Details

analyze2.2s (16.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
25%	74.9%	0.1%	6
25%	74.9%	0.1%	7
25%	62.4%	12.6%	8
31.2%	56.2%	12.6%	9
31.2%	56.2%	12.6%	10
39%	48.4%	12.6%	11
44.9%	42.5%	12.6%	12
45.8%	41.5%	12.6%	13
50.4%	37%	12.6%	14

Compiler

Compiled 25 to 20 computations (20% saved)

sample7.4s (56.1%)

Results

2.0s	1528×	body	1024	valid
1.9s	1427×	body	1024	invalid
1.2s	5254×	body	128	valid
735.0ms	860×	body	512	valid
621.0ms	693×	body	512	invalid
363.0ms	186×	body	2048	valid
210.0ms	422×	body	256	valid
175.0ms	312×	body	256	invalid
137.0ms	618×	body	128	invalid
36.0ms	6×	body	4096	valid

Compiler

Compiled 50 to 40 computations (20% saved)

preprocess73.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

715×	`sqr-pow_binary64`
400×	`cube-prod_binary64`
336×	`unswap-sqr_binary64`
335×	`fabs-mul_binary64`
212×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	136
1	86	136
2	224	136
3	486	136
4	934	136
5	1294	136
6	1954	136
7	2267	136
8	2598	136
9	3074	136
10	3759	136
11	4698	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 24 to 19 computations (20.8% saved)

simplify50.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 1

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))

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

21.7b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	21.7b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))

Compiler

Compiled 72 to 57 computations (20.8% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2)
✓	0.3b	(*.f64 (PI.f64) (/.f64 angle 180))
✓	26.4b	(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
✓	26.8b	(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))

series14.0ms (0.1%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	b	@	0	(pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2)
2.0ms	angle	@	inf	(*.f64 (PI.f64) (/.f64 angle 180))
1.0ms	angle	@	0	(pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2)
1.0ms	angle	@	0	(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
1.0ms	angle	@	0	(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))

rewrite55.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	253	44
2	2927	44

Stop Event

1×	node limit

Counts

4 → 95

Calls

Call 1

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

simplify44.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

155 → 124

Calls

Call 1

Inputs
(.f64 1/180 (.f64 angle (PI.f64)))
(-.f64 (.f64 1/180 (.f64 angle (PI.f64))) (.f64 1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))))
(-.f64 (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))) (.f64 1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))))
(-.f64 (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 1/30855889612800000000 (.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7))) (.f64 1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)))))
(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))))
1
(-.f64 1 (.f64 1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))))
(-.f64 (+.f64 (.f64 1/25194240000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))) 1) (.f64 1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))))
(-.f64 (+.f64 (.f64 1/25194240000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))) 1) (+.f64 (.f64 1/24488801280000000 (.f64 (pow.f64 angle 6) (pow.f64 (PI.f64) 6))) (.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 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 (PI.f64) 2) (pow.f64 b 2))))
(-.f64 (.f64 1/32400 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 (PI.f64) 2) (pow.f64 b 2)))) (.f64 1/3149280000 (.f64 (pow.f64 angle 4) (.f64 (pow.f64 (PI.f64) 4) (pow.f64 b 2)))))
(-.f64 (+.f64 (.f64 1/765275040000000 (.f64 (pow.f64 angle 6) (.f64 (pow.f64 (PI.f64) 6) (pow.f64 b 2)))) (.f64 1/32400 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 (PI.f64) 2) (pow.f64 b 2))))) (.f64 1/3149280000 (.f64 (pow.f64 angle 4) (*.f64 (pow.f64 (PI.f64) 4) (pow.f64 b 2)))))
(-.f64 (+.f64 (.f64 1/765275040000000 (.f64 (pow.f64 angle 6) (.f64 (pow.f64 (PI.f64) 6) (pow.f64 b 2)))) (.f64 1/32400 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 (PI.f64) 2) (pow.f64 b 2))))) (+.f64 (.f64 1/3149280000 (.f64 (pow.f64 angle 4) (.f64 (pow.f64 (PI.f64) 4) (pow.f64 b 2)))) (.f64 1/347128758144000000000 (.f64 (pow.f64 angle 8) (.f64 (pow.f64 (PI.f64) 8) (pow.f64 b 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 1/180 (.f64 angle (PI.f64)))
(.f64 angle (.f64 1/180 (PI.f64)))
(-.f64 (.f64 1/180 (.f64 angle (PI.f64))) (.f64 1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))))
(+.f64 (.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 (*.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)) -1/34992000))
(fma.f64 1/180 (.f64 angle (PI.f64)) (.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 angle 3) -1/34992000)))
(fma.f64 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)) -1/34992000 (.f64 1/180 (*.f64 angle (PI.f64))))
(-.f64 (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))) (.f64 1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))))
(+.f64 (fma.f64 1/180 (.f64 angle (PI.f64)) (.f64 (.f64 1/22674816000000 (pow.f64 angle 5)) (pow.f64 (PI.f64) 5))) (.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 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)) -1/34992000)))
(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 (PI.f64) 3) (.f64 (pow.f64 angle 3) -1/34992000))))
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(.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 1/180 (.f64 angle (PI.f64)))) 2)))
(.f64 b (.f64 b (pow.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) 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 1/180 (.f64 angle (PI.f64)))) 2)))
(.f64 b (.f64 b (pow.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) 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 1/180 (.f64 angle (PI.f64)))) 2)))
(.f64 b (.f64 b (pow.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) 2)))

