Details

analyze2.2s (16.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
25%	74.9%	0.1%	6
25%	74.9%	0.1%	7
25%	62.4%	12.6%	8
31.2%	56.2%	12.6%	9
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)

sample7.5s (55.4%)

Results

2.1s	1587×	body	1024	valid
1.8s	1370×	body	1024	invalid
1.2s	5249×	body	128	valid
706.0ms	810×	body	512	valid
651.0ms	709×	body	512	invalid
359.0ms	187×	body	2048	valid
216.0ms	423×	body	256	valid
203.0ms	358×	body	256	invalid
145.0ms	639×	body	128	invalid

Compiler

Compiled 50 to 40 computations (20% saved)

preprocess68.0ms (0.5%)

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)

simplify51.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 1

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

18.6b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	18.6b	(+.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))
✓	22.7b	(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
✓	22.8b	(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))

series13.0ms (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	(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
1.0ms	angle	@	0	(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))

rewrite50.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

557×	`log-prod_binary64`
298×	`prod-diff_binary64`
213×	`expm1-udef_binary64`
213×	`log1p-udef_binary64`
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
(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
(*.f64 (PI.f64) (/.f64 angle 180))
(pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2)

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

simplify42.0ms (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`
289×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	83	1058
1	244	1050
2	884	1028
3	2680	1020

Stop Event

1×	node limit

Counts

155 → 123

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

Outputs
1
(-.f64 1 (.f64 1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))))
(-.f64 1 (.f64 (.f64 1/64800 (*.f64 angle angle)) (pow.f64 (PI.f64) 2)))
(+.f64 1 (.f64 (.f64 angle (*.f64 angle (pow.f64 (PI.f64) 2))) -1/64800))
(fma.f64 (.f64 angle (.f64 angle (pow.f64 (PI.f64) 2))) -1/64800 1)
(fma.f64 (.f64 angle (.f64 angle -1/64800)) (pow.f64 (PI.f64) 2) 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 (.f64 1/25194240000 (pow.f64 angle 4)) (pow.f64 (PI.f64) 4) 1) (.f64 (.f64 angle (.f64 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) 4) (.f64 1/25194240000 (pow.f64 angle 4)) (fma.f64 (.f64 angle (*.f64 angle -1/64800)) (pow.f64 (PI.f64) 2) 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)))))
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(-.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 (pow.f64 (PI.f64) 6) (.f64 b b))) (.f64 (.f64 1/32400 (.f64 angle angle)) (.f64 (pow.f64 (PI.f64) 2) (.f64 b b)))) (fma.f64 1/3149280000 (.f64 (pow.f64 angle 4) (.f64 (pow.f64 (PI.f64) 4) (.f64 b b))) (.f64 (.f64 1/347128758144000000000 (pow.f64 angle 8)) (.f64 (*.f64 b b) (pow.f64 (PI.f64) 8)))))
(-.f64 (fma.f64 1/32400 (.f64 angle (.f64 angle (.f64 (pow.f64 (PI.f64) 2) (.f64 b b)))) (.f64 (.f64 (.f64 (pow.f64 angle 6) 1/765275040000000) (pow.f64 (PI.f64) 6)) (.f64 b b))) (fma.f64 1/3149280000 (.f64 (pow.f64 angle 4) (.f64 (pow.f64 (PI.f64) 4) (.f64 b b))) (.f64 1/347128758144000000000 (.f64 (pow.f64 angle 8) (.f64 (*.f64 b b) (pow.f64 (PI.f64) 8))))))
(+.f64 (.f64 (.f64 b b) (+.f64 (.f64 (.f64 angle (.f64 angle (pow.f64 (PI.f64) 2))) 1/32400) (.f64 (.f64 (pow.f64 angle 6) (pow.f64 (PI.f64) 6)) 1/765275040000000))) (.f64 (.f64 b b) (-.f64 (.f64 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4)) -1/3149280000) (.f64 1/347128758144000000000 (*.f64 (pow.f64 angle 8) (pow.f64 (PI.f64) 8))))))
(fma.f64 (.f64 b b) (+.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 angle (.f64 angle 1/32400))) (.f64 (.f64 (pow.f64 angle 6) (pow.f64 (PI.f64) 6)) 1/765275040000000)) (.f64 (.f64 b b) (fma.f64 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4)) -1/3149280000 (.f64 (pow.f64 (PI.f64) 8) (*.f64 (pow.f64 angle 8) -1/347128758144000000000)))))
(.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 (.f64 1/180 angle) (PI.f64))) 2))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 (.f64 1/180 angle) (PI.f64))) 2))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 (.f64 1/180 angle) (PI.f64))) 2))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 (.f64 1/180 angle) (PI.f64))) 2))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 (.f64 1/180 angle) (PI.f64))) 2))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 (.f64 1/180 angle) (PI.f64))) 2))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 (.f64 1/180 angle) (PI.f64))) 2))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2))
(.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 (.f64 1/180 angle) (PI.f64))) 2))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2))
(.f64 (.f64 b b) (pow.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 2))

