Details

analyze576.0ms (3.2%)

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
0%	99.9%	0.1%	6
6.2%	93.6%	0.1%	7
9.4%	90.5%	0.1%	8
14%	85.8%	0.1%	9
16.4%	83.5%	0.1%	10
19.1%	80.7%	0.1%	11
20.5%	79.4%	0.1%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample3.7s (20.5%)

Results

2.1s	3582×	body	1024	valid
677.0ms	1394×	body	512	valid
662.0ms	3081×	body	256	valid
205.0ms	199×	body	2048	valid

preprocess19.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

12×	`*-commutative_binary64`
8×	`associate-/l*_binary64`
8×	`associate-/r/_binary64`
3×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	56
1	39	56
2	53	56
3	65	56
4	69	56
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 a (sin.f64 b)) (cos.f64 (+.f64 r b)))
(/.f64 (*.f64 b (sin.f64 r)) (cos.f64 (+.f64 a r)))
(/.f64 (*.f64 r (sin.f64 a)) (cos.f64 (+.f64 b a)))

Outputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 a (sin.f64 b)) (cos.f64 (+.f64 r b)))
(/.f64 a (/.f64 (cos.f64 (+.f64 r b)) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 r b)) a))
(/.f64 (*.f64 b (sin.f64 r)) (cos.f64 (+.f64 a r)))
(/.f64 b (/.f64 (cos.f64 (+.f64 r a)) (sin.f64 r)))
(/.f64 (sin.f64 r) (/.f64 (cos.f64 (+.f64 r a)) b))
(/.f64 (*.f64 r (sin.f64 a)) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (sin.f64 a) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 a) (cos.f64 (+.f64 b a))))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	13	14
2	17	14
3	20	14
4	21	14

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))

Outputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))

eval1.0ms (0%)

Compiler: Compiled 21 to 11 computations (47.6% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

13.6b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	13.6b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 r (sin.f64 b))
✓	0.2b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
✓	3.5b	(cos.f64 (+.f64 b a))

Compiler

Compiled 28 to 8 computations (71.4% saved)

series15.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	r	@	0	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
1.0ms	b	@	inf	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
1.0ms	b	@	0	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
1.0ms	a	@	0	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
1.0ms	a	@	inf	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))

rewrite94.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

592×	`prod-diff_binary64`
556×	`log-prod_binary64`
344×	`pow-prod-down_binary64`
288×	`pow2_binary64`
211×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	200	26
2	2938	26

Stop Event

1×	node limit

Counts

3 → 133

Calls

Call 1

Inputs
(cos.f64 (+.f64 b a))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(*.f64 r (sin.f64 b))

Outputs
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Outputs

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

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

simplify64.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

768×	`associate-r_binary64`
753×	`fma-def_binary64`
723×	`associate-l_binary64`
372×	`times-frac_binary64`
327×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	141	1383
1	456	1333
2	1533	1282

Stop Event

1×	node limit

Counts

217 → 179

Calls

Call 1

Inputs
(cos.f64 a)
(+.f64 (cos.f64 a) (.f64 -1 (.f64 (sin.f64 a) b)))
(+.f64 (cos.f64 a) (+.f64 (.f64 -1 (.f64 (sin.f64 a) b)) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))))
(+.f64 (cos.f64 a) (+.f64 (.f64 -1 (.f64 (sin.f64 a) b)) (+.f64 (.f64 1/6 (.f64 (sin.f64 a) (pow.f64 b 3))) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2))))))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(cos.f64 b)
(+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (cos.f64 b))
(+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (+.f64 (.f64 1/6 (.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b))))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 4))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (.f64 1/6 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 r b)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (+.f64 (.f64 r b) (.f64 1/120 (*.f64 (pow.f64 b 5) r))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 b 7) r)) (+.f64 (.f64 r b) (.f64 1/120 (*.f64 (pow.f64 b 5) r)))))
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)

Outputs
(cos.f64 a)
(+.f64 (cos.f64 a) (.f64 -1 (.f64 (sin.f64 a) b)))
(+.f64 (cos.f64 a) (neg.f64 (*.f64 (sin.f64 a) b)))
(-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b))
(+.f64 (cos.f64 a) (+.f64 (.f64 -1 (.f64 (sin.f64 a) b)) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))))
(+.f64 (cos.f64 a) (fma.f64 -1 (.f64 (sin.f64 a) b) (.f64 -1/2 (.f64 (cos.f64 a) (.f64 b b)))))
(+.f64 (-.f64 (cos.f64 a) (.f64 (sin.f64 a) b)) (.f64 (cos.f64 a) (.f64 (.f64 b b) -1/2)))
(+.f64 (cos.f64 a) (.f64 b (-.f64 (.f64 (cos.f64 a) (*.f64 -1/2 b)) (sin.f64 a))))
(+.f64 (cos.f64 a) (+.f64 (.f64 -1 (.f64 (sin.f64 a) b)) (+.f64 (.f64 1/6 (.f64 (sin.f64 a) (pow.f64 b 3))) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2))))))
(+.f64 (cos.f64 a) (fma.f64 -1 (.f64 (sin.f64 a) b) (fma.f64 1/6 (.f64 (sin.f64 a) (pow.f64 b 3)) (.f64 -1/2 (.f64 (cos.f64 a) (*.f64 b b))))))
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(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 r b)
(*.f64 b r)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b))
(fma.f64 -1/6 (.f64 (pow.f64 b 3) r) (.f64 b r))
(.f64 r (+.f64 (.f64 (pow.f64 b 3) -1/6) b))
(*.f64 r (fma.f64 (pow.f64 b 3) -1/6 b))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (+.f64 (.f64 r b) (.f64 1/120 (*.f64 (pow.f64 b 5) r))))
(fma.f64 -1/6 (.f64 (pow.f64 b 3) r) (fma.f64 r b (.f64 1/120 (*.f64 r (pow.f64 b 5)))))
(fma.f64 -1/6 (.f64 (pow.f64 b 3) r) (.f64 r (+.f64 b (*.f64 1/120 (pow.f64 b 5)))))
(.f64 r (+.f64 (.f64 (pow.f64 b 3) -1/6) (fma.f64 1/120 (pow.f64 b 5) b)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 b 7) r)) (+.f64 (.f64 r b) (.f64 1/120 (*.f64 (pow.f64 b 5) r)))))
(fma.f64 -1/6 (.f64 (pow.f64 b 3) r) (fma.f64 -1/5040 (.f64 r (pow.f64 b 7)) (fma.f64 r b (.f64 1/120 (.f64 r (pow.f64 b 5))))))
(fma.f64 -1/6 (.f64 (pow.f64 b 3) r) (fma.f64 -1/5040 (.f64 r (pow.f64 b 7)) (.f64 r (+.f64 b (.f64 1/120 (pow.f64 b 5))))))
(.f64 r (+.f64 (fma.f64 1/120 (pow.f64 b 5) b) (fma.f64 (pow.f64 b 3) -1/6 (.f64 -1/5040 (pow.f64 b 7)))))
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)

eval57.0ms (0.3%)

Compiler: Compiled 4031 to 1218 computations (69.8% saved)

prune98.0ms (0.5%)

Pruning

46 alts after pruning (46 fresh and 0 done)

	Pruned	Kept	Total
New	133	46	179
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	134	46	180

Error

0.1b

Counts

180 → 46

Alt Table

Click to see full alt table

Status	Error	Program
	14.1b	(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3))
	0.4b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (cbrt.f64 (pow.f64 (sin.f64 b) 2))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a))) (cbrt.f64 (pow.f64 (sin.f64 b) 2)) (.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (cbrt.f64 (pow.f64 (sin.f64 b) 2))))))
	23.2b	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sqrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (sqrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	27.1b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
	42.0b	(sqrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -2))
	40.2b	(/.f64 (sqrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2)) (cos.f64 (+.f64 b a)))
	13.6b	(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
	34.2b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) 2) (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 (.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b))))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a))) (sqrt.f64 (sin.f64 b)) (.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b))))))
▶	29.9b	(/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b)) (cos.f64 (+.f64 b a)))
	35.8b	(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
	0.9b	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) 2) (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	0.5b	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) 3) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) 2) (+.f64 (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 2) (.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))))))
	22.2b	(/.f64 (expm1.f64 (log1p.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
	13.7b	(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))
	36.8b	(exp.f64 (log.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))
	13.7b	(.f64 r (.f64 (sin.f64 b) (/.f64 1 (cos.f64 (+.f64 b a)))))
	27.3b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (fma.f64 -1/2 (.f64 a a) 1) (cos.f64 b)) (.f64 a (sin.f64 b))))
	14.3b	(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (+.f64 b a)))
	23.3b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (sqrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (sqrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a)))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) 2) (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) 2)))))
	33.9b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b))))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a))) (sqrt.f64 (sin.f64 b)) (.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b))))))
	29.4b	(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
	25.2b	(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
	47.1b	(pow.f64 (/.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) (pow.f64 (cos.f64 (+.f64 b a)) 3)) 1/3)
	13.7b	(/.f64 (*.f64 r (sin.f64 b)) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a)))))
	25.2b	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
▶	29.3b	(*.f64 (/.f64 r (cos.f64 a)) b)
	45.3b	(/.f64 (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) 1/3) (cos.f64 (+.f64 b a)))
	28.7b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (.f64 b (-.f64 (.f64 (cos.f64 a) (.f64 -1/2 b)) (sin.f64 a)))))
	35.2b	(pow.f64 (sqrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 2)
	13.7b	(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
▶	0.3b	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
▶	53.9b	(/.f64 (log.f64 (pow.f64 (exp.f64 r) (sin.f64 b))) (cos.f64 (+.f64 b a)))
	14.3b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 3)
	13.8b	(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 b a)))) 1))
	29.3b	(/.f64 (*.f64 b r) (cos.f64 a))
	26.9b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (.f64 a (sin.f64 b))))
	0.4b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
	1.0b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) 2) (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (cbrt.f64 (pow.f64 (sin.f64 b) 2))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a))) (cbrt.f64 (pow.f64 (sin.f64 b) 2)) (.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (cbrt.f64 (pow.f64 (sin.f64 b) 2))))))
	13.6b	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
▶	28.0b	(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))
	44.9b	(/.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 r (sin.f64 b)))) 1) (cos.f64 (+.f64 b a)))
	52.6b	(log.f64 (exp.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))
	47.1b	(pow.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 3) 1/3)
	13.7b	(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -1)
	28.4b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 (sin.f64 a) b)))
	14.0b	(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 b a))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 b a)))))))

Compiler

Compiled 1912 to 1134 computations (40.7% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 r (sin.f64 b))
✓	0.1b	(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
✓	0.2b	(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
✓	0.2b	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))

Compiler

Compiled 54 to 12 computations (77.8% saved)

series22.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
4.0ms	a	@	0	(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
4.0ms	r	@	0	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
2.0ms	b	@	inf	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
2.0ms	a	@	inf	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
1.0ms	a	@	-inf	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))

rewrite143.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

674×	`log-prod_binary64`
333×	`pow2_binary64`
308×	`prod-diff_binary64`
262×	`pow-unpow_binary64`
236×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	54
1	267	48
2	3575	28

Stop Event

1×	node limit

Counts

3 → 229

Calls

Call 1

Inputs

(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))

(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))

(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 r (.f64 (sin.f64 b) (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 r (sin.f64 b)) (/.f64 1 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 r (sin.f64 b)) (/.f64 1 (neg.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 r (sin.f64 b))) 2) (.f64 (cbrt.f64 (.f64 r (sin.f64 b))) (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))) 2) (cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 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Outputs

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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (pow.f64 (exp.f64 (sin.f64 a)) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (+.f64 1 (expm1.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 (sin.f64 a)) (sin.f64 b)) (exp.f64 (*.f64 (cos.f64 b) (cos.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) (exp.f64 (*.f64 (cos.f64 b) (cos.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (+.f64 1 (expm1.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 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simplify106.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

941×	`fma-def_binary64`
632×	`associate-l_binary64`
615×	`associate-r_binary64`
356×	`times-frac_binary64`
315×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	146	2131
1	474	2036
2	1597	1960

Stop Event

1×	node limit

Counts

313 → 281

Calls

Call 1

Inputs
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 4))))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (.f64 1/6 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(.f64 -1 (.f64 (sin.f64 a) b))
(+.f64 (.f64 1/6 (.f64 (sin.f64 a) (pow.f64 b 3))) (.f64 -1 (.f64 (sin.f64 a) b)))
(+.f64 (.f64 1/6 (.f64 (sin.f64 a) (pow.f64 b 3))) (+.f64 (.f64 -1 (.f64 (sin.f64 a) b)) (.f64 -1/120 (.f64 (sin.f64 a) (pow.f64 b 5)))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 a) (pow.f64 b 3))) (+.f64 (.f64 -1 (.f64 (sin.f64 a) b)) (+.f64 (.f64 1/5040 (.f64 (sin.f64 a) (pow.f64 b 7))) (.f64 -1/120 (.f64 (sin.f64 a) (pow.f64 b 5))))))
(.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))
(.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))
(.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))
(.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))
(.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))
(.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))
(.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))
(.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))
(.f64 -1 (.f64 (sin.f64 b) a))
(+.f64 (.f64 1/6 (.f64 (sin.f64 b) (pow.f64 a 3))) (.f64 -1 (.f64 (sin.f64 b) a)))
(+.f64 (.f64 1/6 (.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (.f64 -1/120 (.f64 (sin.f64 b) (pow.f64 a 5)))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (+.f64 (.f64 -1/120 (.f64 (sin.f64 b) (pow.f64 a 5))) (.f64 1/5040 (.f64 (sin.f64 b) (pow.f64 a 7))))))
(.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))
(.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))
(.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))
(.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))
(.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))
(.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))
(.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))
(.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))
(cos.f64 a)
(+.f64 (cos.f64 a) (.f64 -1 (.f64 (sin.f64 a) b)))
(+.f64 (cos.f64 a) (+.f64 (.f64 -1 (.f64 (sin.f64 a) b)) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))))
(+.f64 (cos.f64 a) (+.f64 (.f64 -1 (.f64 (sin.f64 a) b)) (+.f64 (.f64 1/6 (.f64 (sin.f64 a) (pow.f64 b 3))) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2))))))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(cos.f64 b)
(+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (cos.f64 b))
(+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (+.f64 (.f64 1/6 (.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b))))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))

Outputs
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 -1 (.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 -1 (.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 -1 (.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 -1 (.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 -1 (.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 -1 (.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 -1 (.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 -1 (.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 -1 (.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 -1 (.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 -1 (.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 -1 (.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 r (/.f64 (cos.f64 a) b))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 b (/.f64 (cos.f64 a) r)) (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (.f64 r (.f64 b b)))))
(+.f64 (.f64 (/.f64 r (cos.f64 a)) b) (/.f64 (.f64 r (.f64 (sin.f64 a) (.f64 b b))) (pow.f64 (cos.f64 a) 2)))
(fma.f64 (/.f64 r (cos.f64 a)) b (.f64 (/.f64 (.f64 b (*.f64 b r)) (pow.f64 (cos.f64 a) 2)) (sin.f64 a)))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (.f64 r (.f64 b b)))) (+.f64 (/.f64 b (/.f64 (cos.f64 a) r)) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (fma.f64 -1/2 (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (/.f64 (pow.f64 (cos.f64 a) 3) r))))))))
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(+.f64 (.f64 1/6 (.f64 (sin.f64 a) (pow.f64 b 3))) (+.f64 (.f64 -1 (.f64 (sin.f64 a) b)) (+.f64 (.f64 1/5040 (.f64 (sin.f64 a) (pow.f64 b 7))) (.f64 -1/120 (.f64 (sin.f64 a) (pow.f64 b 5))))))
(fma.f64 1/6 (.f64 (sin.f64 a) (pow.f64 b 3)) (fma.f64 -1 (.f64 b (sin.f64 a)) (fma.f64 1/5040 (.f64 (sin.f64 a) (pow.f64 b 7)) (.f64 (*.f64 -1/120 (sin.f64 a)) (pow.f64 b 5)))))
(fma.f64 1/6 (.f64 (sin.f64 a) (pow.f64 b 3)) (-.f64 (fma.f64 1/5040 (.f64 (sin.f64 a) (pow.f64 b 7)) (.f64 (sin.f64 a) (.f64 (pow.f64 b 5) -1/120))) (*.f64 b (sin.f64 a))))
(+.f64 (.f64 (sin.f64 a) (-.f64 (.f64 1/6 (pow.f64 b 3)) b)) (.f64 (sin.f64 a) (+.f64 (.f64 (pow.f64 b 5) -1/120) (*.f64 (pow.f64 b 7) 1/5040))))
(.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))
(neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
(.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))
(neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
(.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))
(neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
(.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))
(neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
(.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))
(neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
(.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))
(neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
(.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))
(neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
(.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))
(neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
(.f64 -1 (.f64 (sin.f64 b) a))
(neg.f64 (*.f64 (sin.f64 b) a))
(*.f64 (sin.f64 b) (neg.f64 a))
(+.f64 (.f64 1/6 (.f64 (sin.f64 b) (pow.f64 a 3))) (.f64 -1 (.f64 (sin.f64 b) a)))
(fma.f64 1/6 (.f64 (sin.f64 b) (pow.f64 a 3)) (neg.f64 (.f64 (sin.f64 b) a)))
(-.f64 (.f64 (sin.f64 b) (.f64 (pow.f64 a 3) 1/6)) (*.f64 (sin.f64 b) a))
(.f64 (sin.f64 b) (-.f64 (.f64 1/6 (pow.f64 a 3)) a))
(+.f64 (.f64 1/6 (.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (.f64 -1/120 (.f64 (sin.f64 b) (pow.f64 a 5)))))
(fma.f64 1/6 (.f64 (sin.f64 b) (pow.f64 a 3)) (fma.f64 -1 (.f64 (sin.f64 b) a) (.f64 -1/120 (.f64 (sin.f64 b) (pow.f64 a 5)))))
(fma.f64 1/6 (.f64 (sin.f64 b) (pow.f64 a 3)) (-.f64 (.f64 (sin.f64 b) (.f64 (pow.f64 a 5) -1/120)) (.f64 (sin.f64 b) a)))
(fma.f64 (sin.f64 b) (.f64 (pow.f64 a 3) 1/6) (.f64 (sin.f64 b) (-.f64 (*.f64 -1/120 (pow.f64 a 5)) a)))
(+.f64 (.f64 1/6 (.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (+.f64 (.f64 -1/120 (.f64 (sin.f64 b) (pow.f64 a 5))) (.f64 1/5040 (.f64 (sin.f64 b) (pow.f64 a 7))))))
(fma.f64 1/6 (.f64 (sin.f64 b) (pow.f64 a 3)) (fma.f64 -1 (.f64 (sin.f64 b) a) (fma.f64 -1/120 (.f64 (sin.f64 b) (pow.f64 a 5)) (.f64 1/5040 (*.f64 (sin.f64 b) (pow.f64 a 7))))))
(fma.f64 1/6 (.f64 (sin.f64 b) (pow.f64 a 3)) (-.f64 (fma.f64 -1/120 (.f64 (sin.f64 b) (pow.f64 a 5)) (.f64 (pow.f64 a 7) (.f64 (sin.f64 b) 1/5040))) (*.f64 (sin.f64 b) a)))
(+.f64 (.f64 (sin.f64 b) (-.f64 (.f64 1/6 (pow.f64 a 3)) a)) (.f64 (sin.f64 b) (+.f64 (.f64 -1/120 (pow.f64 a 5)) (*.f64 1/5040 (pow.f64 a 7)))))
(.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))
(neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
(.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))
(neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
(.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))
(neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
(.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))
(neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
(.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))
(neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
(.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))
(neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
(.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))
(neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
(.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))
(neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
(cos.f64 a)
(+.f64 (cos.f64 a) (.f64 -1 (.f64 (sin.f64 a) b)))
(+.f64 (cos.f64 a) (neg.f64 (*.f64 b (sin.f64 a))))
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))
(fma.f64 (sin.f64 a) (neg.f64 b) (cos.f64 a))
(+.f64 (cos.f64 a) (+.f64 (.f64 -1 (.f64 (sin.f64 a) b)) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))))
(+.f64 (cos.f64 a) (fma.f64 -1 (.f64 b (sin.f64 a)) (.f64 -1/2 (.f64 (cos.f64 a) (.f64 b b)))))
(+.f64 (cos.f64 a) (-.f64 (.f64 (cos.f64 a) (.f64 (.f64 b b) -1/2)) (.f64 b (sin.f64 a))))
(+.f64 (cos.f64 a) (.f64 b (-.f64 (.f64 (cos.f64 a) (*.f64 -1/2 b)) (sin.f64 a))))
(+.f64 (cos.f64 a) (+.f64 (.f64 -1 (.f64 (sin.f64 a) b)) (+.f64 (.f64 1/6 (.f64 (sin.f64 a) (pow.f64 b 3))) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2))))))
(+.f64 (cos.f64 a) (fma.f64 -1 (.f64 b (sin.f64 a)) (fma.f64 1/6 (.f64 (sin.f64 a) (pow.f64 b 3)) (.f64 -1/2 (.f64 (cos.f64 a) (*.f64 b b))))))
(+.f64 (-.f64 (cos.f64 a) (.f64 b (sin.f64 a))) (fma.f64 -1/2 (.f64 b (.f64 b (cos.f64 a))) (.f64 (sin.f64 a) (*.f64 (pow.f64 b 3) 1/6))))
(+.f64 (cos.f64 a) (fma.f64 (cos.f64 a) (.f64 b (.f64 b -1/2)) (.f64 (sin.f64 a) (-.f64 (.f64 1/6 (pow.f64 b 3)) b))))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 -1 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 -1 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 -1 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 -1 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 -1 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 -1 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 -1 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 -1 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(cos.f64 b)
(+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (cos.f64 b))
(fma.f64 -1 (*.f64 (sin.f64 b) a) (cos.f64 b))
(fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))
(fma.f64 (sin.f64 b) (neg.f64 a) (cos.f64 b))
(+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b)))
(fma.f64 -1 (.f64 (sin.f64 b) a) (fma.f64 -1/2 (.f64 (cos.f64 b) (*.f64 a a)) (cos.f64 b)))
(-.f64 (fma.f64 -1/2 (.f64 (cos.f64 b) (.f64 a a)) (cos.f64 b)) (*.f64 (sin.f64 b) a))
(-.f64 (.f64 (fma.f64 -1/2 (.f64 a a) 1) (cos.f64 b)) (*.f64 (sin.f64 b) a))
(+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (+.f64 (.f64 1/6 (.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b))))
(fma.f64 -1 (.f64 (sin.f64 b) a) (fma.f64 1/6 (.f64 (sin.f64 b) (pow.f64 a 3)) (fma.f64 -1/2 (.f64 (cos.f64 b) (.f64 a a)) (cos.f64 b))))
(-.f64 (fma.f64 1/6 (.f64 (sin.f64 b) (pow.f64 a 3)) (fma.f64 -1/2 (.f64 (cos.f64 b) (.f64 a a)) (cos.f64 b))) (.f64 (sin.f64 b) a))
(fma.f64 (fma.f64 -1/2 (.f64 a a) 1) (cos.f64 b) (.f64 (sin.f64 b) (-.f64 (*.f64 1/6 (pow.f64 a 3)) a)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 -1 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 -1 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 -1 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 -1 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 -1 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 -1 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 -1 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 -1 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 r (cos.f64 a))
✓	0.1b	(*.f64 (/.f64 r (cos.f64 a)) b)

Compiler

Compiled 18 to 6 computations (66.7% saved)

series10.0ms (0.1%)

Counts

2 → 40

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(*.f64 (/.f64 r (cos.f64 a)) b)
1.0ms	r	@	0	(*.f64 (/.f64 r (cos.f64 a)) b)
1.0ms	a	@	inf	(*.f64 (/.f64 r (cos.f64 a)) b)
1.0ms	b	@	0	(*.f64 (/.f64 r (cos.f64 a)) b)
1.0ms	a	@	0	(/.f64 r (cos.f64 a))

rewrite218.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

777×	`pow1_binary64`
715×	`add-log-exp_binary64`
715×	`log1p-expm1-u_binary64`
715×	`expm1-log1p-u_binary64`
698×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	144	15
2	1899	15

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

Inputs
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 r (cos.f64 a))

Outputs

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

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

simplify53.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

649×	`distribute-rgt-in_binary64`
602×	`distribute-lft-in_binary64`
562×	`fma-def_binary64`
540×	`distribute-lft-neg-in_binary64`
537×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	512
1	210	470
2	851	448
3	4221	437

Stop Event

1×	node limit

Counts

94 → 70

Calls

Call 1

Inputs
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 r b)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 r b))) (.f64 r b))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 r b))) (+.f64 (.f64 r b) (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 -1/4 (.f64 b r)) (.f64 1/24 (.f64 r b)))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 r b))) (+.f64 (.f64 r b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 6) (+.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (.f64 b r)) (.f64 1/24 (.f64 r b)))) (+.f64 (.f64 -1/720 (.f64 r b)) (.f64 1/48 (.f64 b r)))))) (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 -1/4 (.f64 b r)) (.f64 1/24 (*.f64 r b))))))))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
r
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) r)) r)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) r)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 -1/4 r) (.f64 1/24 r)))) r))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) r)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 -1/4 r) (.f64 1/24 r)))) (+.f64 r (.f64 -1 (.f64 (pow.f64 a 6) (+.f64 (.f64 -1/720 r) (+.f64 (.f64 1/48 r) (.f64 1/2 (+.f64 (.f64 -1/4 r) (*.f64 1/24 r))))))))))

