f64 b 1/32400))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 (.f64 (.f64 angle angle) (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2))) 1/32400)
(.f64 (.f64 1/32400 (.f64 (.f64 angle b) (*.f64 angle b))) (pow.f64 (PI.f64) 2))
(.f64 (.f64 b b) (.f64 1/32400 (.f64 (*.f64 angle angle) (pow.f64 (PI.f64) 2))))
(.f64 (.f64 (.f64 b b) (pow.f64 (PI.f64) 2)) (.f64 angle (*.f64 angle 1/32400)))
(.f64 (pow.f64 (PI.f64) 2) (.f64 b (.f64 b (.f64 angle (*.f64 angle 1/32400)))))
(.f64 (.f64 angle angle) (.f64 (.f64 b b) (*.f64 (pow.f64 (PI.f64) 2) 1/32400)))
(.f64 (.f64 angle angle) (.f64 b (.f64 (pow.f64 (PI.f64) 2) (*.f64 b 1/32400))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 (.f64 (.f64 angle angle) (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2))) 1/32400)
(.f64 (.f64 1/32400 (.f64 (.f64 angle b) (*.f64 angle b))) (pow.f64 (PI.f64) 2))
(.f64 (.f64 b b) (.f64 1/32400 (.f64 (*.f64 angle angle) (pow.f64 (PI.f64) 2))))
(.f64 (.f64 (.f64 b b) (pow.f64 (PI.f64) 2)) (.f64 angle (*.f64 angle 1/32400)))
(.f64 (pow.f64 (PI.f64) 2) (.f64 b (.f64 b (.f64 angle (*.f64 angle 1/32400)))))
(.f64 (.f64 angle angle) (.f64 (.f64 b b) (*.f64 (pow.f64 (PI.f64) 2) 1/32400)))
(.f64 (.f64 angle angle) (.f64 b (.f64 (pow.f64 (PI.f64) 2) (*.f64 b 1/32400))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 (.f64 (.f64 angle angle) (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2))) 1/32400)
(.f64 (.f64 1/32400 (.f64 (.f64 angle b) (*.f64 angle b))) (pow.f64 (PI.f64) 2))
(.f64 (.f64 b b) (.f64 1/32400 (.f64 (*.f64 angle angle) (pow.f64 (PI.f64) 2))))
(.f64 (.f64 (.f64 b b) (pow.f64 (PI.f64) 2)) (.f64 angle (*.f64 angle 1/32400)))
(.f64 (pow.f64 (PI.f64) 2) (.f64 b (.f64 b (.f64 angle (*.f64 angle 1/32400)))))
(.f64 (.f64 angle angle) (.f64 (.f64 b b) (*.f64 (pow.f64 (PI.f64) 2) 1/32400)))
(.f64 (.f64 angle angle) (.f64 b (.f64 (pow.f64 (PI.f64) 2) (*.f64 b 1/32400))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 (.f64 (.f64 angle angle) (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2))) 1/32400)
(.f64 (.f64 1/32400 (.f64 (.f64 angle b) (*.f64 angle b))) (pow.f64 (PI.f64) 2))
(.f64 (.f64 b b) (.f64 1/32400 (.f64 (*.f64 angle angle) (pow.f64 (PI.f64) 2))))
(.f64 (.f64 (.f64 b b) (pow.f64 (PI.f64) 2)) (.f64 angle (*.f64 angle 1/32400)))
(.f64 (pow.f64 (PI.f64) 2) (.f64 b (.f64 b (.f64 angle (*.f64 angle 1/32400)))))
(.f64 (.f64 angle angle) (.f64 (.f64 b b) (*.f64 (pow.f64 (PI.f64) 2) 1/32400)))
(.f64 (.f64 angle angle) (.f64 b (.f64 (pow.f64 (PI.f64) 2) (*.f64 b 1/32400))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 (.f64 (.f64 angle angle) (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2))) 1/32400)
(.f64 (.f64 1/32400 (.f64 (.f64 angle b) (*.f64 angle b))) (pow.f64 (PI.f64) 2))
(.f64 (.f64 b b) (.f64 1/32400 (.f64 (*.f64 angle angle) (pow.f64 (PI.f64) 2))))
(.f64 (.f64 (.f64 b b) (pow.f64 (PI.f64) 2)) (.f64 angle (*.f64 angle 1/32400)))
(.f64 (pow.f64 (PI.f64) 2) (.f64 b (.f64 b (.f64 angle (*.f64 angle 1/32400)))))
(.f64 (.f64 angle angle) (.f64 (.f64 b b) (*.f64 (pow.f64 (PI.f64) 2) 1/32400)))
(.f64 (.f64 angle angle) (.f64 b (.f64 (pow.f64 (PI.f64) 2) (*.f64 b 1/32400))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 (.f64 (.f64 angle angle) (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2))) 1/32400)
(.f64 (.f64 1/32400 (.f64 (.f64 angle b) (*.f64 angle b))) (pow.f64 (PI.f64) 2))
(.f64 (.f64 b b) (.f64 1/32400 (.f64 (*.f64 angle angle) (pow.f64 (PI.f64) 2))))
(.f64 (.f64 (.f64 b b) (pow.f64 (PI.f64) 2)) (.f64 angle (*.f64 angle 1/32400)))
(.f64 (pow.f64 (PI.f64) 2) (.f64 b (.f64 b (.f64 angle (*.f64 angle 1/32400)))))
(.f64 (.f64 angle angle) (.f64 (.f64 b b) (*.f64 (pow.f64 (PI.f64) 2) 1/32400)))
(.f64 (.f64 angle angle) (.f64 b (.f64 (pow.f64 (PI.f64) 2) (*.f64 b 1/32400))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 (.f64 (.f64 angle angle) (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2))) 1/32400)
(.f64 (.f64 1/32400 (.f64 (.f64 angle b) (*.f64 angle b))) (pow.f64 (PI.f64) 2))
(.f64 (.f64 b b) (.f64 1/32400 (.f64 (*.f64 angle angle) (pow.f64 (PI.f64) 2))))
(.f64 (.f64 (.f64 b b) (pow.f64 (PI.f64) 2)) (.f64 angle (*.f64 angle 1/32400)))
(.f64 (pow.f64 (PI.f64) 2) (.f64 b (.f64 b (.f64 angle (*.f64 angle 1/32400)))))
(.f64 (.f64 angle angle) (.f64 (.f64 b b) (*.f64 (pow.f64 (PI.f64) 2) 1/32400)))
(.f64 (.f64 angle angle) (.f64 b (.f64 (pow.f64 (PI.f64) 2) (*.f64 b 1/32400))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 (.f64 (.f64 angle angle) (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2))) 1/32400)
(.f64 (.f64 1/32400 (.f64 (.f64 angle b) (*.f64 angle b))) (pow.f64 (PI.f64) 2))
(.f64 (.f64 b b) (.f64 1/32400 (.f64 (*.f64 angle angle) (pow.f64 (PI.f64) 2))))
(.f64 (.f64 (.f64 b b) (pow.f64 (PI.f64) 2)) (.f64 angle (*.f64 angle 1/32400)))
(.f64 (pow.f64 (PI.f64) 2) (.f64 b (.f64 b (.f64 angle (*.f64 angle 1/32400)))))
(.f64 (.f64 angle angle) (.f64 (.f64 b b) (*.f64 (pow.f64 (PI.f64) 2) 1/32400)))
(.f64 (.f64 angle angle) (.f64 b (.f64 (pow.f64 (PI.f64) 2) (*.f64 b 1/32400))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 (.f64 (.f64 angle angle) (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2))) 1/32400)
(.f64 (.f64 1/32400 (.f64 (.f64 angle b) (*.f64 angle b))) (pow.f64 (PI.f64) 2))
(.f64 (.f64 b b) (.f64 1/32400 (.f64 (*.f64 angle angle) (pow.f64 (PI.f64) 2))))
(.f64 (.f64 (.f64 b b) (pow.f64 (PI.f64) 2)) (.f64 angle (*.f64 angle 1/32400)))
(.f64 (pow.f64 (PI.f64) 2) (.f64 b (.f64 b (.f64 angle (*.f64 angle 1/32400)))))
(.f64 (.f64 angle angle) (.f64 (.f64 b b) (*.f64 (pow.f64 (PI.f64) 2) 1/32400)))
(.f64 (.f64 angle angle) (.f64 b (.f64 (pow.f64 (PI.f64) 2) (*.f64 b 1/32400))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 (.f64 (.f64 angle angle) (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2))) 1/32400)
(.f64 (.f64 1/32400 (.f64 (.f64 angle b) (*.f64 angle b))) (pow.f64 (PI.f64) 2))
(.f64 (.f64 b b) (.f64 1/32400 (.f64 (*.f64 angle angle) (pow.f64 (PI.f64) 2))))
(.f64 (.f64 (.f64 b b) (pow.f64 (PI.f64) 2)) (.f64 angle (*.f64 angle 1/32400)))
(.f64 (pow.f64 (PI.f64) 2) (.f64 b (.f64 b (.f64 angle (*.f64 angle 1/32400)))))
(.f64 (.f64 angle angle) (.f64 (.f64 b b) (*.f64 (pow.f64 (PI.f64) 2) 1/32400)))
(.f64 (.f64 angle angle) (.f64 b (.f64 (pow.f64 (PI.f64) 2) (*.f64 b 1/32400))))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 (.f64 (.f64 angle angle) (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2))) 1/32400)
(.f64 (.f64 1/32400 (.f64 (.f64 angle b) (*.f64 angle b))) (pow.f64 (PI.f64) 2))
(.f64 (.f64 b b) (.f64 1/32400 (.f64 (*.f64 angle angle) (pow.f64 (PI.f64) 2))))
(.f64 (.f64 (.f64 b b) (pow.f64 (PI.f64) 2)) (.f64 angle (*.f64 angle 1/32400)))
(.f64 (pow.f64 (PI.f64) 2) (.f64 b (.f64 b (.f64 angle (*.f64 angle 1/32400)))))
(.f64 (.f64 angle angle) (.f64 (.f64 b b) (*.f64 (pow.f64 (PI.f64) 2) 1/32400)))
(.f64 (.f64 angle angle) (.f64 b (.f64 (pow.f64 (PI.f64) 2) (*.f64 b 1/32400))))

localize38.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (PI.f64) angle)
	0.3b	(.f64 (.f64 (PI.f64) angle) 1/180)
✓	1.2b	(.f64 (.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) b) (sin.f64 (.f64 (*.f64 (PI.f64) angle) 1/180))) b)
	23.8b	(sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180))

Compiler

Compiled 95 to 54 computations (43.2% saved)

series7.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	b	@	inf	(.f64 (.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) b) (sin.f64 (.f64 (*.f64 (PI.f64) angle) 1/180))) b)
1.0ms	angle	@	0	(.f64 (.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) b) (sin.f64 (.f64 (*.f64 (PI.f64) angle) 1/180))) b)
1.0ms	angle	@	inf	(.f64 (.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) b) (sin.f64 (.f64 (*.f64 (PI.f64) angle) 1/180))) b)
1.0ms	angle	@	-inf	(.f64 (.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) b) (sin.f64 (.f64 (*.f64 (PI.f64) angle) 1/180))) b)
1.0ms	b	@	0	(.f64 (.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) b) (sin.f64 (.f64 (*.f64 (PI.f64) angle) 1/180))) b)

rewrite59.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

579×	`log-prod_binary64`
414×	`exp-prod_binary64`
383×	`pow-prod-down_binary64`
289×	`prod-diff_binary64`
282×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	221	16
2	2599	16

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

Inputs
(.f64 (.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) b) (sin.f64 (.f64 (*.f64 (PI.f64) angle) 1/180))) b)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b) 3) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (*.f64 2 (log.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 2 (log.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b)))) 2)) (cbrt.f64 (*.f64 2 (log.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 2 (log.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b))))) (sqrt.f64 (*.f64 2 (log.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b)) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) b))) 1) 1))))))

simplify172.0ms (1%)

Algorithm

1×	egg-herbie

Rules

640×	`unswap-sqr_binary64`
512×	`associate-l_binary64`
472×	`distribute-rgt-out_binary64`
450×	`associate-r_binary64`
400×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	580
1	136	580
2	477	566
3	2821	556
4	6456	556
5	6670	556
6	6889	556
7	7130	556
8	7419	556
9	7782	556