prune426.0ms (3.1%)

Pruning

34 alts after pruning (34 fresh and 0 done)

	Pruned	Kept	Total
New	113	34	147
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	114	34	148

Error

17.3b

Counts

148 → 34

Alt Table

Status	Error	Program
	29.6b	(+.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))
	33.2b	(+.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))
	18.6b	(+.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))
	38.3b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (exp.f64 (.f64 2 (log.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b)))))
	18.8b	(+.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))))
	18.6b	(+.f64 (pow.f64 (.f64 a (cos.f64 (/.f64 (.f64 (PI.f64) angle) 180))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))
	29.5b	(+.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))
	18.7b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	19.6b	(+.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))))
	18.6b	(+.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))
▶	18.5b	(+.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))
	25.8b	(+.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))
	19.7b	(+.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))
	41.8b	(+.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))
	18.6b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (/.f64 1 (/.f64 180 (.f64 (PI.f64) angle))))) 2))
	21.5b	(+.f64 (pow.f64 (.f64 a (exp.f64 (log.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	22.4b	(+.f64 (pow.f64 (.f64 a (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (sin.f64 1)))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	18.6b	(+.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))
	18.6b	(+.f64 (pow.f64 (.f64 a (cbrt.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 3))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	34.2b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 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)))))))
	37.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b)) (.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b)) (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) b))))
	22.4b	(+.f64 (pow.f64 (.f64 a (cos.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	18.9b	(+.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))
	33.2b	(+.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))
	18.6b	(+.f64 (pow.f64 (.f64 a (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	33.2b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 (.f64 b b) (fma.f64 (.f64 angle (.f64 angle (pow.f64 (PI.f64) 2))) 1/32400 (.f64 (pow.f64 (PI.f64) 4) (.f64 (pow.f64 angle 4) -1/3149280000)))))
	19.1b	(+.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))))
	18.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (pow.f64 (cbrt.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 3)) 2))
	26.9b	(+.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)))
	18.8b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 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))))
	18.5b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))
	23.6b	(+.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))))
	18.7b	(+.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))
	36.8b	(+.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))

Compiler

Compiled 6285 to 4751 computations (24.4% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1 (/.f64 180 (*.f64 (PI.f64) angle)))
	0.3b	(*.f64 (PI.f64) (/.f64 angle 180))
✓	22.5b	(cos.f64 (/.f64 1 (/.f64 180 (*.f64 (PI.f64) angle))))
	22.7b	(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite42.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

814×	`log1p-expm1-u_binary64`
814×	`expm1-log1p-u_binary64`
92×	`add-sqr-sqrt_binary64`
86×	`*-un-lft-identity_binary64`
86×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	189	18
2	2284	18

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

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

Outputs

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

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

simplify32.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

848×	`distribute-rgt-neg-in_binary64`
487×	`fma-def_binary64`
475×	`cancel-sign-sub-inv_binary64`
305×	`*-commutative_binary64`
274×	`fma-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	31	270
1	84	270
2	250	266
3	1171	264
4	4105	258

Stop Event

1×	node limit

Counts

74 → 61

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)))))
(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)))

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

prune528.0ms (3.9%)

Pruning

35 alts after pruning (34 fresh and 1 done)

	Pruned	Kept	Total
New	110	7	117
Fresh	6	27	33
Picked	0	1	1
Done	0	0	0
Total	116	35	151

