Details

analyze2.1s (15.9%)

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)

sample7.1s (55.1%)

Results

2.1s	1671×	body	1024	valid
1.7s	1379×	body	1024	invalid
1.1s	5154×	body	128	valid
682.0ms	830×	body	512	valid
605.0ms	719×	body	512	invalid
362.0ms	194×	body	2048	valid
193.0ms	402×	body	256	valid
176.0ms	334×	body	256	invalid
142.0ms	649×	body	128	invalid
28.0ms	5×	body	4096	valid

Compiler

Compiled 50 to 40 computations (20% saved)

preprocess67.0ms (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)

simplify49.0ms (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

22.2b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	22.2b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))

Compiler

Compiled 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)
✓	0.4b	(*.f64 (PI.f64) (/.f64 angle 180))
✓	25.7b	(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
✓	26.1b	(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))

series29.0ms (0.2%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
4.0ms	b	@	inf	(pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2)
4.0ms	angle	@	0	(pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2)
4.0ms	b	@	-inf	(pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2)
4.0ms	b	@	0	(pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2)
2.0ms	angle	@	inf	(pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2)

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

simplify39.0ms (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))

prune337.0ms (2.6%)

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	120	27	147
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	121	27	148

Error

21.3b

Counts

148 → 27

Alt Table

Status	Error	Program
	22.3b	(+.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))))
	33.8b	(+.f64 (pow.f64 (.f64 a (cos.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 3) 1/3))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	29.4b	(+.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))
	28.4b	(+.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)))
	22.9b	(+.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))))
	22.2b	(+.f64 (pow.f64 (.f64 a (cos.f64 (/.f64 (PI.f64) (/.f64 180 angle)))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
▶	22.2b	(+.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))
	23.4b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 b (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) b))))
	22.3b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 (PI.f64) (/.f64 180 angle)))) 2))
	26.7b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (-.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) b) 2))) 1))
	22.2b	(+.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))
	26.3b	(+.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))
	22.2b	(+.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))
	26.3b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))))) 2))
	22.2b	(+.f64 (pow.f64 (.f64 a (-.f64 (exp.f64 (log1p.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) 1)) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	22.4b	(+.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))
	23.5b	(+.f64 (pow.f64 (.f64 a (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) (cbrt.f64 (exp.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))))))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))
	26.2b	(+.f64 (pow.f64 (.f64 a (cos.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 3)))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	33.5b	(+.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))
	34.2b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 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))))))
	22.3b	(+.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))
	29.4b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (+.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)))))))) 2))
	38.8b	(+.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))
	22.5b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	26.3b	(+.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))
	31.1b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 angle 1/180) 3))))) 2))
	22.2b	(+.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))

Compiler

Compiled 5765 to 4345 computations (24.6% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 1/180 (.f64 angle (PI.f64)))
	0.4b	(*.f64 (PI.f64) (/.f64 angle 180))
✓	25.6b	(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
	26.1b	(cos.f64 (*.f64 (PI.f64) (/.f64 angle 180)))

series5.0ms (0%)

Counts

2 → 4

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	angle	@	0	(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
1.0ms	angle	@	0	(.f64 1/180 (.f64 angle (PI.f64)))
1.0ms	angle	@	inf	(.f64 1/180 (.f64 angle (PI.f64)))
1.0ms	angle	@	-inf	(.f64 1/180 (.f64 angle (PI.f64)))
0.0ms	angle	@	inf	(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))

rewrite34.0ms (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 exp.f64 (log.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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 exp.f64 (log.f64 (.f64 angle (.f64 (PI.f64) 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 angle (.f64 (PI.f64) 1/180))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 angle (.f64 (PI.f64) 1/180))))))))

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

simplify25.0ms (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))))))

prune338.0ms (2.6%)

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	87	5	92
Fresh	4	22	26
Picked	1	0	1
Done	0	0	0
Total	92	27	119

Error

21.3b

Counts

119 → 27

Alt Table

Status	Error	Program
	22.3b	(+.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))))
	33.8b	(+.f64 (pow.f64 (.f64 a (cos.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 3) 1/3))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	29.4b	(+.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))
	28.4b	(+.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)))
	38.8b	(+.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 angle (*.f64 (PI.f64) 1/180)) 3) 1/3))) 2))
	22.9b	(+.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))))
	22.2b	(+.f64 (pow.f64 (.f64 a (cos.f64 (/.f64 (PI.f64) (/.f64 180 angle)))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	22.4b	(+.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 angle (*.f64 (PI.f64) 1/180)))) 3)) 2))
	23.4b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 b (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) b))))
	22.3b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 (PI.f64) (/.f64 180 angle)))) 2))
	26.7b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (-.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) b) 2))) 1))
▶	22.2b	(+.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))
	26.3b	(+.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))
	22.2b	(+.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))
	26.3b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))))) 2))
	22.2b	(+.f64 (pow.f64 (.f64 a (-.f64 (exp.f64 (log1p.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) 1)) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	26.2b	(+.f64 (pow.f64 (.f64 a (cos.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 3)))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	33.5b	(+.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))
	34.2b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 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))))))
	22.3b	(+.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))
	27.8b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (sqrt.f64 (.f64 (pow.f64 (*.f64 angle (PI.f64)) 2) 1/32400)))) 2))
	27.2b	(+.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 angle (*.f64 (PI.f64) 1/180))) 3))) 2))
	22.5b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	26.3b	(+.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 1/180 (.f64 angle (PI.f64))))) 2))
	23.5b	(+.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))
	31.1b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 angle 1/180) 3))))) 2))
	22.2b	(+.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))