Stop Event

1×	node limit

Counts

52 → 38

Calls

Call 1

Inputs
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(+.f64 (.f64 1/32400 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))) (.f64 -1/3149280000 (.f64 (pow.f64 angle 4) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 4)))))
(+.f64 (.f64 (pow.f64 angle 6) (.f64 (pow.f64 b 2) (+.f64 (.f64 1/2040733440000000 (pow.f64 (PI.f64) 6)) (.f64 1/1224440064000000 (pow.f64 (PI.f64) 6))))) (+.f64 (.f64 1/32400 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))) (.f64 -1/3149280000 (.f64 (pow.f64 angle 4) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 4))))))
(+.f64 (.f64 (pow.f64 angle 6) (.f64 (pow.f64 b 2) (+.f64 (.f64 1/2040733440000000 (pow.f64 (PI.f64) 6)) (.f64 1/1224440064000000 (pow.f64 (PI.f64) 6))))) (+.f64 (.f64 (pow.f64 angle 8) (.f64 (+.f64 (.f64 -1/2777030065152000000000 (pow.f64 (PI.f64) 8)) (.f64 -1/396718580736000000000 (pow.f64 (PI.f64) 8))) (pow.f64 b 2))) (+.f64 (.f64 1/32400 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))) (.f64 -1/3149280000 (.f64 (pow.f64 angle 4) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 4)))))))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))

Outputs
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (.f64 angle angle) (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2))))
(.f64 1/32400 (.f64 (.f64 b b) (.f64 (pow.f64 (PI.f64) 2) (*.f64 angle angle))))
(.f64 1/32400 (.f64 (.f64 b b) (.f64 (*.f64 angle angle) (pow.f64 (PI.f64) 2))))
(+.f64 (.f64 1/32400 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))) (.f64 -1/3149280000 (.f64 (pow.f64 angle 4) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 4)))))
(fma.f64 1/32400 (.f64 (.f64 angle angle) (.f64 (.f64 b b) (pow.f64 (PI.f64) 2))) (.f64 -1/3149280000 (.f64 (pow.f64 angle 4) (.f64 (.f64 b b) (pow.f64 (PI.f64) 4)))))
(fma.f64 1/32400 (.f64 (.f64 b b) (.f64 (pow.f64 (PI.f64) 2) (.f64 angle angle))) (.f64 -1/3149280000 (.f64 (pow.f64 (PI.f64) 4) (.f64 (.f64 b b) (pow.f64 angle 4)))))
(.f64 (.f64 b b) (+.f64 (.f64 1/32400 (.f64 (.f64 angle angle) (pow.f64 (PI.f64) 2))) (.f64 (pow.f64 angle 4) (*.f64 -1/3149280000 (pow.f64 (PI.f64) 4)))))
(.f64 b (.f64 b (+.f64 (.f64 1/32400 (.f64 (.f64 angle angle) (pow.f64 (PI.f64) 2))) (.f64 (pow.f64 angle 4) (*.f64 -1/3149280000 (pow.f64 (PI.f64) 4))))))
(+.f64 (.f64 (pow.f64 angle 6) (.f64 (pow.f64 b 2) (+.f64 (.f64 1/2040733440000000 (pow.f64 (PI.f64) 6)) (.f64 1/1224440064000000 (pow.f64 (PI.f64) 6))))) (+.f64 (.f64 1/32400 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))) (.f64 -1/3149280000 (.f64 (pow.f64 angle 4) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 4))))))
(fma.f64 (pow.f64 angle 6) (.f64 (.f64 b b) (.f64 (pow.f64 (PI.f64) 6) 1/765275040000000)) (fma.f64 1/32400 (.f64 (.f64 angle angle) (.f64 (.f64 b b) (pow.f64 (PI.f64) 2))) (.f64 -1/3149280000 (.f64 (pow.f64 angle 4) (.f64 (*.f64 b b) (pow.f64 (PI.f64) 4))))))
(fma.f64 (pow.f64 angle 6) (.f64 b (.f64 b (.f64 (pow.f64 (PI.f64) 6) 1/765275040000000))) (fma.f64 1/32400 (.f64 (.f64 b b) (.f64 (pow.f64 (PI.f64) 2) (.f64 angle angle))) (.f64 -1/3149280000 (.f64 (pow.f64 (PI.f64) 4) (.f64 (*.f64 b b) (pow.f64 angle 4))))))
(fma.f64 1/32400 (.f64 (.f64 angle angle) (.f64 (.f64 b b) (pow.f64 (PI.f64) 2))) (.f64 (.f64 b b) (+.f64 (.f64 (pow.f64 angle 6) (.f64 (pow.f64 (PI.f64) 6) 1/765275040000000)) (.f64 (pow.f64 angle 4) (.f64 -1/3149280000 (pow.f64 (PI.f64) 4))))))
(.f64 (.f64 b b) (+.f64 (.f64 (pow.f64 angle 4) (.f64 -1/3149280000 (pow.f64 (PI.f64) 4))) (+.f64 (.f64 (pow.f64 (PI.f64) 6) (.f64 1/765275040000000 (pow.f64 angle 6))) (.f64 1/32400 (.f64 (*.f64 angle angle) (pow.f64 (PI.f64) 2))))))
(+.f64 (.f64 (pow.f64 angle 6) (.f64 (pow.f64 b 2) (+.f64 (.f64 1/2040733440000000 (pow.f64 (PI.f64) 6)) (.f64 1/1224440064000000 (pow.f64 (PI.f64) 6))))) (+.f64 (.f64 (pow.f64 angle 8) (.f64 (+.f64 (.f64 -1/2777030065152000000000 (pow.f64 (PI.f64) 8)) (.f64 -1/396718580736000000000 (pow.f64 (PI.f64) 8))) (pow.f64 b 2))) (+.f64 (.f64 1/32400 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))) (.f64 -1/3149280000 (.f64 (pow.f64 angle 4) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 4)))))))
(fma.f64 (pow.f64 angle 6) (.f64 (.f64 b b) (.f64 (pow.f64 (PI.f64) 6) 1/765275040000000)) (fma.f64 (pow.f64 angle 8) (.f64 (.f64 b b) (.f64 (pow.f64 (PI.f64) 8) -1/347128758144000000000)) (fma.f64 1/32400 (.f64 (.f64 angle angle) (.f64 (.f64 b b) (pow.f64 (PI.f64) 2))) (.f64 -1/3149280000 (.f64 (pow.f64 angle 4) (.f64 (.f64 b b) (pow.f64 (PI.f64) 4)))))))
(fma.f64 (pow.f64 angle 6) (.f64 b (.f64 b (.f64 (pow.f64 (PI.f64) 6) 1/765275040000000))) (fma.f64 (pow.f64 angle 8) (.f64 b (.f64 b (.f64 (pow.f64 (PI.f64) 8) -1/347128758144000000000))) (fma.f64 1/32400 (.f64 (.f64 b b) (.f64 (pow.f64 (PI.f64) 2) (.f64 angle angle))) (.f64 -1/3149280000 (.f64 (pow.f64 (PI.f64) 4) (.f64 (.f64 b b) (pow.f64 angle 4)))))))
(+.f64 (.f64 (.f64 b b) (+.f64 (.f64 1/32400 (.f64 (.f64 angle angle) (pow.f64 (PI.f64) 2))) (.f64 (pow.f64 angle 4) (.f64 -1/3149280000 (pow.f64 (PI.f64) 4))))) (.f64 (.f64 b b) (+.f64 (.f64 (pow.f64 angle 6) (.f64 (pow.f64 (PI.f64) 6) 1/765275040000000)) (.f64 (pow.f64 angle 8) (*.f64 (pow.f64 (PI.f64) 8) -1/347128758144000000000)))))
(.f64 (.f64 b b) (+.f64 (+.f64 (.f64 1/32400 (.f64 (.f64 angle angle) (pow.f64 (PI.f64) 2))) (.f64 (pow.f64 angle 4) (.f64 -1/3149280000 (pow.f64 (PI.f64) 4)))) (+.f64 (.f64 (pow.f64 (PI.f64) 8) (.f64 -1/347128758144000000000 (pow.f64 angle 8))) (.f64 (pow.f64 (PI.f64) 6) (*.f64 1/765275040000000 (pow.f64 angle 6))))))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(.f64 b (.f64 b (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(.f64 b (.f64 b (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(.f64 b (.f64 b (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(.f64 b (.f64 b (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(.f64 b (.f64 b (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(.f64 b (.f64 b (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(.f64 b (.f64 b (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(.f64 b (.f64 b (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(.f64 b (.f64 b (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(.f64 b (.f64 b (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(.f64 b (.f64 b (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(.f64 b (.f64 b (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(.f64 b (.f64 b (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(.f64 b (.f64 b (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(.f64 b (.f64 b (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(.f64 b (.f64 b (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(.f64 b (.f64 b (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(.f64 b (.f64 b (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(.f64 b (.f64 b (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(.f64 b (.f64 b (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2))

localize50.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(cbrt.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180)))
	0.3b	(.f64 (.f64 (PI.f64) angle) 1/180)
	0.3b	(pow.f64 (cbrt.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) 3)
	24.2b	(cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180))

Compiler

Compiled 111 to 70 computations (36.9% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	angle	@	0	(cbrt.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180)))
0.0ms	angle	@	inf	(cbrt.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180)))
0.0ms	angle	@	-inf	(cbrt.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180)))

rewrite50.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

719×	`pow1_binary64`
664×	`add-log-exp_binary64`
664×	`log1p-expm1-u_binary64`
664×	`expm1-log1p-u_binary64`
649×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	158	12
2	1808	12

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

Inputs
(cbrt.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 1/6) (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 1/3) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))))))))))

simplify63.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

517×	`cancel-sign-sub-inv_binary64`
396×	`distribute-rgt-in_binary64`
367×	`distribute-lft-in_binary64`
310×	`associate-+l+_binary64`
289×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	242
1	136	213
2	425	197
3	2266	187
4	7438	187

Stop Event

1×	node limit

Counts

30 → 27

Calls

Call 1

Inputs
1
(+.f64 (.f64 -1/194400 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))) 1)
(+.f64 (.f64 -1/194400 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (.f64 1/3 (.f64 (pow.f64 angle 4) (-.f64 (.f64 1/25194240000 (pow.f64 (PI.f64) 4)) (.f64 1/12597120000 (pow.f64 (PI.f64) 4)))))))
(+.f64 (.f64 -1/194400 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 1/3 (.f64 (pow.f64 angle 6) (-.f64 (.f64 -1/24488801280000000 (pow.f64 (PI.f64) 6)) (+.f64 (.f64 -1/7346640384000000 (pow.f64 (PI.f64) 6)) (+.f64 (.f64 -1/194400 (.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/25194240000 (pow.f64 (PI.f64) 4)) (.f64 1/12597120000 (pow.f64 (PI.f64) 4))))) (.f64 -1/194400 (.f64 (-.f64 (.f64 1/25194240000 (pow.f64 (PI.f64) 4)) (.f64 1/12597120000 (pow.f64 (PI.f64) 4))) (pow.f64 (PI.f64) 2)))))))) (+.f64 1 (.f64 1/3 (.f64 (pow.f64 angle 4) (-.f64 (.f64 1/25194240000 (pow.f64 (PI.f64) 4)) (.f64 1/12597120000 (pow.f64 (PI.f64) 4))))))))
(pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 1/3)
(pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 1/3)
(pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 1/3)
(pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 1/3)
(pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 1/3)
(pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 1/3)
(pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 1/3)
(pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 1/3)