Outputs
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r b)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 r b))) (.f64 r b))
(fma.f64 1/2 (.f64 (.f64 r b) (.f64 a a)) (.f64 r b))
(.f64 (+.f64 (.f64 1/2 (.f64 a a)) 1) (.f64 r b))
(.f64 (.f64 r b) (fma.f64 1/2 (*.f64 a a) 1))
(.f64 r (.f64 (fma.f64 1/2 (*.f64 a a) 1) b))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 r b))) (+.f64 (.f64 r b) (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 -1/4 (.f64 b r)) (.f64 1/24 (.f64 r b)))))))
(fma.f64 1/2 (.f64 (.f64 r b) (.f64 a a)) (fma.f64 r b (neg.f64 (.f64 (pow.f64 a 4) (fma.f64 -1/4 (.f64 r b) (.f64 (*.f64 r b) 1/24))))))
(-.f64 (.f64 (+.f64 (.f64 1/2 (.f64 a a)) 1) (.f64 r b)) (.f64 (pow.f64 a 4) (.f64 (*.f64 r b) -5/24)))
(fma.f64 (pow.f64 a 4) (.f64 (.f64 r b) 5/24) (.f64 (.f64 r b) (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 (.f64 r b) (-.f64 (fma.f64 1/2 (.f64 a a) 1) (.f64 (pow.f64 a 4) -5/24)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 r b))) (+.f64 (.f64 r b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 6) (+.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (.f64 b r)) (.f64 1/24 (.f64 r b)))) (+.f64 (.f64 -1/720 (.f64 r b)) (.f64 1/48 (.f64 b r)))))) (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 -1/4 (.f64 b r)) (.f64 1/24 (*.f64 r b))))))))
(fma.f64 1/2 (.f64 (.f64 r b) (.f64 a a)) (fma.f64 r b (.f64 -1 (+.f64 (.f64 (pow.f64 a 6) (fma.f64 1/2 (fma.f64 -1/4 (.f64 r b) (.f64 (.f64 r b) 1/24)) (fma.f64 -1/720 (.f64 r b) (.f64 (.f64 r b) 1/48)))) (.f64 (pow.f64 a 4) (fma.f64 -1/4 (.f64 r b) (.f64 (*.f64 r b) 1/24)))))))
(fma.f64 1/2 (.f64 (.f64 r b) (.f64 a a)) (fma.f64 r b (neg.f64 (fma.f64 (pow.f64 a 6) (fma.f64 1/2 (.f64 (.f64 r b) -5/24) (.f64 (.f64 r b) 7/360)) (.f64 (pow.f64 a 4) (.f64 (.f64 r b) -5/24))))))
(-.f64 (.f64 (.f64 r b) (fma.f64 1/2 (.f64 a a) 1)) (fma.f64 (pow.f64 a 4) (.f64 r (.f64 b -5/24)) (.f64 (pow.f64 a 6) (fma.f64 r (.f64 b 1/48) (.f64 (*.f64 r b) -19/180)))))
(-.f64 (.f64 (.f64 r b) (-.f64 (fma.f64 1/2 (.f64 a a) 1) (.f64 (pow.f64 a 4) -5/24))) (.f64 (pow.f64 a 6) (fma.f64 r (.f64 b 1/48) (.f64 (.f64 r b) -19/180))))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
r
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) r)) r)
(fma.f64 1/2 (.f64 r (.f64 a a)) r)
(.f64 r (fma.f64 1/2 (.f64 a a) 1))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) r)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 -1/4 r) (.f64 1/24 r)))) r))
(fma.f64 1/2 (.f64 r (.f64 a a)) (fma.f64 -1 (.f64 (pow.f64 a 4) (.f64 r -5/24)) r))
(fma.f64 1/2 (.f64 r (.f64 a a)) (-.f64 r (.f64 (pow.f64 a 4) (.f64 r -5/24))))
(fma.f64 r (.f64 a (.f64 a 1/2)) (fma.f64 (pow.f64 a 4) (*.f64 r 5/24) r))
(.f64 r (-.f64 (fma.f64 1/2 (.f64 a a) 1) (*.f64 (pow.f64 a 4) -5/24)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) r)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 -1/4 r) (.f64 1/24 r)))) (+.f64 r (.f64 -1 (.f64 (pow.f64 a 6) (+.f64 (.f64 -1/720 r) (+.f64 (.f64 1/48 r) (.f64 1/2 (+.f64 (.f64 -1/4 r) (*.f64 1/24 r))))))))))
(fma.f64 1/2 (.f64 r (.f64 a a)) (+.f64 (fma.f64 -1 (.f64 (pow.f64 a 4) (.f64 r -5/24)) r) (neg.f64 (.f64 (pow.f64 a 6) (fma.f64 -1/720 r (fma.f64 1/48 r (.f64 1/2 (*.f64 r -5/24))))))))
(fma.f64 1/2 (.f64 r (.f64 a a)) (-.f64 (-.f64 r (.f64 (pow.f64 a 4) (.f64 r -5/24))) (.f64 (pow.f64 a 6) (+.f64 (.f64 r -5/48) (*.f64 r 7/360)))))
(-.f64 (fma.f64 r (.f64 a (.f64 a 1/2)) (fma.f64 (pow.f64 a 4) (.f64 r 5/24) r)) (.f64 (pow.f64 a 6) (*.f64 r -61/720)))
(fma.f64 r (.f64 a (.f64 a 1/2)) (fma.f64 (pow.f64 a 4) (.f64 r 5/24) (fma.f64 (pow.f64 a 6) (.f64 r 61/720) r)))

localize41.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b)) (cos.f64 (+.f64 b a)))
	3.5b	(cos.f64 (+.f64 b a))
✓	3.9b	(*.f64 (pow.f64 b 3) r)
✓	6.2b	(+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b))

Compiler

Compiled 60 to 31 computations (48.3% saved)

series31.0ms (0.2%)

Counts

3 → 63

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	a	@	0	(/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b)) (cos.f64 (+.f64 b a)))
3.0ms	r	@	-inf	(/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b)) (cos.f64 (+.f64 b a)))
3.0ms	a	@	inf	(/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b)) (cos.f64 (+.f64 b a)))
2.0ms	r	@	0	(+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b))
2.0ms	r	@	inf	(+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b))

rewrite153.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

807×	`log-prod_binary64`
596×	`fma-def_binary64`
296×	`fma-neg_binary64`
289×	`expm1-udef_binary64`
289×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	43
1	321	41
2	4409	37

Stop Event

1×	node limit

Counts

3 → 124

Calls

Call 1

Inputs
(+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b))
(*.f64 (pow.f64 b 3) r)
(/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b)) (cos.f64 (+.f64 b a)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 1/36 (*.f64 (pow.f64 b 6) (*.f64 r r))) (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) (neg.f64 b)))) (/.f64 (pow.f64 (*.f64 b r) 2) (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) (neg.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 r (+.f64 b (*.f64 -1/6 (pow.f64 b 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))) (cbrt.f64 (pow.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)) 2)) (cbrt.f64 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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) r)))) (pow.f64 (exp.f64 r) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 -1/6) (*.f64 (pow.f64 b 3) r)) (+.f64 1 (expm1.f64 (*.f64 b r)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) r)))) (+.f64 1 (expm1.f64 (*.f64 b r)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 b r))) (pow.f64 (exp.f64 -1/6) (*.f64 (pow.f64 b 3) r))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 r) b) (+.f64 1 (expm1.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) r))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 b 3) r))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 r) (pow.f64 b 3))) (cbrt.f64 (pow.f64 (exp.f64 r) (pow.f64 b 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 r) (pow.f64 b 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 r) (pow.f64 b 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 r) (pow.f64 b 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 b 3) r))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 b 3) r) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 b 3) r) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (cbrt.f64 r)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 r) (pow.f64 b 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 b 6) (*.f64 r r)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 r) (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 b 3) r))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 b 3) r) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 b 3) 3) (pow.f64 r 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 r 3) (pow.f64 (pow.f64 b 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 b 3) r)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 b 3) r)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 3 (log.f64 b) (log.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 3 (log.f64 b) (log.f64 r)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)) (cos.f64 (+.f64 b a))))) (cbrt.f64 (exp.f64 (/.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)) (cos.f64 (+.f64 b a))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)) (cos.f64 (+.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)) (cos.f64 (+.f64 b a)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)) (cos.f64 (+.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)) (cos.f64 (+.f64 b a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)) (/.f64 1 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)) (cos.f64 (+.f64 b a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)) (cos.f64 (+.f64 b a)))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)) (cos.f64 (+.f64 b a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)) (cos.f64 (+.f64 b a)))) 2) (cbrt.f64 (/.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)) (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)) 2)) (*.f64 (cbrt.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))) (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)) (cos.f64 (+.f64 b a)))) (sqrt.f64 (/.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)) (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))) (*.f64 (sqrt.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))) (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))) (/.f64 1 (neg.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)) 2)) 1) (/.f64 (cbrt.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))) 1) (/.f64 (sqrt.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2))) (/.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)) (cbrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)) 2)) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2))) (cbrt.f64 (/.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)) (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2))) (/.f64 (sqrt.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))) (cbrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)) (sqrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)) 2)) (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 (cbrt.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))) (sqrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)) (cos.f64 (+.f64 b a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)) (cos.f64 (+.f64 b a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)) (cos.f64 (+.f64 b a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)) (cos.f64 (+.f64 b a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)) (neg.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)) (cos.f64 (+.f64 b a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)) (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)) (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)) (cos.f64 (+.f64 b a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)) 3) (pow.f64 (cos.f64 (+.f64 b a)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)) (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)) (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)) (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)) (cos.f64 (+.f64 b a)))) 1))))))

simplify99.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

770×	`associate-r_binary64`
747×	`associate-l_binary64`
500×	`fma-def_binary64`
396×	`associate-/l*_binary64`
346×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	135	1558
1	437	1484
2	1428	1394

Stop Event

1×	node limit

Counts

187 → 157

Calls

Call 1

Inputs
(*.f64 r b)
(.f64 -1/6 (.f64 (pow.f64 b 3) r))
(.f64 -1/6 (.f64 (pow.f64 b 3) r))
(.f64 (+.f64 (.f64 -1/6 (pow.f64 b 3)) b) r)
(.f64 (+.f64 (.f64 -1/6 (pow.f64 b 3)) b) r)
(.f64 (+.f64 (.f64 -1/6 (pow.f64 b 3)) b) r)
(.f64 (+.f64 (.f64 -1/6 (pow.f64 b 3)) b) r)
(.f64 (+.f64 (.f64 -1/6 (pow.f64 b 3)) b) r)
(.f64 (+.f64 (.f64 -1/6 (pow.f64 b 3)) b) r)
(.f64 (+.f64 (.f64 -1/6 (pow.f64 b 3)) b) r)
(.f64 (+.f64 (.f64 -1/6 (pow.f64 b 3)) b) r)
(.f64 -1 (.f64 (+.f64 (.f64 1/6 (pow.f64 b 3)) (.f64 -1 b)) r))
(.f64 -1 (.f64 (+.f64 (.f64 1/6 (pow.f64 b 3)) (.f64 -1 b)) r))
(.f64 -1 (.f64 (+.f64 (.f64 1/6 (pow.f64 b 3)) (.f64 -1 b)) r))
(.f64 -1 (.f64 (+.f64 (.f64 1/6 (pow.f64 b 3)) (.f64 -1 b)) r))
(*.f64 r (pow.f64 b 3))
(*.f64 r (pow.f64 b 3))
(*.f64 r (pow.f64 b 3))
(*.f64 r (pow.f64 b 3))
(*.f64 r (pow.f64 b 3))
(*.f64 r (pow.f64 b 3))
(*.f64 r (pow.f64 b 3))
(*.f64 r (pow.f64 b 3))
(*.f64 r (pow.f64 b 3))
(*.f64 r (pow.f64 b 3))
(*.f64 r (pow.f64 b 3))
(*.f64 r (pow.f64 b 3))
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 4))))))
(.f64 -1/6 (/.f64 (.f64 r (pow.f64 b 3)) (cos.f64 (+.f64 a b))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 r (pow.f64 b 3)) (cos.f64 (+.f64 a b)))) (/.f64 (*.f64 r b) (cos.f64 (+.f64 a b))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 r (pow.f64 b 3)) (cos.f64 (+.f64 a b)))) (/.f64 (*.f64 r b) (cos.f64 (+.f64 a b))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 r (pow.f64 b 3)) (cos.f64 (+.f64 a b)))) (/.f64 (*.f64 r b) (cos.f64 (+.f64 a b))))
(.f64 -1/6 (/.f64 (.f64 r (pow.f64 b 3)) (cos.f64 (-.f64 a (*.f64 -1 b)))))
(+.f64 (/.f64 (.f64 r b) (cos.f64 (-.f64 a (.f64 -1 b)))) (.f64 -1/6 (/.f64 (.f64 r (pow.f64 b 3)) (cos.f64 (-.f64 a (*.f64 -1 b))))))
(+.f64 (/.f64 (.f64 r b) (cos.f64 (-.f64 a (.f64 -1 b)))) (.f64 -1/6 (/.f64 (.f64 r (pow.f64 b 3)) (cos.f64 (-.f64 a (*.f64 -1 b))))))
(+.f64 (/.f64 (.f64 r b) (cos.f64 (-.f64 a (.f64 -1 b)))) (.f64 -1/6 (/.f64 (.f64 r (pow.f64 b 3)) (cos.f64 (-.f64 a (*.f64 -1 b))))))
(/.f64 (.f64 (+.f64 (.f64 -1/6 (pow.f64 b 3)) b) r) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 (+.f64 (.f64 -1/6 (pow.f64 b 3)) b) r) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 (+.f64 (.f64 -1/6 (pow.f64 b 3)) b) r) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 (+.f64 (.f64 -1/6 (pow.f64 b 3)) b) r) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 (+.f64 (.f64 -1/6 (pow.f64 b 3)) b) r) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 (+.f64 (.f64 -1/6 (pow.f64 b 3)) b) r) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 (+.f64 (.f64 -1/6 (pow.f64 b 3)) b) r) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 (+.f64 (.f64 -1/6 (pow.f64 b 3)) b) r) (cos.f64 (+.f64 a b)))
(.f64 -1 (/.f64 (.f64 (+.f64 (.f64 1/6 (pow.f64 b 3)) (.f64 -1 b)) r) (cos.f64 (+.f64 a b))))
(.f64 -1 (/.f64 (.f64 (+.f64 (.f64 1/6 (pow.f64 b 3)) (.f64 -1 b)) r) (cos.f64 (+.f64 a b))))
(.f64 -1 (/.f64 (.f64 (+.f64 (.f64 1/6 (pow.f64 b 3)) (.f64 -1 b)) r) (cos.f64 (+.f64 a b))))
(.f64 -1 (/.f64 (.f64 (+.f64 (.f64 1/6 (pow.f64 b 3)) (.f64 -1 b)) r) (cos.f64 (+.f64 a b))))
(/.f64 (+.f64 (.f64 b r) (.f64 -1/6 (*.f64 r (pow.f64 b 3)))) (cos.f64 b))
(+.f64 (/.f64 (.f64 (sin.f64 b) (.f64 a (+.f64 (.f64 r b) (.f64 -1/6 (.f64 r (pow.f64 b 3)))))) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 b 3) r) (cos.f64 b))) (/.f64 (.f64 r b) (cos.f64 b))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 r b) (.f64 -1/6 (.f64 r (pow.f64 b 3)))) (cos.f64 b))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (+.f64 (.f64 b r) (.f64 -1/6 (.f64 r (pow.f64 b 3))))) (pow.f64 (cos.f64 b) 3)))) (pow.f64 a 2))) (+.f64 (/.f64 (.f64 (sin.f64 b) (.f64 a (+.f64 (.f64 r b) (.f64 -1/6 (.f64 r (pow.f64 b 3)))))) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 b 3) r) (cos.f64 b))) (/.f64 (*.f64 r b) (cos.f64 b)))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 r b) (.f64 -1/6 (.f64 r (pow.f64 b 3)))) (cos.f64 b))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (+.f64 (.f64 b r) (.f64 -1/6 (.f64 r (pow.f64 b 3))))) (pow.f64 (cos.f64 b) 3)))) (pow.f64 a 2))) (+.f64 (/.f64 (.f64 (sin.f64 b) (.f64 a (+.f64 (.f64 r b) (.f64 -1/6 (.f64 r (pow.f64 b 3)))))) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 b 3) r) (cos.f64 b))) (+.f64 (/.f64 (.f64 r b) (cos.f64 b)) (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 b r) (.f64 -1/6 (.f64 r (pow.f64 b 3))))) (pow.f64 (cos.f64 b) 2))) (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 b r) (.f64 -1/6 (.f64 r (pow.f64 b 3)))) (cos.f64 b))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (+.f64 (.f64 r b) (.f64 -1/6 (.f64 r (pow.f64 b 3))))) (pow.f64 (cos.f64 b) 3))))) (cos.f64 b)) (.f64 1/6 (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 r b) (.f64 -1/6 (*.f64 r (pow.f64 b 3))))) (pow.f64 (cos.f64 b) 2))))) (pow.f64 a 3)))))))
(/.f64 (+.f64 (.f64 b r) (.f64 -1/6 (*.f64 r (pow.f64 b 3)))) (cos.f64 (+.f64 a b)))
(/.f64 (+.f64 (.f64 b r) (.f64 -1/6 (*.f64 r (pow.f64 b 3)))) (cos.f64 (+.f64 a b)))
(/.f64 (+.f64 (.f64 b r) (.f64 -1/6 (*.f64 r (pow.f64 b 3)))) (cos.f64 (+.f64 a b)))
(/.f64 (+.f64 (.f64 b r) (.f64 -1/6 (*.f64 r (pow.f64 b 3)))) (cos.f64 (+.f64 a b)))
(/.f64 (+.f64 (.f64 b r) (.f64 -1/6 (.f64 r (pow.f64 b 3)))) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (+.f64 (.f64 b r) (.f64 -1/6 (.f64 r (pow.f64 b 3)))) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (+.f64 (.f64 b r) (.f64 -1/6 (.f64 r (pow.f64 b 3)))) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (+.f64 (.f64 b r) (.f64 -1/6 (.f64 r (pow.f64 b 3)))) (cos.f64 (-.f64 b (.f64 -1 a))))

Outputs
(*.f64 r b)
(.f64 -1/6 (.f64 (pow.f64 b 3) r))
(.f64 -1/6 (.f64 r (pow.f64 b 3)))
(.f64 -1/6 (.f64 (pow.f64 b 3) r))
(.f64 -1/6 (.f64 r (pow.f64 b 3)))
(.f64 (+.f64 (.f64 -1/6 (pow.f64 b 3)) b) r)
(*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))
(.f64 (+.f64 (.f64 -1/6 (pow.f64 b 3)) b) r)
(*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))
(.f64 (+.f64 (.f64 -1/6 (pow.f64 b 3)) b) r)
(*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))
(.f64 (+.f64 (.f64 -1/6 (pow.f64 b 3)) b) r)
(*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))
(.f64 (+.f64 (.f64 -1/6 (pow.f64 b 3)) b) r)
(*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))
(.f64 (+.f64 (.f64 -1/6 (pow.f64 b 3)) b) r)
(*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))
(.f64 (+.f64 (.f64 -1/6 (pow.f64 b 3)) b) r)
(*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))
(.f64 (+.f64 (.f64 -1/6 (pow.f64 b 3)) b) r)
(*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))
(.f64 -1 (.f64 (+.f64 (.f64 1/6 (pow.f64 b 3)) (.f64 -1 b)) r))
(*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))
(.f64 -1 (.f64 (+.f64 (.f64 1/6 (pow.f64 b 3)) (.f64 -1 b)) r))
(*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))
(.f64 -1 (.f64 (+.f64 (.f64 1/6 (pow.f64 b 3)) (.f64 -1 b)) r))
(*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))
(.f64 -1 (.f64 (+.f64 (.f64 1/6 (pow.f64 b 3)) (.f64 -1 b)) r))
(*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))
(*.f64 r (pow.f64 b 3))
(*.f64 r (pow.f64 b 3))
(*.f64 r (pow.f64 b 3))
(*.f64 r (pow.f64 b 3))
(*.f64 r (pow.f64 b 3))
(*.f64 r (pow.f64 b 3))
(*.f64 r (pow.f64 b 3))
(*.f64 r (pow.f64 b 3))
(*.f64 r (pow.f64 b 3))
(*.f64 r (pow.f64 b 3))
(*.f64 r (pow.f64 b 3))
(*.f64 r (pow.f64 b 3))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 r (cos.f64 a)) b)
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(fma.f64 -1 (.f64 (.f64 a a) (fma.f64 -1/2 (/.f64 (fma.f64 r b (.f64 -1/6 (.f64 r (pow.f64 b 3)))) (cos.f64 b)) (neg.f64 (/.f64 (.f64 (fma.f64 r b (.f64 -1/6 (.f64 r (pow.f64 b 3)))) (pow.f64 (sin.f64 b) 2)) (pow.f64 (cos.f64 b) 3))))) (+.f64 (/.f64 (sin.f64 b) (/.f64 (pow.f64 (cos.f64 b) 2) (.f64 a (fma.f64 r b (.f64 -1/6 (.f64 r (pow.f64 b 3))))))) (+.f64 (fma.f64 -1/6 (/.f64 (pow.f64 b 3) (/.f64 (cos.f64 b) r)) (/.f64 r (/.f64 (cos.f64 b) b))) (neg.f64 (.f64 (fma.f64 -1/2 (/.f64 (.f64 (sin.f64 b) (fma.f64 r b (.f64 -1/6 (.f64 r (pow.f64 b 3))))) (pow.f64 (cos.f64 b) 2)) (+.f64 (/.f64 (.f64 (sin.f64 b) (fma.f64 -1/2 (/.f64 (fma.f64 r b (.f64 -1/6 (.f64 r (pow.f64 b 3)))) (cos.f64 b)) (neg.f64 (/.f64 (.f64 (fma.f64 r b (.f64 -1/6 (.f64 r (pow.f64 b 3)))) (pow.f64 (sin.f64 b) 2)) (pow.f64 (cos.f64 b) 3))))) (cos.f64 b)) (.f64 1/6 (/.f64 (.f64 (sin.f64 b) (fma.f64 r b (.f64 -1/6 (.f64 r (pow.f64 b 3))))) (pow.f64 (cos.f64 b) 2))))) (pow.f64 a 3))))))
(+.f64 (-.f64 (fma.f64 -1/6 (.f64 (/.f64 (pow.f64 b 3) (cos.f64 b)) r) (.f64 (/.f64 r (cos.f64 b)) b)) (.f64 (fma.f64 -1/2 (.f64 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)) (.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))) (fma.f64 1/6 (.f64 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)) (.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))) (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (-.f64 (/.f64 -1/2 (/.f64 (cos.f64 b) (.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)))) (.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3)) (.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))))))) (pow.f64 a 3))) (fma.f64 (neg.f64 (-.f64 (/.f64 -1/2 (/.f64 (cos.f64 b) (.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)))) (.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3)) (.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))))) (.f64 a a) (/.f64 (.f64 (.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)) (.f64 a (sin.f64 b))) (pow.f64 (cos.f64 b) 2))))
(-.f64 (-.f64 (fma.f64 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)) (.f64 r (.f64 (fma.f64 -1/6 (pow.f64 b 3) b) a)) (fma.f64 (/.f64 r (cos.f64 b)) b (.f64 (/.f64 (pow.f64 b 3) (cos.f64 b)) (.f64 r -1/6)))) (.f64 a (.f64 a (.f64 (/.f64 r (/.f64 (cos.f64 b) (fma.f64 -1/6 (pow.f64 b 3) b))) (-.f64 -1/2 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2))))))) (.f64 (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (.f64 (/.f64 r (/.f64 (cos.f64 b) (fma.f64 -1/6 (pow.f64 b 3) b))) (-.f64 -1/2 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)))) (.f64 (/.f64 (sin.f64 b) (/.f64 (pow.f64 (cos.f64 b) 2) (*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b)))) -1/3)) (pow.f64 a 3)))
(/.f64 (+.f64 (.f64 b r) (.f64 -1/6 (*.f64 r (pow.f64 b 3)))) (cos.f64 (+.f64 a b)))
(/.f64 (fma.f64 -1/6 (pow.f64 b 3) b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (fma.f64 -1/6 (pow.f64 b 3) b)))
(/.f64 (+.f64 (.f64 b r) (.f64 -1/6 (*.f64 r (pow.f64 b 3)))) (cos.f64 (+.f64 a b)))
(/.f64 (fma.f64 -1/6 (pow.f64 b 3) b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (fma.f64 -1/6 (pow.f64 b 3) b)))
(/.f64 (+.f64 (.f64 b r) (.f64 -1/6 (*.f64 r (pow.f64 b 3)))) (cos.f64 (+.f64 a b)))
(/.f64 (fma.f64 -1/6 (pow.f64 b 3) b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (fma.f64 -1/6 (pow.f64 b 3) b)))
(/.f64 (+.f64 (.f64 b r) (.f64 -1/6 (*.f64 r (pow.f64 b 3)))) (cos.f64 (+.f64 a b)))
(/.f64 (fma.f64 -1/6 (pow.f64 b 3) b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (fma.f64 -1/6 (pow.f64 b 3) b)))
(/.f64 (+.f64 (.f64 b r) (.f64 -1/6 (.f64 r (pow.f64 b 3)))) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (fma.f64 -1/6 (pow.f64 b 3) b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (fma.f64 -1/6 (pow.f64 b 3) b)))
(/.f64 (+.f64 (.f64 b r) (.f64 -1/6 (.f64 r (pow.f64 b 3)))) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (fma.f64 -1/6 (pow.f64 b 3) b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (fma.f64 -1/6 (pow.f64 b 3) b)))
(/.f64 (+.f64 (.f64 b r) (.f64 -1/6 (.f64 r (pow.f64 b 3)))) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (fma.f64 -1/6 (pow.f64 b 3) b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (fma.f64 -1/6 (pow.f64 b 3) b)))
(/.f64 (+.f64 (.f64 b r) (.f64 -1/6 (.f64 r (pow.f64 b 3)))) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (fma.f64 -1/6 (pow.f64 b 3) b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (fma.f64 -1/6 (pow.f64 b 3) b)))

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 r (sin.f64 b))
✓	0.2b	(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))
✓	0.4b	(pow.f64 (cos.f64 (+.f64 b a)) 2)
	3.5b	(cos.f64 (+.f64 b a))

Compiler

Compiled 45 to 17 computations (62.2% saved)

series7.0ms (0%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(pow.f64 (cos.f64 (+.f64 b a)) 2)
1.0ms	a	@	0	(pow.f64 (cos.f64 (+.f64 b a)) 2)
1.0ms	b	@	inf	(pow.f64 (cos.f64 (+.f64 b a)) 2)
1.0ms	a	@	-inf	(pow.f64 (cos.f64 (+.f64 b a)) 2)
1.0ms	b	@	-inf	(pow.f64 (cos.f64 (+.f64 b a)) 2)

rewrite88.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

614×	`log-prod_binary64`
601×	`prod-diff_binary64`
326×	`pow2_binary64`
228×	`pow1/3_binary64`
228×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	23
1	265	23
2	3374	23

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

Inputs
(pow.f64 (cos.f64 (+.f64 b a)) 2)
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))

Outputs

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

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

simplify120.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

886×	`fma-def_binary64`
735×	`fma-neg_binary64`
376×	`times-frac_binary64`
326×	`*-commutative_binary64`
323×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	136	1344
1	452	1292
2	1668	1253
3	7656	1253

Stop Event

1×	node limit

Counts

131 → 108

Calls

Call 1

Inputs
(pow.f64 (cos.f64 a) 2)
(+.f64 (pow.f64 (cos.f64 a) 2) (.f64 -2 (.f64 (sin.f64 a) (*.f64 (cos.f64 a) b))))
(+.f64 (pow.f64 (cos.f64 a) 2) (+.f64 (.f64 -2 (.f64 (sin.f64 a) (.f64 (cos.f64 a) b))) (.f64 (+.f64 (pow.f64 (sin.f64 a) 2) (*.f64 -1 (pow.f64 (cos.f64 a) 2))) (pow.f64 b 2))))
(+.f64 (pow.f64 (cos.f64 a) 2) (+.f64 (.f64 (pow.f64 b 3) (+.f64 (.f64 (sin.f64 a) (cos.f64 a)) (.f64 1/3 (.f64 (sin.f64 a) (cos.f64 a))))) (+.f64 (.f64 -2 (.f64 (sin.f64 a) (.f64 (cos.f64 a) b))) (.f64 (+.f64 (pow.f64 (sin.f64 a) 2) (*.f64 -1 (pow.f64 (cos.f64 a) 2))) (pow.f64 b 2)))))
(pow.f64 (cos.f64 (+.f64 a b)) 2)
(pow.f64 (cos.f64 (+.f64 a b)) 2)
(pow.f64 (cos.f64 (+.f64 a b)) 2)
(pow.f64 (cos.f64 (+.f64 a b)) 2)
(pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 2)
(pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 2)
(pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 2)
(pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 2)
(pow.f64 (cos.f64 b) 2)
(+.f64 (pow.f64 (cos.f64 b) 2) (.f64 -2 (.f64 (sin.f64 b) (*.f64 a (cos.f64 b)))))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (pow.f64 (cos.f64 b) 2)) (pow.f64 (sin.f64 b) 2))) (+.f64 (pow.f64 (cos.f64 b) 2) (.f64 -2 (.f64 (sin.f64 b) (*.f64 a (cos.f64 b))))))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (pow.f64 (cos.f64 b) 2)) (pow.f64 (sin.f64 b) 2))) (+.f64 (pow.f64 (cos.f64 b) 2) (+.f64 (.f64 -2 (.f64 (sin.f64 b) (.f64 a (cos.f64 b)))) (.f64 (pow.f64 a 3) (+.f64 (.f64 (sin.f64 b) (cos.f64 b)) (.f64 1/3 (*.f64 (sin.f64 b) (cos.f64 b))))))))
(pow.f64 (cos.f64 (+.f64 a b)) 2)
(pow.f64 (cos.f64 (+.f64 a b)) 2)
(pow.f64 (cos.f64 (+.f64 a b)) 2)
(pow.f64 (cos.f64 (+.f64 a b)) 2)
(pow.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) 2)
(pow.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) 2)
(pow.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) 2)
(pow.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) 2)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 4))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (.f64 1/6 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))