Error

17.3b

Counts

151 → 35

Alt Table

Status	Error	Program
	29.6b	(+.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))
	33.2b	(+.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))
	18.6b	(+.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))
	38.3b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (exp.f64 (.f64 2 (log.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b)))))
	18.8b	(+.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))))
	21.5b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 32400 (pow.f64 (.f64 (PI.f64) angle) 2))) -1) (pow.f64 (cbrt.f64 (/.f64 180 (.f64 (PI.f64) angle))) -1)))) 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 (+.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))
	18.7b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	19.6b	(+.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))))
	18.6b	(+.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))
	18.6b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) (pow.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) 2)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))
✓	18.5b	(+.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))
	25.8b	(+.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))
	19.7b	(+.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))
	41.8b	(+.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))
	21.5b	(+.f64 (pow.f64 (.f64 a (exp.f64 (log.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	22.4b	(+.f64 (pow.f64 (.f64 a (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (sin.f64 1)))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	29.5b	(+.f64 (pow.f64 (.f64 a (cos.f64 (pow.f64 (pow.f64 (.f64 (.f64 (PI.f64) angle) 1/180) 3) 1/3))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	37.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b)) (.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b)) (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) b))))
	22.4b	(+.f64 (pow.f64 (.f64 a (cos.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	18.9b	(+.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))
	33.2b	(+.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))
	25.2b	(+.f64 (pow.f64 (.f64 a (cos.f64 (/.f64 1 (/.f64 180 (.f64 (PI.f64) angle))))) 2) (pow.f64 (.f64 b (fma.f64 angle (.f64 (PI.f64) 1/180) (.f64 (pow.f64 angle 3) (.f64 (pow.f64 (PI.f64) 3) -1/34992000)))) 2))
	18.6b	(+.f64 (pow.f64 (.f64 a (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	33.2b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 (.f64 b b) (fma.f64 (.f64 angle (.f64 angle (pow.f64 (PI.f64) 2))) 1/32400 (.f64 (pow.f64 (PI.f64) 4) (.f64 (pow.f64 angle 4) -1/3149280000)))))
	18.6b	(+.f64 (pow.f64 (.f64 a (-.f64 (exp.f64 (log1p.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180)))) 1)) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	36.8b	(+.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))
	18.6b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (.f64 1/180 (pow.f64 (cbrt.f64 (.f64 (PI.f64) angle)) 2)) (cbrt.f64 (.f64 (PI.f64) angle))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	19.1b	(+.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))))
	18.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (pow.f64 (cbrt.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))) 3)) 2))
	26.9b	(+.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)))
	18.8b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 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))))
▶	18.5b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))
	23.6b	(+.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))))
	18.6b	(+.f64 (pow.f64 (.f64 a (cbrt.f64 (pow.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) 3))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))

Compiler

Compiled 5379 to 4016 computations (25.3% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 1/180 (.f64 angle (PI.f64)))
	0.3b	(*.f64 (PI.f64) (/.f64 angle 180))
✓	22.7b	(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
	22.8b	(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))

series2.0ms (0%)

Counts

2 → 4

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	angle	@	0	(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
0.0ms	angle	@	-inf	(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
0.0ms	angle	@	inf	(sin.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
(sin.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 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))) 2) (cbrt.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))) (sqrt.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))))))))

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

simplify27.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

33 → 37

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)))))

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

prune407.0ms (3%)

Pruning

33 alts after pruning (32 fresh and 1 done)

	Pruned	Kept	Total
New	87	5	92
Fresh	6	27	33
Picked	1	0	1
Done	0	1	1
Total	94	33	127