prune375.0ms (2.8%)

Pruning

30 alts after pruning (30 fresh and 0 done)

	Pruned	Kept	Total
New	118	30	148
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	119	30	149

Error

20.3b

Counts

149 → 30

Alt Table

Status	Error	Program
	23.6b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 b (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) b))))
	21.6b	(+.f64 (pow.f64 (.f64 a (.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))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))
	22.2b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (expm1.f64 (log1p.f64 (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) b) 2))))
	21.5b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	23.2b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 b (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) b))))
	39.0b	(+.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 (PI.f64) (.f64 angle 1/180))))) (cos.f64 1)) (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (*.f64 angle 1/180))))) (sin.f64 1)))) 2))
	31.4b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (cbrt.f64 (pow.f64 (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) b) 2) 3)))
	33.2b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (cbrt.f64 (exp.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))))) 2))
	22.4b	(+.f64 (pow.f64 (.f64 a (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (cbrt.f64 (exp.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))
	26.7b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 b (.f64 b (pow.f64 (sin.f64 (.f64 angle (.f64 1/180 (PI.f64)))) 2))))
	21.5b	(+.f64 (pow.f64 (.f64 a (cos.f64 (/.f64 1 (/.f64 180 (.f64 (PI.f64) angle))))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))
	27.3b	(+.f64 (pow.f64 (.f64 a (cos.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 3)))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	21.6b	(+.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))
	29.5b	(+.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 (PI.f64) (*.f64 angle 1/180))) 3))) 2))
	21.8b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b)) 2) (.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b)) (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) b))))
	35.2b	(+.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 (PI.f64) (*.f64 angle 1/180)) 3)))) 2))
	21.7b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 (PI.f64) (/.f64 180 angle)))) 2))
	31.3b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2)))
	28.2b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b)) 2) (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) b) 4))))
	43.2b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 2))) 2))
	27.4b	(+.f64 (pow.f64 (.f64 a (cos.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 1))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	43.0b	(+.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 (PI.f64) (*.f64 angle 1/180)))) 2)) 2))
▶	21.5b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	21.6b	(+.f64 (pow.f64 (.f64 a (cos.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 3))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	39.0b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 1))) 2))
	41.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) (*.f64 angle 1/180)) 3) 1/3))) 2))
	21.6b	(+.f64 (pow.f64 (.f64 a (pow.f64 (cbrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 3)) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	21.6b	(+.f64 (pow.f64 (.f64 a (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	21.5b	(+.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))
	22.0b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) 3))) 2))

Compiler

Compiled 5906 to 4445 computations (24.7% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180))))
	0.3b	(pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2)
	0.3b	(*.f64 (PI.f64) (/.f64 angle 180))
	26.8b	(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))

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))))

rewrite40.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

831×	`log1p-expm1-u_binary64`
831×	`expm1-log1p-u_binary64`
94×	`add-sqr-sqrt_binary64`
90×	`*-un-lft-identity_binary64`
90×	`pow1_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 → 15

Calls

Call 1

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

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

Outputs

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

simplify40.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

813×	`distribute-rgt-neg-in_binary64`
576×	`fma-neg_binary64`
389×	`distribute-lft-neg-in_binary64`
309×	`associate-r_binary64`
296×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	38	412
1	113	408
2	382	403
3	1952	394
4	3959	393

Stop Event

1×	node limit

Counts

39 → 24

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

prune362.0ms (2.7%)

Pruning

31 alts after pruning (31 fresh and 0 done)

	Pruned	Kept	Total
New	99	18	117
Fresh	16	13	29
Picked	1	0	1
Done	0	0	0
Total	116	31	147