Outputs
(pow.f64 (cos.f64 a) 2)
(+.f64 (pow.f64 (cos.f64 a) 2) (.f64 -2 (.f64 (sin.f64 a) (*.f64 (cos.f64 a) b))))
(fma.f64 -2 (.f64 (cos.f64 a) (.f64 b (sin.f64 a))) (pow.f64 (cos.f64 a) 2))
(.f64 (cos.f64 a) (+.f64 (cos.f64 a) (.f64 b (*.f64 -2 (sin.f64 a)))))
(+.f64 (pow.f64 (cos.f64 a) 2) (+.f64 (.f64 -2 (.f64 (sin.f64 a) (.f64 (cos.f64 a) b))) (.f64 (+.f64 (pow.f64 (sin.f64 a) 2) (*.f64 -1 (pow.f64 (cos.f64 a) 2))) (pow.f64 b 2))))
(+.f64 (pow.f64 (cos.f64 a) 2) (fma.f64 -2 (.f64 (sin.f64 a) (.f64 (cos.f64 a) b)) (.f64 (+.f64 (pow.f64 (sin.f64 a) 2) (neg.f64 (pow.f64 (cos.f64 a) 2))) (.f64 b b))))
(+.f64 (fma.f64 -2 (.f64 (cos.f64 a) (.f64 b (sin.f64 a))) (pow.f64 (cos.f64 a) 2)) (.f64 (-.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 2)) (.f64 b b)))
(fma.f64 b (.f64 b (-.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 2))) (.f64 (cos.f64 a) (+.f64 (cos.f64 a) (.f64 b (.f64 -2 (sin.f64 a))))))
(+.f64 (pow.f64 (cos.f64 a) 2) (+.f64 (.f64 (pow.f64 b 3) (+.f64 (.f64 (sin.f64 a) (cos.f64 a)) (.f64 1/3 (.f64 (sin.f64 a) (cos.f64 a))))) (+.f64 (.f64 -2 (.f64 (sin.f64 a) (.f64 (cos.f64 a) b))) (.f64 (+.f64 (pow.f64 (sin.f64 a) 2) (*.f64 -1 (pow.f64 (cos.f64 a) 2))) (pow.f64 b 2)))))
(+.f64 (pow.f64 (cos.f64 a) 2) (fma.f64 (pow.f64 b 3) (.f64 4/3 (.f64 (cos.f64 a) (sin.f64 a))) (fma.f64 -2 (.f64 (sin.f64 a) (.f64 (cos.f64 a) b)) (.f64 (+.f64 (pow.f64 (sin.f64 a) 2) (neg.f64 (pow.f64 (cos.f64 a) 2))) (.f64 b b)))))
(+.f64 (pow.f64 (cos.f64 a) 2) (fma.f64 (pow.f64 b 3) (.f64 (.f64 4/3 (cos.f64 a)) (sin.f64 a)) (fma.f64 -2 (.f64 (cos.f64 a) (.f64 b (sin.f64 a))) (.f64 (-.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 2)) (.f64 b b)))))
(fma.f64 (pow.f64 b 3) (.f64 (cos.f64 a) (.f64 (sin.f64 a) 4/3)) (fma.f64 b (.f64 b (-.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 2))) (.f64 (cos.f64 a) (+.f64 (cos.f64 a) (.f64 b (.f64 -2 (sin.f64 a)))))))
(pow.f64 (cos.f64 (+.f64 a b)) 2)
(pow.f64 (cos.f64 (+.f64 a b)) 2)
(pow.f64 (cos.f64 (+.f64 a b)) 2)
(pow.f64 (cos.f64 (+.f64 a b)) 2)
(pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 2)
(pow.f64 (cos.f64 (+.f64 a b)) 2)
(pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 2)
(pow.f64 (cos.f64 (+.f64 a b)) 2)
(pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 2)
(pow.f64 (cos.f64 (+.f64 a b)) 2)
(pow.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) 2)
(pow.f64 (cos.f64 (+.f64 a b)) 2)
(pow.f64 (cos.f64 b) 2)
(+.f64 (pow.f64 (cos.f64 b) 2) (.f64 -2 (.f64 (sin.f64 b) (*.f64 a (cos.f64 b)))))
(+.f64 (pow.f64 (cos.f64 b) 2) (.f64 -2 (.f64 (*.f64 (sin.f64 b) a) (cos.f64 b))))
(fma.f64 -2 (.f64 a (.f64 (cos.f64 b) (sin.f64 b))) (pow.f64 (cos.f64 b) 2))
(.f64 (cos.f64 b) (+.f64 (cos.f64 b) (.f64 a (*.f64 -2 (sin.f64 b)))))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (pow.f64 (cos.f64 b) 2)) (pow.f64 (sin.f64 b) 2))) (+.f64 (pow.f64 (cos.f64 b) 2) (.f64 -2 (.f64 (sin.f64 b) (*.f64 a (cos.f64 b))))))
(fma.f64 (.f64 a a) (fma.f64 -1 (pow.f64 (cos.f64 b) 2) (pow.f64 (sin.f64 b) 2)) (+.f64 (pow.f64 (cos.f64 b) 2) (.f64 -2 (.f64 (.f64 (sin.f64 b) a) (cos.f64 b)))))
(fma.f64 (.f64 a a) (-.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (fma.f64 -2 (.f64 a (*.f64 (cos.f64 b) (sin.f64 b))) (pow.f64 (cos.f64 b) 2)))
(fma.f64 a (.f64 a (-.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2))) (.f64 (cos.f64 b) (+.f64 (cos.f64 b) (.f64 a (.f64 -2 (sin.f64 b))))))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (pow.f64 (cos.f64 b) 2)) (pow.f64 (sin.f64 b) 2))) (+.f64 (pow.f64 (cos.f64 b) 2) (+.f64 (.f64 -2 (.f64 (sin.f64 b) (.f64 a (cos.f64 b)))) (.f64 (pow.f64 a 3) (+.f64 (.f64 (sin.f64 b) (cos.f64 b)) (.f64 1/3 (*.f64 (sin.f64 b) (cos.f64 b))))))))
(fma.f64 (.f64 a a) (fma.f64 -1 (pow.f64 (cos.f64 b) 2) (pow.f64 (sin.f64 b) 2)) (+.f64 (pow.f64 (cos.f64 b) 2) (fma.f64 -2 (.f64 (.f64 (sin.f64 b) a) (cos.f64 b)) (.f64 (pow.f64 a 3) (.f64 4/3 (.f64 (cos.f64 b) (sin.f64 b)))))))
(+.f64 (fma.f64 (.f64 a a) (-.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (fma.f64 -2 (.f64 a (.f64 (cos.f64 b) (sin.f64 b))) (pow.f64 (cos.f64 b) 2))) (.f64 (pow.f64 a 3) (.f64 (.f64 (cos.f64 b) (sin.f64 b)) 4/3)))
(fma.f64 a (.f64 a (-.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2))) (fma.f64 (pow.f64 a 3) (.f64 (sin.f64 b) (.f64 (cos.f64 b) 4/3)) (.f64 (cos.f64 b) (+.f64 (cos.f64 b) (.f64 a (.f64 -2 (sin.f64 b)))))))
(pow.f64 (cos.f64 (+.f64 a b)) 2)
(pow.f64 (cos.f64 (+.f64 a b)) 2)
(pow.f64 (cos.f64 (+.f64 a b)) 2)
(pow.f64 (cos.f64 (+.f64 a b)) 2)
(pow.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) 2)
(pow.f64 (cos.f64 (+.f64 a b)) 2)
(pow.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) 2)
(pow.f64 (cos.f64 (+.f64 a b)) 2)
(pow.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) 2)
(pow.f64 (cos.f64 (+.f64 a b)) 2)
(pow.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) 2)
(pow.f64 (cos.f64 (+.f64 a b)) 2)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 r (/.f64 (cos.f64 a) b)) (/.f64 (.f64 (sin.f64 a) (.f64 (*.f64 b b) r)) (pow.f64 (cos.f64 a) 2)))
(+.f64 (.f64 (/.f64 r (cos.f64 a)) b) (.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (.f64 b (.f64 b r))))
(fma.f64 (/.f64 r (cos.f64 a)) b (.f64 (/.f64 (.f64 (sin.f64 a) (*.f64 b b)) (pow.f64 (cos.f64 a) 2)) r))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 (.f64 b b) r)) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 r (/.f64 (cos.f64 a) b)) (.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (fma.f64 -1/2 (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (/.f64 (pow.f64 (cos.f64 a) 3) r))))))))
(+.f64 (.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (.f64 b (.f64 b r))) (fma.f64 (pow.f64 b 3) (-.f64 (.f64 (/.f64 r (cos.f64 a)) 1/3) (/.f64 (neg.f64 (.f64 (pow.f64 (sin.f64 a) 2) r)) (pow.f64 (cos.f64 a) 3))) (.f64 (/.f64 r (cos.f64 a)) b)))
(fma.f64 (pow.f64 b 3) (fma.f64 (/.f64 r (cos.f64 a)) 1/3 (.f64 (/.f64 r (pow.f64 (cos.f64 a) 3)) (pow.f64 (sin.f64 a) 2))) (fma.f64 (/.f64 r (cos.f64 a)) b (.f64 (/.f64 (.f64 (sin.f64 a) (.f64 b b)) (pow.f64 (cos.f64 a) 2)) r)))
(fma.f64 (pow.f64 b 3) (fma.f64 1/3 (/.f64 r (cos.f64 a)) (.f64 (/.f64 r (pow.f64 (cos.f64 a) 3)) (pow.f64 (sin.f64 a) 2))) (fma.f64 (/.f64 r (cos.f64 a)) b (.f64 (/.f64 (.f64 (sin.f64 a) (.f64 b b)) (pow.f64 (cos.f64 a) 2)) r)))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 4))))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 (.f64 b b) r)) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 r (/.f64 (cos.f64 a) b)) (fma.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (fma.f64 -1/2 (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (/.f64 (pow.f64 (cos.f64 a) 3) r))))) (neg.f64 (.f64 (fma.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (fma.f64 -1/2 (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (/.f64 (pow.f64 (cos.f64 a) 3) r)))))) (cos.f64 a)) (.f64 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2)) -1/3)) (pow.f64 b 4))))))
(+.f64 (.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (.f64 b (.f64 b r))) (-.f64 (fma.f64 (pow.f64 b 3) (-.f64 (.f64 (/.f64 r (cos.f64 a)) 1/3) (/.f64 (neg.f64 (.f64 (pow.f64 (sin.f64 a) 2) r)) (pow.f64 (cos.f64 a) 3))) (.f64 (/.f64 r (cos.f64 a)) b)) (.f64 (-.f64 (/.f64 (.f64 (.f64 (sin.f64 a) r) -1/3) (pow.f64 (cos.f64 a) 2)) (.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (-.f64 (.f64 (/.f64 r (cos.f64 a)) 1/3) (/.f64 (neg.f64 (.f64 (pow.f64 (sin.f64 a) 2) r)) (pow.f64 (cos.f64 a) 3))))) (pow.f64 b 4))))
(fma.f64 (/.f64 r (cos.f64 a)) b (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (.f64 b (.f64 b r)) (fma.f64 (-.f64 (.f64 (/.f64 (.f64 (sin.f64 a) -1/3) (pow.f64 (cos.f64 a) 2)) r) (.f64 (fma.f64 (/.f64 r (cos.f64 a)) 1/3 (.f64 (/.f64 r (pow.f64 (cos.f64 a) 3)) (pow.f64 (sin.f64 a) 2))) (/.f64 (sin.f64 a) (cos.f64 a)))) (neg.f64 (pow.f64 b 4)) (.f64 (pow.f64 b 3) (fma.f64 (/.f64 r (cos.f64 a)) 1/3 (.f64 (/.f64 r (pow.f64 (cos.f64 a) 3)) (pow.f64 (sin.f64 a) 2)))))))
(fma.f64 (/.f64 r (cos.f64 a)) b (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (.f64 b (.f64 b r)) (fma.f64 (-.f64 (.f64 (/.f64 (.f64 (sin.f64 a) -1/3) (pow.f64 (cos.f64 a) 2)) r) (.f64 (fma.f64 1/3 (/.f64 r (cos.f64 a)) (.f64 (/.f64 r (pow.f64 (cos.f64 a) 3)) (pow.f64 (sin.f64 a) 2))) (/.f64 (sin.f64 a) (cos.f64 a)))) (neg.f64 (pow.f64 b 4)) (.f64 (pow.f64 b 3) (fma.f64 1/3 (/.f64 r (cos.f64 a)) (.f64 (/.f64 r (pow.f64 (cos.f64 a) 3)) (pow.f64 (sin.f64 a) 2)))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)))
(+.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)))
(fma.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (.f64 a r) (.f64 r (/.f64 (sin.f64 b) (cos.f64 b))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (fma.f64 -1 (.f64 (.f64 a a) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (/.f64 (pow.f64 (cos.f64 b) 3) r)) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (-.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (.f64 (.f64 a a) (fma.f64 -1/2 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (/.f64 (neg.f64 (pow.f64 (sin.f64 b) 3)) (/.f64 (pow.f64 (cos.f64 b) 3) r))))))
(fma.f64 (fma.f64 -1/2 (.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 (neg.f64 r) (/.f64 (pow.f64 (cos.f64 b) 3) (pow.f64 (sin.f64 b) 3)))) (.f64 a (neg.f64 a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (.f64 a r) (.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (.f64 1/6 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (fma.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (/.f64 (pow.f64 (cos.f64 b) 3) r)) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) r)) -1/3))) (fma.f64 -1 (.f64 (.f64 a a) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (/.f64 (pow.f64 (cos.f64 b) 3) r)) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (-.f64 (-.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (.f64 (.f64 a a) (fma.f64 -1/2 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (/.f64 (neg.f64 (pow.f64 (sin.f64 b) 3)) (/.f64 (pow.f64 (cos.f64 b) 3) r))))) (.f64 (pow.f64 a 3) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) r)) -1/3 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (/.f64 (neg.f64 (pow.f64 (sin.f64 b) 3)) (/.f64 (pow.f64 (cos.f64 b) 3) r))))))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (.f64 a r) (-.f64 (.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) (.f64 (.f64 a a) (+.f64 (.f64 a (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (fma.f64 -1/2 (.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 (neg.f64 r) (/.f64 (pow.f64 (cos.f64 b) 3) (pow.f64 (sin.f64 b) 3)))) (.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) -1/3) (pow.f64 (cos.f64 b) 2)) r))) (fma.f64 -1/2 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 (neg.f64 r) (/.f64 (pow.f64 (cos.f64 b) 3) (pow.f64 (sin.f64 b) 3))))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (log.f64 (pow.f64 (exp.f64 r) (sin.f64 b))) (cos.f64 (+.f64 b a)))
✓	0.0b	(pow.f64 (exp.f64 r) (sin.f64 b))
✓	2.0b	(log.f64 (pow.f64 (exp.f64 r) (sin.f64 b)))
	3.5b	(cos.f64 (+.f64 b a))

Compiler

Compiled 39 to 10 computations (74.4% saved)

series406.0ms (2.2%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
143.0ms	r	@	inf	(log.f64 (pow.f64 (exp.f64 r) (sin.f64 b)))
115.0ms	a	@	inf	(/.f64 (log.f64 (pow.f64 (exp.f64 r) (sin.f64 b))) (cos.f64 (+.f64 b a)))
72.0ms	r	@	-inf	(log.f64 (pow.f64 (exp.f64 r) (sin.f64 b)))
39.0ms	b	@	inf	(log.f64 (pow.f64 (exp.f64 r) (sin.f64 b)))
16.0ms	b	@	-inf	(log.f64 (pow.f64 (exp.f64 r) (sin.f64 b)))

rewrite99.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

615×	`log-prod_binary64`
583×	`prod-diff_binary64`
333×	`pow2_binary64`
241×	`fma-def_binary64`
229×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	237	28
2	3294	28

Stop Event

1×	node limit

Counts

3 → 111

Calls

Call 1

Inputs
(log.f64 (pow.f64 (exp.f64 r) (sin.f64 b)))
(pow.f64 (exp.f64 r) (sin.f64 b))
(/.f64 (log.f64 (pow.f64 (exp.f64 r) (sin.f64 b))) (cos.f64 (+.f64 b a)))

Outputs

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

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

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

simplify63.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

571×	`distribute-rgt-in_binary64`
559×	`distribute-lft-in_binary64`
319×	`associate-/l*_binary64`
291×	`times-frac_binary64`
246×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	210	2124
1	687	1869
2	2648	1640

Stop Event

1×	node limit

Counts

195 → 165

Calls

Call 1

Inputs
(*.f64 (sin.f64 b) r)
(+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1 (pow.f64 (sin.f64 b) 2)) (pow.f64 (sin.f64 b) 2)) (pow.f64 r 2))) (.f64 (sin.f64 b) r))
(+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1 (pow.f64 (sin.f64 b) 2)) (pow.f64 (sin.f64 b) 2)) (pow.f64 r 2))) (+.f64 (.f64 1/6 (.f64 (pow.f64 r 3) (+.f64 (pow.f64 (sin.f64 b) 3) (+.f64 (.f64 2 (pow.f64 (sin.f64 b) 3)) (.f64 -3 (pow.f64 (sin.f64 b) 3)))))) (.f64 (sin.f64 b) r)))
(+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 -6 (pow.f64 (sin.f64 b) 4)) (+.f64 (.f64 12 (pow.f64 (sin.f64 b) 4)) (+.f64 (.f64 -4 (pow.f64 (sin.f64 b) 4)) (+.f64 (pow.f64 (sin.f64 b) 4) (.f64 -3 (pow.f64 (sin.f64 b) 4)))))) (pow.f64 r 4))) (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1 (pow.f64 (sin.f64 b) 2)) (pow.f64 (sin.f64 b) 2)) (pow.f64 r 2))) (+.f64 (.f64 1/6 (.f64 (pow.f64 r 3) (+.f64 (pow.f64 (sin.f64 b) 3) (+.f64 (.f64 2 (pow.f64 (sin.f64 b) 3)) (.f64 -3 (pow.f64 (sin.f64 b) 3)))))) (.f64 (sin.f64 b) r))))
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 r b)
(+.f64 (.f64 r b) (.f64 1/2 (.f64 (pow.f64 b 2) (+.f64 (pow.f64 r 2) (.f64 -1 (pow.f64 r 2))))))
(+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 6 (+.f64 (.f64 1/6 (pow.f64 r 3)) (.f64 -1/6 r))) (+.f64 (.f64 -3 (pow.f64 r 3)) (.f64 2 (pow.f64 r 3)))) (pow.f64 b 3))) (+.f64 (.f64 r b) (.f64 1/2 (.f64 (pow.f64 b 2) (+.f64 (pow.f64 r 2) (*.f64 -1 (pow.f64 r 2)))))))
(+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 6 (+.f64 (.f64 1/6 (pow.f64 r 3)) (.f64 -1/6 r))) (+.f64 (.f64 -3 (pow.f64 r 3)) (.f64 2 (pow.f64 r 3)))) (pow.f64 b 3))) (+.f64 (.f64 r b) (+.f64 (.f64 1/2 (.f64 (pow.f64 b 2) (+.f64 (pow.f64 r 2) (.f64 -1 (pow.f64 r 2))))) (.f64 1/24 (.f64 (+.f64 (.f64 24 (+.f64 (.f64 -1/6 (pow.f64 r 2)) (.f64 1/24 (pow.f64 r 4)))) (+.f64 (.f64 -6 (pow.f64 r 4)) (+.f64 (.f64 -24 (.f64 (+.f64 (.f64 1/6 (pow.f64 r 3)) (.f64 -1/6 r)) r)) (+.f64 (.f64 -3 (pow.f64 r 4)) (*.f64 12 (pow.f64 r 4)))))) (pow.f64 b 4))))))
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
1
(+.f64 1 (*.f64 (sin.f64 b) r))
(+.f64 1 (+.f64 (.f64 1/2 (.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))) (*.f64 (sin.f64 b) r)))
(+.f64 1 (+.f64 (.f64 1/2 (.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))) (+.f64 (.f64 (sin.f64 b) r) (.f64 1/6 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))))))
(exp.f64 (*.f64 (sin.f64 b) r))
(exp.f64 (*.f64 (sin.f64 b) r))
(exp.f64 (*.f64 (sin.f64 b) r))
(exp.f64 (*.f64 (sin.f64 b) r))
(exp.f64 (*.f64 (sin.f64 b) r))
(exp.f64 (*.f64 (sin.f64 b) r))
(exp.f64 (*.f64 (sin.f64 b) r))
(exp.f64 (*.f64 (sin.f64 b) r))
1
(+.f64 1 (*.f64 r b))
(+.f64 (.f64 1/2 (.f64 (pow.f64 b 2) (pow.f64 r 2))) (+.f64 1 (*.f64 r b)))
(+.f64 (.f64 (+.f64 (.f64 1/6 (pow.f64 r 3)) (.f64 -1/6 r)) (pow.f64 b 3)) (+.f64 (.f64 1/2 (.f64 (pow.f64 b 2) (pow.f64 r 2))) (+.f64 1 (.f64 r b))))
(exp.f64 (*.f64 (sin.f64 b) r))
(exp.f64 (*.f64 (sin.f64 b) r))
(exp.f64 (*.f64 (sin.f64 b) r))
(exp.f64 (*.f64 (sin.f64 b) r))
(exp.f64 (*.f64 (sin.f64 b) r))
(exp.f64 (*.f64 (sin.f64 b) r))
(exp.f64 (*.f64 (sin.f64 b) r))
(exp.f64 (*.f64 (sin.f64 b) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(+.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 (sin.f64 b) 2)) (pow.f64 (sin.f64 b) 2)) (pow.f64 r 2)) (cos.f64 (+.f64 a b)))))
(+.f64 (.f64 1/6 (/.f64 (.f64 (+.f64 (pow.f64 (sin.f64 b) 3) (+.f64 (.f64 2 (pow.f64 (sin.f64 b) 3)) (.f64 -3 (pow.f64 (sin.f64 b) 3)))) (pow.f64 r 3)) (cos.f64 (+.f64 a b)))) (+.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 (sin.f64 b) 2)) (pow.f64 (sin.f64 b) 2)) (pow.f64 r 2)) (cos.f64 (+.f64 a b))))))
(+.f64 (.f64 1/6 (/.f64 (.f64 (+.f64 (pow.f64 (sin.f64 b) 3) (+.f64 (.f64 2 (pow.f64 (sin.f64 b) 3)) (.f64 -3 (pow.f64 (sin.f64 b) 3)))) (pow.f64 r 3)) (cos.f64 (+.f64 a b)))) (+.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) (+.f64 (.f64 1/24 (/.f64 (.f64 (+.f64 (.f64 12 (pow.f64 (sin.f64 b) 4)) (+.f64 (.f64 -6 (pow.f64 (sin.f64 b) 4)) (+.f64 (.f64 -4 (pow.f64 (sin.f64 b) 4)) (+.f64 (pow.f64 (sin.f64 b) 4) (.f64 -3 (pow.f64 (sin.f64 b) 4)))))) (pow.f64 r 4)) (cos.f64 (+.f64 a b)))) (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 (sin.f64 b) 2)) (pow.f64 (sin.f64 b) 2)) (pow.f64 r 2)) (cos.f64 (+.f64 a b)))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 (-.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 r 2) (.f64 -1 (pow.f64 r 2))) (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2)))) (pow.f64 b 2)))
(+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 r 2) (.f64 -1 (pow.f64 r 2))) (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2)))) (pow.f64 b 2)) (.f64 (-.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 6 (+.f64 (.f64 1/6 (pow.f64 r 3)) (.f64 -1/6 r))) (+.f64 (.f64 -3 (pow.f64 r 3)) (.f64 2 (pow.f64 r 3)))) (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 r 2) (.f64 -1 (pow.f64 r 2))) (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (cos.f64 a))))) (pow.f64 b 3))))
(+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 r 2) (.f64 -1 (pow.f64 r 2))) (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2)))) (pow.f64 b 2)) (+.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 6 (+.f64 (.f64 1/6 (pow.f64 r 3)) (.f64 -1/6 r))) (+.f64 (.f64 -3 (pow.f64 r 3)) (.f64 2 (pow.f64 r 3)))) (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 r 2) (.f64 -1 (pow.f64 r 2))) (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (cos.f64 a))))) (pow.f64 b 3)) (.f64 (pow.f64 b 4) (-.f64 (.f64 1/24 (/.f64 (+.f64 (.f64 -6 (pow.f64 r 4)) (+.f64 (.f64 -24 (.f64 (+.f64 (.f64 1/6 (pow.f64 r 3)) (.f64 -1/6 r)) r)) (+.f64 (.f64 24 (+.f64 (.f64 1/24 (pow.f64 r 4)) (.f64 -1/6 (pow.f64 r 2)))) (+.f64 (.f64 -3 (pow.f64 r 4)) (.f64 12 (pow.f64 r 4)))))) (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 6 (+.f64 (.f64 1/6 (pow.f64 r 3)) (.f64 -1/6 r))) (+.f64 (.f64 -3 (pow.f64 r 3)) (.f64 2 (pow.f64 r 3)))) (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 r 2) (.f64 -1 (pow.f64 r 2))) (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (cos.f64 a)))))) (cos.f64 a))) (.f64 -1/2 (-.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 r 2) (.f64 -1 (pow.f64 r 2))) (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))))))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (.f64 1/6 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))