Outputs
1
(+.f64 (.f64 -1/194400 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))) 1)
(fma.f64 -1/194400 (.f64 (.f64 angle angle) (pow.f64 (PI.f64) 2)) 1)
(+.f64 (.f64 -1/194400 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (.f64 1/3 (.f64 (pow.f64 angle 4) (-.f64 (.f64 1/25194240000 (pow.f64 (PI.f64) 4)) (.f64 1/12597120000 (pow.f64 (PI.f64) 4)))))))
(+.f64 (fma.f64 -1/194400 (.f64 (.f64 angle angle) (pow.f64 (PI.f64) 2)) 1) (.f64 1/3 (.f64 (pow.f64 angle 4) (*.f64 (pow.f64 (PI.f64) 4) -1/25194240000))))
(fma.f64 -1/194400 (.f64 (.f64 angle angle) (pow.f64 (PI.f64) 2)) (fma.f64 1/3 (.f64 (pow.f64 angle 4) (.f64 (pow.f64 (PI.f64) 4) -1/25194240000)) 1))
(fma.f64 (pow.f64 angle 4) (.f64 (pow.f64 (PI.f64) 4) -1/75582720000) (fma.f64 -1/194400 (.f64 (*.f64 angle angle) (pow.f64 (PI.f64) 2)) 1))
(fma.f64 -1/194400 (.f64 (.f64 angle angle) (pow.f64 (PI.f64) 2)) (fma.f64 (pow.f64 angle 4) (*.f64 (pow.f64 (PI.f64) 4) -1/75582720000) 1))
(+.f64 (.f64 -1/194400 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 1/3 (.f64 (pow.f64 angle 6) (-.f64 (.f64 -1/24488801280000000 (pow.f64 (PI.f64) 6)) (+.f64 (.f64 -1/7346640384000000 (pow.f64 (PI.f64) 6)) (+.f64 (.f64 -1/194400 (.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/25194240000 (pow.f64 (PI.f64) 4)) (.f64 1/12597120000 (pow.f64 (PI.f64) 4))))) (.f64 -1/194400 (.f64 (-.f64 (.f64 1/25194240000 (pow.f64 (PI.f64) 4)) (.f64 1/12597120000 (pow.f64 (PI.f64) 4))) (pow.f64 (PI.f64) 2)))))))) (+.f64 1 (.f64 1/3 (.f64 (pow.f64 angle 4) (-.f64 (.f64 1/25194240000 (pow.f64 (PI.f64) 4)) (.f64 1/12597120000 (pow.f64 (PI.f64) 4))))))))
(fma.f64 -1/194400 (.f64 (.f64 angle angle) (pow.f64 (PI.f64) 2)) (fma.f64 1/3 (.f64 (pow.f64 angle 6) (-.f64 (.f64 -1/24488801280000000 (pow.f64 (PI.f64) 6)) (fma.f64 -1/7346640384000000 (pow.f64 (PI.f64) 6) (.f64 -1/194400 (+.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 4) -1/25194240000)) (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 4) -1/25194240000))))))) (+.f64 1 (.f64 1/3 (.f64 (pow.f64 angle 4) (.f64 (pow.f64 (PI.f64) 4) -1/25194240000))))))
(fma.f64 -1/194400 (.f64 (.f64 angle angle) (pow.f64 (PI.f64) 2)) (fma.f64 1/3 (.f64 (pow.f64 angle 6) (-.f64 (.f64 (pow.f64 (PI.f64) 6) 7/73466403840000000) (.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 4) -1/25194240000)) -1/97200))) (fma.f64 1/3 (.f64 (pow.f64 angle 4) (*.f64 (pow.f64 (PI.f64) 4) -1/25194240000)) 1)))
(fma.f64 -1/194400 (.f64 (.f64 angle angle) (pow.f64 (PI.f64) 2)) (fma.f64 (pow.f64 angle 4) (.f64 (pow.f64 (PI.f64) 4) -1/75582720000) (fma.f64 (pow.f64 angle 6) (.f64 1/3 (-.f64 (.f64 (pow.f64 (PI.f64) 6) 7/73466403840000000) (.f64 (pow.f64 (PI.f64) 6) 1/2448880128000000))) 1)))
(fma.f64 -1/194400 (.f64 (.f64 angle angle) (pow.f64 (PI.f64) 2)) (fma.f64 1/3 (.f64 (pow.f64 angle 6) (.f64 (pow.f64 (PI.f64) 6) -23/73466403840000000)) (fma.f64 (pow.f64 angle 4) (*.f64 (pow.f64 (PI.f64) 4) -1/75582720000) 1)))
(pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 1/3)
(cbrt.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))))
(cbrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))
(cbrt.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))))
(pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 1/3)
(cbrt.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))))
(cbrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))
(cbrt.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))))
(pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 1/3)
(cbrt.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))))
(cbrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))
(cbrt.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))))
(pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 1/3)
(cbrt.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))))
(cbrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))
(cbrt.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))))
(pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 1/3)
(cbrt.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))))
(cbrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))
(cbrt.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))))
(pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 1/3)
(cbrt.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))))
(cbrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))
(cbrt.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))))
(pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 1/3)
(cbrt.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))))
(cbrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))
(cbrt.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))))
(pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 1/3)
(cbrt.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))))
(cbrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))
(cbrt.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))))

localize83.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (PI.f64) (.f64 angle 1/180))
✓	0.3b	(pow.f64 (cos.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 3))) 3)
✓	24.3b	(cos.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 3)))
✓	40.0b	(cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 3))

Compiler

Compiled 145 to 103 computations (29% saved)

series36.0ms (0.2%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
14.0ms	angle	@	inf	(cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 3))
5.0ms	angle	@	0	(cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 3))
4.0ms	angle	@	inf	(pow.f64 (cos.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 3))) 3)
4.0ms	angle	@	-inf	(cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 3))
3.0ms	angle	@	0	(pow.f64 (cos.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 3))) 3)

rewrite92.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

911×	`pow1_binary64`
851×	`add-log-exp_binary64`
851×	`log1p-expm1-u_binary64`
851×	`expm1-log1p-u_binary64`
827×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	39
1	237	39
2	2435	39

Stop Event

1×	node limit

Counts

4 → 79

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 3))
(cos.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 3)))
(pow.f64 (cos.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 3))) 3)
(.f64 (PI.f64) (.f64 angle 1/180))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 (PI.f64) (.f64 angle 1/180))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (PI.f64) (.f64 angle 1/180))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 angle (.f64 1/180 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/180 (.f64 (PI.f64) angle))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 angle 1/180) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (PI.f64) (.f64 angle 1/180)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (PI.f64) (.f64 angle 1/180)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 angle 1/180)) 2) (.f64 (cbrt.f64 (.f64 angle 1/180)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 (cbrt.f64 (PI.f64)) (.f64 angle 1/180)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (pow.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 2)) (cbrt.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 angle 1/180)) (.f64 (sqrt.f64 (.f64 angle 1/180)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (.f64 angle 1/180)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (sqrt.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (PI.f64) angle) 1/180)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 2) 1/3) (cbrt.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (.f64 (PI.f64) (.f64 angle 1/180)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 3/2) 1/3) (pow.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (PI.f64) 1/180) angle)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 (.f64 angle 1/180)) 2)) (cbrt.f64 (.f64 angle 1/180)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (PI.f64) (sqrt.f64 (.f64 angle 1/180))) (sqrt.f64 (.f64 angle 1/180)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 angle 1/180) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 angle 1/180) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 angle) 1/180) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (pow.f64 (cbrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2) (cbrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (sqrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2) (.f64 (cbrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (.f64 (sqrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 3/2) (pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2) 3) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 3) (pow.f64 (sqrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) 1) (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) (pow.f64 (cbrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2)) (cbrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2) (sqrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (sqrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 3 (log.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 (PI.f64) (.f64 angle 1/180))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 angle) 1/180) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))))

simplify91.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

653×	`fma-def_binary64`
643×	`unswap-sqr_binary64`
562×	`distribute-rgt-in_binary64`
527×	`distribute-lft-in_binary64`
408×	`*-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	83	870
1	255	780
2	975	722
3	3109	722
4	5011	714
5	7996	714

Stop Event

1×	node limit

Counts

127 → 93

Calls

Call 1

Inputs
(.f64 (cbrt.f64 1/5832000) (.f64 angle (PI.f64)))
(.f64 (cbrt.f64 1/5832000) (.f64 angle (PI.f64)))
(.f64 (cbrt.f64 1/5832000) (.f64 angle (PI.f64)))
(.f64 (cbrt.f64 1/5832000) (.f64 angle (PI.f64)))
(.f64 (cbrt.f64 1/5832000) (.f64 angle (PI.f64)))
(.f64 (cbrt.f64 1/5832000) (.f64 angle (PI.f64)))
(.f64 (cbrt.f64 1/5832000) (.f64 angle (PI.f64)))
(.f64 (cbrt.f64 1/5832000) (.f64 angle (PI.f64)))
(.f64 -1 (.f64 angle (*.f64 (cbrt.f64 -1/5832000) (PI.f64))))
(.f64 -1 (.f64 angle (*.f64 (cbrt.f64 -1/5832000) (PI.f64))))
(.f64 -1 (.f64 angle (*.f64 (cbrt.f64 -1/5832000) (PI.f64))))
(.f64 -1 (.f64 angle (*.f64 (cbrt.f64 -1/5832000) (PI.f64))))
1
(+.f64 1 (.f64 -1/2 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 (cbrt.f64 1/5832000) 2) (pow.f64 (PI.f64) 2)))))
(+.f64 1 (+.f64 (.f64 -1/2 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 (cbrt.f64 1/5832000) 2) (pow.f64 (PI.f64) 2)))) (.f64 1/24 (.f64 (pow.f64 angle 4) (.f64 (pow.f64 (cbrt.f64 1/5832000) 4) (pow.f64 (PI.f64) 4))))))
(+.f64 1 (+.f64 (.f64 -1/2 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 (cbrt.f64 1/5832000) 2) (pow.f64 (PI.f64) 2)))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 angle 6) (.f64 (pow.f64 (cbrt.f64 1/5832000) 6) (pow.f64 (PI.f64) 6)))) (.f64 1/24 (.f64 (pow.f64 angle 4) (*.f64 (pow.f64 (cbrt.f64 1/5832000) 4) (pow.f64 (PI.f64) 4)))))))
(cos.f64 (.f64 (cbrt.f64 1/5832000) (.f64 angle (PI.f64))))
(cos.f64 (.f64 (cbrt.f64 1/5832000) (.f64 angle (PI.f64))))
(cos.f64 (.f64 (cbrt.f64 1/5832000) (.f64 angle (PI.f64))))
(cos.f64 (.f64 (cbrt.f64 1/5832000) (.f64 angle (PI.f64))))
(cos.f64 (.f64 -1 (.f64 angle (*.f64 (cbrt.f64 -1/5832000) (PI.f64)))))
(cos.f64 (.f64 -1 (.f64 angle (*.f64 (cbrt.f64 -1/5832000) (PI.f64)))))
(cos.f64 (.f64 -1 (.f64 angle (*.f64 (cbrt.f64 -1/5832000) (PI.f64)))))
(cos.f64 (.f64 -1 (.f64 angle (*.f64 (cbrt.f64 -1/5832000) (PI.f64)))))
1
(+.f64 1 (.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 (cbrt.f64 1/5832000) 2) (pow.f64 (PI.f64) 2))) (.f64 -1/2 (*.f64 (pow.f64 (cbrt.f64 1/5832000) 2) (pow.f64 (PI.f64) 2)))) (pow.f64 angle 2)))
(+.f64 1 (+.f64 (.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 (cbrt.f64 1/5832000) 2) (pow.f64 (PI.f64) 2))) (.f64 -1/2 (.f64 (pow.f64 (cbrt.f64 1/5832000) 2) (pow.f64 (PI.f64) 2)))) (pow.f64 angle 2)) (.f64 (pow.f64 angle 4) (+.f64 (.f64 1/2 (.f64 (pow.f64 (cbrt.f64 1/5832000) 4) (pow.f64 (PI.f64) 4))) (+.f64 (.f64 1/24 (.f64 (pow.f64 (cbrt.f64 1/5832000) 4) (pow.f64 (PI.f64) 4))) (+.f64 (.f64 1/4 (.f64 (pow.f64 (cbrt.f64 1/5832000) 4) (pow.f64 (PI.f64) 4))) (.f64 1/12 (.f64 (pow.f64 (cbrt.f64 1/5832000) 4) (pow.f64 (PI.f64) 4)))))))))
(+.f64 1 (+.f64 (.f64 (+.f64 (.f64 -1/12 (.f64 (pow.f64 (cbrt.f64 1/5832000) 6) (pow.f64 (PI.f64) 6))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 (cbrt.f64 1/5832000) 6) (pow.f64 (PI.f64) 6))) (+.f64 (.f64 -1/360 (.f64 (pow.f64 (cbrt.f64 1/5832000) 6) (pow.f64 (PI.f64) 6))) (.f64 -1/2 (.f64 (pow.f64 (cbrt.f64 1/5832000) 2) (.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 1/4 (.f64 (pow.f64 (cbrt.f64 1/5832000) 4) (pow.f64 (PI.f64) 4))) (.f64 1/12 (.f64 (pow.f64 (cbrt.f64 1/5832000) 4) (pow.f64 (PI.f64) 4)))))))))) (pow.f64 angle 6)) (+.f64 (.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 (cbrt.f64 1/5832000) 2) (pow.f64 (PI.f64) 2))) (.f64 -1/2 (.f64 (pow.f64 (cbrt.f64 1/5832000) 2) (pow.f64 (PI.f64) 2)))) (pow.f64 angle 2)) (.f64 (pow.f64 angle 4) (+.f64 (.f64 1/2 (.f64 (pow.f64 (cbrt.f64 1/5832000) 4) (pow.f64 (PI.f64) 4))) (+.f64 (.f64 1/24 (.f64 (pow.f64 (cbrt.f64 1/5832000) 4) (pow.f64 (PI.f64) 4))) (+.f64 (.f64 1/4 (.f64 (pow.f64 (cbrt.f64 1/5832000) 4) (pow.f64 (PI.f64) 4))) (.f64 1/12 (.f64 (pow.f64 (cbrt.f64 1/5832000) 4) (pow.f64 (PI.f64) 4))))))))))
(pow.f64 (cos.f64 (.f64 (cbrt.f64 1/5832000) (.f64 angle (PI.f64)))) 3)
(pow.f64 (cos.f64 (.f64 (cbrt.f64 1/5832000) (.f64 angle (PI.f64)))) 3)
(pow.f64 (cos.f64 (.f64 (cbrt.f64 1/5832000) (.f64 angle (PI.f64)))) 3)
(pow.f64 (cos.f64 (.f64 (cbrt.f64 1/5832000) (.f64 angle (PI.f64)))) 3)
(pow.f64 (cos.f64 (.f64 -1 (.f64 angle (*.f64 (cbrt.f64 -1/5832000) (PI.f64))))) 3)
(pow.f64 (cos.f64 (.f64 -1 (.f64 angle (*.f64 (cbrt.f64 -1/5832000) (PI.f64))))) 3)
(pow.f64 (cos.f64 (.f64 -1 (.f64 angle (*.f64 (cbrt.f64 -1/5832000) (PI.f64))))) 3)
(pow.f64 (cos.f64 (.f64 -1 (.f64 angle (*.f64 (cbrt.f64 -1/5832000) (PI.f64))))) 3)
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))