Error

20.3b

Counts

147 → 31

Alt Table

Status	Error	Program
	26.5b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 b (.f64 b (pow.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) 2))))
	21.6b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b)) 2) (.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b)) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b))))
	21.6b	(+.f64 (pow.f64 (.f64 a (.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))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))
	28.0b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b) 4)) (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b)) 2)))
	38.7b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (-.f64 (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (cos.f64 1)) (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (sin.f64 1)))) 2))
	21.5b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	31.5b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (pow.f64 (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 3) 1/3) 2))
	22.4b	(+.f64 (pow.f64 (.f64 a (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (cbrt.f64 (exp.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))
	21.5b	(+.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))
	23.4b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) b))
	21.8b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 3))) 2))
	23.0b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b) b) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))
	42.9b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2))) 2))
	31.1b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)))
	33.0b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (cbrt.f64 (exp.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))))))) 2))
	21.6b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.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)) (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b))))
	21.5b	(+.f64 (pow.f64 (.f64 a (cos.f64 (/.f64 1 (/.f64 180 (.f64 (PI.f64) angle))))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))
	27.3b	(+.f64 (pow.f64 (.f64 a (cos.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 3)))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	21.6b	(+.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))
	22.0b	(+.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))))
	27.4b	(+.f64 (pow.f64 (.f64 a (cos.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 1))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	28.1b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 1/180 (.f64 angle (.f64 (PI.f64) b))) 2))
	21.6b	(+.f64 (pow.f64 (.f64 a (cos.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 3))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
▶	21.5b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (/.f64 (PI.f64) (/.f64 180 angle)))) 2))
	41.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) (*.f64 angle 1/180)) 3) 1/3))) 2))
	21.6b	(+.f64 (pow.f64 (.f64 a (pow.f64 (cbrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 3)) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	21.5b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (expm1.f64 (log1p.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))) 2))
	21.6b	(+.f64 (pow.f64 (.f64 a (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	31.4b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))) 1) 2))
	35.2b	(+.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 (PI.f64) (*.f64 angle 1/180)) 3)))) 2))
	38.6b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 1))) 2))

Compiler

Compiled 4463 to 3477 computations (22.1% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 b (sin.f64 (/.f64 (PI.f64) (/.f64 180 angle))))
✓	0.3b	(pow.f64 (*.f64 b (sin.f64 (/.f64 (PI.f64) (/.f64 180 angle)))) 2)
✓	0.4b	(/.f64 (PI.f64) (/.f64 180 angle))
✓	26.7b	(sin.f64 (/.f64 (PI.f64) (/.f64 180 angle)))

series6.0ms (0%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(pow.f64 (*.f64 b (sin.f64 (/.f64 (PI.f64) (/.f64 180 angle)))) 2)
0.0ms	angle	@	0	(sin.f64 (/.f64 (PI.f64) (/.f64 180 angle)))
0.0ms	angle	@	0	(pow.f64 (*.f64 b (sin.f64 (/.f64 (PI.f64) (/.f64 180 angle)))) 2)
0.0ms	angle	@	0	(*.f64 b (sin.f64 (/.f64 (PI.f64) (/.f64 180 angle))))
0.0ms	angle	@	inf	(sin.f64 (/.f64 (PI.f64) (/.f64 180 angle)))

rewrite55.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

756×	`prod-diff_binary64`
202×	`expm1-udef_binary64`
202×	`log1p-udef_binary64`
118×	`add-sqr-sqrt_binary64`
114×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	47
1	239	47
2	2942	47

Stop Event

1×	node limit

Counts

4 → 102

Calls

Call 1

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

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

simplify50.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

688×	`fma-neg_binary64`
414×	`distribute-rgt-neg-in_binary64`
406×	`distribute-lft-neg-in_binary64`
322×	`fma-def_binary64`
305×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	85	1296
1	255	1284
2	954	1254
3	2895	1234