Outputs
(*.f64 (sin.f64 b) r)
(+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1 (pow.f64 (sin.f64 b) 2)) (pow.f64 (sin.f64 b) 2)) (pow.f64 r 2))) (.f64 (sin.f64 b) r))
(*.f64 (sin.f64 b) r)
(+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1 (pow.f64 (sin.f64 b) 2)) (pow.f64 (sin.f64 b) 2)) (pow.f64 r 2))) (+.f64 (.f64 1/6 (.f64 (pow.f64 r 3) (+.f64 (pow.f64 (sin.f64 b) 3) (+.f64 (.f64 2 (pow.f64 (sin.f64 b) 3)) (.f64 -3 (pow.f64 (sin.f64 b) 3)))))) (.f64 (sin.f64 b) r)))
(fma.f64 1/2 (.f64 (.f64 0 (pow.f64 (sin.f64 b) 2)) (.f64 r r)) (fma.f64 1/6 (.f64 (pow.f64 r 3) (+.f64 (pow.f64 (sin.f64 b) 3) (.f64 (pow.f64 (sin.f64 b) 3) -1))) (.f64 (sin.f64 b) r)))
(+.f64 (fma.f64 (sin.f64 b) r 0) (.f64 1/6 (.f64 (pow.f64 r 3) (fma.f64 (pow.f64 (sin.f64 b) 3) -1 (pow.f64 (sin.f64 b) 3)))))
(fma.f64 (sin.f64 b) r (.f64 (pow.f64 r 3) (.f64 1/6 (*.f64 (sin.f64 b) 0))))
(+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 -6 (pow.f64 (sin.f64 b) 4)) (+.f64 (.f64 12 (pow.f64 (sin.f64 b) 4)) (+.f64 (.f64 -4 (pow.f64 (sin.f64 b) 4)) (+.f64 (pow.f64 (sin.f64 b) 4) (.f64 -3 (pow.f64 (sin.f64 b) 4)))))) (pow.f64 r 4))) (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1 (pow.f64 (sin.f64 b) 2)) (pow.f64 (sin.f64 b) 2)) (pow.f64 r 2))) (+.f64 (.f64 1/6 (.f64 (pow.f64 r 3) (+.f64 (pow.f64 (sin.f64 b) 3) (+.f64 (.f64 2 (pow.f64 (sin.f64 b) 3)) (.f64 -3 (pow.f64 (sin.f64 b) 3)))))) (.f64 (sin.f64 b) r))))
(fma.f64 1/24 (.f64 (fma.f64 -6 (pow.f64 (sin.f64 b) 4) (fma.f64 12 (pow.f64 (sin.f64 b) 4) (fma.f64 -4 (pow.f64 (sin.f64 b) 4) (.f64 -2 (pow.f64 (sin.f64 b) 4))))) (pow.f64 r 4)) (fma.f64 1/2 (.f64 (.f64 0 (pow.f64 (sin.f64 b) 2)) (.f64 r r)) (fma.f64 1/6 (.f64 (pow.f64 r 3) (+.f64 (pow.f64 (sin.f64 b) 3) (.f64 (pow.f64 (sin.f64 b) 3) -1))) (.f64 (sin.f64 b) r))))
(+.f64 (fma.f64 (sin.f64 b) r (.f64 1/6 (.f64 (pow.f64 r 3) (fma.f64 (pow.f64 (sin.f64 b) 3) -1 (pow.f64 (sin.f64 b) 3))))) (fma.f64 1/24 (.f64 (pow.f64 r 4) (fma.f64 -6 (pow.f64 (sin.f64 b) 4) (.f64 (pow.f64 (sin.f64 b) 4) 6))) 0))
(fma.f64 1/24 (.f64 (pow.f64 r 4) (.f64 (pow.f64 (sin.f64 b) 4) 0)) (fma.f64 (sin.f64 b) r (.f64 (pow.f64 r 3) (.f64 1/6 (*.f64 (sin.f64 b) 0)))))
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 r b)
(*.f64 b r)
(+.f64 (.f64 r b) (.f64 1/2 (.f64 (pow.f64 b 2) (+.f64 (pow.f64 r 2) (.f64 -1 (pow.f64 r 2))))))
(fma.f64 r b (.f64 1/2 (.f64 (.f64 b b) (.f64 0 (*.f64 r r)))))
(fma.f64 b r (.f64 b (.f64 b 0)))
(fma.f64 b r 0)
(+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 6 (+.f64 (.f64 1/6 (pow.f64 r 3)) (.f64 -1/6 r))) (+.f64 (.f64 -3 (pow.f64 r 3)) (.f64 2 (pow.f64 r 3)))) (pow.f64 b 3))) (+.f64 (.f64 r b) (.f64 1/2 (.f64 (pow.f64 b 2) (+.f64 (pow.f64 r 2) (*.f64 -1 (pow.f64 r 2)))))))
(fma.f64 1/6 (.f64 (fma.f64 6 (fma.f64 1/6 (pow.f64 r 3) (.f64 r -1/6)) (.f64 (pow.f64 r 3) -1)) (pow.f64 b 3)) (fma.f64 r b (.f64 1/2 (.f64 (.f64 b b) (.f64 0 (.f64 r r))))))
(fma.f64 1/6 (.f64 (fma.f64 (pow.f64 r 3) -1 (+.f64 (.f64 (pow.f64 r 3) 1) (.f64 r -1))) (pow.f64 b 3)) (fma.f64 b r (.f64 b (*.f64 b 0))))
(fma.f64 1/6 (.f64 (+.f64 (.f64 (pow.f64 r 3) 0) (neg.f64 r)) (pow.f64 b 3)) (fma.f64 b r 0))
(+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 6 (+.f64 (.f64 1/6 (pow.f64 r 3)) (.f64 -1/6 r))) (+.f64 (.f64 -3 (pow.f64 r 3)) (.f64 2 (pow.f64 r 3)))) (pow.f64 b 3))) (+.f64 (.f64 r b) (+.f64 (.f64 1/2 (.f64 (pow.f64 b 2) (+.f64 (pow.f64 r 2) (.f64 -1 (pow.f64 r 2))))) (.f64 1/24 (.f64 (+.f64 (.f64 24 (+.f64 (.f64 -1/6 (pow.f64 r 2)) (.f64 1/24 (pow.f64 r 4)))) (+.f64 (.f64 -6 (pow.f64 r 4)) (+.f64 (.f64 -24 (.f64 (+.f64 (.f64 1/6 (pow.f64 r 3)) (.f64 -1/6 r)) r)) (+.f64 (.f64 -3 (pow.f64 r 4)) (*.f64 12 (pow.f64 r 4)))))) (pow.f64 b 4))))))
(fma.f64 1/6 (.f64 (fma.f64 6 (fma.f64 1/6 (pow.f64 r 3) (.f64 r -1/6)) (.f64 (pow.f64 r 3) -1)) (pow.f64 b 3)) (fma.f64 r b (fma.f64 1/2 (.f64 (.f64 b b) (.f64 0 (.f64 r r))) (.f64 1/24 (.f64 (fma.f64 24 (fma.f64 1/24 (pow.f64 r 4) (.f64 (.f64 r r) -1/6)) (fma.f64 -6 (pow.f64 r 4) (fma.f64 -24 (.f64 r (fma.f64 1/6 (pow.f64 r 3) (.f64 r -1/6))) (.f64 (pow.f64 r 4) 9)))) (pow.f64 b 4))))))
(fma.f64 1/6 (.f64 (fma.f64 (pow.f64 r 3) -1 (+.f64 (.f64 (pow.f64 r 3) 1) (.f64 r -1))) (pow.f64 b 3)) (fma.f64 b r (fma.f64 1/24 (.f64 (fma.f64 -6 (pow.f64 r 4) (fma.f64 -24 (.f64 r (fma.f64 1/6 (pow.f64 r 3) (.f64 r -1/6))) (fma.f64 (pow.f64 r 4) 9 (+.f64 (.f64 (.f64 r r) -4) (.f64 (pow.f64 r 4) 1))))) (pow.f64 b 4)) (.f64 b (*.f64 b 0)))))
(fma.f64 1/6 (.f64 (+.f64 (.f64 (pow.f64 r 3) 0) (neg.f64 r)) (pow.f64 b 3)) (fma.f64 b r (fma.f64 1/24 (.f64 (+.f64 (fma.f64 -24 (.f64 r (fma.f64 1/6 (pow.f64 r 3) (.f64 r -1/6))) (+.f64 (pow.f64 r 4) (.f64 (.f64 r r) -4))) (.f64 (pow.f64 r 4) 3)) (pow.f64 b 4)) 0)))
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
1
(+.f64 1 (*.f64 (sin.f64 b) r))
(+.f64 (*.f64 (sin.f64 b) r) 1)
(fma.f64 (sin.f64 b) r 1)
(+.f64 1 (+.f64 (.f64 1/2 (.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))) (*.f64 (sin.f64 b) r)))
(+.f64 1 (fma.f64 1/2 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 r r)) (*.f64 (sin.f64 b) r)))
(+.f64 1 (fma.f64 (sin.f64 b) r (.f64 1/2 (.f64 (pow.f64 (sin.f64 b) 2) (*.f64 r r)))))
(+.f64 1 (.f64 r (+.f64 (sin.f64 b) (.f64 (*.f64 1/2 (pow.f64 (sin.f64 b) 2)) r))))
(+.f64 1 (+.f64 (.f64 1/2 (.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))) (+.f64 (.f64 (sin.f64 b) r) (.f64 1/6 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))))))
(+.f64 1 (fma.f64 1/2 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 r r)) (fma.f64 (sin.f64 b) r (.f64 1/6 (.f64 (pow.f64 r 3) (pow.f64 (sin.f64 b) 3))))))
(+.f64 1 (fma.f64 1/2 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 r r)) (fma.f64 (sin.f64 b) r (.f64 (pow.f64 r 3) (.f64 1/6 (pow.f64 (sin.f64 b) 3))))))
(+.f64 1 (fma.f64 1/2 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 r r)) (fma.f64 1/6 (.f64 (pow.f64 r 3) (pow.f64 (sin.f64 b) 3)) (.f64 (sin.f64 b) r))))
(exp.f64 (*.f64 (sin.f64 b) r))
(pow.f64 (exp.f64 (sin.f64 b)) r)
(exp.f64 (*.f64 (sin.f64 b) r))
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1
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(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) (.f64 r a))))
(+.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (*.f64 r a)))
(+.f64 (.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) (.f64 (*.f64 (/.f64 r (pow.f64 (cos.f64 b) 2)) (pow.f64 (sin.f64 b) 2)) a))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) (.f64 r a))) (fma.f64 -1 (.f64 (.f64 a a) (fma.f64 -1 (/.f64 (.f64 r (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3)) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (-.f64 (.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (.f64 r a)) (.f64 a (.f64 a (-.f64 (.f64 -1/2 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)) (/.f64 r (/.f64 (pow.f64 (cos.f64 b) 3) (pow.f64 (sin.f64 b) 3))))))))
(+.f64 (.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) (-.f64 (.f64 (.f64 (/.f64 r (pow.f64 (cos.f64 b) 2)) (pow.f64 (sin.f64 b) 2)) a) (.f64 a (.f64 a (fma.f64 -1/2 (.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (neg.f64 r)))))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (.f64 1/6 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) (.f64 r a))) (fma.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) (fma.f64 -1 (/.f64 (.f64 r (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3)) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) r)) -1/3))) (fma.f64 -1 (.f64 (.f64 a a) (fma.f64 -1 (/.f64 (.f64 r (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3)) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))
(+.f64 (.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (.f64 r a)) (-.f64 (-.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (.f64 a (.f64 a (-.f64 (.f64 -1/2 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)) (/.f64 r (/.f64 (pow.f64 (cos.f64 b) 3) (pow.f64 (sin.f64 b) 3))))))) (.f64 (pow.f64 a 3) (fma.f64 (.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) r) -1/3 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (-.f64 (.f64 -1/2 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)) (/.f64 r (/.f64 (pow.f64 (cos.f64 b) 3) (pow.f64 (sin.f64 b) 3)))))))))
(+.f64 (.f64 (.f64 (/.f64 r (pow.f64 (cos.f64 b) 2)) (pow.f64 (sin.f64 b) 2)) a) (-.f64 (.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) (.f64 (.f64 a a) (+.f64 (.f64 (fma.f64 (.f64 (/.f64 r (pow.f64 (cos.f64 b) 2)) (pow.f64 (sin.f64 b) 2)) -1/3 (/.f64 (-.f64 (.f64 -1/2 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (cos.f64 b) r))) (/.f64 (pow.f64 (sin.f64 b) 4) (/.f64 (pow.f64 (cos.f64 b) 3) r))) (cos.f64 b))) a) (fma.f64 -1/2 (.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) (.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (neg.f64 r)))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)

eval615.0ms (3.4%)

Compiler: Compiled 28136 to 9583 computations (65.9% saved)

prune1.1s (6%)

Pruning

63 alts after pruning (61 fresh and 2 done)

	Pruned	Kept	Total
New	1031	54	1085
Fresh	34	7	41
Picked	1	0	1
Done	2	2	4
Total	1068	63	1131

Error

0.0b

Counts

1131 → 63

Alt Table

Click to see full alt table

Status	Error	Program
▶	41.0b	(*.f64 r b)
	31.0b	(/.f64 (cbrt.f64 (pow.f64 (.f64 r (sin.f64 b)) 3)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	0.6b	(/.f64 (.f64 r (sin.f64 b)) (log.f64 (/.f64 (exp.f64 (.f64 (cos.f64 b) (cos.f64 a))) (pow.f64 (exp.f64 (sin.f64 a)) (sin.f64 b)))))
	25.3b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
	0.4b	(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
	0.7b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2) (.f64 (cbrt.f64 (cos.f64 b)) (cos.f64 a)) (neg.f64 (.f64 (.f64 (sin.f64 b) (sin.f64 a)) -1))) (fma.f64 (.f64 (sin.f64 b) (sin.f64 a)) -1 (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1))))
	13.6b	(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
	28.1b	(/.f64 (.f64 r (sin.f64 b)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 (+.f64 b a)))))))
	13.7b	(/.f64 (.f64 1/3 (.f64 3 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
	0.5b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b)) (pow.f64 (cbrt.f64 (sin.f64 a)) 2)))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (cbrt.f64 (sin.f64 a)) 2) (.f64 (.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b)) (pow.f64 (cbrt.f64 (sin.f64 a)) 2)))))
	53.7b	(log.f64 (/.f64 1 (exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))))
	52.9b	(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (neg.f64 (cos.f64 (+.f64 b a)))))
	48.2b	(/.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3)) 1/3) (cos.f64 (+.f64 b a)))
	25.2b	(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
	0.4b	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (.f64 (sin.f64 b) (sin.f64 a))))))))
	0.9b	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) 2) (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	36.1b	(*.f64 (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1) b)
▶	0.3b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (.f64 (sin.f64 b) (sin.f64 a)) -1))) (fma.f64 (.f64 (sin.f64 b) (sin.f64 a)) -1 (.f64 (.f64 (sin.f64 b) (sin.f64 a)) -1))))
	13.8b	(/.f64 (.f64 3 (.f64 1/3 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
	29.4b	(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
	25.3b	(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
	14.3b	(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (+.f64 b a)))
	0.5b	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) 3) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) 2) (+.f64 (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 2) (.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))))))
	13.7b	(+.f64 0 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
	14.1b	(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3))
	47.6b	(*.f64 (exp.f64 (log.f64 (/.f64 r (cos.f64 a)))) b)
	29.4b	(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
	45.3b	(/.f64 (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) 1/3) (cos.f64 (+.f64 b a)))
▶	33.4b	(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 b) 2)))
	0.5b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (pow.f64 (cbrt.f64 (sin.f64 b)) 2)))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a))) (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (pow.f64 (cbrt.f64 (sin.f64 b)) 2)))))
	29.4b	(/.f64 b (/.f64 (cos.f64 a) r))
▶	52.9b	(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))
	33.9b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b))))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a))) (sqrt.f64 (sin.f64 b)) (.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b))))))
	29.4b	(/.f64 r (/.f64 (cos.f64 a) b))
	31.4b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 1 (.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (.f64 (.f64 (sqrt.f64 (sin.f64 a)) (sin.f64 b)) (sqrt.f64 (sin.f64 a))))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 (sin.f64 a)) (sin.f64 b))) (sqrt.f64 (sin.f64 a)) (.f64 (*.f64 (sqrt.f64 (sin.f64 a)) (sin.f64 b)) (sqrt.f64 (sin.f64 a))))))
	29.4b	(.f64 (.f64 (/.f64 1 (cos.f64 a)) r) b)
✓	0.3b	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	35.8b	(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
✓	29.3b	(*.f64 (/.f64 r (cos.f64 a)) b)
	29.9b	(/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b)) (cos.f64 a))
	28.7b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (.f64 b (-.f64 (.f64 (cos.f64 a) (.f64 -1/2 b)) (sin.f64 a)))))
	29.3b	(/.f64 (*.f64 r b) (cos.f64 a))
	27.1b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
	31.4b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (.f64 (sqrt.f64 (sin.f64 a)) (sin.f64 b)) (sqrt.f64 (sin.f64 a))))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 (sin.f64 a)) (sin.f64 b))) (sqrt.f64 (sin.f64 a)) (.f64 (.f64 (sqrt.f64 (sin.f64 a)) (sin.f64 b)) (sqrt.f64 (sin.f64 a))))))
	13.7b	(.f64 r (.f64 (sin.f64 b) (/.f64 1 (cos.f64 (+.f64 b a)))))
	1.2b	(/.f64 (pow.f64 (cbrt.f64 (.f64 r (sin.f64 b))) 3) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	22.2b	(/.f64 (expm1.f64 (log1p.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
	29.5b	(.f64 b (+.f64 (/.f64 r (cos.f64 a)) (.f64 (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) r) b)))
	33.3b	(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 a) 2)))
	28.0b	(/.f64 (pow.f64 (sqrt.f64 (.f64 r (sin.f64 b))) 2) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
▶	26.0b	(/.f64 (.f64 (cbrt.f64 (pow.f64 (sin.f64 b) 2)) (.f64 (cbrt.f64 (sin.f64 b)) r)) (cos.f64 (+.f64 b a)))
	28.4b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 (sin.f64 a) b)))
	1.0b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) 2) (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b)) (pow.f64 (cbrt.f64 (sin.f64 a)) 2)))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (cbrt.f64 (sin.f64 a)) 2) (.f64 (.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b)) (pow.f64 (cbrt.f64 (sin.f64 a)) 2)))))
	52.3b	(/.f64 (log.f64 (+.f64 1 (*.f64 (sin.f64 b) r))) (cos.f64 (+.f64 b a)))
	0.4b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
	36.8b	(exp.f64 (log.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))))
	13.7b	(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
	29.8b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 a)) b)) 3)
	14.3b	(pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))) 3)
	13.6b	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
	47.1b	(pow.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 3) 1/3)
	53.3b	(/.f64 (log.f64 1) (cos.f64 (+.f64 b a)))
	13.7b	(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))

Compiler

Compiled 2456 to 1500 computations (38.9% saved)

localize64.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 r (sin.f64 b))
✓	0.2b	(+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (.f64 (sin.f64 b) (sin.f64 a)) -1))) (fma.f64 (.f64 (sin.f64 b) (sin.f64 a)) -1 (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1)))
✓	0.2b	(*.f64 (sin.f64 b) (sin.f64 a))
✓	0.2b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (.f64 (sin.f64 b) (sin.f64 a)) -1))) (fma.f64 (.f64 (sin.f64 b) (sin.f64 a)) -1 (.f64 (.f64 (sin.f64 b) (sin.f64 a)) -1))))

Compiler

Compiled 127 to 42 computations (66.9% saved)

series15.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (.f64 (sin.f64 b) (sin.f64 a)) -1))) (fma.f64 (.f64 (sin.f64 b) (sin.f64 a)) -1 (.f64 (.f64 (sin.f64 b) (sin.f64 a)) -1))))
1.0ms	b	@	0	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (.f64 (sin.f64 b) (sin.f64 a)) -1))) (fma.f64 (.f64 (sin.f64 b) (sin.f64 a)) -1 (.f64 (.f64 (sin.f64 b) (sin.f64 a)) -1))))
1.0ms	r	@	0	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (.f64 (sin.f64 b) (sin.f64 a)) -1))) (fma.f64 (.f64 (sin.f64 b) (sin.f64 a)) -1 (.f64 (.f64 (sin.f64 b) (sin.f64 a)) -1))))
1.0ms	b	@	inf	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (.f64 (sin.f64 b) (sin.f64 a)) -1))) (fma.f64 (.f64 (sin.f64 b) (sin.f64 a)) -1 (.f64 (.f64 (sin.f64 b) (sin.f64 a)) -1))))
1.0ms	b	@	-inf	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (.f64 (sin.f64 b) (sin.f64 a)) -1))) (fma.f64 (.f64 (sin.f64 b) (sin.f64 a)) -1 (.f64 (.f64 (sin.f64 b) (sin.f64 a)) -1))))

rewrite178.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

636×	`fma-def_binary64`
333×	`fma-neg_binary64`
297×	`expm1-udef_binary64`
297×	`log1p-udef_binary64`
245×	`log-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	102
1	363	54
2	5175	50

Stop Event

1×	node limit

Counts

3 → 233

Calls

Call 1

Inputs

(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1))) (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1))))

(*.f64 (sin.f64 b) (sin.f64 a))

(+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1))) (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1)))

Outputs

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

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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (cos.f64 (-.f64 b a))) (sqrt.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2))) (-.f64 (sqrt.f64 (cos.f64 (-.f64 b a))) (sqrt.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2)) 2) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (cos.f64 (-.f64 b a))) (sqrt.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2))) (-.f64 (sqrt.f64 (cos.f64 (-.f64 b a))) (sqrt.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2))) (sqrt.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2)) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (cos.f64 b)) (sqrt.f64 (cos.f64 a))) (*.f64 (sqrt.f64 (cos.f64 b)) (sqrt.f64 (cos.f64 a))) (-.f64 (*.f64 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(-.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 b) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (cbrt.f64 (cos.f64 a)) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 b) (sqrt.f64 (cos.f64 a))) (sqrt.f64 (cos.f64 a)) (-.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 b) (sqrt.f64 (cos.f64 a))) (sqrt.f64 (cos.f64 a)) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (sin.f64 a)) 2)) (cbrt.f64 (sin.f64 a)) (fma.f64 (sin.f64 b) (sin.f64 a) (cos.f64 (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 b) (sqrt.f64 (sin.f64 a))) (sqrt.f64 (sin.f64 a)) (fma.f64 (sin.f64 b) (sin.f64 a) (cos.f64 (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 a) (pow.f64 (cbrt.f64 (sin.f64 b)) 2)) (cbrt.f64 (sin.f64 b)) (fma.f64 (sin.f64 b) (sin.f64 a) (cos.f64 (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 a) (sqrt.f64 (sin.f64 b))) (sqrt.f64 (sin.f64 b)) (fma.f64 (sin.f64 b) (sin.f64 a) (cos.f64 (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sin.f64 b)) (sin.f64 a) (fma.f64 (sin.f64 b) (sin.f64 a) (cos.f64 (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sin.f64 b)) (*.f64 (sin.f64 a) -1) (fma.f64 (sin.f64 b) (sin.f64 a) (cos.f64 (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) 2)) (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (fma.f64 (sin.f64 b) (sin.f64 a) (cos.f64 (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) (sqrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (fma.f64 (sin.f64 b) (sin.f64 a) (cos.f64 (-.f64 b a))))))))

simplify217.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

942×	`fma-def_binary64`
792×	`times-frac_binary64`
583×	`associate-/l*_binary64`
474×	`distribute-rgt-in_binary64`
454×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	167	2702
1	549	2499
2	2064	1984

Stop Event

1×	node limit

Counts

317 → 286

Calls

Call 1

Inputs
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -2 (sin.f64 a)) (.f64 -1 (sin.f64 a))) (.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2))) (/.f64 (.f64 r b) (cos.f64 a)))
(+.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (-.f64 (.f64 -2 (sin.f64 a)) (.f64 -1 (sin.f64 a))) 2) r) (pow.f64 (cos.f64 a) 3))) (.f64 -1/2 (/.f64 r (cos.f64 a))))) (pow.f64 b 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -2 (sin.f64 a)) (.f64 -1 (sin.f64 a))) (.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2))) (/.f64 (*.f64 r b) (cos.f64 a))))
(+.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (-.f64 (.f64 -2 (sin.f64 a)) (.f64 -1 (sin.f64 a))) 2) r) (pow.f64 (cos.f64 a) 3))) (.f64 -1/2 (/.f64 r (cos.f64 a))))) (pow.f64 b 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -2 (sin.f64 a)) (.f64 -1 (sin.f64 a))) (.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2))) (+.f64 (.f64 -1 (.f64 (pow.f64 b 4) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (-.f64 (.f64 -2 (sin.f64 a)) (.f64 -1 (sin.f64 a))) 2) r) (pow.f64 (cos.f64 a) 3))) (.f64 -1/2 (/.f64 r (cos.f64 a))))) (-.f64 (.f64 -2 (sin.f64 a)) (.f64 -1 (sin.f64 a)))) (cos.f64 a)) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 -2 (sin.f64 a)) (.f64 -1 (sin.f64 a))) r) (pow.f64 (cos.f64 a) 2))) (/.f64 (.f64 r (-.f64 (.f64 1/3 (sin.f64 a)) (.f64 1/6 (sin.f64 a)))) (pow.f64 (cos.f64 a) 2)))))) (/.f64 (*.f64 r b) (cos.f64 a)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) (.f64 a (.f64 (-.f64 (.f64 -2 (sin.f64 b)) (.f64 -1 (sin.f64 b))) r))) (pow.f64 (cos.f64 b) 2))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) (.f64 a (.f64 (-.f64 (.f64 -2 (sin.f64 b)) (.f64 -1 (sin.f64 b))) r))) (pow.f64 (cos.f64 b) 2))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) (.f64 r (pow.f64 (-.f64 (.f64 -2 (sin.f64 b)) (.f64 -1 (sin.f64 b))) 2))) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) (.f64 a (.f64 (-.f64 (.f64 -2 (sin.f64 b)) (.f64 -1 (sin.f64 b))) r))) (pow.f64 (cos.f64 b) 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 b) (.f64 r (-.f64 (.f64 -2 (sin.f64 b)) (.f64 -1 (sin.f64 b))))) (pow.f64 (cos.f64 b) 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -2 (sin.f64 b)) (.f64 -1 (sin.f64 b))) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) (.f64 r (pow.f64 (-.f64 (.f64 -2 (sin.f64 b)) (.f64 -1 (sin.f64 b))) 2))) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b))) (/.f64 (.f64 (sin.f64 b) (.f64 (-.f64 (.f64 1/3 (sin.f64 b)) (.f64 1/6 (sin.f64 b))) r)) (pow.f64 (cos.f64 b) 2)))) (pow.f64 a 3))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) (.f64 r (pow.f64 (-.f64 (.f64 -2 (sin.f64 b)) (.f64 -1 (sin.f64 b))) 2))) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))))
(*.f64 (sin.f64 a) b)
(+.f64 (.f64 -1/6 (.f64 (sin.f64 a) (pow.f64 b 3))) (*.f64 (sin.f64 a) b))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 a) (pow.f64 b 3))) (+.f64 (.f64 (sin.f64 a) b) (.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5)))))
(+.f64 (.f64 -1/5040 (.f64 (sin.f64 a) (pow.f64 b 7))) (+.f64 (.f64 -1/6 (.f64 (sin.f64 a) (pow.f64 b 3))) (+.f64 (.f64 (sin.f64 a) b) (.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5))))))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 b) a)
(+.f64 (.f64 -1/6 (.f64 (sin.f64 b) (pow.f64 a 3))) (*.f64 (sin.f64 b) a))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (.f64 1/120 (.f64 (sin.f64 b) (pow.f64 a 5))) (*.f64 (sin.f64 b) a)))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (.f64 -1/5040 (.f64 (sin.f64 b) (pow.f64 a 7))) (+.f64 (.f64 1/120 (.f64 (sin.f64 b) (pow.f64 a 5))) (*.f64 (sin.f64 b) a))))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(cos.f64 a)
(+.f64 (cos.f64 a) (.f64 (-.f64 (.f64 -2 (sin.f64 a)) (*.f64 -1 (sin.f64 a))) b))
(+.f64 (cos.f64 a) (+.f64 (.f64 (-.f64 (.f64 -2 (sin.f64 a)) (.f64 -1 (sin.f64 a))) b) (.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(+.f64 (cos.f64 a) (+.f64 (.f64 (-.f64 (.f64 -2 (sin.f64 a)) (.f64 -1 (sin.f64 a))) b) (+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 1/3 (sin.f64 a)) (.f64 1/6 (sin.f64 a)))) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2))))))
(-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))))
(-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))))
(-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))))
(-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(cos.f64 b)
(+.f64 (.f64 a (-.f64 (.f64 -2 (sin.f64 b)) (*.f64 -1 (sin.f64 b)))) (cos.f64 b))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (+.f64 (.f64 a (-.f64 (.f64 -2 (sin.f64 b)) (*.f64 -1 (sin.f64 b)))) (cos.f64 b)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (+.f64 (.f64 a (-.f64 (.f64 -2 (sin.f64 b)) (.f64 -1 (sin.f64 b)))) (+.f64 (.f64 (pow.f64 a 3) (-.f64 (.f64 1/3 (sin.f64 b)) (.f64 1/6 (sin.f64 b)))) (cos.f64 b))))
(-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))))
(-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))))
(-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))))
(-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))))
(-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))))
(-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))))
(-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))))
(-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))))