Outputs
(.f64 (cbrt.f64 1/5832000) (.f64 angle (PI.f64)))
(.f64 (cbrt.f64 1/5832000) (.f64 angle (PI.f64)))
(.f64 (cbrt.f64 1/5832000) (.f64 angle (PI.f64)))
(.f64 (cbrt.f64 1/5832000) (.f64 angle (PI.f64)))
(.f64 (cbrt.f64 1/5832000) (.f64 angle (PI.f64)))
(.f64 (cbrt.f64 1/5832000) (.f64 angle (PI.f64)))
(.f64 (cbrt.f64 1/5832000) (.f64 angle (PI.f64)))
(.f64 (cbrt.f64 1/5832000) (.f64 angle (PI.f64)))
(.f64 -1 (.f64 angle (*.f64 (cbrt.f64 -1/5832000) (PI.f64))))
(neg.f64 (.f64 (.f64 angle (cbrt.f64 -1/5832000)) (PI.f64)))
(.f64 angle (neg.f64 (.f64 (PI.f64) (cbrt.f64 -1/5832000))))
(.f64 angle (.f64 (PI.f64) (neg.f64 (cbrt.f64 -1/5832000))))
(.f64 -1 (.f64 angle (*.f64 (cbrt.f64 -1/5832000) (PI.f64))))
(neg.f64 (.f64 (.f64 angle (cbrt.f64 -1/5832000)) (PI.f64)))
(.f64 angle (neg.f64 (.f64 (PI.f64) (cbrt.f64 -1/5832000))))
(.f64 angle (.f64 (PI.f64) (neg.f64 (cbrt.f64 -1/5832000))))
(.f64 -1 (.f64 angle (*.f64 (cbrt.f64 -1/5832000) (PI.f64))))
(neg.f64 (.f64 (.f64 angle (cbrt.f64 -1/5832000)) (PI.f64)))
(.f64 angle (neg.f64 (.f64 (PI.f64) (cbrt.f64 -1/5832000))))
(.f64 angle (.f64 (PI.f64) (neg.f64 (cbrt.f64 -1/5832000))))
(.f64 -1 (.f64 angle (*.f64 (cbrt.f64 -1/5832000) (PI.f64))))
(neg.f64 (.f64 (.f64 angle (cbrt.f64 -1/5832000)) (PI.f64)))
(.f64 angle (neg.f64 (.f64 (PI.f64) (cbrt.f64 -1/5832000))))
(.f64 angle (.f64 (PI.f64) (neg.f64 (cbrt.f64 -1/5832000))))
1
(+.f64 1 (.f64 -1/2 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 (cbrt.f64 1/5832000) 2) (pow.f64 (PI.f64) 2)))))
(+.f64 1 (.f64 (.f64 -1/2 (.f64 angle angle)) (.f64 (pow.f64 (cbrt.f64 1/5832000) 2) (pow.f64 (PI.f64) 2))))
(fma.f64 -1/2 (.f64 (.f64 angle angle) (*.f64 (pow.f64 (cbrt.f64 1/5832000) 2) (pow.f64 (PI.f64) 2))) 1)
(fma.f64 -1/2 (.f64 angle (.f64 angle (*.f64 (pow.f64 (cbrt.f64 1/5832000) 2) (pow.f64 (PI.f64) 2)))) 1)
(fma.f64 (.f64 (pow.f64 (cbrt.f64 1/5832000) 2) (.f64 -1/2 (*.f64 angle angle))) (pow.f64 (PI.f64) 2) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 (cbrt.f64 1/5832000) 2) (pow.f64 (PI.f64) 2)))) (.f64 1/24 (.f64 (pow.f64 angle 4) (.f64 (pow.f64 (cbrt.f64 1/5832000) 4) (pow.f64 (PI.f64) 4))))))
(+.f64 1 (fma.f64 -1/2 (.f64 (.f64 angle angle) (.f64 (pow.f64 (cbrt.f64 1/5832000) 2) (pow.f64 (PI.f64) 2))) (.f64 (.f64 1/24 (pow.f64 angle 4)) (.f64 (pow.f64 (cbrt.f64 1/5832000) 4) (pow.f64 (PI.f64) 4)))))
(+.f64 1 (fma.f64 -1/2 (.f64 (.f64 angle angle) (.f64 (pow.f64 (cbrt.f64 1/5832000) 2) (pow.f64 (PI.f64) 2))) (.f64 (.f64 (.f64 1/24 (pow.f64 angle 4)) (pow.f64 (PI.f64) 4)) (*.f64 (cbrt.f64 1/5832000) 1/5832000))))
(fma.f64 (.f64 angle angle) (.f64 -1/2 (.f64 (pow.f64 (cbrt.f64 1/5832000) 2) (pow.f64 (PI.f64) 2))) (fma.f64 (.f64 (.f64 (cbrt.f64 1/5832000) 1/5832000) (pow.f64 (PI.f64) 4)) (.f64 1/24 (pow.f64 angle 4)) 1))
(+.f64 1 (+.f64 (.f64 -1/2 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 (cbrt.f64 1/5832000) 2) (pow.f64 (PI.f64) 2)))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 angle 6) (.f64 (pow.f64 (cbrt.f64 1/5832000) 6) (pow.f64 (PI.f64) 6)))) (.f64 1/24 (.f64 (pow.f64 angle 4) (*.f64 (pow.f64 (cbrt.f64 1/5832000) 4) (pow.f64 (PI.f64) 4)))))))
(+.f64 1 (fma.f64 -1/2 (.f64 (.f64 angle angle) (.f64 (pow.f64 (cbrt.f64 1/5832000) 2) (pow.f64 (PI.f64) 2))) (fma.f64 -1/720 (.f64 (pow.f64 angle 6) (.f64 (pow.f64 (cbrt.f64 1/5832000) 6) (pow.f64 (PI.f64) 6))) (.f64 (.f64 1/24 (pow.f64 angle 4)) (.f64 (pow.f64 (cbrt.f64 1/5832000) 4) (pow.f64 (PI.f64) 4))))))
(+.f64 1 (fma.f64 -1/2 (.f64 (.f64 angle angle) (.f64 (pow.f64 (cbrt.f64 1/5832000) 2) (pow.f64 (PI.f64) 2))) (fma.f64 1/24 (.f64 (pow.f64 angle 4) (.f64 (.f64 (cbrt.f64 1/5832000) 1/5832000) (pow.f64 (PI.f64) 4))) (.f64 (pow.f64 angle 6) (.f64 (pow.f64 (PI.f64) 6) -1/24488801280000000)))))
(+.f64 1 (fma.f64 (pow.f64 angle 6) (.f64 (pow.f64 (PI.f64) 6) -1/24488801280000000) (fma.f64 -1/2 (.f64 angle (.f64 angle (.f64 (pow.f64 (cbrt.f64 1/5832000) 2) (pow.f64 (PI.f64) 2)))) (.f64 (pow.f64 angle 4) (.f64 1/24 (.f64 (.f64 (cbrt.f64 1/5832000) 1/5832000) (pow.f64 (PI.f64) 4)))))))
(+.f64 1 (fma.f64 -1/2 (.f64 angle (.f64 angle (.f64 (pow.f64 (cbrt.f64 1/5832000) 2) (pow.f64 (PI.f64) 2)))) (fma.f64 1/24 (.f64 (pow.f64 angle 4) (.f64 (.f64 (cbrt.f64 1/5832000) 1/5832000) (pow.f64 (PI.f64) 4))) (.f64 (pow.f64 angle 6) (.f64 (pow.f64 (PI.f64) 6) -1/24488801280000000)))))
(+.f64 1 (fma.f64 (.f64 (.f64 (cbrt.f64 1/5832000) 1/5832000) (pow.f64 (PI.f64) 4)) (.f64 1/24 (pow.f64 angle 4)) (fma.f64 (.f64 (pow.f64 (cbrt.f64 1/5832000) 2) (pow.f64 (PI.f64) 2)) (.f64 angle (.f64 angle -1/2)) (.f64 (pow.f64 angle 6) (.f64 (pow.f64 (PI.f64) 6) -1/24488801280000000)))))
(cos.f64 (.f64 (cbrt.f64 1/5832000) (.f64 angle (PI.f64))))
(cos.f64 (.f64 (cbrt.f64 1/5832000) (.f64 angle (PI.f64))))
(cos.f64 (.f64 (cbrt.f64 1/5832000) (.f64 angle (PI.f64))))
(cos.f64 (.f64 (cbrt.f64 1/5832000) (.f64 angle (PI.f64))))
(cos.f64 (.f64 -1 (.f64 angle (*.f64 (cbrt.f64 -1/5832000) (PI.f64)))))
(cos.f64 (neg.f64 (.f64 (.f64 angle (cbrt.f64 -1/5832000)) (PI.f64))))
(cos.f64 (.f64 angle (.f64 (PI.f64) (cbrt.f64 -1/5832000))))
(cos.f64 (.f64 (PI.f64) (.f64 angle (cbrt.f64 -1/5832000))))
(cos.f64 (.f64 -1 (.f64 angle (*.f64 (cbrt.f64 -1/5832000) (PI.f64)))))
(cos.f64 (neg.f64 (.f64 (.f64 angle (cbrt.f64 -1/5832000)) (PI.f64))))
(cos.f64 (.f64 angle (.f64 (PI.f64) (cbrt.f64 -1/5832000))))
(cos.f64 (.f64 (PI.f64) (.f64 angle (cbrt.f64 -1/5832000))))
(cos.f64 (.f64 -1 (.f64 angle (*.f64 (cbrt.f64 -1/5832000) (PI.f64)))))
(cos.f64 (neg.f64 (.f64 (.f64 angle (cbrt.f64 -1/5832000)) (PI.f64))))
(cos.f64 (.f64 angle (.f64 (PI.f64) (cbrt.f64 -1/5832000))))
(cos.f64 (.f64 (PI.f64) (.f64 angle (cbrt.f64 -1/5832000))))
(cos.f64 (.f64 -1 (.f64 angle (*.f64 (cbrt.f64 -1/5832000) (PI.f64)))))
(cos.f64 (neg.f64 (.f64 (.f64 angle (cbrt.f64 -1/5832000)) (PI.f64))))
(cos.f64 (.f64 angle (.f64 (PI.f64) (cbrt.f64 -1/5832000))))
(cos.f64 (.f64 (PI.f64) (.f64 angle (cbrt.f64 -1/5832000))))
1
(+.f64 1 (.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 (cbrt.f64 1/5832000) 2) (pow.f64 (PI.f64) 2))) (.f64 -1/2 (*.f64 (pow.f64 (cbrt.f64 1/5832000) 2) (pow.f64 (PI.f64) 2)))) (pow.f64 angle 2)))
(+.f64 1 (.f64 (.f64 angle angle) (.f64 (.f64 (pow.f64 (cbrt.f64 1/5832000) 2) (pow.f64 (PI.f64) 2)) -3/2)))
(fma.f64 (.f64 angle angle) (.f64 (pow.f64 (cbrt.f64 1/5832000) 2) (*.f64 (pow.f64 (PI.f64) 2) -3/2)) 1)
(fma.f64 (.f64 (pow.f64 (cbrt.f64 1/5832000) 2) (pow.f64 (PI.f64) 2)) (.f64 (*.f64 angle angle) -3/2) 1)
(+.f64 1 (+.f64 (.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 (cbrt.f64 1/5832000) 2) (pow.f64 (PI.f64) 2))) (.f64 -1/2 (.f64 (pow.f64 (cbrt.f64 1/5832000) 2) (pow.f64 (PI.f64) 2)))) (pow.f64 angle 2)) (.f64 (pow.f64 angle 4) (+.f64 (.f64 1/2 (.f64 (pow.f64 (cbrt.f64 1/5832000) 4) (pow.f64 (PI.f64) 4))) (+.f64 (.f64 1/24 (.f64 (pow.f64 (cbrt.f64 1/5832000) 4) (pow.f64 (PI.f64) 4))) (+.f64 (.f64 1/4 (.f64 (pow.f64 (cbrt.f64 1/5832000) 4) (pow.f64 (PI.f64) 4))) (.f64 1/12 (.f64 (pow.f64 (cbrt.f64 1/5832000) 4) (pow.f64 (PI.f64) 4)))))))))
(+.f64 1 (fma.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 1/5832000) 2) (pow.f64 (PI.f64) 2)) -3/2) (.f64 angle angle) (.f64 (pow.f64 angle 4) (fma.f64 1/2 (.f64 (pow.f64 (cbrt.f64 1/5832000) 4) (pow.f64 (PI.f64) 4)) (fma.f64 1/24 (.f64 (pow.f64 (cbrt.f64 1/5832000) 4) (pow.f64 (PI.f64) 4)) (.f64 (.f64 (pow.f64 (cbrt.f64 1/5832000) 4) (pow.f64 (PI.f64) 4)) 1/3))))))