Stop Event

1×	node limit

Counts

174 → 130

Calls

Call 1

Inputs
(.f64 1/180 (.f64 angle (PI.f64)))
(-.f64 (.f64 1/180 (.f64 angle (PI.f64))) (.f64 1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))))
(-.f64 (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))) (.f64 1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))))
(-.f64 (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 1/30855889612800000000 (.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7))) (.f64 1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)))))
(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 (PI.f64) 2) (pow.f64 b 2))))
(-.f64 (.f64 1/32400 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 (PI.f64) 2) (pow.f64 b 2)))) (.f64 1/3149280000 (.f64 (pow.f64 angle 4) (.f64 (pow.f64 (PI.f64) 4) (pow.f64 b 2)))))
(-.f64 (+.f64 (.f64 1/765275040000000 (.f64 (pow.f64 angle 6) (.f64 (pow.f64 (PI.f64) 6) (pow.f64 b 2)))) (.f64 1/32400 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 (PI.f64) 2) (pow.f64 b 2))))) (.f64 1/3149280000 (.f64 (pow.f64 angle 4) (*.f64 (pow.f64 (PI.f64) 4) (pow.f64 b 2)))))
(-.f64 (+.f64 (.f64 1/765275040000000 (.f64 (pow.f64 angle 6) (.f64 (pow.f64 (PI.f64) 6) (pow.f64 b 2)))) (.f64 1/32400 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 (PI.f64) 2) (pow.f64 b 2))))) (+.f64 (.f64 1/3149280000 (.f64 (pow.f64 angle 4) (.f64 (pow.f64 (PI.f64) 4) (pow.f64 b 2)))) (.f64 1/347128758144000000000 (.f64 (pow.f64 angle 8) (.f64 (pow.f64 (PI.f64) 8) (pow.f64 b 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 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 (PI.f64) b)))
(-.f64 (.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 (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (.f64 (pow.f64 (PI.f64) 5) b))) (.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 (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (.f64 (pow.f64 (PI.f64) 5) b))) (.f64 1/180 (.f64 angle (.f64 (PI.f64) b)))) (+.f64 (.f64 1/34992000 (.f64 (pow.f64 angle 3) (.f64 (pow.f64 (PI.f64) 3) b))) (.f64 1/30855889612800000000 (.f64 (pow.f64 angle 7) (.f64 (pow.f64 (PI.f64) 7) b)))))
(.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 (.f64 angle (PI.f64))) (.f64 1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))))
(+.f64 (.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 (*.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)) -1/34992000))
(fma.f64 1/180 (.f64 angle (PI.f64)) (.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 angle 3) -1/34992000)))
(fma.f64 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)) -1/34992000 (.f64 1/180 (*.f64 angle (PI.f64))))
(-.f64 (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))) (.f64 1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3))))
(+.f64 (fma.f64 1/180 (.f64 angle (PI.f64)) (.f64 (.f64 1/22674816000000 (pow.f64 angle 5)) (pow.f64 (PI.f64) 5))) (.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 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)) -1/34992000)))
(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 (PI.f64) 3) (.f64 (pow.f64 angle 3) -1/34992000))))
(fma.f64 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)) -1/34992000 (fma.f64 1/180 (.f64 angle (PI.f64)) (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))))
(-.f64 (+.f64 (.f64 1/180 (.f64 angle (PI.f64))) (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 1/30855889612800000000 (.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7))) (.f64 1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)))))
(-.f64 (fma.f64 1/180 (.f64 angle (PI.f64)) (.f64 (.f64 1/22674816000000 (pow.f64 angle 5)) (pow.f64 (PI.f64) 5))) (fma.f64 1/30855889612800000000 (.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7)) (.f64 (.f64 1/34992000 (pow.f64 angle 3)) (pow.f64 (PI.f64) 3))))
(-.f64 (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)) (.f64 1/30855889612800000000 (.f64 (pow.f64 angle 7) (pow.f64 (PI.f64) 7)))))
(fma.f64 1/180 (.f64 angle (PI.f64)) (fma.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)) (fma.f64 (.f64 (pow.f64 angle 3) -1/34992000) (pow.f64 (PI.f64) 3) (.f64 (pow.f64 (PI.f64) 7) (*.f64 (pow.f64 angle 7) -1/30855889612800000000)))))
(fma.f64 1/180 (.f64 angle (PI.f64)) (fma.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)) (fma.f64 (pow.f64 angle 3) (.f64 (pow.f64 (PI.f64) 3) -1/34992000) (.f64 (pow.f64 (PI.f64) 7) (*.f64 (pow.f64 angle 7) -1/30855889612800000000)))))