Outputs
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (fma.f64 -2 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
(.f64 (/.f64 (sin.f64 b) (fma.f64 -2 (.f64 (sin.f64 b) (sin.f64 a)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))) r)
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (fma.f64 -2 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
(.f64 (/.f64 (sin.f64 b) (fma.f64 -2 (.f64 (sin.f64 b) (sin.f64 a)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))) r)
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (fma.f64 -2 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
(.f64 (/.f64 (sin.f64 b) (fma.f64 -2 (.f64 (sin.f64 b) (sin.f64 a)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))) r)
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (fma.f64 -2 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
(.f64 (/.f64 (sin.f64 b) (fma.f64 -2 (.f64 (sin.f64 b) (sin.f64 a)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))) r)
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (fma.f64 -2 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
(.f64 (/.f64 (sin.f64 b) (fma.f64 -2 (.f64 (sin.f64 b) (sin.f64 a)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))) r)
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (fma.f64 -2 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
(.f64 (/.f64 (sin.f64 b) (fma.f64 -2 (.f64 (sin.f64 b) (sin.f64 a)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))) r)
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (fma.f64 -2 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
(.f64 (/.f64 (sin.f64 b) (fma.f64 -2 (.f64 (sin.f64 b) (sin.f64 a)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))) r)
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (fma.f64 -2 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
(.f64 (/.f64 (sin.f64 b) (fma.f64 -2 (.f64 (sin.f64 b) (sin.f64 a)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))) r)
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (fma.f64 -2 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
(.f64 (/.f64 (sin.f64 b) (fma.f64 -2 (.f64 (sin.f64 b) (sin.f64 a)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))) r)
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (fma.f64 -2 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
(.f64 (/.f64 (sin.f64 b) (fma.f64 -2 (.f64 (sin.f64 b) (sin.f64 a)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))) r)
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (fma.f64 -2 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
(.f64 (/.f64 (sin.f64 b) (fma.f64 -2 (.f64 (sin.f64 b) (sin.f64 a)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))) r)
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (fma.f64 -2 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
(.f64 (/.f64 (sin.f64 b) (fma.f64 -2 (.f64 (sin.f64 b) (sin.f64 a)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))) r)
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 r (cos.f64 a)) b)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -2 (sin.f64 a)) (.f64 -1 (sin.f64 a))) (.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2))) (/.f64 (.f64 r b) (cos.f64 a)))
(fma.f64 -1 (/.f64 (.f64 (neg.f64 (sin.f64 a)) (.f64 r (*.f64 b b))) (pow.f64 (cos.f64 a) 2)) (/.f64 b (/.f64 (cos.f64 a) r)))
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(-.f64 (fma.f64 -2 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(fma.f64 -2 (.f64 (sin.f64 b) (sin.f64 a)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))))
(-.f64 (fma.f64 -2 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(fma.f64 -2 (.f64 (sin.f64 b) (sin.f64 a)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))))
(-.f64 (fma.f64 -2 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(fma.f64 -2 (.f64 (sin.f64 b) (sin.f64 a)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))))
(-.f64 (fma.f64 -2 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(fma.f64 -2 (.f64 (sin.f64 b) (sin.f64 a)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))))
(-.f64 (fma.f64 -2 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(fma.f64 -2 (.f64 (sin.f64 b) (sin.f64 a)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))))
(-.f64 (fma.f64 -2 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(fma.f64 -2 (.f64 (sin.f64 b) (sin.f64 a)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))

localize8.0ms (0%)

Compiler: Compiled 8 to 4 computations (50% saved)

localize65.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (cos.f64 (+.f64 b a)) r)
✓	0.3b	(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
	3.5b	(cos.f64 (+.f64 b a))

Compiler

Compiled 40 to 9 computations (77.5% saved)

series13.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
1.0ms	b	@	0	(/.f64 (cos.f64 (+.f64 b a)) r)
1.0ms	r	@	0	(/.f64 (cos.f64 (+.f64 b a)) r)
1.0ms	r	@	-inf	(/.f64 (cos.f64 (+.f64 b a)) r)
1.0ms	a	@	0	(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))

rewrite97.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

610×	`prod-diff_binary64`
583×	`log-prod_binary64`
298×	`pow2_binary64`
208×	`fma-def_binary64`
207×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	206	23
2	3119	23

Stop Event

1×	node limit

Counts

2 → 89

Calls

Call 1

Inputs
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (cos.f64 (+.f64 b a)) r)

Outputs

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

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

simplify61.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

691×	`associate-r_binary64`
626×	`associate-l_binary64`
431×	`fma-def_binary64`
414×	`associate-/l*_binary64`
372×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	134	1407
1	414	1360
2	1397	1327

Stop Event

1×	node limit

Counts

161 → 126

Calls

Call 1

Inputs
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 4))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (.f64 1/6 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (cos.f64 a) r)
(+.f64 (/.f64 (cos.f64 a) r) (.f64 -1 (/.f64 (.f64 (sin.f64 a) b) r)))
(+.f64 (/.f64 (cos.f64 a) r) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) b) r)) (.f64 -1/2 (/.f64 (.f64 (cos.f64 a) (pow.f64 b 2)) r))))
(+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 a) (pow.f64 b 3)) r)) (+.f64 (/.f64 (cos.f64 a) r) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) b) r)) (.f64 -1/2 (/.f64 (.f64 (cos.f64 a) (pow.f64 b 2)) r)))))
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r)
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r)
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r)
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r)
(/.f64 (cos.f64 b) r)
(+.f64 (/.f64 (cos.f64 b) r) (.f64 -1 (/.f64 (.f64 (sin.f64 b) a) r)))
(+.f64 (/.f64 (cos.f64 b) r) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 2) (cos.f64 b)) r)) (.f64 -1 (/.f64 (.f64 (sin.f64 b) a) r))))
(+.f64 (/.f64 (cos.f64 b) r) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 2) (cos.f64 b)) r)) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) a) r)) (.f64 1/6 (/.f64 (.f64 (sin.f64 b) (pow.f64 a 3)) r)))))
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r)
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r)
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r)
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)

Outputs
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 r (/.f64 b (cos.f64 a)))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 r (/.f64 (cos.f64 a) b)) (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (.f64 r (.f64 b b)))))
(+.f64 (/.f64 r (/.f64 (cos.f64 a) b)) (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (.f64 b (.f64 b r)))))
(fma.f64 (/.f64 r (cos.f64 a)) b (.f64 (.f64 b (*.f64 b r)) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (.f64 r (.f64 b b)))) (+.f64 (/.f64 r (/.f64 (cos.f64 a) b)) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (fma.f64 -1/2 (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (.f64 b (.f64 b r)))) (fma.f64 (pow.f64 b 3) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) 1/3) (/.f64 (neg.f64 (pow.f64 (sin.f64 a) 2)) (/.f64 (pow.f64 (cos.f64 a) 3) r))) (/.f64 r (/.f64 (cos.f64 a) b))))
(fma.f64 (pow.f64 b 3) (fma.f64 (/.f64 r (cos.f64 a)) 1/3 (.f64 r (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))) (fma.f64 (/.f64 r (cos.f64 a)) b (.f64 (.f64 b (.f64 b r)) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 4))))))
(+.f64 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (.f64 r (.f64 b b)))) (+.f64 (/.f64 r (/.f64 (cos.f64 a) b)) (fma.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (fma.f64 -1/2 (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (.f64 r (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3))))) (neg.f64 (.f64 (fma.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (fma.f64 -1/2 (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (.f64 r (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a)) (*.f64 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) r)) -1/3)) (pow.f64 b 4))))))
(+.f64 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (.f64 b (.f64 b r)))) (-.f64 (fma.f64 (pow.f64 b 3) (-.f64 (.f64 (/.f64 r (cos.f64 a)) 1/3) (/.f64 (neg.f64 (pow.f64 (sin.f64 a) 2)) (/.f64 (pow.f64 (cos.f64 a) 3) r))) (/.f64 r (/.f64 (cos.f64 a) b))) (.f64 (-.f64 (/.f64 (.f64 (sin.f64 a) -1/3) (/.f64 (pow.f64 (cos.f64 a) 2) r)) (.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) 1/3) (/.f64 (neg.f64 (pow.f64 (sin.f64 a) 2)) (/.f64 (pow.f64 (cos.f64 a) 3) r))))) (pow.f64 b 4))))
(-.f64 (fma.f64 (pow.f64 b 3) (fma.f64 (/.f64 r (cos.f64 a)) 1/3 (.f64 r (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))) (fma.f64 (/.f64 r (cos.f64 a)) b (.f64 (.f64 b (.f64 b r)) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))))) (.f64 (-.f64 (.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (.f64 r -1/3)) (.f64 (fma.f64 (/.f64 r (cos.f64 a)) 1/3 (*.f64 r (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))) (/.f64 (sin.f64 a) (cos.f64 a)))) (pow.f64 b 4)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)) (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) (*.f64 r a))))
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (.f64 (.f64 (/.f64 r (pow.f64 (cos.f64 b) 2)) (pow.f64 (sin.f64 b) 2)) a))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) (.f64 r a))) (fma.f64 -1 (.f64 (.f64 a a) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (/.f64 (pow.f64 (cos.f64 b) 3) r)) (.f64 -1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))))) (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))))
(+.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)) (-.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) (.f64 r a))) (.f64 a (.f64 a (-.f64 (.f64 -1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) r))))))
(fma.f64 (.f64 a a) (neg.f64 (fma.f64 -1/2 (.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) (.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (neg.f64 r)))) (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (.f64 (*.f64 (/.f64 r (pow.f64 (cos.f64 b) 2)) (pow.f64 (sin.f64 b) 2)) a)))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (.f64 1/6 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) (.f64 r a))) (fma.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (/.f64 (pow.f64 (cos.f64 b) 3) r)) (.f64 -1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)))))) (.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) r)) -1/3))) (fma.f64 -1 (.f64 (.f64 a a) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (/.f64 (pow.f64 (cos.f64 b) 3) r)) (*.f64 -1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))))) (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) (.f64 r a))) (-.f64 (-.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)) (.f64 a (.f64 a (-.f64 (.f64 -1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))) (.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) r))))) (.f64 (pow.f64 a 3) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) r)) -1/3 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (-.f64 (.f64 -1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) r)))))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (.f64 r a) (-.f64 (.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) (.f64 (.f64 a a) (+.f64 (.f64 a (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (fma.f64 -1/2 (.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) (.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (neg.f64 r))) (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 b) 2) r) -1/3)))) (fma.f64 -1/2 (.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (neg.f64 r)))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (cos.f64 a) r)
(+.f64 (/.f64 (cos.f64 a) r) (.f64 -1 (/.f64 (.f64 (sin.f64 a) b) r)))
(+.f64 (/.f64 (cos.f64 a) r) (neg.f64 (/.f64 (sin.f64 a) (/.f64 r b))))
(-.f64 (/.f64 (cos.f64 a) r) (*.f64 (/.f64 (sin.f64 a) r) b))
(-.f64 (/.f64 (cos.f64 a) r) (*.f64 (/.f64 b r) (sin.f64 a)))
(+.f64 (/.f64 (cos.f64 a) r) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) b) r)) (.f64 -1/2 (/.f64 (.f64 (cos.f64 a) (pow.f64 b 2)) r))))
(+.f64 (/.f64 (cos.f64 a) r) (fma.f64 -1 (/.f64 (sin.f64 a) (/.f64 r b)) (.f64 -1/2 (/.f64 (cos.f64 a) (/.f64 r (.f64 b b))))))
(+.f64 (-.f64 (/.f64 (cos.f64 a) r) (.f64 (/.f64 (sin.f64 a) r) b)) (/.f64 -1/2 (/.f64 r (.f64 (cos.f64 a) (*.f64 b b)))))
(-.f64 (fma.f64 -1/2 (.f64 (/.f64 (cos.f64 a) (/.f64 r b)) b) (/.f64 (cos.f64 a) r)) (.f64 (/.f64 b r) (sin.f64 a)))
(+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 a) (pow.f64 b 3)) r)) (+.f64 (/.f64 (cos.f64 a) r) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) b) r)) (.f64 -1/2 (/.f64 (.f64 (cos.f64 a) (pow.f64 b 2)) r)))))
(fma.f64 1/6 (/.f64 (sin.f64 a) (/.f64 r (pow.f64 b 3))) (+.f64 (/.f64 (cos.f64 a) r) (fma.f64 -1 (/.f64 (sin.f64 a) (/.f64 r b)) (.f64 -1/2 (/.f64 (cos.f64 a) (/.f64 r (.f64 b b)))))))
(+.f64 (-.f64 (/.f64 -1/2 (/.f64 r (.f64 (cos.f64 a) (.f64 b b)))) (.f64 (/.f64 (sin.f64 a) r) b)) (fma.f64 1/6 (.f64 (/.f64 (sin.f64 a) r) (pow.f64 b 3)) (/.f64 (cos.f64 a) r)))
(fma.f64 1/6 (.f64 (/.f64 (pow.f64 b 3) r) (sin.f64 a)) (-.f64 (fma.f64 -1/2 (.f64 (/.f64 (cos.f64 a) (/.f64 r b)) b) (/.f64 (cos.f64 a) r)) (*.f64 (/.f64 b r) (sin.f64 a))))
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 b) r)
(+.f64 (/.f64 (cos.f64 b) r) (.f64 -1 (/.f64 (.f64 (sin.f64 b) a) r)))
(+.f64 (/.f64 (cos.f64 b) r) (neg.f64 (/.f64 (sin.f64 b) (/.f64 r a))))
(-.f64 (/.f64 (cos.f64 b) r) (/.f64 (sin.f64 b) (/.f64 r a)))
(-.f64 (/.f64 (cos.f64 b) r) (*.f64 a (/.f64 (sin.f64 b) r)))
(+.f64 (/.f64 (cos.f64 b) r) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 2) (cos.f64 b)) r)) (.f64 -1 (/.f64 (.f64 (sin.f64 b) a) r))))
(+.f64 (/.f64 (cos.f64 b) r) (fma.f64 -1/2 (/.f64 (*.f64 a a) (/.f64 r (cos.f64 b))) (neg.f64 (/.f64 (sin.f64 b) (/.f64 r a)))))
(+.f64 (/.f64 (cos.f64 b) r) (fma.f64 -1/2 (.f64 (/.f64 (.f64 a a) r) (cos.f64 b)) (/.f64 (*.f64 (neg.f64 a) (sin.f64 b)) r)))
(-.f64 (fma.f64 -1/2 (/.f64 (cos.f64 b) (/.f64 (/.f64 r a) a)) (/.f64 (cos.f64 b) r)) (*.f64 a (/.f64 (sin.f64 b) r)))
(+.f64 (/.f64 (cos.f64 b) r) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 2) (cos.f64 b)) r)) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) a) r)) (.f64 1/6 (/.f64 (.f64 (sin.f64 b) (pow.f64 a 3)) r)))))
(+.f64 (/.f64 (cos.f64 b) r) (fma.f64 -1/2 (/.f64 (.f64 a a) (/.f64 r (cos.f64 b))) (fma.f64 -1 (/.f64 (sin.f64 b) (/.f64 r a)) (.f64 1/6 (/.f64 (sin.f64 b) (/.f64 r (pow.f64 a 3)))))))
(+.f64 (/.f64 (cos.f64 b) r) (fma.f64 -1/2 (.f64 (/.f64 (.f64 a a) r) (cos.f64 b)) (-.f64 (/.f64 1/6 (/.f64 r (*.f64 (sin.f64 b) (pow.f64 a 3)))) (/.f64 (sin.f64 b) (/.f64 r a)))))
(+.f64 (/.f64 (cos.f64 b) r) (-.f64 (fma.f64 1/6 (.f64 (pow.f64 a 3) (/.f64 (sin.f64 b) r)) (.f64 -1/2 (/.f64 (cos.f64 b) (/.f64 (/.f64 r a) a)))) (*.f64 a (/.f64 (sin.f64 b) r))))
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)

localize49.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (pow.f64 (cos.f64 b) 2))
✓	0.1b	(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 b) 2)))
	0.1b	(*.f64 r (sin.f64 b))
✓	0.2b	(pow.f64 (cos.f64 b) 2)

Compiler

Compiled 33 to 16 computations (51.5% saved)

series19.0ms (0.1%)

Counts

3 → 40

Calls

12 calls:

Time	Variable		Point	Expression
9.0ms	b	@	inf	(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 b) 2)))
1.0ms	b	@	0	(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 b) 2)))
1.0ms	b	@	-inf	(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 b) 2)))
1.0ms	r	@	inf	(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 b) 2)))
1.0ms	r	@	0	(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 b) 2)))

rewrite178.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

954×	`pow1_binary64`
885×	`add-log-exp_binary64`
885×	`log1p-expm1-u_binary64`
885×	`expm1-log1p-u_binary64`
94×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	209	20
2	2395	20

Stop Event

1×	node limit

Counts

3 → 83

Calls

Call 1

Inputs
(pow.f64 (cos.f64 b) 2)
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 b) 2)))
(sqrt.f64 (pow.f64 (cos.f64 b) 2))

Outputs

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

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

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

simplify71.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

656×	`unsub-neg_binary64`
513×	`associate-+l+_binary64`
402×	`associate-+r+_binary64`
337×	`distribute-rgt-in_binary64`
323×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	481
1	185	448
2	517	419
3	2128	415
4	6832	415

Stop Event

1×	node limit

Counts

123 → 106

Calls

Call 1

Inputs
1
(+.f64 (*.f64 -1 (pow.f64 b 2)) 1)
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 1 (.f64 1/3 (pow.f64 b 4))))
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 1 (+.f64 (.f64 1/3 (pow.f64 b 4)) (*.f64 -2/45 (pow.f64 b 6)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r b)
(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (.f64 r b))
(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (+.f64 (.f64 r b) (.f64 (pow.f64 b 5) (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r))))))))
(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (+.f64 (.f64 (-.f64 (.f64 -1/5040 r) (+.f64 (.f64 -1/2 (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))) (+.f64 (.f64 -1/720 r) (.f64 1/24 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))) (pow.f64 b 7)) (+.f64 (.f64 r b) (.f64 (pow.f64 b 5) (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 b 2)))
(+.f64 (.f64 1/24 (pow.f64 b 4)) (+.f64 1 (.f64 -1/2 (pow.f64 b 2))))
(+.f64 (.f64 1/24 (pow.f64 b 4)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 b 2)) (*.f64 -1/720 (pow.f64 b 6)))))
(cos.f64 b)
(cos.f64 b)
(cos.f64 b)
(cos.f64 b)
(cos.f64 b)
(cos.f64 b)
(cos.f64 b)
(cos.f64 b)

Outputs
1
(+.f64 (*.f64 -1 (pow.f64 b 2)) 1)
(fma.f64 -1 (*.f64 b b) 1)
(-.f64 1 (*.f64 b b))
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 1 (.f64 1/3 (pow.f64 b 4))))
(fma.f64 -1 (.f64 b b) (+.f64 1 (.f64 1/3 (pow.f64 b 4))))
(-.f64 (fma.f64 1/3 (pow.f64 b 4) 1) (*.f64 b b))
(-.f64 (*.f64 1/3 (pow.f64 b 4)) (fma.f64 b b -1))
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 1 (+.f64 (.f64 1/3 (pow.f64 b 4)) (*.f64 -2/45 (pow.f64 b 6)))))
(+.f64 (fma.f64 -1 (.f64 b b) 1) (fma.f64 1/3 (pow.f64 b 4) (.f64 -2/45 (pow.f64 b 6))))
(+.f64 (-.f64 1 (.f64 b b)) (fma.f64 -2/45 (pow.f64 b 6) (.f64 1/3 (pow.f64 b 4))))
(-.f64 (fma.f64 1/3 (pow.f64 b 4) (fma.f64 -2/45 (pow.f64 b 6) 1)) (*.f64 b b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(*.f64 r b)
(*.f64 b r)
(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (.f64 r b))
(fma.f64 (.f64 r 1/3) (pow.f64 b 3) (.f64 b r))
(fma.f64 (.f64 1/3 r) (pow.f64 b 3) (.f64 b r))
(.f64 r (+.f64 b (.f64 1/3 (pow.f64 b 3))))
(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (+.f64 (.f64 r b) (.f64 (pow.f64 b 5) (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r))))))))
(fma.f64 (.f64 r 1/3) (pow.f64 b 3) (fma.f64 r b (.f64 (pow.f64 b 5) (-.f64 (.f64 r 1/120) (fma.f64 1/24 r (.f64 -1/2 (*.f64 r 1/3)))))))
(fma.f64 (.f64 1/3 r) (pow.f64 b 3) (fma.f64 (pow.f64 b 5) (-.f64 (.f64 r -1/30) (.f64 r -1/6)) (.f64 b r)))
(fma.f64 (pow.f64 b 5) (.f64 r 2/15) (.f64 r (+.f64 b (*.f64 1/3 (pow.f64 b 3)))))
(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (+.f64 (.f64 (-.f64 (.f64 -1/5040 r) (+.f64 (.f64 -1/2 (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))) (+.f64 (.f64 -1/720 r) (.f64 1/24 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))) (pow.f64 b 7)) (+.f64 (.f64 r b) (.f64 (pow.f64 b 5) (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))))))
(fma.f64 (.f64 r 1/3) (pow.f64 b 3) (fma.f64 (-.f64 (.f64 r -1/5040) (fma.f64 -1/2 (-.f64 (.f64 r 1/120) (fma.f64 1/24 r (.f64 -1/2 (.f64 r 1/3)))) (fma.f64 -1/720 r (.f64 (.f64 r 1/3) 1/24)))) (pow.f64 b 7) (fma.f64 r b (.f64 (pow.f64 b 5) (-.f64 (.f64 r 1/120) (fma.f64 1/24 r (.f64 -1/2 (*.f64 r 1/3))))))))
(fma.f64 (.f64 1/3 r) (pow.f64 b 3) (fma.f64 (-.f64 (.f64 r -1/5040) (fma.f64 -1/2 (-.f64 (.f64 r -1/30) (.f64 r -1/6)) (fma.f64 r -1/720 (.f64 r 1/72)))) (pow.f64 b 7) (fma.f64 (pow.f64 b 5) (-.f64 (.f64 r -1/30) (.f64 r -1/6)) (.f64 b r))))
(fma.f64 (-.f64 (.f64 r -1/5040) (fma.f64 -1/2 (.f64 r 2/15) (.f64 r 1/80))) (pow.f64 b 7) (fma.f64 (pow.f64 b 5) (.f64 r 2/15) (.f64 r (+.f64 b (.f64 1/3 (pow.f64 b 3))))))
(fma.f64 (+.f64 (.f64 -1/2 (.f64 r -2/15)) (.f64 r -4/315)) (pow.f64 b 7) (fma.f64 (pow.f64 b 5) (.f64 r 2/15) (.f64 r (+.f64 b (.f64 1/3 (pow.f64 b 3))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 b 2)))
(+.f64 1 (.f64 (.f64 b b) -1/2))
(fma.f64 (*.f64 b b) -1/2 1)
(fma.f64 b (*.f64 b -1/2) 1)
(+.f64 (.f64 1/24 (pow.f64 b 4)) (+.f64 1 (.f64 -1/2 (pow.f64 b 2))))
(fma.f64 1/24 (pow.f64 b 4) (+.f64 1 (.f64 (.f64 b b) -1/2)))
(fma.f64 (pow.f64 b 4) 1/24 (fma.f64 (*.f64 b b) -1/2 1))
(fma.f64 (pow.f64 b 4) 1/24 (fma.f64 b (*.f64 b -1/2) 1))
(+.f64 (.f64 1/24 (pow.f64 b 4)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 b 2)) (*.f64 -1/720 (pow.f64 b 6)))))
(fma.f64 1/24 (pow.f64 b 4) (+.f64 1 (fma.f64 -1/2 (.f64 b b) (.f64 (pow.f64 b 6) -1/720))))
(+.f64 (fma.f64 (pow.f64 b 4) 1/24 (fma.f64 (.f64 b b) -1/2 1)) (.f64 (pow.f64 b 6) -1/720))
(fma.f64 (pow.f64 b 4) 1/24 (fma.f64 b (*.f64 b -1/2) (fma.f64 (pow.f64 b 6) -1/720 1)))
(fma.f64 (pow.f64 b 4) 1/24 (fma.f64 (pow.f64 b 6) -1/720 (fma.f64 (*.f64 b b) -1/2 1)))
(cos.f64 b)
(cos.f64 b)
(cos.f64 b)
(cos.f64 b)
(cos.f64 b)
(cos.f64 b)
(cos.f64 b)
(cos.f64 b)

localize52.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (cbrt.f64 (pow.f64 (sin.f64 b) 2)) (.f64 (cbrt.f64 (sin.f64 b)) r))
✓	0.6b	(cbrt.f64 (sin.f64 b))
	3.5b	(cos.f64 (+.f64 b a))
✓	19.6b	(cbrt.f64 (pow.f64 (sin.f64 b) 2))

Compiler

Compiled 60 to 23 computations (61.7% saved)

series31.0ms (0.2%)

Counts

3 → 40

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	b	@	inf	(cbrt.f64 (pow.f64 (sin.f64 b) 2))
6.0ms	b	@	-inf	(cbrt.f64 (pow.f64 (sin.f64 b) 2))
5.0ms	r	@	0	(.f64 (cbrt.f64 (pow.f64 (sin.f64 b) 2)) (.f64 (cbrt.f64 (sin.f64 b)) r))
3.0ms	b	@	inf	(.f64 (cbrt.f64 (pow.f64 (sin.f64 b) 2)) (.f64 (cbrt.f64 (sin.f64 b)) r))
3.0ms	b	@	inf	(cbrt.f64 (sin.f64 b))

rewrite127.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

823×	`pow1_binary64`
757×	`add-log-exp_binary64`
757×	`log1p-expm1-u_binary64`
757×	`expm1-log1p-u_binary64`
737×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	198	19
2	2239	19