(+.f64 1 (fma.f64 (.f64 angle angle) (.f64 (pow.f64 (cbrt.f64 1/5832000) 2) (.f64 (pow.f64 (PI.f64) 2) -3/2)) (.f64 (pow.f64 angle 4) (fma.f64 (.f64 (.f64 (cbrt.f64 1/5832000) 1/5832000) (pow.f64 (PI.f64) 4)) 1/2 (.f64 (.f64 (*.f64 (cbrt.f64 1/5832000) 1/5832000) (pow.f64 (PI.f64) 4)) 3/8)))))
(fma.f64 angle (.f64 angle (.f64 (pow.f64 (cbrt.f64 1/5832000) 2) (.f64 (pow.f64 (PI.f64) 2) -3/2))) (fma.f64 (pow.f64 angle 4) (.f64 (.f64 (.f64 (cbrt.f64 1/5832000) 1/5832000) (pow.f64 (PI.f64) 4)) 7/8) 1))
(fma.f64 angle (.f64 angle (.f64 (pow.f64 (cbrt.f64 1/5832000) 2) (.f64 (pow.f64 (PI.f64) 2) -3/2))) (fma.f64 (pow.f64 angle 4) (.f64 (pow.f64 (PI.f64) 4) (.f64 (.f64 (cbrt.f64 1/5832000) 1/5832000) 7/8)) 1))
(fma.f64 angle (.f64 angle (.f64 (pow.f64 (cbrt.f64 1/5832000) 2) (.f64 (pow.f64 (PI.f64) 2) -3/2))) (fma.f64 (pow.f64 angle 4) (.f64 (.f64 (cbrt.f64 1/5832000) 1/5832000) (.f64 (pow.f64 (PI.f64) 4) 7/8)) 1))
(+.f64 1 (+.f64 (.f64 (+.f64 (.f64 -1/12 (.f64 (pow.f64 (cbrt.f64 1/5832000) 6) (pow.f64 (PI.f64) 6))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 (cbrt.f64 1/5832000) 6) (pow.f64 (PI.f64) 6))) (+.f64 (.f64 -1/360 (.f64 (pow.f64 (cbrt.f64 1/5832000) 6) (pow.f64 (PI.f64) 6))) (.f64 -1/2 (.f64 (pow.f64 (cbrt.f64 1/5832000) 2) (.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 1/4 (.f64 (pow.f64 (cbrt.f64 1/5832000) 4) (pow.f64 (PI.f64) 4))) (.f64 1/12 (.f64 (pow.f64 (cbrt.f64 1/5832000) 4) (pow.f64 (PI.f64) 4)))))))))) (pow.f64 angle 6)) (+.f64 (.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 (cbrt.f64 1/5832000) 2) (pow.f64 (PI.f64) 2))) (.f64 -1/2 (.f64 (pow.f64 (cbrt.f64 1/5832000) 2) (pow.f64 (PI.f64) 2)))) (pow.f64 angle 2)) (.f64 (pow.f64 angle 4) (+.f64 (.f64 1/2 (.f64 (pow.f64 (cbrt.f64 1/5832000) 4) (pow.f64 (PI.f64) 4))) (+.f64 (.f64 1/24 (.f64 (pow.f64 (cbrt.f64 1/5832000) 4) (pow.f64 (PI.f64) 4))) (+.f64 (.f64 1/4 (.f64 (pow.f64 (cbrt.f64 1/5832000) 4) (pow.f64 (PI.f64) 4))) (.f64 1/12 (.f64 (pow.f64 (cbrt.f64 1/5832000) 4) (pow.f64 (PI.f64) 4))))))))))
(+.f64 1 (fma.f64 (fma.f64 -1/12 (.f64 (pow.f64 (cbrt.f64 1/5832000) 6) (pow.f64 (PI.f64) 6)) (fma.f64 -1/720 (.f64 (pow.f64 (cbrt.f64 1/5832000) 6) (pow.f64 (PI.f64) 6)) (fma.f64 -1/360 (.f64 (pow.f64 (cbrt.f64 1/5832000) 6) (pow.f64 (PI.f64) 6)) (.f64 (.f64 -1/2 (pow.f64 (cbrt.f64 1/5832000) 2)) (.f64 (pow.f64 (PI.f64) 2) (.f64 (.f64 (pow.f64 (cbrt.f64 1/5832000) 4) (pow.f64 (PI.f64) 4)) 1/3)))))) (pow.f64 angle 6) (fma.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 1/5832000) 2) (pow.f64 (PI.f64) 2)) -3/2) (.f64 angle angle) (.f64 (pow.f64 angle 4) (fma.f64 1/2 (.f64 (pow.f64 (cbrt.f64 1/5832000) 4) (pow.f64 (PI.f64) 4)) (fma.f64 1/24 (.f64 (pow.f64 (cbrt.f64 1/5832000) 4) (pow.f64 (PI.f64) 4)) (.f64 (.f64 (pow.f64 (cbrt.f64 1/5832000) 4) (pow.f64 (PI.f64) 4)) 1/3)))))))
(+.f64 1 (fma.f64 (pow.f64 angle 6) (+.f64 (fma.f64 -1/2 (.f64 (pow.f64 (cbrt.f64 1/5832000) 2) (.f64 (pow.f64 (PI.f64) 2) (.f64 (.f64 (cbrt.f64 1/5832000) 1/5832000) (.f64 (pow.f64 (PI.f64) 4) 1/3)))) (.f64 (pow.f64 (PI.f64) 6) -1/12244400640000000)) (.f64 (pow.f64 (PI.f64) 6) -61/24488801280000000)) (fma.f64 (.f64 angle angle) (.f64 (pow.f64 (cbrt.f64 1/5832000) 2) (.f64 (pow.f64 (PI.f64) 2) -3/2)) (.f64 (pow.f64 angle 4) (fma.f64 (.f64 (.f64 (cbrt.f64 1/5832000) 1/5832000) (pow.f64 (PI.f64) 4)) 1/2 (.f64 (.f64 (.f64 (cbrt.f64 1/5832000) 1/5832000) (pow.f64 (PI.f64) 4)) 3/8))))))
(fma.f64 (pow.f64 angle 6) (+.f64 (.f64 -1/2 (.f64 1/3 (pow.f64 (.f64 (pow.f64 (cbrt.f64 1/5832000) 2) (pow.f64 (PI.f64) 2)) 3))) (.f64 (pow.f64 (PI.f64) 6) -7/2720977920000000)) (fma.f64 angle (.f64 angle (.f64 (pow.f64 (cbrt.f64 1/5832000) 2) (.f64 (pow.f64 (PI.f64) 2) -3/2))) (fma.f64 (pow.f64 angle 4) (.f64 (.f64 (.f64 (cbrt.f64 1/5832000) 1/5832000) (pow.f64 (PI.f64) 4)) 7/8) 1)))
(fma.f64 (pow.f64 angle 6) (+.f64 (.f64 -1/2 (.f64 1/3 (pow.f64 (.f64 (pow.f64 (cbrt.f64 1/5832000) 2) (pow.f64 (PI.f64) 2)) 3))) (.f64 (pow.f64 (PI.f64) 6) -7/2720977920000000)) (fma.f64 angle (.f64 angle (.f64 (pow.f64 (cbrt.f64 1/5832000) 2) (.f64 (pow.f64 (PI.f64) 2) -3/2))) (fma.f64 (pow.f64 angle 4) (.f64 (pow.f64 (PI.f64) 4) (.f64 (.f64 (cbrt.f64 1/5832000) 1/5832000) 7/8)) 1)))
(fma.f64 (pow.f64 angle 6) (+.f64 (.f64 -1/2 (.f64 (.f64 1/34012224000000 (pow.f64 (PI.f64) 6)) 1/3)) (.f64 (pow.f64 (PI.f64) 6) -7/2720977920000000)) (fma.f64 angle (.f64 angle (.f64 (pow.f64 (cbrt.f64 1/5832000) 2) (.f64 (pow.f64 (PI.f64) 2) -3/2))) (fma.f64 (pow.f64 angle 4) (.f64 (.f64 (cbrt.f64 1/5832000) 1/5832000) (.f64 (pow.f64 (PI.f64) 4) 7/8)) 1)))
(pow.f64 (cos.f64 (.f64 (cbrt.f64 1/5832000) (.f64 angle (PI.f64)))) 3)
(pow.f64 (cos.f64 (.f64 (cbrt.f64 1/5832000) (.f64 angle (PI.f64)))) 3)
(pow.f64 (cos.f64 (.f64 (cbrt.f64 1/5832000) (.f64 angle (PI.f64)))) 3)
(pow.f64 (cos.f64 (.f64 (cbrt.f64 1/5832000) (.f64 angle (PI.f64)))) 3)
(pow.f64 (cos.f64 (.f64 -1 (.f64 angle (*.f64 (cbrt.f64 -1/5832000) (PI.f64))))) 3)
(pow.f64 (cos.f64 (neg.f64 (.f64 (.f64 angle (cbrt.f64 -1/5832000)) (PI.f64)))) 3)
(pow.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) (cbrt.f64 -1/5832000)))) 3)
(pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle (cbrt.f64 -1/5832000)))) 3)
(pow.f64 (cos.f64 (.f64 -1 (.f64 angle (*.f64 (cbrt.f64 -1/5832000) (PI.f64))))) 3)
(pow.f64 (cos.f64 (neg.f64 (.f64 (.f64 angle (cbrt.f64 -1/5832000)) (PI.f64)))) 3)
(pow.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) (cbrt.f64 -1/5832000)))) 3)
(pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle (cbrt.f64 -1/5832000)))) 3)
(pow.f64 (cos.f64 (.f64 -1 (.f64 angle (*.f64 (cbrt.f64 -1/5832000) (PI.f64))))) 3)
(pow.f64 (cos.f64 (neg.f64 (.f64 (.f64 angle (cbrt.f64 -1/5832000)) (PI.f64)))) 3)
(pow.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) (cbrt.f64 -1/5832000)))) 3)
(pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle (cbrt.f64 -1/5832000)))) 3)
(pow.f64 (cos.f64 (.f64 -1 (.f64 angle (*.f64 (cbrt.f64 -1/5832000) (PI.f64))))) 3)
(pow.f64 (cos.f64 (neg.f64 (.f64 (.f64 angle (cbrt.f64 -1/5832000)) (PI.f64)))) 3)
(pow.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) (cbrt.f64 -1/5832000)))) 3)
(pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle (cbrt.f64 -1/5832000)))) 3)
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (.f64 angle (PI.f64)) 1/180)
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (.f64 angle (PI.f64)) 1/180)
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (.f64 angle (PI.f64)) 1/180)
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (.f64 angle (PI.f64)) 1/180)
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (.f64 angle (PI.f64)) 1/180)
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (.f64 angle (PI.f64)) 1/180)
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (.f64 angle (PI.f64)) 1/180)
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (.f64 angle (PI.f64)) 1/180)
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (.f64 angle (PI.f64)) 1/180)
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (.f64 angle (PI.f64)) 1/180)
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (.f64 angle (PI.f64)) 1/180)
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (.f64 angle (PI.f64)) 1/180)
(.f64 angle (.f64 (PI.f64) 1/180))