(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 (.f64 b b) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(.f64 b (.f64 b (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 (.f64 b b) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(.f64 b (.f64 b (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 (.f64 b b) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(.f64 b (.f64 b (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 (.f64 b b) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(.f64 b (.f64 b (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 (.f64 b b) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(.f64 b (.f64 b (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 (.f64 b b) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(.f64 b (.f64 b (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 (.f64 b b) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(.f64 b (.f64 b (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 (.f64 b b) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(.f64 b (.f64 b (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 (.f64 b b) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(.f64 b (.f64 b (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 (.f64 b b) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(.f64 b (.f64 b (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 (.f64 b b) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(.f64 b (.f64 b (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 (.f64 b b) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(.f64 b (.f64 b (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)))
(.f64 1/32400 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 b 2))))
(.f64 (.f64 1/32400 (.f64 angle angle)) (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2)))
(.f64 1/32400 (.f64 angle (.f64 angle (.f64 (*.f64 b b) (pow.f64 (PI.f64) 2)))))
(.f64 (.f64 b b) (.f64 1/32400 (.f64 (*.f64 angle angle) (pow.f64 (PI.f64) 2))))
(-.f64 (.f64 1/32400 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 (PI.f64) 2) (pow.f64 b 2)))) (.f64 1/3149280000 (.f64 (pow.f64 angle 4) (.f64 (pow.f64 (PI.f64) 4) (pow.f64 b 2)))))
(-.f64 (.f64 (.f64 1/32400 (.f64 angle angle)) (.f64 (.f64 b b) (pow.f64 (PI.f64) 2))) (.f64 (.f64 1/3149280000 (pow.f64 angle 4)) (.f64 (*.f64 b b) (pow.f64 (PI.f64) 4))))
(fma.f64 1/32400 (.f64 angle (.f64 angle (.f64 (.f64 b b) (pow.f64 (PI.f64) 2)))) (.f64 (.f64 (pow.f64 angle 4) (.f64 b (.f64 b (pow.f64 (PI.f64) 4)))) -1/3149280000))
(.f64 (.f64 b b) (-.f64 (.f64 1/32400 (.f64 (.f64 angle angle) (pow.f64 (PI.f64) 2))) (.f64 1/3149280000 (*.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4)))))
(.f64 (.f64 b b) (fma.f64 1/32400 (.f64 (.f64 angle angle) (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (PI.f64) 4) (.f64 (pow.f64 angle 4) -1/3149280000))))
(-.f64 (+.f64 (.f64 1/765275040000000 (.f64 (pow.f64 angle 6) (.f64 (pow.f64 (PI.f64) 6) (pow.f64 b 2)))) (.f64 1/32400 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 (PI.f64) 2) (pow.f64 b 2))))) (.f64 1/3149280000 (.f64 (pow.f64 angle 4) (*.f64 (pow.f64 (PI.f64) 4) (pow.f64 b 2)))))
(+.f64 (fma.f64 1/765275040000000 (.f64 (pow.f64 angle 6) (.f64 (.f64 b b) (pow.f64 (PI.f64) 6))) (.f64 (.f64 1/32400 (.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 1/765275040000000 (.f64 (.f64 b b) (.f64 (pow.f64 angle 6) (pow.f64 (PI.f64) 6))) (fma.f64 1/32400 (.f64 angle (.f64 angle (.f64 (.f64 b b) (pow.f64 (PI.f64) 2)))) (.f64 (.f64 (pow.f64 angle 4) (.f64 b (*.f64 b (pow.f64 (PI.f64) 4)))) -1/3149280000)))
(fma.f64 1/32400 (.f64 b (.f64 b (.f64 (.f64 angle angle) (pow.f64 (PI.f64) 2)))) (.f64 (.f64 b b) (-.f64 (.f64 (pow.f64 (PI.f64) 6) (.f64 1/765275040000000 (pow.f64 angle 6))) (.f64 (pow.f64 (PI.f64) 4) (.f64 1/3149280000 (pow.f64 angle 4))))))
(.f64 (.f64 b b) (-.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 angle (.f64 angle 1/32400))) (.f64 1/765275040000000 (.f64 (pow.f64 angle 6) (pow.f64 (PI.f64) 6)))) (.f64 1/3149280000 (*.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4)))))
(-.f64 (+.f64 (.f64 1/765275040000000 (.f64 (pow.f64 angle 6) (.f64 (pow.f64 (PI.f64) 6) (pow.f64 b 2)))) (.f64 1/32400 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 (PI.f64) 2) (pow.f64 b 2))))) (+.f64 (.f64 1/3149280000 (.f64 (pow.f64 angle 4) (.f64 (pow.f64 (PI.f64) 4) (pow.f64 b 2)))) (.f64 1/347128758144000000000 (.f64 (pow.f64 angle 8) (.f64 (pow.f64 (PI.f64) 8) (pow.f64 b 2))))))
(-.f64 (fma.f64 1/765275040000000 (.f64 (pow.f64 angle 6) (.f64 (.f64 b b) (pow.f64 (PI.f64) 6))) (.f64 (.f64 1/32400 (.f64 angle angle)) (.f64 (.f64 b b) (pow.f64 (PI.f64) 2)))) (fma.f64 1/3149280000 (.f64 (pow.f64 angle 4) (.f64 (.f64 b b) (pow.f64 (PI.f64) 4))) (.f64 (.f64 1/347128758144000000000 (pow.f64 angle 8)) (.f64 (*.f64 b b) (pow.f64 (PI.f64) 8)))))
(-.f64 (fma.f64 (.f64 1/32400 (.f64 angle angle)) (.f64 (.f64 b b) (pow.f64 (PI.f64) 2)) (.f64 1/765275040000000 (.f64 (.f64 b b) (.f64 (pow.f64 angle 6) (pow.f64 (PI.f64) 6))))) (fma.f64 1/3149280000 (.f64 (pow.f64 angle 4) (.f64 b (.f64 b (pow.f64 (PI.f64) 4)))) (.f64 1/347128758144000000000 (.f64 (.f64 b b) (*.f64 (pow.f64 angle 8) (pow.f64 (PI.f64) 8))))))
(+.f64 (.f64 (.f64 b b) (+.f64 (.f64 1/32400 (.f64 (.f64 angle angle) (pow.f64 (PI.f64) 2))) (.f64 (pow.f64 (PI.f64) 6) (.f64 1/765275040000000 (pow.f64 angle 6))))) (.f64 (.f64 b b) (-.f64 (.f64 -1/3149280000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4))) (.f64 (pow.f64 (PI.f64) 8) (*.f64 1/347128758144000000000 (pow.f64 angle 8))))))
(.f64 (.f64 b b) (-.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 angle (.f64 angle 1/32400))) (.f64 (pow.f64 (PI.f64) 6) (.f64 1/765275040000000 (pow.f64 angle 6)))) (+.f64 (.f64 (pow.f64 (PI.f64) 4) (.f64 1/3149280000 (pow.f64 angle 4))) (.f64 (pow.f64 (PI.f64) 8) (*.f64 1/347128758144000000000 (pow.f64 angle 8))))))