Error

17.3b

Counts

127 → 33

Alt Table

Status	Error	Program
	29.6b	(+.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))
	33.2b	(+.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))
	18.6b	(+.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))
	38.3b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (exp.f64 (.f64 2 (log.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b)))))
	18.8b	(+.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))))
	18.6b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))
	21.5b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 32400 (pow.f64 (.f64 (PI.f64) angle) 2))) -1) (pow.f64 (cbrt.f64 (/.f64 180 (.f64 (PI.f64) angle))) -1)))) 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 (+.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))
▶	18.5b	(+.f64 (pow.f64 (.f64 a (log1p.f64 (expm1.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))
	29.4b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))) 2))
	19.6b	(+.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))))
	18.6b	(+.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))
	18.6b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) (pow.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) 2)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))
✓	18.5b	(+.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))
	19.7b	(+.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))
	41.8b	(+.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))
	21.5b	(+.f64 (pow.f64 (.f64 a (exp.f64 (log.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	22.4b	(+.f64 (pow.f64 (.f64 a (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (sin.f64 1)))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	29.5b	(+.f64 (pow.f64 (.f64 a (cos.f64 (pow.f64 (pow.f64 (.f64 (.f64 (PI.f64) angle) 1/180) 3) 1/3))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	37.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b)) (.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b)) (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) b))))
	22.4b	(+.f64 (pow.f64 (.f64 a (cos.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	18.9b	(+.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))
	33.2b	(+.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))
	33.2b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 (.f64 b b) (fma.f64 (.f64 angle (.f64 angle (pow.f64 (PI.f64) 2))) 1/32400 (.f64 (pow.f64 (PI.f64) 4) (.f64 (pow.f64 angle 4) -1/3149280000)))))
	18.6b	(+.f64 (pow.f64 (.f64 a (-.f64 (exp.f64 (log1p.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180)))) 1)) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	36.8b	(+.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))
	18.6b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (.f64 1/180 (pow.f64 (cbrt.f64 (.f64 (PI.f64) angle)) 2)) (cbrt.f64 (.f64 (PI.f64) angle))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	19.1b	(+.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))))
	29.6b	(+.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 angle (*.f64 (PI.f64) 1/180)) 3)))) 2))
	18.5b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (expm1.f64 (log1p.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))) 2))
	23.6b	(+.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))))
	18.8b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 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))))
	18.6b	(+.f64 (pow.f64 (.f64 a (cbrt.f64 (pow.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) 3))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))

Compiler

Compiled 4532 to 3418 computations (24.6% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (PI.f64) (.f64 angle 1/180))
✓	0.7b	(expm1.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))
	22.7b	(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
✓	22.8b	(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))

series5.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	angle	@	0	(expm1.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))
0.0ms	angle	@	0	(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
0.0ms	angle	@	inf	(expm1.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))
0.0ms	angle	@	-inf	(expm1.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))
0.0ms	angle	@	inf	(.f64 (PI.f64) (.f64 angle 1/180))

rewrite42.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

727×	`pow1_binary64`
669×	`add-log-exp_binary64`
669×	`log1p-expm1-u_binary64`
669×	`expm1-log1p-u_binary64`
78×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	30
1	158	30
2	1814	30

Stop Event

1×	node limit

Counts

3 → 50

Calls

Call 1

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

Outputs

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

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

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

simplify30.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

819×	`fma-neg_binary64`
412×	`distribute-rgt-neg-in_binary64`
403×	`distribute-lft-neg-in_binary64`
337×	`associate-l_binary64`
332×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	53	504
1	148	494
2	483	486
3	2527	479

Stop Event

1×	node limit

Counts

86 → 71

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)))))
(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 (E.f64) 1)
(-.f64 (E.f64) (+.f64 1 (.f64 1/64800 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 (PI.f64) 2) (E.f64))))))
(-.f64 (+.f64 (E.f64) (.f64 1/6298560000 (.f64 (pow.f64 angle 4) (.f64 (pow.f64 (PI.f64) 4) (E.f64))))) (+.f64 1 (.f64 1/64800 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 (PI.f64) 2) (E.f64))))))
(-.f64 (+.f64 (E.f64) (.f64 1/6298560000 (.f64 (pow.f64 angle 4) (.f64 (pow.f64 (PI.f64) 4) (E.f64))))) (+.f64 1 (+.f64 (.f64 1/64800 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 (PI.f64) 2) (E.f64)))) (.f64 31/24488801280000000 (.f64 (pow.f64 angle 6) (*.f64 (pow.f64 (PI.f64) 6) (E.f64)))))))
(-.f64 (exp.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 1)
(-.f64 (exp.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 1)
(-.f64 (exp.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 1)
(-.f64 (exp.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 1)
(-.f64 (exp.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 1)
(-.f64 (exp.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 1)
(-.f64 (exp.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 1)
(-.f64 (exp.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 1)
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 1/180 (.f64 angle (PI.f64)))