eval305.0ms (1.7%)

Compiler: Compiled 14374 to 10396 computations (27.7% saved)

prune230.0ms (1.3%)

Pruning

133 alts after pruning (124 fresh and 9 done)

	Pruned	Kept	Total
New	477	51	528
Fresh	26	73	99
Picked	1	0	1
Done	1	9	10
Total	505	133	638

Error

18.5b

Counts

638 → 133

Alt Table

Click to see full alt table

Status	Error	Program
	25.2b	(+.f64 (pow.f64 (.f64 a (cbrt.f64 (pow.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) (neg.f64 (cbrt.f64 -1/5832000))))) 3))) 2) (pow.f64 (.f64 b (.f64 1/180 (.f64 angle (PI.f64)))) 2))
	34.6b	(+.f64 (pow.f64 (.f64 a (log.f64 (exp.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180))))) 2) (.f64 (.f64 angle angle) (.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (.f64 b b)))))
	47.7b	(+.f64 (pow.f64 (.f64 a (cos.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) 3)))) 2) (pow.f64 (.f64 b (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
	25.2b	(+.f64 (pow.f64 (.f64 a (log1p.f64 (expm1.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180))))) 2) (pow.f64 (.f64 b (.f64 1/180 (.f64 angle (PI.f64)))) 2))
	24.9b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (PI.f64) (.f64 b (.f64 1/180 angle))) 2))
	29.2b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) 2) (*.f64 b b)))
✓	19.7b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) b) 2))
	28.0b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 (.f64 (sqrt.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2)) b) (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) b))
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✓	24.9b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 (.f64 angle (.f64 b (PI.f64))) 2) 1/32400))
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✓	19.7b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
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	24.9b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (.f64 (PI.f64) (.f64 1/180 angle))) 2))
	25.1b	(+.f64 (pow.f64 (.f64 a (pow.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))) 3)) 2) (pow.f64 (.f64 b (.f64 angle (*.f64 (PI.f64) 1/180))) 2))
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	23.4b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 1/180 (.f64 angle (-.f64 (+.f64 1 (.f64 b (PI.f64))) 1))) 2))
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✓	20.3b	(+.f64 (pow.f64 (.f64 a (log.f64 (exp.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	20.3b	(+.f64 (pow.f64 (.f64 a (pow.f64 (cbrt.f64 (+.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)))))))) 3)) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
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✓	25.1b	(+.f64 (pow.f64 (.f64 a (pow.f64 (cbrt.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) 3)) 2) (pow.f64 (.f64 b (.f64 angle (.f64 (PI.f64) 1/180))) 2))
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	24.9b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))) (.f64 angle (.f64 b (PI.f64)))) 1/180))
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	32.1b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (.f64 angle (.f64 angle (.f64 (.f64 b b) (pow.f64 (PI.f64) 2))))))
	19.8b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (/.f64 1 (/.f64 180 (*.f64 (PI.f64) angle))))) 2))
✓	19.7b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 2))
	19.9b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b)) 6))
	21.0b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 (.f64 (sin.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) angle)) 3) 1/180)) b) (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) b))
	25.2b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 2) (pow.f64 (.f64 b (.f64 1/180 (.f64 angle (PI.f64)))) 2))
	24.5b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 (.f64 (.f64 angle (.f64 1/180 (PI.f64))) b) (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) b))
	19.9b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b)) 3) 2))
	39.1b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (/.f64 1 (/.f64 180 (pow.f64 (pow.f64 (.f64 (PI.f64) angle) 3) 1/3))))) 2))
	25.2b	(+.f64 (pow.f64 (.f64 a (cos.f64 (/.f64 (PI.f64) (/.f64 180 angle)))) 2) (pow.f64 (.f64 b (.f64 1/180 (.f64 angle (PI.f64)))) 2))
	23.6b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (sin.f64 (expm1.f64 (log1p.f64 (.f64 angle (.f64 (PI.f64) 1/180))))) b) 2))
	19.7b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (/.f64 (*.f64 (PI.f64) angle) 180))) 2))
	20.7b	(+.f64 (pow.f64 (.f64 a 1) 2) (exp.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) b)) 2)) 3)))
	19.9b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b)) 2) 3))
	27.6b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 (.f64 (.f64 angle (.f64 b (PI.f64))) (*.f64 b (PI.f64))) angle) 1/32400))
	44.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) 3)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))
	21.0b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) b) (sin.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) angle)) 3) 1/180))) b))
	31.0b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (log.f64 (exp.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))))) b) 2))
	25.2b	(+.f64 (pow.f64 (.f64 a (cbrt.f64 (pow.f64 (cos.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 3)) 3))) 2) (pow.f64 (.f64 b (.f64 1/180 (.f64 angle (PI.f64)))) 2))
	31.6b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b) 3) 2/3))
	26.1b	(+.f64 (pow.f64 (.f64 a (pow.f64 (cbrt.f64 (cos.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 3)))) 3)) 2) (pow.f64 (.f64 b (.f64 angle (.f64 (PI.f64) 1/180))) 2))
	28.7b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (-.f64 (+.f64 1 (pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)) 1) 1/32400))
	25.2b	(+.f64 (pow.f64 (.f64 a (cos.f64 (/.f64 (.f64 (PI.f64) angle) 180))) 2) (pow.f64 (.f64 b (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
	45.4b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 (.f64 (sin.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) angle)) 2) 1/180)) b) (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) b))
	26.5b	(+.f64 (pow.f64 (.f64 a (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (PI.f64) angle) 1/180)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (PI.f64) angle) 1/180)))) (sin.f64 1)))) 2) (pow.f64 (.f64 b (.f64 1/180 (.f64 angle (PI.f64)))) 2))
	19.7b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b) 2))
	39.4b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 3) 1/3)) b)) 5) (cbrt.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) b))))
	45.2b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) 1/3)))) 2))
	30.4b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b) 6) 1/3))
	37.9b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b) 1/3) 5) (cbrt.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) b))))
	25.1b	(+.f64 (pow.f64 (.f64 a (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) 3) 3)) 2) (pow.f64 (.f64 b (.f64 angle (.f64 (PI.f64) 1/180))) 2))
	34.3b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 angle angle) (.f64 b (.f64 (pow.f64 (PI.f64) 2) (.f64 b 1/32400)))))
	44.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) 1/3)))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	32.1b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (sin.f64 (cbrt.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) 1/180)) 3))) b) 2))
	45.4b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) b)) 5) (cbrt.f64 (.f64 (sin.f64 (exp.f64 (log.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) b))))
	20.3b	(+.f64 (pow.f64 (.f64 a (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 3)) 3)) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	47.7b	(+.f64 (pow.f64 (.f64 a (cos.f64 (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) 1/3)))) 2) (pow.f64 (.f64 b (.f64 1/180 (.f64 angle (PI.f64)))) 2))
	24.9b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 (.f64 (.f64 angle b) (.f64 angle b)) (pow.f64 (PI.f64) 2)) 1/32400))
	28.6b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (-.f64 (+.f64 1 (.f64 1/180 (.f64 angle (.f64 b (PI.f64))))) 1) 2))
	20.7b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 3)) b)) 5) (cbrt.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) b))))
	37.3b	(+.f64 (pow.f64 (.f64 a 1) 2) (exp.f64 (.f64 2 (log.f64 (.f64 (sin.f64 (.f64 (*.f64 (PI.f64) angle) 1/180)) b)))))
	34.9b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (-.f64 (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (PI.f64) angle) 1/180)))) (cos.f64 1)) (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (PI.f64) angle) 1/180)))) (sin.f64 1)))) 2))

Compiler

Compiled 3563 to 2906 computations (18.4% saved)

regimes1.9s (11%)

Counts

208 → 1

Calls

Call 1

Inputs
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (PI.f64) (.f64 b (.f64 1/180 angle))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (.f64 angle (.f64 1/180 (PI.f64))) b) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (.f64 1/180 (.f64 angle (PI.f64))) b) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 (.f64 angle (.f64 b (PI.f64))) 2) 1/32400))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (.f64 (PI.f64) (.f64 1/180 angle))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (PI.f64) (.f64 b (.f64 1/180 angle))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (.f64 angle (.f64 (PI.f64) 1/180))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 (pow.f64 (.f64 b (PI.f64)) 2) (*.f64 angle angle)) 1/32400))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (.f64 angle (.f64 angle (.f64 (.f64 b b) (pow.f64 (PI.f64) 2))))))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 (.f64 (.f64 angle (.f64 b (PI.f64))) (*.f64 b (PI.f64))) angle) 1/32400))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (-.f64 (+.f64 1 (pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)) 1) 1/32400))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 angle angle) (.f64 b (.f64 (pow.f64 (PI.f64) 2) (.f64 b 1/32400)))))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 (.f64 (.f64 angle b) (.f64 angle b)) (pow.f64 (PI.f64) 2)) 1/32400))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 1/180 (-.f64 (+.f64 1 (.f64 angle (.f64 b (PI.f64)))) 1)) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 1/180 (.f64 angle (-.f64 (+.f64 1 (.f64 b (PI.f64))) 1))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 angle angle) (.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (.f64 b b)))))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 b b) (.f64 (pow.f64 (PI.f64) 2) (.f64 angle (.f64 angle 1/32400)))))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 (.f64 1/180 angle) (.f64 1/180 angle)) (pow.f64 (.f64 b (PI.f64)) 2)))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (-.f64 (+.f64 1 (.f64 1/180 (.f64 angle (.f64 b (PI.f64))))) 1) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 angle angle) (.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (.f64 b b)))))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))) (.f64 angle (.f64 b (PI.f64)))) 1/180))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))) 1/180) (.f64 angle (.f64 b (PI.f64)))))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) b) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (/.f64 (*.f64 (PI.f64) angle) 180))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 b (.f64 b (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 b (.f64 b (pow.f64 (sin.f64 (.f64 (PI.f64) (*.f64 1/180 angle))) 2))))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) 2) (*.f64 b b)))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (/.f64 1 (/.f64 180 (*.f64 (PI.f64) angle))))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 b (.f64 b (pow.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) 2))))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (-.f64 (+.f64 1 (.f64 b (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) 1) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 (.f64 (.f64 angle (.f64 1/180 (PI.f64))) b) (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) b))
(+.f64 (pow.f64 (.f64 a 1) 2) (sqrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) b) 4)))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b)) 4))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b)) 6))
(+.f64 (pow.f64 (.f64 a 1) 2) (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) b) 6)))
(+.f64 (pow.f64 (.f64 a 1) 2) (exp.f64 (.f64 2 (log.f64 (.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))) b)))))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b) 3) 2/3))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b) 6) 1/3))
(+.f64 (pow.f64 (.f64 a 1) 2) (exp.f64 (.f64 2 (log.f64 (.f64 (sin.f64 (.f64 (*.f64 (PI.f64) angle) 1/180)) b)))))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 b 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 b (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (/.f64 (PI.f64) (/.f64 180 angle)))) 2) (pow.f64 (.f64 b (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 2) (pow.f64 (.f64 b (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (/.f64 (.f64 (PI.f64) angle) 180))) 2) (pow.f64 (.f64 b (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (.f64 angle (*.f64 (PI.f64) 1/180))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 (.f64 angle angle) (pow.f64 (.f64 (.f64 (PI.f64) b) 1/180) 2)))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) b) (sin.f64 (.f64 angle (.f64 1/180 (PI.f64))))) b))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) b) (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) b))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) b) b) (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180))))
(+.f64 (pow.f64 (.f64 a (-.f64 (+.f64 1 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 1)) 2) (pow.f64 (.f64 b (.f64 angle (.f64 (PI.f64) 1/180))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (/.f64 (.f64 (PI.f64) angle) 180))) 2) (.f64 (.f64 angle angle) (.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (*.f64 b b)))))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (.f64 b (.f64 angle (*.f64 angle b))))))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 (.f64 angle angle) (.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (*.f64 b b)))))
(+.f64 (pow.f64 (.f64 a 1) 2) (expm1.f64 (log1p.f64 (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b) 2))))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (sin.f64 (expm1.f64 (log1p.f64 (.f64 angle (.f64 (PI.f64) 1/180))))) b) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (log.f64 (exp.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))))) b) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (exp.f64 (log.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (expm1.f64 (log1p.f64 (.f64 (.f64 (PI.f64) angle) 1/180))))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (log.f64 (exp.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180))))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (expm1.f64 (log1p.f64 (pow.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) b) 2))))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (sin.f64 (pow.f64 (sqrt.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2)) b) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (sin.f64 (pow.f64 (cbrt.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 3)) b) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b)) 2) 3))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (sin.f64 (cbrt.f64 (pow.f64 (.f64 angle (.f64 (PI.f64) 1/180)) 3))) b) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b)) 3) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) 3))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) 2))) 2))
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(+.f64 (pow.f64 (.f64 a (cbrt.f64 (pow.f64 (cos.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 3)) 3))) 2) (pow.f64 (.f64 b (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) 3)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))
(+.f64 (pow.f64 (.f64 a (pow.f64 (cbrt.f64 (cos.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 3) 1/3))) 3)) 2) (pow.f64 (.f64 b (.f64 angle (.f64 (PI.f64) 1/180))) 2))
(+.f64 (pow.f64 (.f64 a (cbrt.f64 (pow.f64 (cos.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 3) 1/3)) 3))) 2) (pow.f64 (.f64 b (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) 2) (cbrt.f64 (sin.f64 (.f64 (*.f64 (PI.f64) angle) 1/180))))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b) 2) 1/6) 5) (cbrt.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) b))))
(+.f64 (pow.f64 (.f64 a (pow.f64 (cbrt.f64 (log.f64 (exp.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))
(+.f64 (pow.f64 (.f64 a (pow.f64 (cbrt.f64 (log1p.f64 (expm1.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))
(+.f64 (pow.f64 (.f64 a (log.f64 (exp.f64 (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))
(+.f64 (pow.f64 (.f64 a (log.f64 (exp.f64 (pow.f64 (sqrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2)))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
(+.f64 (pow.f64 (.f64 a (log.f64 (exp.f64 (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))
(+.f64 (pow.f64 (.f64 a (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 3)) 3)) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) b)) 5) (cbrt.f64 (.f64 (sin.f64 (exp.f64 (log.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) b))))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b))) 3) 5) (cbrt.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) b))))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) b)) 5) (cbrt.f64 (.f64 (sqrt.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2)) b))))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 3)) b)) 5) (cbrt.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) b))))
(+.f64 (pow.f64 (.f64 a (cbrt.f64 (pow.f64 (cos.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 angle 1/180)) 2) (.f64 (cbrt.f64 (.f64 angle 1/180)) (PI.f64)))) 3))) 2) (pow.f64 (.f64 b (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 3) 1/3)) b)) 5) (cbrt.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) b))))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) b)) 5) (cbrt.f64 (.f64 (sin.f64 (.f64 (*.f64 (PI.f64) angle) 1/180)) b))))
(+.f64 (pow.f64 (.f64 a (cbrt.f64 (pow.f64 (cos.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 (cbrt.f64 (PI.f64)) (.f64 angle 1/180)))) 3))) 2) (pow.f64 (.f64 b (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 a (.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2) (cbrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) 2) (cbrt.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180))))) 2))
(+.f64 (pow.f64 (.f64 a (.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) 2) (cbrt.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180))))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))
(+.f64 (pow.f64 (.f64 a (cbrt.f64 (pow.f64 (cos.f64 (.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 2) 1/3) (cbrt.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) 3))) 2) (pow.f64 (.f64 b (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (-.f64 (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (PI.f64) angle) 1/180)))) (cos.f64 1)) (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (PI.f64) angle) 1/180)))) (sin.f64 1)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 2 (log.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b)))) 2)) (cbrt.f64 (.f64 2 (log.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) b))))))
(+.f64 (pow.f64 (.f64 a (pow.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))) 3)) 2) (pow.f64 (.f64 b (.f64 angle (*.f64 (PI.f64) 1/180))) 2))
(+.f64 (pow.f64 (.f64 a (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (PI.f64) angle) 1/180)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (PI.f64) angle) 1/180)))) (sin.f64 1)))) 2) (pow.f64 (.f64 b (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 (.f64 (-.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))) b) (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180))) b))
(+.f64 (pow.f64 (.f64 a (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (PI.f64) angle) 1/180)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (PI.f64) angle) 1/180)))) (sin.f64 1)))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
(+.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 (.f64 (PI.f64) angle) 1/180)))) (cos.f64 1)) (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 (*.f64 (PI.f64) angle) 1/180)))) (sin.f64 1)))) 2))
(+.f64 (pow.f64 (.f64 a (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180))))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
(+.f64 (pow.f64 (.f64 a (pow.f64 (cbrt.f64 (+.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)))))))) 3)) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
(+.f64 (pow.f64 (.f64 a (cbrt.f64 (pow.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))) 3))) 2) (pow.f64 (.f64 b (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 (cbrt.f64 (.f64 (-.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))) b)) 5) (cbrt.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) b))))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) b)) 5) (cbrt.f64 (.f64 (-.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))) b))))
(+.f64 (pow.f64 (.f64 a (log.f64 (exp.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) 2)) (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))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b))))) 5) (cbrt.f64 (.f64 (sin.f64 (.f64 (*.f64 (PI.f64) angle) 1/180)) b))))