(.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 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 (.f64 b b) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(.f64 b (.f64 b (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 (.f64 b b) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(.f64 b (.f64 b (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 (.f64 b b) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(.f64 b (.f64 b (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 (.f64 b b) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(.f64 b (.f64 b (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 (.f64 b b) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(.f64 b (.f64 b (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 (.f64 b b) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(.f64 b (.f64 b (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 (.f64 b b) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))
(.f64 b (.f64 b (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) b)
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) b)
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) b)
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) b)
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) b)
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) b)
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) b)
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) b)
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) b)
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) b)
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) b)
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) b)
(.f64 1/180 (.f64 angle (*.f64 (PI.f64) b)))
(.f64 (.f64 1/180 angle) (*.f64 (PI.f64) b))
(.f64 (.f64 angle (PI.f64)) (*.f64 b 1/180))
(.f64 1/180 (.f64 (PI.f64) (*.f64 angle b)))
(.f64 (PI.f64) (.f64 b (*.f64 1/180 angle)))
(-.f64 (.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 (.f64 1/180 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 (.f64 (pow.f64 angle 3) (*.f64 (pow.f64 (PI.f64) 3) b)) -1/34992000))
(.f64 b (fma.f64 1/180 (.f64 angle (PI.f64)) (.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 angle 3) -1/34992000))))
(.f64 b (fma.f64 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)) -1/34992000 (.f64 1/180 (.f64 angle (PI.f64)))))
(-.f64 (+.f64 (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (.f64 (pow.f64 (PI.f64) 5) b))) (.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 (fma.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (.f64 (pow.f64 (PI.f64) 5) b)) (.f64 (.f64 1/180 angle) (.f64 (PI.f64) b))) (.f64 -1/34992000 (.f64 (pow.f64 angle 3) (.f64 (pow.f64 (PI.f64) 3) 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 (.f64 (pow.f64 angle 3) (*.f64 (pow.f64 (PI.f64) 3) b)) -1/34992000)))
(fma.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (.f64 (pow.f64 (PI.f64) 5) b)) (.f64 b (fma.f64 1/180 (.f64 angle (PI.f64)) (.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 angle 3) -1/34992000)))))
(.f64 b (fma.f64 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)) -1/34992000 (fma.f64 1/180 (.f64 angle (PI.f64)) (.f64 1/22674816000000 (*.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5))))))
(-.f64 (+.f64 (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (.f64 (pow.f64 (PI.f64) 5) b))) (.f64 1/180 (.f64 angle (.f64 (PI.f64) b)))) (+.f64 (.f64 1/34992000 (.f64 (pow.f64 angle 3) (.f64 (pow.f64 (PI.f64) 3) b))) (.f64 1/30855889612800000000 (.f64 (pow.f64 angle 7) (.f64 (pow.f64 (PI.f64) 7) b)))))
(-.f64 (fma.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (.f64 (pow.f64 (PI.f64) 5) b)) (.f64 (.f64 1/180 angle) (.f64 (PI.f64) b))) (fma.f64 1/34992000 (.f64 (pow.f64 angle 3) (.f64 (pow.f64 (PI.f64) 3) b)) (.f64 1/30855889612800000000 (.f64 (pow.f64 angle 7) (.f64 (pow.f64 (PI.f64) 7) b)))))
(-.f64 (fma.f64 1/180 (.f64 angle (.f64 (PI.f64) b)) (.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (.f64 (pow.f64 (PI.f64) 5) b)))) (fma.f64 1/34992000 (.f64 (pow.f64 angle 3) (.f64 (pow.f64 (PI.f64) 3) b)) (.f64 1/30855889612800000000 (.f64 (pow.f64 angle 7) (.f64 (pow.f64 (PI.f64) 7) b)))))
(+.f64 (.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 (.f64 (pow.f64 angle 3) -1/34992000) (pow.f64 (PI.f64) 3) (.f64 (pow.f64 (PI.f64) 7) (.f64 (pow.f64 angle 7) -1/30855889612800000000)))))
(.f64 b (fma.f64 1/180 (.f64 angle (PI.f64)) (fma.f64 1/22674816000000 (.f64 (pow.f64 angle 5) (pow.f64 (PI.f64) 5)) (fma.f64 (pow.f64 angle 3) (.f64 (pow.f64 (PI.f64) 3) -1/34992000) (.f64 (pow.f64 (PI.f64) 7) (.f64 (pow.f64 angle 7) -1/30855889612800000000))))))
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) b)
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) b)
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) b)
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) b)
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) b)
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) b)
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) b)
(.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))
(.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) b)