Stop Event

1×	node limit

Counts

3 → 56

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (sin.f64 b) 2))
(cbrt.f64 (sin.f64 b))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 b) 2)) (.f64 (cbrt.f64 (sin.f64 b)) r))

Outputs

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

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

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

simplify190.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1156×	`fma-def_binary64`
661×	`sqr-pow_binary64`
614×	`unswap-sqr_binary64`
579×	`cube-prod_binary64`
464×	`fabs-mul_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	31	300
1	88	297
2	223	286
3	641	284
4	1706	282
5	2644	282
6	3064	282
7	3975	282
8	4177	282
9	4481	282
10	4941	282
11	5665	282
12	6612	282
13	7443	282

Stop Event

1×	node limit

Counts

96 → 67

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (sin.f64 b) 2) 1/3)
(pow.f64 (pow.f64 (sin.f64 b) 2) 1/3)
(pow.f64 (pow.f64 (sin.f64 b) 2) 1/3)
(pow.f64 (pow.f64 (sin.f64 b) 2) 1/3)
(pow.f64 (pow.f64 (sin.f64 b) 2) 1/3)
(pow.f64 (pow.f64 (sin.f64 b) 2) 1/3)
(pow.f64 (pow.f64 (sin.f64 b) 2) 1/3)
(pow.f64 (pow.f64 (sin.f64 b) 2) 1/3)
(pow.f64 (sin.f64 b) 1/3)
(pow.f64 (sin.f64 b) 1/3)
(pow.f64 (sin.f64 b) 1/3)
(pow.f64 (sin.f64 b) 1/3)
(pow.f64 (sin.f64 b) 1/3)
(pow.f64 (sin.f64 b) 1/3)
(pow.f64 (sin.f64 b) 1/3)
(pow.f64 (sin.f64 b) 1/3)
(*.f64 r b)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (+.f64 (.f64 r b) (.f64 1/120 (*.f64 (pow.f64 b 5) r))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 b 7) r)) (+.f64 (.f64 r b) (.f64 1/120 (*.f64 (pow.f64 b 5) r)))))
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)

Outputs
(pow.f64 (pow.f64 (sin.f64 b) 2) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 b) 2))
(pow.f64 (pow.f64 (sin.f64 b) 2) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 b) 2))
(pow.f64 (pow.f64 (sin.f64 b) 2) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 b) 2))
(pow.f64 (pow.f64 (sin.f64 b) 2) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 b) 2))
(pow.f64 (pow.f64 (sin.f64 b) 2) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 b) 2))
(pow.f64 (pow.f64 (sin.f64 b) 2) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 b) 2))
(pow.f64 (pow.f64 (sin.f64 b) 2) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 b) 2))
(pow.f64 (pow.f64 (sin.f64 b) 2) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 b) 2))
(pow.f64 (sin.f64 b) 1/3)
(cbrt.f64 (sin.f64 b))
(pow.f64 (sin.f64 b) 1/3)
(cbrt.f64 (sin.f64 b))
(pow.f64 (sin.f64 b) 1/3)
(cbrt.f64 (sin.f64 b))
(pow.f64 (sin.f64 b) 1/3)
(cbrt.f64 (sin.f64 b))
(pow.f64 (sin.f64 b) 1/3)
(cbrt.f64 (sin.f64 b))
(pow.f64 (sin.f64 b) 1/3)
(cbrt.f64 (sin.f64 b))
(pow.f64 (sin.f64 b) 1/3)
(cbrt.f64 (sin.f64 b))
(pow.f64 (sin.f64 b) 1/3)
(cbrt.f64 (sin.f64 b))
(*.f64 r b)
(*.f64 b r)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b))
(fma.f64 -1/6 (.f64 r (pow.f64 b 3)) (.f64 b r))
(.f64 r (+.f64 b (.f64 -1/6 (pow.f64 b 3))))
(*.f64 r (fma.f64 -1/6 (pow.f64 b 3) b))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (+.f64 (.f64 r b) (.f64 1/120 (*.f64 (pow.f64 b 5) r))))
(fma.f64 -1/6 (.f64 r (pow.f64 b 3)) (fma.f64 r b (.f64 1/120 (*.f64 r (pow.f64 b 5)))))
(fma.f64 -1/6 (.f64 r (pow.f64 b 3)) (.f64 r (+.f64 b (*.f64 1/120 (pow.f64 b 5)))))
(.f64 r (+.f64 (.f64 -1/6 (pow.f64 b 3)) (fma.f64 1/120 (pow.f64 b 5) b)))
(*.f64 r (fma.f64 -1/6 (pow.f64 b 3) (fma.f64 1/120 (pow.f64 b 5) b)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 b 7) r)) (+.f64 (.f64 r b) (.f64 1/120 (*.f64 (pow.f64 b 5) r)))))
(fma.f64 -1/6 (.f64 r (pow.f64 b 3)) (fma.f64 -1/5040 (.f64 r (pow.f64 b 7)) (fma.f64 r b (.f64 1/120 (.f64 r (pow.f64 b 5))))))
(fma.f64 -1/6 (.f64 r (pow.f64 b 3)) (fma.f64 -1/5040 (.f64 r (pow.f64 b 7)) (.f64 r (+.f64 b (.f64 1/120 (pow.f64 b 5))))))
(.f64 r (+.f64 (fma.f64 1/120 (pow.f64 b 5) b) (fma.f64 -1/6 (pow.f64 b 3) (.f64 -1/5040 (pow.f64 b 7)))))
(.f64 r (+.f64 (.f64 1/120 (pow.f64 b 5)) (fma.f64 -1/6 (pow.f64 b 3) (fma.f64 -1/5040 (pow.f64 b 7) b))))
(*.f64 r (fma.f64 -1/6 (pow.f64 b 3) (fma.f64 -1/5040 (pow.f64 b 7) (fma.f64 1/120 (pow.f64 b 5) b))))
(*.f64 r (fma.f64 -1/6 (pow.f64 b 3) (fma.f64 1/120 (pow.f64 b 5) (fma.f64 -1/5040 (pow.f64 b 7) b))))
(*.f64 r (fma.f64 1/120 (pow.f64 b 5) (fma.f64 -1/6 (pow.f64 b 3) (fma.f64 -1/5040 (pow.f64 b 7) b))))
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)

eval784.0ms (4.3%)

Compiler: Compiled 24379 to 8504 computations (65.1% saved)

prune1.0s (5.6%)

Pruning

83 alts after pruning (79 fresh and 4 done)

	Pruned	Kept	Total
New	856	41	897
Fresh	18	38	56
Picked	1	0	1
Done	2	4	6
Total	877	83	960

Error

0.0b

Counts

960 → 83

Alt Table

Click to see full alt table

Status	Error	Program
✓	41.0b	(*.f64 r b)
	31.0b	(/.f64 (cbrt.f64 (pow.f64 (.f64 r (sin.f64 b)) 3)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	0.6b	(/.f64 (.f64 r (sin.f64 b)) (log.f64 (/.f64 (exp.f64 (.f64 (cos.f64 b) (cos.f64 a))) (pow.f64 (exp.f64 (sin.f64 a)) (sin.f64 b)))))
	0.4b	(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
	53.1b	(log.f64 (exp.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))))
	52.9b	(neg.f64 (/.f64 (sin.f64 b) (*.f64 (/.f64 1 r) (cos.f64 (+.f64 b a)))))
	25.3b	(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
	36.4b	(/.f64 (-.f64 (+.f64 1 (*.f64 (sin.f64 b) r)) 1) (cos.f64 (+.f64 b a)))
	13.7b	(/.f64 (.f64 1/3 (.f64 3 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
	53.7b	(log.f64 (/.f64 1 (exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))))
	52.9b	(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (neg.f64 (cos.f64 (+.f64 b a)))))
	25.2b	(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
	41.5b	(.f64 r (+.f64 b (.f64 1/3 (pow.f64 b 3))))
	36.1b	(*.f64 (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1) b)
	0.4b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (.f64 (sin.f64 b) (sin.f64 a)) -1))) (fma.f64 (.f64 (sin.f64 b) (sin.f64 a)) -1 (.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 3)) -1))))
	47.8b	(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))) 1)
	0.4b	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (.f64 (sin.f64 b) (sin.f64 a))))))))
	15.8b	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (.f64 (cos.f64 b) (sqrt.f64 (cos.f64 a))) (sqrt.f64 (cos.f64 a)) (-.f64 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2))))
	31.7b	(/.f64 (.f64 (cbrt.f64 (pow.f64 (sin.f64 b) 2)) (.f64 (cbrt.f64 (sin.f64 b)) r)) (fma.f64 (sqrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (sqrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	29.4b	(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
	25.7b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) 3)
	52.9b	(neg.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r))
	13.7b	(+.f64 0 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
	14.1b	(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3))
	25.3b	(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
	54.5b	(neg.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))))))
	51.1b	(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)))
	47.6b	(*.f64 (exp.f64 (log.f64 (/.f64 r (cos.f64 a)))) b)
	29.4b	(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
	57.5b	(neg.f64 (/.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))
	52.9b	(neg.f64 (/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 3)))
	49.1b	(pow.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) 3) 1/3)
▶	25.3b	(.f64 (/.f64 1 (cos.f64 b)) (.f64 r (sin.f64 b)))
	33.5b	(/.f64 (.f64 r (sin.f64 b)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 b))))))
▶	29.4b	(/.f64 b (/.f64 (cos.f64 a) r))
✓	52.9b	(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))
	22.2b	(/.f64 (expm1.f64 (log1p.f64 (*.f64 (sin.f64 b) r))) (cos.f64 (+.f64 b a)))
	33.9b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b))))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a))) (sqrt.f64 (sin.f64 b)) (.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b))))))
	54.4b	(neg.f64 (/.f64 (sin.f64 b) (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 3) 1/3)))
	29.4b	(/.f64 r (/.f64 (cos.f64 a) b))
	0.7b	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2) (.f64 (cbrt.f64 (cos.f64 b)) (cos.f64 a)) (-.f64 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2))))
	57.1b	(neg.f64 (/.f64 (sin.f64 b) (expm1.f64 (log1p.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))
	31.4b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 1 (.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (.f64 (.f64 (sqrt.f64 (sin.f64 a)) (sin.f64 b)) (sqrt.f64 (sin.f64 a))))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 (sin.f64 a)) (sin.f64 b))) (sqrt.f64 (sin.f64 a)) (.f64 (*.f64 (sqrt.f64 (sin.f64 a)) (sin.f64 b)) (sqrt.f64 (sin.f64 a))))))
	54.0b	(neg.f64 (*.f64 r (/.f64 b (cos.f64 a))))
✓	29.3b	(*.f64 (/.f64 r (cos.f64 a)) b)
	25.3b	(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 b)))))
	25.3b	(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 b))) 1))
	29.9b	(/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b)) (cos.f64 a))
	29.4b	(.f64 (.f64 (/.f64 1 (cos.f64 a)) r) b)
✓	0.3b	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	52.9b	(neg.f64 (/.f64 (sin.f64 b) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3) r)))
	28.7b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (.f64 b (-.f64 (.f64 (cos.f64 a) (.f64 -1/2 b)) (sin.f64 a)))))
	54.0b	(neg.f64 (/.f64 (*.f64 b r) (cos.f64 a)))
	12.7b	(/.f64 (.f64 (cbrt.f64 (pow.f64 (sin.f64 b) 2)) (.f64 (cbrt.f64 (sin.f64 b)) r)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))
	42.1b	(exp.f64 (log.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))))
	29.3b	(/.f64 (*.f64 r b) (cos.f64 a))
	27.1b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
	13.7b	(.f64 r (.f64 (sin.f64 b) (/.f64 1 (cos.f64 (+.f64 b a)))))
	1.2b	(/.f64 (pow.f64 (cbrt.f64 (.f64 r (sin.f64 b))) 3) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	29.5b	(.f64 b (+.f64 (/.f64 r (cos.f64 a)) (.f64 (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) r) b)))
	51.9b	(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)))
	28.0b	(/.f64 (pow.f64 (sqrt.f64 (.f64 r (sin.f64 b))) 2) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (.f64 (sin.f64 b) (sin.f64 a)) -1))) (fma.f64 (.f64 (sin.f64 b) (sin.f64 a)) -1 (.f64 (.f64 (sin.f64 b) (sin.f64 a)) -1))))
	33.3b	(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 a) 2)))
	28.0b	(/.f64 (pow.f64 (sqrt.f64 (.f64 r (sin.f64 b))) 2) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	0.4b	(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
	28.4b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 (sin.f64 a) b)))
	1.0b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) 2) (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b)) (pow.f64 (cbrt.f64 (sin.f64 a)) 2)))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (cbrt.f64 (sin.f64 a)) 2) (.f64 (.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b)) (pow.f64 (cbrt.f64 (sin.f64 a)) 2)))))
	52.3b	(/.f64 (log.f64 (+.f64 1 (*.f64 (sin.f64 b) r))) (cos.f64 (+.f64 b a)))
	29.8b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 a)) b)) 3)
	0.4b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
▶	0.3b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))))
▶	25.5b	(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 b)) 3))
▶	13.2b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 (-.f64 b a)) (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2)))
	51.9b	(neg.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))))
	13.6b	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
	47.1b	(pow.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 3) 1/3)
	14.3b	(/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 3) (cos.f64 (+.f64 b a)))
	52.9b	(neg.f64 (/.f64 (sin.f64 b) (/.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 b a)))) r)))
	41.5b	(/.f64 (.f64 (pow.f64 (sin.f64 b) 2/3) (.f64 (cbrt.f64 (sin.f64 b)) r)) (cos.f64 (+.f64 b a)))
	53.3b	(/.f64 (log.f64 1) (cos.f64 (+.f64 b a)))
	38.6b	(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 1))
	45.3b	(/.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) 3) 1/3) (cos.f64 (+.f64 b a)))
	13.7b	(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))

Compiler

Compiled 2813 to 1849 computations (34.3% saved)

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (sin.f64 b) r)
✓	0.2b	(-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))))
✓	0.2b	(*.f64 (sin.f64 a) (sin.f64 b))
✓	0.2b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))))

Compiler

Compiled 104 to 32 computations (69.2% saved)

series15.0ms (0.1%)

Counts

4 → 28

Calls

27 calls:

Time	Variable		Point	Expression
2.0ms	r	@	0	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))))
1.0ms	b	@	-inf	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))))
1.0ms	a	@	inf	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))))
1.0ms	b	@	inf	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))))
1.0ms	a	@	-inf	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))))

rewrite184.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

775×	`fma-def_binary64`
427×	`fma-neg_binary64`
341×	`expm1-udef_binary64`
341×	`log1p-udef_binary64`
208×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	80
1	398	56
2	5984	56

Stop Event

1×	node limit

Counts

4 → 247

Calls

Call 1

Inputs
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))))
(*.f64 (sin.f64 a) (sin.f64 b))
(-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))))
(*.f64 (sin.f64 b) r)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 (sin.f64 b) (fma.f64 -2 (.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))) r))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 b) (/.f64 1 (/.f64 (fma.f64 -2 (.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))) r)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 b) (.f64 r (/.f64 1 (fma.f64 -2 (.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 r (.f64 (sin.f64 b) (/.f64 1 (fma.f64 -2 (.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 b) r) (/.f64 1 (fma.f64 -2 (.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (sin.f64 b) (fma.f64 -2 (.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))) r) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (/.f64 (sin.f64 b) (fma.f64 -2 (.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))) r))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (/.f64 (sin.f64 b) (fma.f64 -2 (.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))) r)) (cbrt.f64 (pow.f64 (.f64 (/.f64 (sin.f64 b) (fma.f64 -2 (.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))) r) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 (sin.f64 b) (fma.f64 -2 (.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))) r) 2)) (cbrt.f64 (.f64 (/.f64 (sin.f64 b) (fma.f64 -2 (.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))) r)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) 2) (.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) (/.f64 1 (fma.f64 -2 (.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (/.f64 (sin.f64 b) (fma.f64 -2 (.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))) r)) (sqrt.f64 (.f64 (/.f64 (sin.f64 b) (fma.f64 -2 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(sin.f64 a) (fma.f64 (sin.f64 b) (.f64 -2 (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1 (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) 2)) (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (fma.f64 (sin.f64 b) (.f64 -2 (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1 (sqrt.f64 (.f64 (sin.f64 b) (sin.f64 a)))) (sqrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (fma.f64 (sin.f64 b) (.f64 -2 (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (neg.f64 (sin.f64 a)) 1) (sin.f64 b) (fma.f64 (sin.f64 b) (.f64 -2 (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (neg.f64 (sin.f64 a)) (pow.f64 (cbrt.f64 (sin.f64 b)) 2)) (cbrt.f64 (sin.f64 b)) (fma.f64 (sin.f64 b) (.f64 -2 (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (neg.f64 (sin.f64 a)) (sqrt.f64 (sin.f64 b))) (sqrt.f64 (sin.f64 b)) (fma.f64 (sin.f64 b) (.f64 -2 (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -2 (sin.f64 b)) (sin.f64 a) (cos.f64 (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -2 (sin.f64 b)) (sin.f64 a) (.f64 (cos.f64 (-.f64 a b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -2 (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) 2)) (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (cos.f64 (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -2 (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) 2)) (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (cos.f64 (-.f64 a b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -2 (sqrt.f64 (.f64 (sin.f64 b) (sin.f64 a)))) (sqrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (cos.f64 (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -2 (sqrt.f64 (.f64 (sin.f64 b) (sin.f64 a)))) (sqrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (cos.f64 (-.f64 a b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 -2 (sin.f64 a)) 1) (sin.f64 b) (cos.f64 (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 -2 (sin.f64 a)) 1) (sin.f64 b) (.f64 (cos.f64 (-.f64 a b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 -2 (sin.f64 a)) (pow.f64 (cbrt.f64 (sin.f64 b)) 2)) (cbrt.f64 (sin.f64 b)) (cos.f64 (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 -2 (sin.f64 a)) (pow.f64 (cbrt.f64 (sin.f64 b)) 2)) (cbrt.f64 (sin.f64 b)) (.f64 (cos.f64 (-.f64 a b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 -2 (sin.f64 a)) (sqrt.f64 (sin.f64 b))) (sqrt.f64 (sin.f64 b)) (cos.f64 (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 -2 (sin.f64 a)) (sqrt.f64 (sin.f64 b))) (sqrt.f64 (sin.f64 b)) (.f64 (cos.f64 (-.f64 a b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cos.f64 a) (cbrt.f64 (pow.f64 (cos.f64 b) 2))) (cbrt.f64 (cos.f64 b)) (fma.f64 (sin.f64 b) (.f64 -2 (sin.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cos.f64 a) (sqrt.f64 (cos.f64 b))) (sqrt.f64 (cos.f64 b)) (fma.f64 (sin.f64 b) (.f64 -2 (sin.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cos.f64 b) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (cbrt.f64 (cos.f64 a)) (fma.f64 (sin.f64 b) (.f64 -2 (sin.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cos.f64 b) (sqrt.f64 (cos.f64 a))) (sqrt.f64 (cos.f64 a)) (fma.f64 (sin.f64 b) (.f64 -2 (sin.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 b) r))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sin.f64 b) r) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (sin.f64 b) r) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (sin.f64 b) r)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (sin.f64 b) r) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 r) (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 b) r))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (sin.f64 b) r) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 r 3) (pow.f64 (sin.f64 b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (sin.f64 b) r)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (sin.f64 b) r)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (sin.f64 b) r)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 (sin.f64 b) r)) 1))))))

simplify81.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

792×	`times-frac_binary64`
556×	`associate-/l*_binary64`
464×	`distribute-rgt-in_binary64`
447×	`distribute-lft-in_binary64`
382×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	169	1062
1	556	1032
2	2120	913

Stop Event

1×	node limit

Counts

275 → 301

Calls

Call 1

Inputs
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -2 (sin.f64 a)) (.f64 -1 (sin.f64 a))) (.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2))) (/.f64 (.f64 r b) (cos.f64 a)))
(+.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (-.f64 (.f64 -2 (sin.f64 a)) (.f64 -1 (sin.f64 a))) 2) r) (pow.f64 (cos.f64 a) 3))) (.f64 -1/2 (/.f64 r (cos.f64 a))))) (pow.f64 b 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -2 (sin.f64 a)) (.f64 -1 (sin.f64 a))) (.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2))) (/.f64 (*.f64 r b) (cos.f64 a))))
(+.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (-.f64 (.f64 -2 (sin.f64 a)) (.f64 -1 (sin.f64 a))) 2) r) (pow.f64 (cos.f64 a) 3))) (.f64 -1/2 (/.f64 r (cos.f64 a))))) (pow.f64 b 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -2 (sin.f64 a)) (.f64 -1 (sin.f64 a))) (.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2))) (+.f64 (.f64 -1 (.f64 (pow.f64 b 4) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (-.f64 (.f64 -2 (sin.f64 a)) (.f64 -1 (sin.f64 a))) 2) r) (pow.f64 (cos.f64 a) 3))) (.f64 -1/2 (/.f64 r (cos.f64 a))))) (-.f64 (.f64 -2 (sin.f64 a)) (.f64 -1 (sin.f64 a)))) (cos.f64 a)) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 -2 (sin.f64 a)) (.f64 -1 (sin.f64 a))) r) (pow.f64 (cos.f64 a) 2))) (/.f64 (.f64 r (-.f64 (.f64 1/3 (sin.f64 a)) (.f64 1/6 (sin.f64 a)))) (pow.f64 (cos.f64 a) 2)))))) (/.f64 (*.f64 r b) (cos.f64 a)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) (.f64 a (.f64 (-.f64 (.f64 -2 (sin.f64 b)) (.f64 -1 (sin.f64 b))) r))) (pow.f64 (cos.f64 b) 2))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) (.f64 a (.f64 (-.f64 (.f64 -2 (sin.f64 b)) (.f64 -1 (sin.f64 b))) r))) (pow.f64 (cos.f64 b) 2))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) (.f64 r (pow.f64 (-.f64 (.f64 -2 (sin.f64 b)) (.f64 -1 (sin.f64 b))) 2))) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) (.f64 a (.f64 (-.f64 (.f64 -2 (sin.f64 b)) (.f64 -1 (sin.f64 b))) r))) (pow.f64 (cos.f64 b) 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 b) (.f64 r (-.f64 (.f64 -2 (sin.f64 b)) (.f64 -1 (sin.f64 b))))) (pow.f64 (cos.f64 b) 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -2 (sin.f64 b)) (.f64 -1 (sin.f64 b))) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) (.f64 r (pow.f64 (-.f64 (.f64 -2 (sin.f64 b)) (.f64 -1 (sin.f64 b))) 2))) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b))) (/.f64 (.f64 (sin.f64 b) (.f64 (-.f64 (.f64 1/3 (sin.f64 b)) (.f64 1/6 (sin.f64 b))) r)) (pow.f64 (cos.f64 b) 2)))) (pow.f64 a 3))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) (.f64 r (pow.f64 (-.f64 (.f64 -2 (sin.f64 b)) (.f64 -1 (sin.f64 b))) 2))) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))
(*.f64 (sin.f64 b) a)
(+.f64 (.f64 -1/6 (.f64 (sin.f64 b) (pow.f64 a 3))) (*.f64 (sin.f64 b) a))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (.f64 1/120 (.f64 (sin.f64 b) (pow.f64 a 5))) (*.f64 (sin.f64 b) a)))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (.f64 -1/5040 (.f64 (sin.f64 b) (pow.f64 a 7))) (+.f64 (.f64 1/120 (.f64 (sin.f64 b) (pow.f64 a 5))) (*.f64 (sin.f64 b) a))))
(*.f64 (sin.f64 a) b)
(+.f64 (.f64 -1/6 (.f64 (sin.f64 a) (pow.f64 b 3))) (*.f64 (sin.f64 a) b))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 a) (pow.f64 b 3))) (+.f64 (.f64 (sin.f64 a) b) (.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5)))))
(+.f64 (.f64 -1/5040 (.f64 (sin.f64 a) (pow.f64 b 7))) (+.f64 (.f64 -1/6 (.f64 (sin.f64 a) (pow.f64 b 3))) (+.f64 (.f64 (sin.f64 a) b) (.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5))))))
(cos.f64 b)
(+.f64 (.f64 a (-.f64 (.f64 -2 (sin.f64 b)) (*.f64 -1 (sin.f64 b)))) (cos.f64 b))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (+.f64 (.f64 a (-.f64 (.f64 -2 (sin.f64 b)) (*.f64 -1 (sin.f64 b)))) (cos.f64 b)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (+.f64 (.f64 a (-.f64 (.f64 -2 (sin.f64 b)) (.f64 -1 (sin.f64 b)))) (+.f64 (.f64 (pow.f64 a 3) (-.f64 (.f64 1/3 (sin.f64 b)) (.f64 1/6 (sin.f64 b)))) (cos.f64 b))))
(cos.f64 a)
(+.f64 (cos.f64 a) (.f64 (-.f64 (.f64 -2 (sin.f64 a)) (*.f64 -1 (sin.f64 a))) b))
(+.f64 (cos.f64 a) (+.f64 (.f64 (-.f64 (.f64 -2 (sin.f64 a)) (.f64 -1 (sin.f64 a))) b) (.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(+.f64 (cos.f64 a) (+.f64 (.f64 (-.f64 (.f64 -2 (sin.f64 a)) (.f64 -1 (sin.f64 a))) b) (+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 1/3 (sin.f64 a)) (.f64 1/6 (sin.f64 a)))) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2))))))
(*.f64 r b)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (+.f64 (.f64 r b) (.f64 1/120 (*.f64 (pow.f64 b 5) r))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 b 7) r)) (+.f64 (.f64 r b) (.f64 1/120 (*.f64 (pow.f64 b 5) r)))))