Outputs
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 2))

Calls

8 calls:

339.0ms	a
279.0ms	b
233.0ms	angle
225.0ms	(*.f64 (PI.f64) (/.f64 angle 180))
201.0ms	(*.f64 (PI.f64) (/.f64 angle 180))

Results

Error	Segments	Branch
19.7b	1	`a`
19.7b	1	`b`
19.7b	1	`angle`
19.7b	1	`(+.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))`
19.7b	1	`(*.f64 (PI.f64) (/.f64 angle 180))`
19.7b	1	`(*.f64 (PI.f64) (/.f64 angle 180))`
19.7b	1	`(/.f64 angle 180)`
19.7b	1	`(/.f64 angle 180)`

Compiler

Compiled 4978 to 3542 computations (28.8% saved)

regimes116.0ms (0.7%)

Counts

27 → 1

Calls

Call 1

Inputs
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (PI.f64) (.f64 b (.f64 1/180 angle))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (.f64 angle (.f64 1/180 (PI.f64))) b) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (.f64 1/180 (.f64 angle (PI.f64))) b) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 (.f64 angle (.f64 b (PI.f64))) 2) 1/32400))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (.f64 (PI.f64) (.f64 1/180 angle))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (PI.f64) (.f64 b (.f64 1/180 angle))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (.f64 angle (.f64 (PI.f64) 1/180))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 (pow.f64 (.f64 b (PI.f64)) 2) (*.f64 angle angle)) 1/32400))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (.f64 angle (.f64 angle (.f64 (.f64 b b) (pow.f64 (PI.f64) 2))))))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 (.f64 (.f64 angle (.f64 b (PI.f64))) (*.f64 b (PI.f64))) angle) 1/32400))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (-.f64 (+.f64 1 (pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)) 1) 1/32400))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 angle angle) (.f64 b (.f64 (pow.f64 (PI.f64) 2) (.f64 b 1/32400)))))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 (.f64 (.f64 angle b) (.f64 angle b)) (pow.f64 (PI.f64) 2)) 1/32400))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 1/180 (-.f64 (+.f64 1 (.f64 angle (.f64 b (PI.f64)))) 1)) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 1/180 (.f64 angle (-.f64 (+.f64 1 (.f64 b (PI.f64))) 1))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 angle angle) (.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (.f64 b b)))))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 b b) (.f64 (pow.f64 (PI.f64) 2) (.f64 angle (.f64 angle 1/32400)))))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 (.f64 1/180 angle) (.f64 1/180 angle)) (pow.f64 (.f64 b (PI.f64)) 2)))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (-.f64 (+.f64 1 (.f64 1/180 (.f64 angle (.f64 b (PI.f64))))) 1) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 angle angle) (.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (.f64 b b)))))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))) (.f64 angle (.f64 b (PI.f64)))) 1/180))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))) 1/180) (.f64 angle (.f64 b (PI.f64)))))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) b) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))

Outputs
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) b) 2))

Calls

3 calls:

31.0ms	b
30.0ms	angle
30.0ms	a

Results

Error	Segments	Branch
19.7b	1	`a`
19.7b	1	`b`
19.7b	1	`angle`

Compiler

Compiled 485 to 320 computations (34% saved)

regimes126.0ms (0.7%)

Counts

25 → 1

Calls

Call 1

Inputs
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (PI.f64) (.f64 b (.f64 1/180 angle))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (.f64 angle (.f64 1/180 (PI.f64))) b) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (.f64 1/180 (.f64 angle (PI.f64))) b) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 (.f64 angle (.f64 b (PI.f64))) 2) 1/32400))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (.f64 (PI.f64) (.f64 1/180 angle))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (PI.f64) (.f64 b (.f64 1/180 angle))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (.f64 angle (.f64 (PI.f64) 1/180))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 (pow.f64 (.f64 b (PI.f64)) 2) (*.f64 angle angle)) 1/32400))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (.f64 angle (.f64 angle (.f64 (.f64 b b) (pow.f64 (PI.f64) 2))))))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 (.f64 (.f64 angle (.f64 b (PI.f64))) (*.f64 b (PI.f64))) angle) 1/32400))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (-.f64 (+.f64 1 (pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)) 1) 1/32400))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 angle angle) (.f64 b (.f64 (pow.f64 (PI.f64) 2) (.f64 b 1/32400)))))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 (.f64 (.f64 angle b) (.f64 angle b)) (pow.f64 (PI.f64) 2)) 1/32400))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 1/180 (-.f64 (+.f64 1 (.f64 angle (.f64 b (PI.f64)))) 1)) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 1/180 (.f64 angle (-.f64 (+.f64 1 (.f64 b (PI.f64))) 1))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 angle angle) (.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (.f64 b b)))))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 b b) (.f64 (pow.f64 (PI.f64) 2) (.f64 angle (.f64 angle 1/32400)))))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 (.f64 1/180 angle) (.f64 1/180 angle)) (pow.f64 (.f64 b (PI.f64)) 2)))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (-.f64 (+.f64 1 (.f64 1/180 (.f64 angle (.f64 b (PI.f64))))) 1) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 angle angle) (.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (.f64 b b)))))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))) (.f64 angle (.f64 b (PI.f64)))) 1/180))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))) 1/180) (.f64 angle (.f64 b (PI.f64)))))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b) 2))

Outputs
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b) 2))

Calls

3 calls:

49.0ms	b
27.0ms	angle
26.0ms	a

Results

Error	Segments	Branch
19.7b	1	`a`
19.7b	1	`b`
19.7b	1	`angle`

Compiler

Compiled 453 to 297 computations (34.4% saved)

regimes152.0ms (0.9%)

Counts

24 → 3

Calls

Call 1

Inputs
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (PI.f64) (.f64 b (.f64 1/180 angle))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (.f64 angle (.f64 1/180 (PI.f64))) b) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (.f64 1/180 (.f64 angle (PI.f64))) b) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 (.f64 angle (.f64 b (PI.f64))) 2) 1/32400))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (.f64 (PI.f64) (.f64 1/180 angle))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (PI.f64) (.f64 b (.f64 1/180 angle))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (.f64 angle (.f64 (PI.f64) 1/180))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 (pow.f64 (.f64 b (PI.f64)) 2) (*.f64 angle angle)) 1/32400))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (.f64 angle (.f64 angle (.f64 (.f64 b b) (pow.f64 (PI.f64) 2))))))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 (.f64 (.f64 angle (.f64 b (PI.f64))) (*.f64 b (PI.f64))) angle) 1/32400))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (-.f64 (+.f64 1 (pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)) 1) 1/32400))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 angle angle) (.f64 b (.f64 (pow.f64 (PI.f64) 2) (.f64 b 1/32400)))))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 (.f64 (.f64 angle b) (.f64 angle b)) (pow.f64 (PI.f64) 2)) 1/32400))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 1/180 (-.f64 (+.f64 1 (.f64 angle (.f64 b (PI.f64)))) 1)) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 1/180 (.f64 angle (-.f64 (+.f64 1 (.f64 b (PI.f64))) 1))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 angle angle) (.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (.f64 b b)))))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 b b) (.f64 (pow.f64 (PI.f64) 2) (.f64 angle (.f64 angle 1/32400)))))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 (.f64 1/180 angle) (.f64 1/180 angle)) (pow.f64 (.f64 b (PI.f64)) 2)))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (-.f64 (+.f64 1 (.f64 1/180 (.f64 angle (.f64 b (PI.f64))))) 1) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 angle angle) (.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (.f64 b b)))))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))) (.f64 angle (.f64 b (PI.f64)))) 1/180))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))) 1/180) (.f64 angle (.f64 b (PI.f64)))))

Outputs

(+.f64 (pow.f64 (*.f64 a 1) 2) (pow.f64 (*.f64 1/180 (*.f64 angle (-.f64 (+.f64 1 (*.f64 b (PI.f64))) 1))) 2))

(+.f64 (pow.f64 (*.f64 a 1) 2) (*.f64 (*.f64 (*.f64 1/180 (*.f64 angle (*.f64 b (PI.f64)))) 1/180) (*.f64 angle (*.f64 b (PI.f64)))))

(+.f64 (pow.f64 (*.f64 a 1) 2) (pow.f64 (*.f64 1/180 (*.f64 angle (-.f64 (+.f64 1 (*.f64 b (PI.f64))) 1))) 2))

Calls

3 calls:

71.0ms	angle
29.0ms	b
27.0ms	a

Results

Error	Segments	Branch
23.4b	1	`a`
23.4b	1	`b`
22.1b	3	`angle`

Compiler

Compiled 437 to 286 computations (34.6% saved)

bsearch213.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
53.0ms	2.3971850140304656e+30	4.4899906650905853e+39
159.0ms	-2.7937374901666895e+125	-5.009688366829269e+111

Compiler

Compiled 126 to 98 computations (22.2% saved)

regimes153.0ms (0.9%)

Counts

23 → 3

Calls

Call 1

Inputs
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (PI.f64) (.f64 b (.f64 1/180 angle))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (.f64 angle (.f64 1/180 (PI.f64))) b) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (.f64 1/180 (.f64 angle (PI.f64))) b) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 (.f64 angle (.f64 b (PI.f64))) 2) 1/32400))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (.f64 (PI.f64) (.f64 1/180 angle))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (PI.f64) (.f64 b (.f64 1/180 angle))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (.f64 angle (.f64 (PI.f64) 1/180))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 (pow.f64 (.f64 b (PI.f64)) 2) (*.f64 angle angle)) 1/32400))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (.f64 angle (.f64 angle (.f64 (.f64 b b) (pow.f64 (PI.f64) 2))))))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 (.f64 (.f64 angle (.f64 b (PI.f64))) (*.f64 b (PI.f64))) angle) 1/32400))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (-.f64 (+.f64 1 (pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)) 1) 1/32400))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 angle angle) (.f64 b (.f64 (pow.f64 (PI.f64) 2) (.f64 b 1/32400)))))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 (.f64 (.f64 angle b) (.f64 angle b)) (pow.f64 (PI.f64) 2)) 1/32400))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 1/180 (-.f64 (+.f64 1 (.f64 angle (.f64 b (PI.f64)))) 1)) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 1/180 (.f64 angle (-.f64 (+.f64 1 (.f64 b (PI.f64))) 1))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 angle angle) (.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (.f64 b b)))))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 b b) (.f64 (pow.f64 (PI.f64) 2) (.f64 angle (.f64 angle 1/32400)))))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 (.f64 1/180 angle) (.f64 1/180 angle)) (pow.f64 (.f64 b (PI.f64)) 2)))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (-.f64 (+.f64 1 (.f64 1/180 (.f64 angle (.f64 b (PI.f64))))) 1) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 angle angle) (.f64 1/32400 (.f64 (pow.f64 (PI.f64) 2) (.f64 b b)))))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))) (.f64 angle (.f64 b (PI.f64)))) 1/180))