prune339.0ms (2.6%)

Pruning

34 alts after pruning (33 fresh and 1 done)

	Pruned	Kept	Total
New	123	7	130
Fresh	4	26	30
Picked	0	1	1
Done	0	0	0
Total	127	34	161

Error

20.1b

Counts

161 → 34

Alt Table

Status	Error	Program
	26.5b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 b (.f64 b (pow.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) 2))))
	21.6b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b)) 2) (.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b)) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b))))
	21.6b	(+.f64 (pow.f64 (.f64 a (.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))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))
	28.0b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b) 4)) (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b)) 2)))
	38.7b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (-.f64 (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (cos.f64 1)) (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (sin.f64 1)))) 2))
	21.5b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	21.7b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (.f64 (*.f64 (PI.f64) 1/180) (pow.f64 (cbrt.f64 angle) 2)) (cbrt.f64 angle)))) 2))
	21.6b	(+.f64 (pow.f64 (.f64 a (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	31.5b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (pow.f64 (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 3) 1/3) 2))
	22.4b	(+.f64 (pow.f64 (.f64 a (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (cbrt.f64 (exp.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))
▶	21.5b	(+.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))
	23.4b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) b))
	21.8b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 3))) 2))
	23.0b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b) b) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))
	31.1b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)))
	33.0b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (cbrt.f64 (exp.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))))))) 2))
	21.6b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.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)) (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b))))
	21.5b	(+.f64 (pow.f64 (.f64 a (cos.f64 (/.f64 1 (/.f64 180 (.f64 (PI.f64) angle))))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))
	43.0b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (sqrt.f64 (/.f64 180 angle))) (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (/.f64 180 angle)))))) 2))
	31.4b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))) 1) 2))
	21.7b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (/.f64 180 angle)) 2)) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (/.f64 180 angle)))))) 2))
	27.3b	(+.f64 (pow.f64 (.f64 a (cos.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 3)))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	21.6b	(+.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))
	21.7b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (/.f64 180 angle)) 2)) (cbrt.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))))) 2))
	22.0b	(+.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))))
	27.4b	(+.f64 (pow.f64 (.f64 a (cos.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 1))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	21.8b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 180 angle))))) 2))
	28.1b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 1/180 (.f64 angle (.f64 (PI.f64) b))) 2))
	21.6b	(+.f64 (pow.f64 (.f64 a (cos.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 3))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	38.6b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 1))) 2))
	21.8b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 180) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 1 angle))))) 2))
✓	21.5b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (/.f64 (PI.f64) (/.f64 180 angle)))) 2))
	21.6b	(+.f64 (pow.f64 (.f64 a (pow.f64 (cbrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 3)) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	21.7b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 180 angle)) 2)) (/.f64 (PI.f64) (cbrt.f64 (/.f64 180 angle)))))) 2))

Compiler

Compiled 4860 to 3783 computations (22.2% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (PI.f64) (/.f64 angle 180))
✓	0.4b	(.f64 1/180 (.f64 angle (PI.f64)))
✓	26.5b	(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
	26.8b	(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))

series3.0ms (0%)

Counts

2 → 4

Calls

6 calls:

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

rewrite37.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

650×	`pow1_binary64`
598×	`add-log-exp_binary64`
598×	`log1p-expm1-u_binary64`
598×	`expm1-log1p-u_binary64`
70×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	18
1	140	18
2	1618	18

Stop Event

1×	node limit

Counts

2 → 29

Calls

Call 1

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

Outputs

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

simplify28.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

847×	`distribute-rgt-neg-in_binary64`
488×	`fma-def_binary64`
475×	`cancel-sign-sub-inv_binary64`
296×	`*-commutative_binary64`
274×	`fma-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	27	94
1	76	94
2	238	90
3	1169	88
4	4107	82

Stop Event

1×	node limit

Counts

33 → 36

Calls

Call 1

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

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

prune336.0ms (2.6%)