Outputs
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 angle (*.f64 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 (pow.f64 (PI.f64) 2) -1/64800) (.f64 angle angle) 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 angle (.f64 angle (pow.f64 (PI.f64) 2))) -1/64800))
(fma.f64 (.f64 (.f64 angle 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 (.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))
(-.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 1/24488801280000000 (.f64 (pow.f64 angle 6) (pow.f64 (PI.f64) 6)) (.f64 (.f64 angle angle) (*.f64 (pow.f64 (PI.f64) 2) 1/64800))))
(+.f64 (fma.f64 1/25194240000 (.f64 (pow.f64 angle 4) (pow.f64 (PI.f64) 4)) 1) (fma.f64 (.f64 (.f64 angle angle) (pow.f64 (PI.f64) 2)) -1/64800 (.f64 (pow.f64 (PI.f64) 6) (*.f64 (pow.f64 angle 6) -1/24488801280000000))))
(+.f64 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))) (.f64 (pow.f64 angle 6) (*.f64 (pow.f64 (PI.f64) 6) -1/24488801280000000))))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
(cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
(-.f64 (E.f64) 1)
(+.f64 (E.f64) -1)
(expm1.f64 1)
(-.f64 (E.f64) (+.f64 1 (.f64 1/64800 (.f64 (pow.f64 angle 2) (*.f64 (pow.f64 (PI.f64) 2) (E.f64))))))
(-.f64 (E.f64) (+.f64 1 (.f64 1/64800 (.f64 (.f64 angle angle) (.f64 (pow.f64 (PI.f64) 2) (E.f64))))))
(+.f64 (expm1.f64 1) (.f64 -1/64800 (.f64 angle (.f64 angle (.f64 (pow.f64 (PI.f64) 2) (E.f64))))))
(-.f64 (expm1.f64 1) (.f64 (pow.f64 (PI.f64) 2) (.f64 (.f64 angle angle) (.f64 1/64800 (E.f64)))))
(+.f64 -1 (.f64 (fma.f64 (.f64 (pow.f64 (PI.f64) 2) -1/64800) (*.f64 angle angle) 1) (E.f64)))
(-.f64 (+.f64 (E.f64) (.f64 1/6298560000 (.f64 (pow.f64 angle 4) (.f64 (pow.f64 (PI.f64) 4) (E.f64))))) (+.f64 1 (.f64 1/64800 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 (PI.f64) 2) (E.f64))))))
(+.f64 (E.f64) (-.f64 (.f64 1/6298560000 (.f64 (pow.f64 angle 4) (.f64 (pow.f64 (PI.f64) 4) (E.f64)))) (+.f64 1 (.f64 1/64800 (.f64 (.f64 angle angle) (*.f64 (pow.f64 (PI.f64) 2) (E.f64)))))))
(-.f64 (fma.f64 1/6298560000 (.f64 (pow.f64 (PI.f64) 4) (.f64 (pow.f64 angle 4) (E.f64))) (E.f64)) (fma.f64 1/64800 (.f64 angle (.f64 angle (*.f64 (pow.f64 (PI.f64) 2) (E.f64)))) 1))
(-.f64 (fma.f64 (pow.f64 angle 4) (.f64 (pow.f64 (PI.f64) 4) (.f64 (E.f64) 1/6298560000)) (E.f64)) (fma.f64 1/64800 (.f64 (pow.f64 (PI.f64) 2) (.f64 angle (*.f64 angle (E.f64)))) 1))
(+.f64 (E.f64) (fma.f64 (E.f64) (fma.f64 (pow.f64 angle 4) (.f64 1/6298560000 (pow.f64 (PI.f64) 4)) (.f64 (.f64 angle angle) (.f64 (pow.f64 (PI.f64) 2) -1/64800))) -1))
(-.f64 (+.f64 (E.f64) (.f64 1/6298560000 (.f64 (pow.f64 angle 4) (.f64 (pow.f64 (PI.f64) 4) (E.f64))))) (+.f64 1 (+.f64 (.f64 1/64800 (.f64 (pow.f64 angle 2) (.f64 (pow.f64 (PI.f64) 2) (E.f64)))) (.f64 31/24488801280000000 (.f64 (pow.f64 angle 6) (*.f64 (pow.f64 (PI.f64) 6) (E.f64)))))))
(-.f64 (+.f64 (E.f64) (.f64 1/6298560000 (.f64 (pow.f64 angle 4) (.f64 (pow.f64 (PI.f64) 4) (E.f64))))) (+.f64 1 (fma.f64 1/64800 (.f64 (.f64 angle angle) (.f64 (pow.f64 (PI.f64) 2) (E.f64))) (.f64 31/24488801280000000 (.f64 (pow.f64 angle 6) (*.f64 (pow.f64 (PI.f64) 6) (E.f64)))))))
(-.f64 (+.f64 (fma.f64 1/6298560000 (.f64 (pow.f64 (PI.f64) 4) (.f64 (pow.f64 angle 4) (E.f64))) (E.f64)) -1) (fma.f64 1/64800 (.f64 angle (.f64 angle (.f64 (pow.f64 (PI.f64) 2) (E.f64)))) (.f64 (.f64 (pow.f64 (PI.f64) 6) (E.f64)) (.f64 (pow.f64 angle 6) 31/24488801280000000))))