Outputs
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -2 (sin.f64 a)) (.f64 -1 (sin.f64 a))) (.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2))) (/.f64 (.f64 r b) (cos.f64 a)))
(fma.f64 -1 (/.f64 (.f64 (neg.f64 (sin.f64 a)) (.f64 r (*.f64 b b))) (pow.f64 (cos.f64 a) 2)) (/.f64 r (/.f64 (cos.f64 a) b)))
(+.f64 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (.f64 b (.f64 b r)))) (*.f64 (/.f64 r (cos.f64 a)) b))
(fma.f64 (/.f64 r (cos.f64 a)) b (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (.f64 b (.f64 b r)))))
(+.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (-.f64 (.f64 -2 (sin.f64 a)) (.f64 -1 (sin.f64 a))) 2) r) (pow.f64 (cos.f64 a) 3))) (.f64 -1/2 (/.f64 r (cos.f64 a))))) (pow.f64 b 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -2 (sin.f64 a)) (.f64 -1 (sin.f64 a))) (.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2))) (/.f64 (*.f64 r b) (cos.f64 a))))
(fma.f64 (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (fma.f64 -1 (/.f64 (pow.f64 (neg.f64 (sin.f64 a)) 2) (/.f64 (pow.f64 (cos.f64 a) 3) r)) (.f64 (/.f64 r (cos.f64 a)) -1/2))) (pow.f64 b 3) (fma.f64 -1 (/.f64 (.f64 (neg.f64 (sin.f64 a)) (.f64 r (*.f64 b b))) (pow.f64 (cos.f64 a) 2)) (/.f64 r (/.f64 (cos.f64 a) b))))
(+.f64 (.f64 (/.f64 r (cos.f64 a)) b) (fma.f64 (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (-.f64 (/.f64 (.f64 r -1/2) (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (sin.f64 a)) (/.f64 (pow.f64 (cos.f64 a) 3) r)))) (pow.f64 b 3) (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (.f64 b (.f64 b r))))))
(fma.f64 (+.f64 (.f64 (/.f64 r (cos.f64 a)) 1/3) (/.f64 r (/.f64 (pow.f64 (cos.f64 a) 3) (.f64 (sin.f64 a) (sin.f64 a))))) (pow.f64 b 3) (fma.f64 (/.f64 r (cos.f64 a)) b (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (.f64 b (.f64 b r))))))
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(+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 b 7) r)) (+.f64 (.f64 r b) (.f64 1/120 (*.f64 (pow.f64 b 5) r)))))
(fma.f64 -1/6 (.f64 r (pow.f64 b 3)) (fma.f64 -1/5040 (.f64 r (pow.f64 b 7)) (fma.f64 r b (.f64 1/120 (.f64 r (pow.f64 b 5))))))
(fma.f64 -1/6 (.f64 r (pow.f64 b 3)) (fma.f64 -1/5040 (.f64 r (pow.f64 b 7)) (.f64 r (+.f64 b (.f64 1/120 (pow.f64 b 5))))))
(.f64 r (+.f64 (+.f64 b (.f64 1/120 (pow.f64 b 5))) (+.f64 (.f64 -1/6 (pow.f64 b 3)) (.f64 -1/5040 (pow.f64 b 7)))))

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (cos.f64 a) r)
✓	0.2b	(/.f64 b (/.f64 (cos.f64 a) r))

Compiler

Compiled 18 to 6 computations (66.7% saved)

series8.0ms (0%)

Counts

2 → 40

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(/.f64 b (/.f64 (cos.f64 a) r))
1.0ms	a	@	0	(/.f64 b (/.f64 (cos.f64 a) r))
1.0ms	a	@	inf	(/.f64 b (/.f64 (cos.f64 a) r))
1.0ms	r	@	0	(/.f64 b (/.f64 (cos.f64 a) r))
1.0ms	a	@	-inf	(/.f64 b (/.f64 (cos.f64 a) r))

rewrite61.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

875×	`pow1_binary64`
810×	`add-log-exp_binary64`
810×	`log1p-expm1-u_binary64`
810×	`expm1-log1p-u_binary64`
791×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	150	15
2	2139	15

Stop Event

1×	node limit

Counts

2 → 72

Calls

Call 1

Inputs
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 (cos.f64 a) r)

Outputs

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

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

simplify48.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

666×	`fma-neg_binary64`
481×	`associate-+l+_binary64`
358×	`distribute-rgt-neg-in_binary64`
357×	`distribute-lft-neg-in_binary64`
338×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	511
1	160	477
2	583	458
3	2729	443

Stop Event

1×	node limit

Counts

112 → 88

Calls

Call 1

Inputs
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 b r)
(+.f64 (.f64 b r) (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 b r))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 -1/4 (.f64 r b)) (.f64 1/24 (.f64 b r))))) (+.f64 (.f64 b r) (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 b r)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 -1/4 (.f64 r b)) (.f64 1/24 (.f64 b r))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 6) (+.f64 (.f64 1/48 (.f64 r b)) (+.f64 (.f64 -1/720 (.f64 b r)) (.f64 1/2 (+.f64 (.f64 -1/4 (.f64 r b)) (.f64 1/24 (.f64 b r)))))))) (+.f64 (.f64 b r) (.f64 1/2 (.f64 (pow.f64 a 2) (*.f64 b r))))))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 1 r)
(+.f64 (/.f64 1 r) (*.f64 -1/2 (/.f64 (pow.f64 a 2) r)))
(+.f64 (/.f64 1 r) (+.f64 (.f64 1/24 (/.f64 (pow.f64 a 4) r)) (.f64 -1/2 (/.f64 (pow.f64 a 2) r))))
(+.f64 (.f64 -1/720 (/.f64 (pow.f64 a 6) r)) (+.f64 (/.f64 1 r) (+.f64 (.f64 1/24 (/.f64 (pow.f64 a 4) r)) (*.f64 -1/2 (/.f64 (pow.f64 a 2) r)))))

Outputs
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 b r)
(+.f64 (.f64 b r) (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 b r))))
(fma.f64 b r (.f64 1/2 (.f64 (.f64 b r) (.f64 a a))))
(.f64 (+.f64 (.f64 (.f64 1/2 a) a) 1) (.f64 b r))
(.f64 (.f64 b r) (fma.f64 1/2 (*.f64 a a) 1))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 -1/4 (.f64 r b)) (.f64 1/24 (.f64 b r))))) (+.f64 (.f64 b r) (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 b r)))))
(fma.f64 -1 (.f64 (pow.f64 a 4) (fma.f64 -1/4 (.f64 b r) (.f64 (.f64 b r) 1/24))) (fma.f64 b r (.f64 1/2 (.f64 (.f64 b r) (.f64 a a)))))
(-.f64 (.f64 (+.f64 (.f64 (.f64 1/2 a) a) 1) (.f64 b r)) (.f64 (pow.f64 a 4) (.f64 (*.f64 b r) -5/24)))
(fma.f64 (pow.f64 a 4) (.f64 (.f64 b r) 5/24) (.f64 (.f64 b r) (fma.f64 1/2 (*.f64 a a) 1)))
(.f64 (.f64 b r) (-.f64 (fma.f64 1/2 (.f64 a a) 1) (.f64 (pow.f64 a 4) -5/24)))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 -1/4 (.f64 r b)) (.f64 1/24 (.f64 b r))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 6) (+.f64 (.f64 1/48 (.f64 r b)) (+.f64 (.f64 -1/720 (.f64 b r)) (.f64 1/2 (+.f64 (.f64 -1/4 (.f64 r b)) (.f64 1/24 (.f64 b r)))))))) (+.f64 (.f64 b r) (.f64 1/2 (.f64 (pow.f64 a 2) (*.f64 b r))))))
(fma.f64 -1 (.f64 (pow.f64 a 4) (fma.f64 -1/4 (.f64 b r) (.f64 (.f64 b r) 1/24))) (fma.f64 -1 (.f64 (pow.f64 a 6) (fma.f64 1/48 (.f64 b r) (fma.f64 -1/720 (.f64 b r) (.f64 1/2 (fma.f64 -1/4 (.f64 b r) (.f64 (.f64 b r) 1/24)))))) (fma.f64 b r (.f64 1/2 (.f64 (.f64 b r) (*.f64 a a))))))
(-.f64 (-.f64 (.f64 (+.f64 (.f64 (.f64 1/2 a) a) 1) (.f64 b r)) (.f64 (pow.f64 a 6) (+.f64 (.f64 1/2 (.f64 (.f64 b r) -5/24)) (.f64 (.f64 b r) 7/360)))) (.f64 (pow.f64 a 4) (.f64 (*.f64 b r) -5/24)))
(fma.f64 (fma.f64 1/2 (.f64 a a) 1) (.f64 b r) (fma.f64 (pow.f64 a 4) (.f64 (.f64 b r) 5/24) (.f64 (fma.f64 (.f64 b r) 7/360 (.f64 (.f64 b r) -5/48)) (neg.f64 (pow.f64 a 6)))))
(-.f64 (.f64 (.f64 b r) (-.f64 (fma.f64 1/2 (.f64 a a) 1) (.f64 (pow.f64 a 4) -5/24))) (.f64 (pow.f64 a 6) (.f64 (*.f64 b r) -61/720)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 1 r)
(+.f64 (/.f64 1 r) (*.f64 -1/2 (/.f64 (pow.f64 a 2) r)))
(+.f64 (/.f64 1 r) (.f64 -1/2 (/.f64 (.f64 a a) r)))
(fma.f64 -1/2 (/.f64 a (/.f64 r a)) (/.f64 1 r))
(fma.f64 -1/2 (*.f64 (/.f64 a r) a) (/.f64 1 r))
(+.f64 (/.f64 1 r) (+.f64 (.f64 1/24 (/.f64 (pow.f64 a 4) r)) (.f64 -1/2 (/.f64 (pow.f64 a 2) r))))
(+.f64 (/.f64 1 r) (fma.f64 1/24 (/.f64 (pow.f64 a 4) r) (.f64 -1/2 (/.f64 (.f64 a a) r))))
(+.f64 (/.f64 1 r) (fma.f64 1/24 (/.f64 (pow.f64 a 4) r) (*.f64 -1/2 (/.f64 a (/.f64 r a)))))
(fma.f64 1/24 (/.f64 (pow.f64 a 4) r) (fma.f64 -1/2 (*.f64 (/.f64 a r) a) (/.f64 1 r)))
(+.f64 (.f64 -1/720 (/.f64 (pow.f64 a 6) r)) (+.f64 (/.f64 1 r) (+.f64 (.f64 1/24 (/.f64 (pow.f64 a 4) r)) (*.f64 -1/2 (/.f64 (pow.f64 a 2) r)))))
(fma.f64 -1/720 (/.f64 (pow.f64 a 6) r) (+.f64 (/.f64 1 r) (fma.f64 1/24 (/.f64 (pow.f64 a 4) r) (.f64 -1/2 (/.f64 (.f64 a a) r)))))
(+.f64 (fma.f64 1/24 (/.f64 (pow.f64 a 4) r) (*.f64 -1/2 (/.f64 a (/.f64 r a)))) (fma.f64 -1/720 (/.f64 (pow.f64 a 6) r) (/.f64 1 r)))
(fma.f64 -1/720 (/.f64 (pow.f64 a 6) r) (fma.f64 1/24 (/.f64 (pow.f64 a 4) r) (fma.f64 -1/2 (*.f64 (/.f64 a r) a) (/.f64 1 r))))

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (cos.f64 b))
	0.1b	(*.f64 r (sin.f64 b))
✓	0.2b	(.f64 (/.f64 1 (cos.f64 b)) (.f64 r (sin.f64 b)))

Compiler

Compiled 27 to 12 computations (55.6% saved)

series4.0ms (0%)

Counts

2 → 28

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	r	@	inf	(.f64 (/.f64 1 (cos.f64 b)) (.f64 r (sin.f64 b)))
1.0ms	b	@	inf	(/.f64 1 (cos.f64 b))
1.0ms	b	@	-inf	(/.f64 1 (cos.f64 b))
1.0ms	b	@	0	(.f64 (/.f64 1 (cos.f64 b)) (.f64 r (sin.f64 b)))
0.0ms	b	@	0	(/.f64 1 (cos.f64 b))

rewrite74.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

857×	`pow1_binary64`
787×	`add-log-exp_binary64`
787×	`log1p-expm1-u_binary64`
787×	`expm1-log1p-u_binary64`
769×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	178	17
2	2167	17

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

Inputs
(.f64 (/.f64 1 (cos.f64 b)) (.f64 r (sin.f64 b)))
(/.f64 1 (cos.f64 b))

Outputs

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

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

simplify55.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

646×	`unsub-neg_binary64`
478×	`associate-+l+_binary64`
379×	`associate-+r+_binary64`
337×	`distribute-rgt-in_binary64`
302×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	407
1	160	381
2	442	352
3	1844	348
4	6064	348

Stop Event

1×	node limit

Counts

74 → 62

Calls

Call 1

Inputs
(*.f64 r b)
(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (.f64 r b))
(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (+.f64 (.f64 r b) (.f64 (pow.f64 b 5) (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r))))))))
(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (+.f64 (.f64 (-.f64 (.f64 -1/5040 r) (+.f64 (.f64 -1/2 (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))) (+.f64 (.f64 -1/720 r) (.f64 1/24 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))) (pow.f64 b 7)) (+.f64 (.f64 r b) (.f64 (pow.f64 b 5) (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
1
(+.f64 1 (*.f64 1/2 (pow.f64 b 2)))
(+.f64 1 (+.f64 (.f64 5/24 (pow.f64 b 4)) (.f64 1/2 (pow.f64 b 2))))
(+.f64 1 (+.f64 (.f64 61/720 (pow.f64 b 6)) (+.f64 (.f64 5/24 (pow.f64 b 4)) (*.f64 1/2 (pow.f64 b 2)))))

Outputs
(*.f64 r b)
(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (.f64 r b))
(fma.f64 (.f64 r 1/3) (pow.f64 b 3) (.f64 r b))
(.f64 r (+.f64 b (.f64 (pow.f64 b 3) 1/3)))
(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (+.f64 (.f64 r b) (.f64 (pow.f64 b 5) (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r))))))))
(fma.f64 (.f64 r 1/3) (pow.f64 b 3) (fma.f64 r b (.f64 (pow.f64 b 5) (-.f64 (.f64 r 1/120) (fma.f64 1/24 r (.f64 -1/2 (*.f64 r 1/3)))))))
(fma.f64 (.f64 r 1/3) (pow.f64 b 3) (fma.f64 (pow.f64 b 5) (-.f64 (.f64 r -1/30) (.f64 r -1/6)) (.f64 r b)))
(fma.f64 (pow.f64 b 5) (.f64 r 2/15) (.f64 r (+.f64 b (*.f64 (pow.f64 b 3) 1/3))))
(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (+.f64 (.f64 (-.f64 (.f64 -1/5040 r) (+.f64 (.f64 -1/2 (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))) (+.f64 (.f64 -1/720 r) (.f64 1/24 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))) (pow.f64 b 7)) (+.f64 (.f64 r b) (.f64 (pow.f64 b 5) (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))))))
(fma.f64 (.f64 r 1/3) (pow.f64 b 3) (fma.f64 (-.f64 (.f64 r -1/5040) (fma.f64 -1/2 (-.f64 (.f64 r 1/120) (fma.f64 1/24 r (.f64 -1/2 (.f64 r 1/3)))) (fma.f64 -1/720 r (.f64 (.f64 r 1/3) 1/24)))) (pow.f64 b 7) (fma.f64 r b (.f64 (pow.f64 b 5) (-.f64 (.f64 r 1/120) (fma.f64 1/24 r (.f64 -1/2 (*.f64 r 1/3))))))))
(fma.f64 (.f64 r 1/3) (pow.f64 b 3) (fma.f64 (-.f64 (.f64 r -1/5040) (fma.f64 -1/2 (-.f64 (.f64 r -1/30) (.f64 r -1/6)) (fma.f64 r -1/720 (.f64 r 1/72)))) (pow.f64 b 7) (fma.f64 (pow.f64 b 5) (-.f64 (.f64 r -1/30) (.f64 r -1/6)) (.f64 r b))))
(fma.f64 (-.f64 (.f64 r -1/5040) (fma.f64 -1/2 (.f64 r 2/15) (.f64 r 1/80))) (pow.f64 b 7) (fma.f64 (pow.f64 b 5) (.f64 r 2/15) (.f64 r (+.f64 b (.f64 (pow.f64 b 3) 1/3)))))
(fma.f64 (+.f64 (.f64 -1/2 (.f64 r -2/15)) (.f64 r -4/315)) (pow.f64 b 7) (fma.f64 (pow.f64 b 5) (.f64 r 2/15) (.f64 r (+.f64 b (.f64 (pow.f64 b 3) 1/3)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
1
(+.f64 1 (*.f64 1/2 (pow.f64 b 2)))
(+.f64 1 (.f64 1/2 (.f64 b b)))
(fma.f64 1/2 (*.f64 b b) 1)
(+.f64 1 (+.f64 (.f64 5/24 (pow.f64 b 4)) (.f64 1/2 (pow.f64 b 2))))
(+.f64 1 (fma.f64 5/24 (pow.f64 b 4) (.f64 1/2 (.f64 b b))))
(+.f64 (fma.f64 1/2 (.f64 b b) 1) (.f64 5/24 (pow.f64 b 4)))
(fma.f64 b (*.f64 b 1/2) (fma.f64 5/24 (pow.f64 b 4) 1))
(+.f64 1 (+.f64 (.f64 61/720 (pow.f64 b 6)) (+.f64 (.f64 5/24 (pow.f64 b 4)) (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (fma.f64 61/720 (pow.f64 b 6) (fma.f64 5/24 (pow.f64 b 4) (.f64 1/2 (.f64 b b)))))
(+.f64 (fma.f64 61/720 (pow.f64 b 6) (.f64 5/24 (pow.f64 b 4))) (fma.f64 1/2 (.f64 b b) 1))
(fma.f64 61/720 (pow.f64 b 6) (fma.f64 b (*.f64 b 1/2) (fma.f64 5/24 (pow.f64 b 4) 1)))

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 b)) 3))
	0.1b	(*.f64 r (sin.f64 b))
✓	0.3b	(cbrt.f64 (cos.f64 b))
✓	0.4b	(pow.f64 (cbrt.f64 (cos.f64 b)) 3)

Compiler

Compiled 32 to 13 computations (59.4% saved)

series11.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	b	@	inf	(pow.f64 (cbrt.f64 (cos.f64 b)) 3)
2.0ms	b	@	-inf	(pow.f64 (cbrt.f64 (cos.f64 b)) 3)
2.0ms	b	@	0	(pow.f64 (cbrt.f64 (cos.f64 b)) 3)
1.0ms	b	@	-inf	(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 b)) 3))
1.0ms	b	@	inf	(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 b)) 3))

rewrite78.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

495×	`log-prod_binary64`
378×	`exp-prod_binary64`
333×	`prod-exp_binary64`
286×	`pow-prod-down_binary64`
241×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	213	19
2	2497	17

Stop Event

1×	node limit

Counts

3 → 142

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (cos.f64 b)) 3)
(cbrt.f64 (cos.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 b)) 3))

Outputs

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

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

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

simplify65.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

646×	`unsub-neg_binary64`
506×	`associate-+l+_binary64`
400×	`associate-+r+_binary64`
337×	`distribute-rgt-in_binary64`
313×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	73	547
1	197	493
2	529	464
3	2149	460
4	6579	460

Stop Event

1×	node limit

Counts

190 → 167

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 b 2)))
(+.f64 (.f64 1/24 (pow.f64 b 4)) (+.f64 1 (.f64 -1/2 (pow.f64 b 2))))
(+.f64 (.f64 1/24 (pow.f64 b 4)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 b 2)) (*.f64 -1/720 (pow.f64 b 6)))))
(*.f64 (pow.f64 1 1/3) (cos.f64 b))
(*.f64 (pow.f64 1 1/3) (cos.f64 b))
(*.f64 (pow.f64 1 1/3) (cos.f64 b))
(*.f64 (pow.f64 1 1/3) (cos.f64 b))
(*.f64 (pow.f64 1 1/3) (cos.f64 b))
(*.f64 (pow.f64 1 1/3) (cos.f64 b))
(*.f64 (pow.f64 1 1/3) (cos.f64 b))
(*.f64 (pow.f64 1 1/3) (cos.f64 b))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 b 2)))
(+.f64 1 (+.f64 (.f64 -1/72 (pow.f64 b 4)) (.f64 -1/6 (pow.f64 b 2))))
(+.f64 1 (+.f64 (.f64 -1/72 (pow.f64 b 4)) (+.f64 (.f64 -1/6 (pow.f64 b 2)) (*.f64 -23/6480 (pow.f64 b 6)))))
(pow.f64 (cos.f64 b) 1/3)
(pow.f64 (cos.f64 b) 1/3)
(pow.f64 (cos.f64 b) 1/3)
(pow.f64 (cos.f64 b) 1/3)
(pow.f64 (cos.f64 b) 1/3)
(pow.f64 (cos.f64 b) 1/3)
(pow.f64 (cos.f64 b) 1/3)
(pow.f64 (cos.f64 b) 1/3)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 r b)
(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (.f64 r b))
(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (+.f64 (.f64 r b) (.f64 (pow.f64 b 5) (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r))))))))
(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (+.f64 (.f64 (-.f64 (.f64 -1/5040 r) (+.f64 (.f64 -1/2 (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))) (+.f64 (.f64 -1/720 r) (.f64 1/24 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))) (pow.f64 b 7)) (+.f64 (.f64 r b) (.f64 (pow.f64 b 5) (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))

Outputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 b 2)))
(+.f64 1 (.f64 -1/2 (.f64 b b)))
(fma.f64 -1/2 (*.f64 b b) 1)
(+.f64 (.f64 1/24 (pow.f64 b 4)) (+.f64 1 (.f64 -1/2 (pow.f64 b 2))))
(fma.f64 1/24 (pow.f64 b 4) (+.f64 1 (.f64 -1/2 (.f64 b b))))
(fma.f64 1/24 (pow.f64 b 4) (fma.f64 -1/2 (*.f64 b b) 1))
(+.f64 (.f64 1/24 (pow.f64 b 4)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 b 2)) (*.f64 -1/720 (pow.f64 b 6)))))
(fma.f64 1/24 (pow.f64 b 4) (+.f64 1 (fma.f64 -1/2 (.f64 b b) (.f64 -1/720 (pow.f64 b 6)))))
(+.f64 (fma.f64 -1/720 (pow.f64 b 6) (.f64 -1/2 (.f64 b b))) (fma.f64 1/24 (pow.f64 b 4) 1))
(fma.f64 1/24 (pow.f64 b 4) (fma.f64 -1/2 (*.f64 b b) (fma.f64 -1/720 (pow.f64 b 6) 1)))
(*.f64 (pow.f64 1 1/3) (cos.f64 b))
(*.f64 1 (cos.f64 b))
(cos.f64 b)
(*.f64 (pow.f64 1 1/3) (cos.f64 b))
(*.f64 1 (cos.f64 b))
(cos.f64 b)
(*.f64 (pow.f64 1 1/3) (cos.f64 b))
(*.f64 1 (cos.f64 b))
(cos.f64 b)
(*.f64 (pow.f64 1 1/3) (cos.f64 b))
(*.f64 1 (cos.f64 b))
(cos.f64 b)
(*.f64 (pow.f64 1 1/3) (cos.f64 b))
(*.f64 1 (cos.f64 b))
(cos.f64 b)
(*.f64 (pow.f64 1 1/3) (cos.f64 b))
(*.f64 1 (cos.f64 b))
(cos.f64 b)
(*.f64 (pow.f64 1 1/3) (cos.f64 b))
(*.f64 1 (cos.f64 b))
(cos.f64 b)
(*.f64 (pow.f64 1 1/3) (cos.f64 b))
(*.f64 1 (cos.f64 b))
(cos.f64 b)
1
(+.f64 1 (*.f64 -1/6 (pow.f64 b 2)))
(+.f64 1 (.f64 (.f64 b b) -1/6))
(fma.f64 (*.f64 b b) -1/6 1)
(fma.f64 b (*.f64 b -1/6) 1)
(+.f64 1 (+.f64 (.f64 -1/72 (pow.f64 b 4)) (.f64 -1/6 (pow.f64 b 2))))
(+.f64 1 (fma.f64 -1/72 (pow.f64 b 4) (.f64 (.f64 b b) -1/6)))
(+.f64 (fma.f64 (.f64 b b) -1/6 1) (.f64 (pow.f64 b 4) -1/72))
(fma.f64 b (*.f64 b -1/6) (fma.f64 (pow.f64 b 4) -1/72 1))
(+.f64 1 (+.f64 (.f64 -1/72 (pow.f64 b 4)) (+.f64 (.f64 -1/6 (pow.f64 b 2)) (*.f64 -23/6480 (pow.f64 b 6)))))
(+.f64 1 (fma.f64 -1/72 (pow.f64 b 4) (fma.f64 -1/6 (.f64 b b) (.f64 (pow.f64 b 6) -23/6480))))
(+.f64 1 (fma.f64 (pow.f64 b 4) -1/72 (fma.f64 (pow.f64 b 6) -23/6480 (.f64 (.f64 b b) -1/6))))
(+.f64 (fma.f64 b (.f64 b -1/6) 1) (fma.f64 (pow.f64 b 6) -23/6480 (.f64 (pow.f64 b 4) -1/72)))
(fma.f64 (pow.f64 b 4) -1/72 (+.f64 (.f64 b (.f64 b -1/6)) (fma.f64 (pow.f64 b 6) -23/6480 1)))
(pow.f64 (cos.f64 b) 1/3)
(cbrt.f64 (cos.f64 b))
(pow.f64 (cos.f64 b) 1/3)
(cbrt.f64 (cos.f64 b))
(pow.f64 (cos.f64 b) 1/3)
(cbrt.f64 (cos.f64 b))
(pow.f64 (cos.f64 b) 1/3)
(cbrt.f64 (cos.f64 b))
(pow.f64 (cos.f64 b) 1/3)
(cbrt.f64 (cos.f64 b))
(pow.f64 (cos.f64 b) 1/3)
(cbrt.f64 (cos.f64 b))
(pow.f64 (cos.f64 b) 1/3)
(cbrt.f64 (cos.f64 b))
(pow.f64 (cos.f64 b) 1/3)
(cbrt.f64 (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 r b)
(*.f64 b r)
(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (.f64 r b))
(fma.f64 (.f64 r 1/3) (pow.f64 b 3) (.f64 b r))
(fma.f64 b r (.f64 (.f64 (pow.f64 b 3) r) 1/3))
(.f64 r (+.f64 b (.f64 1/3 (pow.f64 b 3))))
(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (+.f64 (.f64 r b) (.f64 (pow.f64 b 5) (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r))))))))
(fma.f64 (.f64 r 1/3) (pow.f64 b 3) (fma.f64 r b (.f64 (pow.f64 b 5) (-.f64 (.f64 r 1/120) (fma.f64 1/24 r (.f64 -1/2 (*.f64 r 1/3)))))))
(fma.f64 (.f64 1/3 r) (pow.f64 b 3) (fma.f64 (pow.f64 b 5) (-.f64 (.f64 r -1/30) (.f64 -1/6 r)) (.f64 b r)))
(fma.f64 (pow.f64 b 5) (.f64 r 2/15) (.f64 r (+.f64 b (*.f64 1/3 (pow.f64 b 3)))))
(+.f64 (.f64 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)) (pow.f64 b 3)) (+.f64 (.f64 (-.f64 (.f64 -1/5040 r) (+.f64 (.f64 -1/2 (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))) (+.f64 (.f64 -1/720 r) (.f64 1/24 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))) (pow.f64 b 7)) (+.f64 (.f64 r b) (.f64 (pow.f64 b 5) (-.f64 (.f64 1/120 r) (+.f64 (.f64 1/24 r) (.f64 -1/2 (-.f64 (.f64 -1/6 r) (.f64 -1/2 r)))))))))
(fma.f64 (.f64 r 1/3) (pow.f64 b 3) (fma.f64 (-.f64 (.f64 r -1/5040) (fma.f64 -1/2 (-.f64 (.f64 r 1/120) (fma.f64 1/24 r (.f64 -1/2 (.f64 r 1/3)))) (fma.f64 -1/720 r (.f64 1/24 (.f64 r 1/3))))) (pow.f64 b 7) (fma.f64 r b (.f64 (pow.f64 b 5) (-.f64 (.f64 r 1/120) (fma.f64 1/24 r (.f64 -1/2 (*.f64 r 1/3))))))))
(fma.f64 (.f64 1/3 r) (pow.f64 b 3) (fma.f64 (-.f64 (.f64 r -1/5040) (fma.f64 -1/2 (-.f64 (.f64 r -1/30) (.f64 -1/6 r)) (fma.f64 -1/720 r (.f64 r 1/72)))) (pow.f64 b 7) (fma.f64 (pow.f64 b 5) (-.f64 (.f64 r -1/30) (.f64 -1/6 r)) (.f64 b r))))
(fma.f64 (-.f64 (.f64 r -1/5040) (fma.f64 -1/2 (.f64 r 2/15) (.f64 r 1/80))) (pow.f64 b 7) (fma.f64 (pow.f64 b 5) (.f64 r 2/15) (.f64 r (+.f64 b (.f64 1/3 (pow.f64 b 3))))))
(fma.f64 (+.f64 (.f64 -1/2 (.f64 r -2/15)) (.f64 r -4/315)) (pow.f64 b 7) (fma.f64 (pow.f64 b 5) (.f64 r 2/15) (.f64 r (+.f64 b (.f64 1/3 (pow.f64 b 3))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 r (sin.f64 b))
	0.2b	(*.f64 (sin.f64 b) (sin.f64 a))
✓	0.2b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 (-.f64 b a)) (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2)))
✓	3.6b	(cos.f64 (-.f64 b a))