Outputs

(+.f64 (pow.f64 (*.f64 a 1) 2) (pow.f64 (*.f64 1/180 (*.f64 angle (-.f64 (+.f64 1 (*.f64 b (PI.f64))) 1))) 2))

(+.f64 (pow.f64 (*.f64 a 1) 2) (pow.f64 (*.f64 (*.f64 angle (*.f64 1/180 (PI.f64))) b) 2))

(+.f64 (pow.f64 (*.f64 a 1) 2) (pow.f64 (*.f64 1/180 (*.f64 angle (-.f64 (+.f64 1 (*.f64 b (PI.f64))) 1))) 2))

Calls

3 calls:

67.0ms	angle
27.0ms	b
26.0ms	a

Results

Error	Segments	Branch
23.4b	1	`a`
23.4b	1	`b`
22.2b	3	`angle`

Compiler

Compiled 416 to 276 computations (33.7% saved)

bsearch132.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
41.0ms	2.3971850140304656e+30	4.4899906650905853e+39
91.0ms	-2.7937374901666895e+125	-5.009688366829269e+111

Compiler

Compiled 114 to 96 computations (15.8% saved)

regimes60.0ms (0.3%)

Counts

16 → 3

Calls

Call 1

Inputs
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (PI.f64) (.f64 b (.f64 1/180 angle))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (.f64 angle (.f64 1/180 (PI.f64))) b) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (.f64 1/180 (.f64 angle (PI.f64))) b) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 (.f64 angle (.f64 b (PI.f64))) 2) 1/32400))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (.f64 (PI.f64) (.f64 1/180 angle))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (PI.f64) (.f64 b (.f64 1/180 angle))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (.f64 angle (.f64 (PI.f64) 1/180))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 (pow.f64 (.f64 b (PI.f64)) 2) (*.f64 angle angle)) 1/32400))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (.f64 angle (.f64 angle (.f64 (.f64 b b) (pow.f64 (PI.f64) 2))))))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 (.f64 (.f64 angle (.f64 b (PI.f64))) (*.f64 b (PI.f64))) angle) 1/32400))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (-.f64 (+.f64 1 (pow.f64 (.f64 angle (.f64 b (PI.f64))) 2)) 1) 1/32400))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 angle angle) (.f64 b (.f64 (pow.f64 (PI.f64) 2) (.f64 b 1/32400)))))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 (.f64 (.f64 angle b) (.f64 angle b)) (pow.f64 (PI.f64) 2)) 1/32400))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 1/180 (-.f64 (+.f64 1 (.f64 angle (.f64 b (PI.f64)))) 1)) 2))

Outputs

(+.f64 (pow.f64 (*.f64 a 1) 2) (pow.f64 (*.f64 (*.f64 angle (*.f64 1/180 (PI.f64))) b) 2))

(+.f64 (pow.f64 (*.f64 a 1) 2) (*.f64 1/32400 (*.f64 angle (*.f64 angle (*.f64 (*.f64 b b) (pow.f64 (PI.f64) 2))))))

(+.f64 (pow.f64 (*.f64 a 1) 2) (*.f64 (pow.f64 (*.f64 angle (*.f64 b (PI.f64))) 2) 1/32400))

Calls

3 calls:

29.0ms	b
11.0ms	angle
10.0ms	a

Results

Error	Segments	Branch
24.9b	1	`a`
23.2b	3	`b`
24.9b	1	`angle`

Compiler

Compiled 281 to 192 computations (31.7% saved)

bsearch136.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
122.0ms	5.012330371200352e+84	1.193509678149851e+86
13.0ms	-8.19641576870735e+166	-1.445176183681753e+148

Compiler

Compiled 72 to 58 computations (19.4% saved)

regimes26.0ms (0.1%)

Accuracy

Total -10.3b remaining (-41.4%)

Threshold costs -10.3b (-41.4%)

Counts

10 → 1

Calls

Call 1

Inputs
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (PI.f64) (.f64 b (.f64 1/180 angle))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (.f64 angle (.f64 1/180 (PI.f64))) b) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (.f64 1/180 (.f64 angle (PI.f64))) b) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 (.f64 angle (.f64 b (PI.f64))) 2) 1/32400))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (.f64 (PI.f64) (.f64 1/180 angle))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (PI.f64) (.f64 b (.f64 1/180 angle))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (.f64 angle (.f64 (PI.f64) 1/180))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 (pow.f64 (.f64 b (PI.f64)) 2) (*.f64 angle angle)) 1/32400))

Outputs
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (.f64 angle (.f64 1/180 (PI.f64))) b) 2))

Calls

3 calls:

8.0ms	a
6.0ms	angle
6.0ms	b

Results

Error	Segments	Branch
24.9b	1	`a`
24.9b	1	`b`
24.9b	1	`angle`

Compiler

Compiled 167 to 120 computations (28.1% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

25×	`*-commutative_binary64`
11×	`+-commutative_binary64`
1×	`*-rgt-identity_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	362
1	116	362
2	117	362

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) b) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b) 2))
(if (<=.f64 angle -999999999999999980003468347394201181668805192897008518188648311830772414627428725464789434929992439754776075181077037056) (+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 1/180 (.f64 angle (-.f64 (+.f64 1 (.f64 b (PI.f64))) 1))) 2)) (if (<=.f64 angle 99999999999999996863366107917975552) (+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))) 1/180) (.f64 angle (.f64 b (PI.f64))))) (+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 1/180 (.f64 angle (-.f64 (+.f64 1 (.f64 b (PI.f64))) 1))) 2))))
(if (<=.f64 angle -999999999999999980003468347394201181668805192897008518188648311830772414627428725464789434929992439754776075181077037056) (+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 1/180 (.f64 angle (-.f64 (+.f64 1 (.f64 b (PI.f64))) 1))) 2)) (if (<=.f64 angle 99999999999999996863366107917975552) (+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (.f64 angle (.f64 1/180 (PI.f64))) b) 2)) (+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 1/180 (.f64 angle (-.f64 (+.f64 1 (.f64 b (PI.f64))) 1))) 2))))
(if (<=.f64 b -999999999999999980835596172437374590573120014030318793091164810154100112203678582976298268616221151962702060266176005440567032331208403948233373515776) (+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (.f64 angle (.f64 1/180 (PI.f64))) b) 2)) (if (<=.f64 b 5012330371200352105122059869407868126786026193437595382007920214047366613863151697920) (+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (.f64 angle (.f64 angle (.f64 (.f64 b b) (pow.f64 (PI.f64) 2)))))) (+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 (.f64 angle (.f64 b (PI.f64))) 2) 1/32400))))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (.f64 angle (.f64 1/180 (PI.f64))) b) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (PI.f64) (.f64 b (.f64 1/180 angle))) 2))

Outputs
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 2))
(+.f64 (pow.f64 a 2) (pow.f64 (.f64 b (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 1/180 angle))) b) 2))
(+.f64 (pow.f64 a 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b) 2))
(+.f64 (pow.f64 a 2) (pow.f64 (.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))
(if (<=.f64 angle -999999999999999980003468347394201181668805192897008518188648311830772414627428725464789434929992439754776075181077037056) (+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 1/180 (.f64 angle (-.f64 (+.f64 1 (.f64 b (PI.f64))) 1))) 2)) (if (<=.f64 angle 99999999999999996863366107917975552) (+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 (.f64 1/180 (.f64 angle (.f64 b (PI.f64)))) 1/180) (.f64 angle (.f64 b (PI.f64))))) (+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 1/180 (.f64 angle (-.f64 (+.f64 1 (.f64 b (PI.f64))) 1))) 2))))
(if (<=.f64 angle -999999999999999980003468347394201181668805192897008518188648311830772414627428725464789434929992439754776075181077037056) (+.f64 (pow.f64 a 2) (pow.f64 (.f64 1/180 (.f64 angle (+.f64 (+.f64 1 (.f64 b (PI.f64))) -1))) 2)) (if (<=.f64 angle 99999999999999996863366107917975552) (+.f64 (pow.f64 a 2) (.f64 (.f64 angle (.f64 b (PI.f64))) (.f64 1/180 (.f64 1/180 (.f64 angle (.f64 b (PI.f64))))))) (+.f64 (pow.f64 a 2) (pow.f64 (.f64 1/180 (.f64 angle (+.f64 (+.f64 1 (*.f64 b (PI.f64))) -1))) 2))))
(if (<=.f64 angle -999999999999999980003468347394201181668805192897008518188648311830772414627428725464789434929992439754776075181077037056) (+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 1/180 (.f64 angle (-.f64 (+.f64 1 (.f64 b (PI.f64))) 1))) 2)) (if (<=.f64 angle 99999999999999996863366107917975552) (+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (.f64 angle (.f64 1/180 (PI.f64))) b) 2)) (+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 1/180 (.f64 angle (-.f64 (+.f64 1 (.f64 b (PI.f64))) 1))) 2))))
(if (<=.f64 angle -999999999999999980003468347394201181668805192897008518188648311830772414627428725464789434929992439754776075181077037056) (+.f64 (pow.f64 a 2) (pow.f64 (.f64 1/180 (.f64 angle (+.f64 (+.f64 1 (.f64 b (PI.f64))) -1))) 2)) (if (<=.f64 angle 99999999999999996863366107917975552) (+.f64 (pow.f64 a 2) (pow.f64 (.f64 b (.f64 angle (.f64 (PI.f64) 1/180))) 2)) (+.f64 (pow.f64 a 2) (pow.f64 (.f64 1/180 (.f64 angle (+.f64 (+.f64 1 (*.f64 b (PI.f64))) -1))) 2))))
(if (<=.f64 b -999999999999999980835596172437374590573120014030318793091164810154100112203678582976298268616221151962702060266176005440567032331208403948233373515776) (+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (.f64 angle (.f64 1/180 (PI.f64))) b) 2)) (if (<=.f64 b 5012330371200352105122059869407868126786026193437595382007920214047366613863151697920) (+.f64 (pow.f64 (.f64 a 1) 2) (.f64 1/32400 (.f64 angle (.f64 angle (.f64 (.f64 b b) (pow.f64 (PI.f64) 2)))))) (+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 (.f64 angle (.f64 b (PI.f64))) 2) 1/32400))))
(if (<=.f64 b -999999999999999980835596172437374590573120014030318793091164810154100112203678582976298268616221151962702060266176005440567032331208403948233373515776) (+.f64 (pow.f64 a 2) (pow.f64 (.f64 b (.f64 angle (.f64 (PI.f64) 1/180))) 2)) (if (<=.f64 b 5012330371200352105122059869407868126786026193437595382007920214047366613863151697920) (+.f64 (pow.f64 a 2) (.f64 1/32400 (.f64 angle (.f64 angle (.f64 (.f64 b b) (pow.f64 (PI.f64) 2)))))) (+.f64 (pow.f64 a 2) (.f64 1/32400 (pow.f64 (.f64 angle (*.f64 b (PI.f64))) 2)))))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (.f64 angle (.f64 1/180 (PI.f64))) b) 2))
(+.f64 (pow.f64 a 2) (pow.f64 (.f64 b (.f64 angle (*.f64 (PI.f64) 1/180))) 2))
(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 (PI.f64) (.f64 b (.f64 1/180 angle))) 2))
(+.f64 (pow.f64 a 2) (pow.f64 (.f64 (PI.f64) (.f64 b (*.f64 angle 1/180))) 2))

Compiler

Compiled 259 to 195 computations (24.7% saved)

soundness202.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

684×	`associate-+l+_binary64`
630×	`sqr-pow_binary64`
549×	`unswap-sqr_binary64`
474×	`fma-def_binary64`
464×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	87	1046
1	245	1044
2	849	1028
3	2130	1028
4	3494	1028
5	3726	1028
6	3889	1028
7	4079	1028
8	4325	1028
9	4679	1028
10	6040	1028
11	6588	1028
12	7239	1028
13	7683	1028
14	7967	1028

Stop Event

1×	node limit

Compiler

Compiled 27 to 24 computations (11.1% saved)

end129.0ms (0.7%)

Compiler: Compiled 238 to 164 computations (31.1% saved)