Pruning

36 alts after pruning (34 fresh and 2 done)

	Pruned	Kept	Total
New	89	3	92
Fresh	1	31	32
Picked	0	1	1
Done	0	1	1
Total	90	36	126

Error

20.1b

Counts

126 → 36

Alt Table

Status	Error	Program
	26.5b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 b (.f64 b (pow.f64 (sin.f64 (.f64 angle (*.f64 1/180 (PI.f64)))) 2))))
	21.6b	(+.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))
	21.6b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b)) 2) (.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b)) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b))))
	21.6b	(+.f64 (pow.f64 (.f64 a (.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))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))
	28.0b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b) 4)) (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b)) 2)))
	38.7b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (-.f64 (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (cos.f64 1)) (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (sin.f64 1)))) 2))
	21.7b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (.f64 (*.f64 (PI.f64) 1/180) (pow.f64 (cbrt.f64 angle) 2)) (cbrt.f64 angle)))) 2))
	21.6b	(+.f64 (pow.f64 (.f64 a (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	31.5b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (pow.f64 (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 3) 1/3) 2))
	22.4b	(+.f64 (pow.f64 (.f64 a (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (cbrt.f64 (exp.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))
✓	21.5b	(+.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))
	23.4b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) b))
	21.8b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 3))) 2))
	23.0b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b) b) (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))
	31.1b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)))
	33.0b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (cbrt.f64 (exp.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))))))) 2))
	21.6b	(+.f64 (pow.f64 (.f64 a 1) 2) (.f64 (.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)) (cbrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b))))
	21.5b	(+.f64 (pow.f64 (.f64 a (cos.f64 (/.f64 1 (/.f64 180 (.f64 (PI.f64) angle))))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))
	43.0b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (sqrt.f64 (/.f64 180 angle))) (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (/.f64 180 angle)))))) 2))
	31.4b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))) 1) 2))
	21.7b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (/.f64 180 angle)) 2)) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (/.f64 180 angle)))))) 2))
	27.3b	(+.f64 (pow.f64 (.f64 a (cos.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 3)))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	21.6b	(+.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))
	21.7b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (/.f64 180 angle)) 2)) (cbrt.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))))) 2))
	22.0b	(+.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))))
	27.4b	(+.f64 (pow.f64 (.f64 a (cos.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 1))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	21.8b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 180 angle))))) 2))
	28.1b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 1/180 (.f64 angle (.f64 (PI.f64) b))) 2))
	21.6b	(+.f64 (pow.f64 (.f64 a (cos.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 3))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	38.6b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 1))) 2))
	21.8b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 180) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 1 angle))))) 2))
	21.5b	(+.f64 (pow.f64 (.f64 a (log.f64 (exp.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
✓	21.5b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (/.f64 (PI.f64) (/.f64 180 angle)))) 2))
	21.6b	(+.f64 (pow.f64 (.f64 a (pow.f64 (cbrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 3)) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	21.5b	(+.f64 (pow.f64 (.f64 a (-.f64 (exp.f64 (log1p.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))))) 1)) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	21.7b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 180 angle)) 2)) (/.f64 (PI.f64) (cbrt.f64 (/.f64 180 angle)))))) 2))

Compiler

Compiled 3447 to 2573 computations (25.4% saved)

regimes1.0s (7.7%)

Accuracy

Total 1.2b remaining (5.9%)

Threshold costs 0b (0%)

Counts

179 → 1

Compiler

Compiled 4179 to 3101 computations (25.8% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
2×	`*-rgt-identity_binary64`
1×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	22
1	27	22

Stop Event

1×

saturated

Calls

Call 1

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

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

end651.0ms (4.9%)

Stop Event

1×

fuel

Compiler

Compiled 1048 to 857 computations (18.2% saved)

Details

analyze2.2s (16.4%)

sample7.4s (56.1%)

preprocess73.0ms (0.6%)

simplify50.0ms (0.4%)

prune2.0ms (0%)

localize12.0ms (0.1%)

series14.0ms (0.1%)

rewrite55.0ms (0.4%)

simplify44.0ms (0.3%)

prune375.0ms (2.8%)

localize11.0ms (0.1%)

series2.0ms (0%)

rewrite40.0ms (0.3%)

simplify40.0ms (0.3%)

prune362.0ms (2.7%)

localize10.0ms (0.1%)

series6.0ms (0%)

rewrite55.0ms (0.4%)

simplify50.0ms (0.4%)

prune339.0ms (2.6%)

localize14.0ms (0.1%)

series3.0ms (0%)

rewrite37.0ms (0.3%)

simplify28.0ms (0.2%)

prune336.0ms (2.6%)

regimes1.0s (7.7%)

simplify2.0ms (0%)

end651.0ms (4.9%)

Profiling