(-.f64 (fma.f64 (.f64 (pow.f64 (PI.f64) 4) (E.f64)) (.f64 (pow.f64 angle 4) 1/6298560000) (expm1.f64 1)) (.f64 (E.f64) (+.f64 (.f64 (pow.f64 angle 6) (.f64 31/24488801280000000 (pow.f64 (PI.f64) 6))) (.f64 (.f64 angle angle) (.f64 1/64800 (pow.f64 (PI.f64) 2))))))
(-.f64 (.f64 (E.f64) (-.f64 (fma.f64 (pow.f64 angle 4) (.f64 1/6298560000 (pow.f64 (PI.f64) 4)) (.f64 (.f64 angle angle) (.f64 (pow.f64 (PI.f64) 2) -1/64800))) (.f64 (pow.f64 angle 6) (*.f64 31/24488801280000000 (pow.f64 (PI.f64) 6))))) (-.f64 1 (E.f64)))
(-.f64 (exp.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 1)
(expm1.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))))
(expm1.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))
(expm1.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))))
(-.f64 (exp.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 1)
(expm1.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))))
(expm1.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))
(expm1.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))))
(-.f64 (exp.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 1)
(expm1.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))))
(expm1.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))
(expm1.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))))
(-.f64 (exp.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 1)
(expm1.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))))
(expm1.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))
(expm1.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))))
(-.f64 (exp.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 1)
(expm1.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))))
(expm1.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))
(expm1.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))))
(-.f64 (exp.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 1)
(expm1.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))))
(expm1.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))
(expm1.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))))
(-.f64 (exp.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 1)
(expm1.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))))
(expm1.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))
(expm1.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))))
(-.f64 (exp.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 1)
(expm1.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))))
(expm1.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))
(expm1.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 angle 1/180))
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 angle 1/180))
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 angle 1/180))
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 angle 1/180))
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 angle 1/180))
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 angle 1/180))
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 angle 1/180))
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 angle 1/180))
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 angle 1/180))
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 angle 1/180))
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 angle 1/180))
(.f64 angle (.f64 (PI.f64) 1/180))
(.f64 1/180 (.f64 angle (PI.f64)))
(.f64 (PI.f64) (.f64 angle 1/180))
(.f64 angle (.f64 (PI.f64) 1/180))