Compiler

Compiled 4094 to 3085 computations (24.6% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(.f64 1/180 (.f64 angle (PI.f64)))
	0.4b	(*.f64 (PI.f64) (/.f64 angle 180))
	25.7b	(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
✓	26.4b	(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))

series3.0ms (0%)

Counts

1 → 4

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	angle	@	0	(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
0.0ms	angle	@	inf	(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
0.0ms	angle	@	-inf	(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))

rewrite32.0ms (0.2%)

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	10
1	140	10
2	1618	10

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

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

Outputs

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

simplify26.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

21 → 24

Calls

Call 1

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

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

prune326.0ms (2.5%)

Pruning

28 alts after pruning (27 fresh and 1 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	0	26	26
Picked	0	1	1
Done	0	0	0
Total	91	28	119

Error

21.3b

Counts

119 → 28

Alt Table

Status	Error	Program
	22.3b	(+.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))))
	33.8b	(+.f64 (pow.f64 (.f64 a (cos.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 3) 1/3))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	29.4b	(+.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))
	28.4b	(+.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)))
	38.8b	(+.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 angle (*.f64 (PI.f64) 1/180)) 3) 1/3))) 2))
	22.9b	(+.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))))
	22.2b	(+.f64 (pow.f64 (.f64 a (cos.f64 (/.f64 (PI.f64) (/.f64 180 angle)))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	22.4b	(+.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 angle (*.f64 (PI.f64) 1/180)))) 3)) 2))
	23.4b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 b (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) b))))
	22.3b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 (PI.f64) (/.f64 180 angle)))) 2))
	26.7b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (-.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) b) 2))) 1))
✓	22.2b	(+.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))
	26.3b	(+.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))
	22.2b	(+.f64 (pow.f64 (.f64 a (.f64 (cbrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) (pow.f64 (cbrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180)))) 2))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))
	22.2b	(+.f64 (pow.f64 (.f64 a (pow.f64 (cbrt.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 3)) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	26.3b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))))) 2))
	22.2b	(+.f64 (pow.f64 (.f64 a (-.f64 (exp.f64 (log1p.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) 1)) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	26.2b	(+.f64 (pow.f64 (.f64 a (cos.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 angle 1/180)) 3)))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	33.5b	(+.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))
	34.2b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 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))))))
	22.3b	(+.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))
	27.8b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (sqrt.f64 (.f64 (pow.f64 (*.f64 angle (PI.f64)) 2) 1/32400)))) 2))
	27.2b	(+.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 angle (*.f64 (PI.f64) 1/180))) 3))) 2))
	22.5b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	26.3b	(+.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 1/180 (.f64 angle (PI.f64))))) 2))
	23.5b	(+.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))
	31.1b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 angle 1/180) 3))))) 2))
▶	22.2b	(+.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))

Compiler

Compiled 4119 to 3104 computations (24.6% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 (.f64 (PI.f64) (.f64 angle 1/180)))
✓	0.8b	(pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 3)
	25.7b	(sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))
✓	26.0b	(cos.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 3))

series148.0ms (1.1%)

Counts

3 → 4

Calls

9 calls:

Time	Variable		Point	Expression
54.0ms	angle	@	-inf	(cos.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 3))
31.0ms	angle	@	0	(cos.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 3))
19.0ms	angle	@	-inf	(pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 3)
16.0ms	angle	@	inf	(cos.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 angle 1/180))) 3))
10.0ms	angle	@	-inf	(cbrt.f64 (.f64 (PI.f64) (.f64 angle 1/180)))

rewrite44.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

829×	`pow1_binary64`
775×	`log1p-expm1-u_binary64`
775×	`expm1-log1p-u_binary64`
91×	`add-sqr-sqrt_binary64`
86×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	210	28
2	2149	28

Stop Event

1×	node limit

Counts

3 → 83

Calls

Call 1

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

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	4
1	4	4

Stop Event

1×

saturated

Counts

87 → 84

Calls

Call 1

Inputs
1
1
1
1

Outputs
1
1
1
1

prune415.0ms (3.2%)

Pruning

33 alts after pruning (31 fresh and 2 done)

	Pruned	Kept	Total
New	106	10	116
Fresh	5	21	26
Picked	0	1	1
Done	0	1	1
Total	111	33	144

Error

21.0b

Counts

144 → 33

Alt Table

Status	Error	Program
	22.3b	(+.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))))
	29.4b	(+.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))
	28.4b	(+.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)))
	38.8b	(+.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 angle (*.f64 (PI.f64) 1/180)) 3) 1/3))) 2))
	22.9b	(+.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))))
	22.4b	(+.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 angle (*.f64 (PI.f64) 1/180)))) 3)) 2))
	23.4b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (.f64 (sin.f64 (.f64 (PI.f64) (.f64 angle 1/180))) (.f64 b (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) b))))
	22.3b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 (PI.f64) (/.f64 180 angle)))) 2))
	42.5b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (pow.f64 (pow.f64 (.f64 angle (.f64 1/180 (PI.f64))) 1/6) 3) (pow.f64 (pow.f64 (.f64 angle (.f64 1/180 (PI.f64))) 1/6) 3)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))
	26.7b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (-.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) (*.f64 angle 1/180))) b) 2))) 1))
✓	22.2b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	22.5b	(+.f64 (pow.f64 (.f64 a 1) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	42.5b	(+.f64 (pow.f64 (.f64 a (cos.f64 (pow.f64 (exp.f64 (.f64 (log.f64 (.f64 angle (.f64 1/180 (PI.f64)))) 1/3)) 3))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))
	42.5b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (pow.f64 (.f64 angle (.f64 1/180 (PI.f64))) 1/6) (.f64 (pow.f64 (.f64 angle (.f64 1/180 (PI.f64))) 1/6) (pow.f64 (cbrt.f64 (.f64 angle (.f64 1/180 (PI.f64)))) 2))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	42.6b	(+.f64 (pow.f64 (.f64 a (cos.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 angle (.f64 1/180 (PI.f64))) 1/6) 2) 3))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	22.2b	(+.f64 (pow.f64 (.f64 a (pow.f64 (cbrt.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 3)) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	26.3b	(+.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))
	26.3b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) (*.f64 angle 1/180)))))) 2))
	22.2b	(+.f64 (pow.f64 (.f64 a (-.f64 (exp.f64 (log1p.f64 (cos.f64 (.f64 (PI.f64) (.f64 angle 1/180))))) 1)) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	22.2b	(+.f64 (pow.f64 (.f64 a (cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 angle (.f64 1/180 (PI.f64))))) 3) 3))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	22.2b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 angle (.f64 1/180 (PI.f64))))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 angle (.f64 1/180 (PI.f64))))) (pow.f64 (cbrt.f64 (.f64 angle (.f64 1/180 (PI.f64)))) 2))))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	22.3b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 (cbrt.f64 (PI.f64)) (.f64 angle 1/180))))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))
	26.3b	(+.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 1/180 (.f64 angle (PI.f64))))) 2))
	31.1b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 angle 1/180) 3))))) 2))
	22.2b	(+.f64 (pow.f64 (.f64 a (cos.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) angle)) (cbrt.f64 1/180)) 3))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))
	33.5b	(+.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))
	34.2b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 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))))))
✓	22.2b	(+.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))
	22.2b	(+.f64 (pow.f64 (.f64 a (cos.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 angle (.f64 1/180 (PI.f64))))) (pow.f64 (pow.f64 (cbrt.f64 (.f64 angle (.f64 1/180 (PI.f64)))) 2) 1/3)) 3))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2))
	22.3b	(+.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))
	27.8b	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle 180)))) 2) (pow.f64 (.f64 b (sin.f64 (sqrt.f64 (.f64 (pow.f64 (*.f64 angle (PI.f64)) 2) 1/32400)))) 2))
	27.2b	(+.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 angle (*.f64 (PI.f64) 1/180))) 3))) 2))
	42.5b	(+.f64 (pow.f64 (.f64 a (cos.f64 (pow.f64 (.f64 (pow.f64 (.f64 (PI.f64) angle) 1/3) (cbrt.f64 1/180)) 3))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle 180)))) 2))

Compiler

Compiled 4322 to 3313 computations (23.3% saved)

regimes1.1s (8.2%)

Accuracy

Total 1.4b remaining (6.8%)

Threshold costs 0b (0%)

Counts

136 → 1

Compiler

Compiled 24718 to 19866 computations (19.6% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	37
1	28	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 1/180 (*.f64 angle (PI.f64))))) 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 1/180 (*.f64 angle (PI.f64))))) 2))

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

end651.0ms (5%)

Stop Event

1×

fuel

Compiler

Compiled 1089 to 877 computations (19.5% saved)

Details

analyze2.1s (15.9%)

sample7.1s (55.1%)

preprocess67.0ms (0.5%)

simplify49.0ms (0.4%)

prune2.0ms (0%)

localize12.0ms (0.1%)

series29.0ms (0.2%)

rewrite50.0ms (0.4%)

simplify39.0ms (0.3%)

prune337.0ms (2.6%)

localize14.0ms (0.1%)

series5.0ms (0%)

rewrite34.0ms (0.3%)

simplify25.0ms (0.2%)

prune338.0ms (2.6%)

localize14.0ms (0.1%)

series3.0ms (0%)

rewrite32.0ms (0.2%)

simplify26.0ms (0.2%)

prune326.0ms (2.5%)

localize17.0ms (0.1%)

series148.0ms (1.1%)

rewrite44.0ms (0.3%)

simplify8.0ms (0.1%)

prune415.0ms (3.2%)

regimes1.1s (8.2%)

simplify2.0ms (0%)

end651.0ms (5%)

Profiling