prune421.0ms (3.1%)

Pruning

37 alts after pruning (36 fresh and 1 done)

	Pruned	Kept	Total
New	89	7	96
Fresh	2	29	31
Picked	1	0	1
Done	0	1	1
Total	92	37	129

Error

17.2b

Counts

129 → 37

Alt Table

Status	Error	Program
	29.6b	(+.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))
	33.2b	(+.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))
	18.6b	(+.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))
	38.3b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (exp.f64 (.f64 2 (log.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b)))))
	18.8b	(+.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))))
	18.6b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))
	21.5b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 32400 (pow.f64 (.f64 (PI.f64) angle) 2))) -1) (pow.f64 (cbrt.f64 (/.f64 180 (.f64 (PI.f64) angle))) -1)))) 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 (+.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))
	18.5b	(+.f64 (pow.f64 (.f64 a (log1p.f64 (cbrt.f64 (pow.f64 (expm1.f64 (cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))) 3)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))
	29.4b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))) 2))
	19.6b	(+.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))))
	18.6b	(+.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))
	18.5b	(+.f64 (pow.f64 (.f64 a (log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 angle (.f64 1/180 (PI.f64)))) 3))))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))
	18.6b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) (pow.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) 2)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))
✓	18.5b	(+.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))
	18.7b	(+.f64 (pow.f64 (.f64 a (log1p.f64 (sqrt.f64 (pow.f64 (expm1.f64 (cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))) 2)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))
	22.4b	(+.f64 (pow.f64 (.f64 a (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (sin.f64 1)))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	22.3b	(+.f64 (pow.f64 (.f64 a (log1p.f64 (expm1.f64 (cos.f64 (expm1.f64 (log1p.f64 (.f64 angle (.f64 1/180 (PI.f64))))))))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))
	41.8b	(+.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))
	29.5b	(+.f64 (pow.f64 (.f64 a (cos.f64 (pow.f64 (pow.f64 (.f64 (.f64 (PI.f64) angle) 1/180) 3) 1/3))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	37.9b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b)) (.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) b)) (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) b))))
	22.4b	(+.f64 (pow.f64 (.f64 a (cos.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	18.9b	(+.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))
	33.2b	(+.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))
	33.2b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 (.f64 b b) (fma.f64 (.f64 angle (.f64 angle (pow.f64 (PI.f64) 2))) 1/32400 (.f64 (pow.f64 (PI.f64) 4) (.f64 (pow.f64 angle 4) -1/3149280000)))))
	18.6b	(+.f64 (pow.f64 (.f64 a (-.f64 (exp.f64 (log1p.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180)))) 1)) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	36.8b	(+.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))
	18.6b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (.f64 1/180 (pow.f64 (cbrt.f64 (.f64 (PI.f64) angle)) 2)) (cbrt.f64 (.f64 (PI.f64) angle))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	19.1b	(+.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))))
	29.6b	(+.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 angle (*.f64 (PI.f64) 1/180)) 3)))) 2))
	41.8b	(+.f64 (pow.f64 (.f64 a (log1p.f64 (expm1.f64 (cos.f64 (pow.f64 (sqrt.f64 (.f64 angle (.f64 1/180 (PI.f64)))) 2))))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))
	18.8b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 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))))
	18.5b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (expm1.f64 (log1p.f64 (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))) 2))
	23.6b	(+.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))))
	19.1b	(+.f64 (pow.f64 (.f64 a (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) 3))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2))
	18.5b	(+.f64 (pow.f64 (.f64 a (log1p.f64 (/.f64 (-.f64 (.f64 (exp.f64 (cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))) (exp.f64 (cos.f64 (.f64 angle (.f64 1/180 (PI.f64)))))) 1) (+.f64 (exp.f64 (cos.f64 (.f64 angle (.f64 1/180 (PI.f64))))) 1)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))
	18.6b	(+.f64 (pow.f64 (.f64 a (cbrt.f64 (pow.f64 (cos.f64 (.f64 (.f64 (PI.f64) angle) 1/180)) 3))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))

Compiler

Compiled 3985 to 3001 computations (24.7% saved)

regimes783.0ms (5.8%)

Accuracy

Total 1.1b remaining (5.5%)

Threshold costs 0b (0%)

Counts

167 → 1

Compiler

Compiled 4495 to 3253 computations (27.6% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
1×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	37
1	25	37

Stop Event

1×

saturated

Calls

Call 1

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

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

end708.0ms (5.2%)

Stop Event

1×

fuel

Compiler

Compiled 1233 to 984 computations (20.2% saved)

Details

analyze2.2s (16.6%)

sample7.5s (55.4%)

preprocess68.0ms (0.5%)

simplify51.0ms (0.4%)

prune2.0ms (0%)

localize12.0ms (0.1%)

series13.0ms (0.1%)

rewrite50.0ms (0.4%)

simplify42.0ms (0.3%)

prune426.0ms (3.1%)

localize17.0ms (0.1%)

series2.0ms (0%)

rewrite42.0ms (0.3%)

simplify32.0ms (0.2%)

prune528.0ms (3.9%)

localize15.0ms (0.1%)

series2.0ms (0%)

rewrite37.0ms (0.3%)

simplify27.0ms (0.2%)

prune407.0ms (3%)

localize19.0ms (0.1%)

series5.0ms (0%)

rewrite42.0ms (0.3%)

simplify30.0ms (0.2%)

prune421.0ms (3.1%)

regimes783.0ms (5.8%)

simplify2.0ms (0%)

end708.0ms (5.2%)

Profiling