Compiler

Compiled 63 to 19 computations (69.8% saved)

series15.0ms (0.1%)

Counts

2 → 52

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	r	@	-inf	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 (-.f64 b a)) (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2)))
2.0ms	b	@	0	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 (-.f64 b a)) (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2)))
2.0ms	a	@	0	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 (-.f64 b a)) (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2)))
2.0ms	r	@	0	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 (-.f64 b a)) (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2)))
1.0ms	b	@	inf	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 (-.f64 b a)) (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2)))

rewrite100.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

889×	`log-prod_binary64`
497×	`fma-def_binary64`
303×	`expm1-udef_binary64`
303×	`log1p-udef_binary64`
293×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	33
1	318	33
2	4704	31

Stop Event

1×	node limit

Counts

2 → 108

Calls

Call 1

Inputs
(cos.f64 (-.f64 b a))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 (-.f64 b a)) (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2)))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 r (/.f64 (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -2 (cos.f64 (-.f64 b a))) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 r (/.f64 (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -2 (cos.f64 (-.f64 b a))) (sin.f64 b))))) (cbrt.f64 (exp.f64 (/.f64 r (/.f64 (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -2 (cos.f64 (-.f64 b a))) (sin.f64 b))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 r (/.f64 (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -2 (cos.f64 (-.f64 b a))) (sin.f64 b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 r (/.f64 (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -2 (cos.f64 (-.f64 b a))) (sin.f64 b)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 r (/.f64 (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -2 (cos.f64 (-.f64 b a))) (sin.f64 b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 r (/.f64 (fma.f64 (*.f64 (sin.f64 b) 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simplify66.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

691×	`associate-l_binary64`
670×	`fma-def_binary64`
514×	`times-frac_binary64`
460×	`distribute-rgt-in_binary64`
452×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	147	1678
1	460	1582
2	1696	1406

Stop Event

1×	node limit

Counts

160 → 146

Calls

Call 1

Inputs
(cos.f64 (neg.f64 a))
(+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 a)) b)) (cos.f64 (neg.f64 a)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 b 2) (cos.f64 (neg.f64 a)))) (+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 a)) b)) (cos.f64 (neg.f64 a))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 b 2) (cos.f64 (neg.f64 a)))) (+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 a)) b)) (+.f64 (cos.f64 (neg.f64 a)) (.f64 1/6 (.f64 (sin.f64 (neg.f64 a)) (pow.f64 b 3))))))
(cos.f64 (neg.f64 (+.f64 a (*.f64 -1 b))))
(cos.f64 (neg.f64 (+.f64 a (*.f64 -1 b))))
(cos.f64 (neg.f64 (+.f64 a (*.f64 -1 b))))
(cos.f64 (neg.f64 (+.f64 a (*.f64 -1 b))))
(cos.f64 b)
(+.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (+.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (+.f64 (.f64 -1/6 (.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
(cos.f64 (+.f64 b (*.f64 -1 a)))
(cos.f64 (+.f64 b (*.f64 -1 a)))
(cos.f64 (+.f64 b (*.f64 -1 a)))
(cos.f64 (+.f64 b (*.f64 -1 a)))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 (-.f64 b a)) (.f64 2 (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 (-.f64 b a)) (.f64 2 (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 (-.f64 b a)) (.f64 2 (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 (-.f64 b a)) (.f64 2 (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 (-.f64 b a)) (.f64 2 (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 (-.f64 b a)) (.f64 2 (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 (-.f64 b a)) (.f64 2 (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 (-.f64 b a)) (.f64 2 (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 (-.f64 b a)) (.f64 2 (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 (-.f64 b a)) (.f64 2 (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 (-.f64 b a)) (.f64 2 (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 (-.f64 b a)) (.f64 2 (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 b r) (cos.f64 (neg.f64 a)))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 2 (sin.f64 a)) (sin.f64 (neg.f64 a))) (.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 (neg.f64 a)) 2)) (/.f64 (.f64 r b) (cos.f64 (neg.f64 a))))
(+.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 (neg.f64 a)))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 (neg.f64 a)))) (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 2 (sin.f64 a)) (sin.f64 (neg.f64 a))) 2) r) (pow.f64 (cos.f64 (neg.f64 a)) 3))))) (pow.f64 b 3)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 2 (sin.f64 a)) (sin.f64 (neg.f64 a))) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 (neg.f64 a)) 2)) (/.f64 (.f64 r b) (cos.f64 (neg.f64 a)))))
(+.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 (neg.f64 a)))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 (neg.f64 a)))) (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 2 (sin.f64 a)) (sin.f64 (neg.f64 a))) 2) r) (pow.f64 (cos.f64 (neg.f64 a)) 3))))) (pow.f64 b 3)) (+.f64 (.f64 -1 (.f64 (pow.f64 b 4) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1/6 (sin.f64 (neg.f64 a))) (.f64 -1/3 (sin.f64 a))) r) (pow.f64 (cos.f64 (neg.f64 a)) 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 2 (sin.f64 a)) (sin.f64 (neg.f64 a))) r) (pow.f64 (cos.f64 (neg.f64 a)) 2))) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 2 (sin.f64 a)) (sin.f64 (neg.f64 a))) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 (neg.f64 a)))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 (neg.f64 a)))) (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 2 (sin.f64 a)) (sin.f64 (neg.f64 a))) 2) r) (pow.f64 (cos.f64 (neg.f64 a)) 3)))))) (cos.f64 (neg.f64 a)))))))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 2 (sin.f64 a)) (sin.f64 (neg.f64 a))) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 (neg.f64 a)) 2)) (/.f64 (*.f64 r b) (cos.f64 (neg.f64 a))))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 (-.f64 b a)) (.f64 2 (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 (-.f64 b a)) (.f64 2 (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 (-.f64 b a)) (.f64 2 (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 (-.f64 b a)) (.f64 2 (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 (neg.f64 (+.f64 a (.f64 -1 b)))) (.f64 2 (.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 (neg.f64 (+.f64 a (.f64 -1 b)))) (.f64 2 (.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 (neg.f64 (+.f64 a (.f64 -1 b)))) (.f64 2 (.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 (neg.f64 (+.f64 a (.f64 -1 b)))) (.f64 2 (.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+.f64 (/.f64 (.f64 (sin.f64 b) (.f64 a (.f64 r (+.f64 (.f64 -1 (sin.f64 b)) (.f64 2 (sin.f64 b)))))) (pow.f64 (cos.f64 b) 2)) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (/.f64 (.f64 (sin.f64 b) (.f64 a (.f64 r (+.f64 (.f64 -1 (sin.f64 b)) (.f64 2 (sin.f64 b)))))) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))) (.f64 -1 (/.f64 (.f64 (sin.f64 b) (.f64 r (pow.f64 (+.f64 (.f64 -1 (sin.f64 b)) (.f64 2 (sin.f64 b))) 2))) (pow.f64 (cos.f64 b) 3)))) (pow.f64 a 2))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (/.f64 (.f64 (sin.f64 b) (.f64 a (.f64 r (+.f64 (.f64 -1 (sin.f64 b)) (.f64 2 (sin.f64 b)))))) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))) (.f64 -1 (/.f64 (.f64 (sin.f64 b) (.f64 r (pow.f64 (+.f64 (.f64 -1 (sin.f64 b)) (.f64 2 (sin.f64 b))) 2))) (pow.f64 (cos.f64 b) 3)))) (pow.f64 a 2))) (+.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) (.f64 r (+.f64 (.f64 -1 (sin.f64 b)) (.f64 2 (sin.f64 b))))) (pow.f64 (cos.f64 b) 2))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))) (.f64 -1 (/.f64 (.f64 (sin.f64 b) (.f64 r (pow.f64 (+.f64 (.f64 -1 (sin.f64 b)) (.f64 2 (sin.f64 b))) 2))) (pow.f64 (cos.f64 b) 3)))) (+.f64 (.f64 -1 (sin.f64 b)) (.f64 2 (sin.f64 b)))) (cos.f64 b)) (.f64 -1 (/.f64 (.f64 (sin.f64 b) (.f64 (+.f64 (.f64 -1/3 (sin.f64 b)) (*.f64 1/6 (sin.f64 b))) r)) (pow.f64 (cos.f64 b) 2))))) (pow.f64 a 3))))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 (-.f64 b a)) (.f64 2 (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 (-.f64 b a)) (.f64 2 (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 (-.f64 b a)) (.f64 2 (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 (-.f64 b a)) (.f64 2 (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 (+.f64 b (.f64 -1 a))) (.f64 2 (.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 (+.f64 b (.f64 -1 a))) (.f64 2 (.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 (+.f64 b (.f64 -1 a))) (.f64 2 (.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 (+.f64 b (.f64 -1 a))) (.f64 2 (.f64 (sin.f64 a) (sin.f64 b)))))

Outputs
(cos.f64 (neg.f64 a))
(cos.f64 a)
(+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 a)) b)) (cos.f64 (neg.f64 a)))
(fma.f64 -1 (*.f64 (neg.f64 (sin.f64 a)) b) (cos.f64 a))
(-.f64 (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) b))
(fma.f64 b (sin.f64 a) (cos.f64 a))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 b 2) (cos.f64 (neg.f64 a)))) (+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 a)) b)) (cos.f64 (neg.f64 a))))
(fma.f64 -1/2 (.f64 (cos.f64 a) (.f64 b b)) (fma.f64 -1 (*.f64 (neg.f64 (sin.f64 a)) b) (cos.f64 a)))
(fma.f64 -1/2 (.f64 (cos.f64 a) (.f64 b b)) (-.f64 (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) b)))
(fma.f64 b (sin.f64 a) (fma.f64 (cos.f64 a) (.f64 b (.f64 b -1/2)) (cos.f64 a)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 b 2) (cos.f64 (neg.f64 a)))) (+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 a)) b)) (+.f64 (cos.f64 (neg.f64 a)) (.f64 1/6 (.f64 (sin.f64 (neg.f64 a)) (pow.f64 b 3))))))
(fma.f64 -1/2 (.f64 (cos.f64 a) (.f64 b b)) (fma.f64 -1 (.f64 (neg.f64 (sin.f64 a)) b) (+.f64 (cos.f64 a) (.f64 1/6 (*.f64 (neg.f64 (sin.f64 a)) (pow.f64 b 3))))))
(fma.f64 -1/2 (.f64 (cos.f64 a) (.f64 b b)) (-.f64 (fma.f64 1/6 (.f64 (neg.f64 (sin.f64 a)) (pow.f64 b 3)) (cos.f64 a)) (.f64 (neg.f64 (sin.f64 a)) b)))
(fma.f64 (cos.f64 a) (.f64 b (.f64 b -1/2)) (fma.f64 (pow.f64 b 3) (*.f64 -1/6 (sin.f64 a)) (fma.f64 b (sin.f64 a) (cos.f64 a))))
(cos.f64 (neg.f64 (+.f64 a (*.f64 -1 b))))
(cos.f64 (+.f64 a (neg.f64 b)))
(cos.f64 (-.f64 a b))
(cos.f64 (neg.f64 (+.f64 a (*.f64 -1 b))))
(cos.f64 (+.f64 a (neg.f64 b)))
(cos.f64 (-.f64 a b))
(cos.f64 (neg.f64 (+.f64 a (*.f64 -1 b))))
(cos.f64 (+.f64 a (neg.f64 b)))
(cos.f64 (-.f64 a b))
(cos.f64 (neg.f64 (+.f64 a (*.f64 -1 b))))
(cos.f64 (+.f64 a (neg.f64 b)))
(cos.f64 (-.f64 a b))
(cos.f64 b)
(+.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(+.f64 (cos.f64 b) (*.f64 a (sin.f64 b)))
(fma.f64 a (sin.f64 b) (cos.f64 b))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (+.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(fma.f64 -1/2 (.f64 (cos.f64 b) (.f64 a a)) (+.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))
(fma.f64 -1/2 (.f64 (cos.f64 b) (.f64 a a)) (fma.f64 a (sin.f64 b) (cos.f64 b)))
(fma.f64 (fma.f64 -1/2 (.f64 a a) 1) (cos.f64 b) (.f64 a (sin.f64 b)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (+.f64 (.f64 -1/6 (.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
(fma.f64 -1/2 (.f64 (cos.f64 b) (.f64 a a)) (fma.f64 -1/6 (.f64 (sin.f64 b) (pow.f64 a 3)) (+.f64 (cos.f64 b) (.f64 a (sin.f64 b)))))
(fma.f64 -1/2 (.f64 (cos.f64 b) (.f64 a a)) (fma.f64 -1/6 (*.f64 (sin.f64 b) (pow.f64 a 3)) (fma.f64 a (sin.f64 b) (cos.f64 b))))
(fma.f64 (sin.f64 b) (.f64 (pow.f64 a 3) -1/6) (fma.f64 (fma.f64 -1/2 (.f64 a a) 1) (cos.f64 b) (*.f64 a (sin.f64 b))))
(cos.f64 (+.f64 b (*.f64 -1 a)))
(cos.f64 (+.f64 a (neg.f64 b)))
(cos.f64 (-.f64 a b))
(cos.f64 (+.f64 b (*.f64 -1 a)))
(cos.f64 (+.f64 a (neg.f64 b)))
(cos.f64 (-.f64 a b))
(cos.f64 (+.f64 b (*.f64 -1 a)))
(cos.f64 (+.f64 a (neg.f64 b)))
(cos.f64 (-.f64 a b))
(cos.f64 (+.f64 b (*.f64 -1 a)))
(cos.f64 (+.f64 a (neg.f64 b)))
(cos.f64 (-.f64 a b))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 (-.f64 b a)) (.f64 2 (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 (-.f64 b a)) (.f64 -2 (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (sin.f64 b) (/.f64 (+.f64 (cos.f64 (-.f64 a b)) (.f64 (.f64 (sin.f64 b) (sin.f64 a)) -2)) r))
(.f64 (/.f64 r (fma.f64 (.f64 (sin.f64 b) (sin.f64 a)) -2 (cos.f64 (-.f64 a b)))) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 (-.f64 b a)) (.f64 2 (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 (-.f64 b a)) (.f64 -2 (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (sin.f64 b) (/.f64 (+.f64 (cos.f64 (-.f64 a b)) (.f64 (.f64 (sin.f64 b) (sin.f64 a)) -2)) r))
(.f64 (/.f64 r (fma.f64 (.f64 (sin.f64 b) (sin.f64 a)) -2 (cos.f64 (-.f64 a b)))) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 (-.f64 b a)) (.f64 2 (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 (-.f64 b a)) (.f64 -2 (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (sin.f64 b) (/.f64 (+.f64 (cos.f64 (-.f64 a b)) (.f64 (.f64 (sin.f64 b) (sin.f64 a)) -2)) r))
(.f64 (/.f64 r (fma.f64 (.f64 (sin.f64 b) (sin.f64 a)) -2 (cos.f64 (-.f64 a b)))) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 (-.f64 b a)) (.f64 2 (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 (-.f64 b a)) (.f64 -2 (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (sin.f64 b) (/.f64 (+.f64 (cos.f64 (-.f64 a b)) (.f64 (.f64 (sin.f64 b) (sin.f64 a)) -2)) r))
(.f64 (/.f64 r (fma.f64 (.f64 (sin.f64 b) (sin.f64 a)) -2 (cos.f64 (-.f64 a b)))) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 (-.f64 b a)) (.f64 2 (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 (-.f64 b a)) (.f64 -2 (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (sin.f64 b) (/.f64 (+.f64 (cos.f64 (-.f64 a b)) (.f64 (.f64 (sin.f64 b) (sin.f64 a)) -2)) r))
(.f64 (/.f64 r (fma.f64 (.f64 (sin.f64 b) (sin.f64 a)) -2 (cos.f64 (-.f64 a b)))) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 (-.f64 b a)) (.f64 2 (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 (-.f64 b a)) (.f64 -2 (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (sin.f64 b) (/.f64 (+.f64 (cos.f64 (-.f64 a b)) (.f64 (.f64 (sin.f64 b) (sin.f64 a)) -2)) r))
(.f64 (/.f64 r (fma.f64 (.f64 (sin.f64 b) (sin.f64 a)) -2 (cos.f64 (-.f64 a b)))) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 (-.f64 b a)) (.f64 2 (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 (-.f64 b a)) (.f64 -2 (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (sin.f64 b) (/.f64 (+.f64 (cos.f64 (-.f64 a b)) (.f64 (.f64 (sin.f64 b) (sin.f64 a)) -2)) r))
(.f64 (/.f64 r (fma.f64 (.f64 (sin.f64 b) (sin.f64 a)) -2 (cos.f64 (-.f64 a b)))) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 (-.f64 b a)) (.f64 2 (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 (-.f64 b a)) (.f64 -2 (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (sin.f64 b) (/.f64 (+.f64 (cos.f64 (-.f64 a b)) (.f64 (.f64 (sin.f64 b) (sin.f64 a)) -2)) r))
(.f64 (/.f64 r (fma.f64 (.f64 (sin.f64 b) (sin.f64 a)) -2 (cos.f64 (-.f64 a b)))) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 (-.f64 b a)) (.f64 2 (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 (-.f64 b a)) (.f64 -2 (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (sin.f64 b) (/.f64 (+.f64 (cos.f64 (-.f64 a b)) (.f64 (.f64 (sin.f64 b) (sin.f64 a)) -2)) r))
(.f64 (/.f64 r (fma.f64 (.f64 (sin.f64 b) (sin.f64 a)) -2 (cos.f64 (-.f64 a b)))) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 (-.f64 b a)) (.f64 2 (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 (-.f64 b a)) (.f64 -2 (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (sin.f64 b) (/.f64 (+.f64 (cos.f64 (-.f64 a b)) (.f64 (.f64 (sin.f64 b) (sin.f64 a)) -2)) r))
(.f64 (/.f64 r (fma.f64 (.f64 (sin.f64 b) (sin.f64 a)) -2 (cos.f64 (-.f64 a b)))) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 (-.f64 b a)) (.f64 2 (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 (-.f64 b a)) (.f64 -2 (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (sin.f64 b) (/.f64 (+.f64 (cos.f64 (-.f64 a b)) (.f64 (.f64 (sin.f64 b) (sin.f64 a)) -2)) r))
(.f64 (/.f64 r (fma.f64 (.f64 (sin.f64 b) (sin.f64 a)) -2 (cos.f64 (-.f64 a b)))) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 (-.f64 b a)) (.f64 2 (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 (-.f64 b a)) (.f64 -2 (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (sin.f64 b) (/.f64 (+.f64 (cos.f64 (-.f64 a b)) (.f64 (.f64 (sin.f64 b) (sin.f64 a)) -2)) r))
(.f64 (/.f64 r (fma.f64 (.f64 (sin.f64 b) (sin.f64 a)) -2 (cos.f64 (-.f64 a b)))) (sin.f64 b))
(/.f64 (*.f64 b r) (cos.f64 (neg.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(+.f64 (/.f64 (.f64 (+.f64 (.f64 2 (sin.f64 a)) (sin.f64 (neg.f64 a))) (.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 (neg.f64 a)) 2)) (/.f64 (.f64 r b) (cos.f64 (neg.f64 a))))
(+.f64 (/.f64 r (/.f64 (cos.f64 a) b)) (/.f64 (.f64 (fma.f64 2 (sin.f64 a) (neg.f64 (sin.f64 a))) (.f64 (*.f64 b b) r)) (pow.f64 (cos.f64 a) 2)))
(+.f64 (.f64 (/.f64 r (cos.f64 a)) b) (/.f64 (-.f64 (.f64 2 (sin.f64 a)) (sin.f64 a)) (/.f64 (pow.f64 (cos.f64 a) 2) (.f64 b (.f64 b r)))))
(fma.f64 (/.f64 r (cos.f64 a)) b (.f64 (/.f64 r (/.f64 (pow.f64 (cos.f64 a) 2) (.f64 (sin.f64 a) 1))) (*.f64 b b)))
(+.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 (neg.f64 a)))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 (neg.f64 a)))) (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 2 (sin.f64 a)) (sin.f64 (neg.f64 a))) 2) r) (pow.f64 (cos.f64 (neg.f64 a)) 3))))) (pow.f64 b 3)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 2 (sin.f64 a)) (sin.f64 (neg.f64 a))) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 (neg.f64 a)) 2)) (/.f64 (.f64 r b) (cos.f64 (neg.f64 a)))))
(fma.f64 (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (fma.f64 -1/2 (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (pow.f64 (fma.f64 2 (sin.f64 a) (neg.f64 (sin.f64 a))) 2) (/.f64 (pow.f64 (cos.f64 a) 3) r))))) (pow.f64 b 3) (+.f64 (/.f64 r (/.f64 (cos.f64 a) b)) (/.f64 (.f64 (fma.f64 2 (sin.f64 a) (neg.f64 (sin.f64 a))) (.f64 (.f64 b b) r)) (pow.f64 (cos.f64 a) 2))))
(+.f64 (.f64 (/.f64 r (cos.f64 a)) b) (fma.f64 (pow.f64 b 3) (-.f64 (.f64 (/.f64 r (cos.f64 a)) 1/3) (/.f64 (neg.f64 (.f64 r (pow.f64 (-.f64 (.f64 2 (sin.f64 a)) (sin.f64 a)) 2))) (pow.f64 (cos.f64 a) 3))) (/.f64 (-.f64 (.f64 2 (sin.f64 a)) (sin.f64 a)) (/.f64 (pow.f64 (cos.f64 a) 2) (.f64 b (*.f64 b r))))))
(fma.f64 (pow.f64 b 3) (fma.f64 (/.f64 r (cos.f64 a)) 1/3 (.f64 (/.f64 (pow.f64 (.f64 (sin.f64 a) 1) 2) (pow.f64 (cos.f64 a) 3)) r)) (fma.f64 (/.f64 r (cos.f64 a)) b (.f64 (/.f64 r (/.f64 (pow.f64 (cos.f64 a) 2) (.f64 (sin.f64 a) 1))) (*.f64 b b))))
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(fma.f64 (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (fma.f64 -1/2 (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (pow.f64 (fma.f64 2 (sin.f64 a) (neg.f64 (sin.f64 a))) 2) (/.f64 (pow.f64 (cos.f64 a) 3) r))))) (pow.f64 b 3) (fma.f64 -1 (.f64 (pow.f64 b 4) (fma.f64 -1 (/.f64 (fma.f64 -1/6 (neg.f64 (sin.f64 a)) (.f64 (sin.f64 a) -1/3)) (/.f64 (pow.f64 (cos.f64 a) 2) r)) (fma.f64 -1/2 (/.f64 (fma.f64 2 (sin.f64 a) (neg.f64 (sin.f64 a))) (/.f64 (pow.f64 (cos.f64 a) 2) r)) (neg.f64 (/.f64 (fma.f64 2 (sin.f64 a) (neg.f64 (sin.f64 a))) (/.f64 (cos.f64 a) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (fma.f64 -1/2 (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (pow.f64 (fma.f64 2 (sin.f64 a) (neg.f64 (sin.f64 a))) 2) (/.f64 (pow.f64 (cos.f64 a) 3) r))))))))))) (+.f64 (/.f64 r (/.f64 (cos.f64 a) b)) (/.f64 (.f64 (fma.f64 2 (sin.f64 a) (neg.f64 (sin.f64 a))) (.f64 (*.f64 b b) r)) (pow.f64 (cos.f64 a) 2)))))
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(.f64 (/.f64 r (fma.f64 (.f64 (sin.f64 b) (sin.f64 a)) -2 (cos.f64 (-.f64 a b)))) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 (+.f64 b (.f64 -1 a))) (.f64 2 (.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 (-.f64 b a)) (.f64 -2 (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (sin.f64 b) (/.f64 (+.f64 (cos.f64 (-.f64 a b)) (.f64 (.f64 (sin.f64 b) (sin.f64 a)) -2)) r))
(.f64 (/.f64 r (fma.f64 (.f64 (sin.f64 b) (sin.f64 a)) -2 (cos.f64 (-.f64 a b)))) (sin.f64 b))

eval320.0ms (1.8%)

Compiler: Compiled 21689 to 7932 computations (63.4% saved)

prune265.0ms (1.5%)

Pruning

90 alts after pruning (82 fresh and 8 done)

	Pruned	Kept	Total
New	891	38	929
Fresh	30	44	74
Picked	0	1	1
Done	1	7	8
Total	922	90	1012

Error

Counts

1012 → 90

Alt Table

Click to see full alt table

Status	Error	Program
	0.4b	(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
	49.1b	(pow.f64 (pow.f64 (*.f64 (/.f64 r 1) (tan.f64 b)) 3) 1/3)
✓	41.0b	(*.f64 r b)
	31.0b	(/.f64 (cbrt.f64 (pow.f64 (.f64 r (sin.f64 b)) 3)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	0.6b	(/.f64 (.f64 r (sin.f64 b)) (log.f64 (/.f64 (exp.f64 (.f64 (cos.f64 b) (cos.f64 a))) (pow.f64 (exp.f64 (sin.f64 a)) (sin.f64 b)))))
	0.3b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (+.f64 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))) (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2)))
	28.0b	(/.f64 (pow.f64 (sqrt.f64 (.f64 (sin.f64 b) r)) 2) (-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))))
	41.9b	(/.f64 b (fma.f64 -1/2 (*.f64 (/.f64 a r) a) (/.f64 1 r)))
	36.4b	(/.f64 (-.f64 (+.f64 1 (*.f64 (sin.f64 b) r)) 1) (cos.f64 (+.f64 b a)))
	28.7b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 b b)) 1) (cos.f64 a)) (*.f64 b (sin.f64 a))))
	52.9b	(neg.f64 (/.f64 (sin.f64 b) (*.f64 (/.f64 1 r) (cos.f64 (+.f64 b a)))))
	13.7b	(/.f64 (.f64 1/3 (.f64 3 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
	53.7b	(log.f64 (/.f64 1 (exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))))
	52.9b	(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (neg.f64 (cos.f64 (+.f64 b a)))))
	0.4b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (.f64 (sin.f64 b) (sin.f64 a)) -1))) (fma.f64 (.f64 (sin.f64 b) (sin.f64 a)) -1 (.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 3)) -1))))
	0.4b	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (.f64 (sin.f64 b) (sin.f64 a))))))))
	31.7b	(/.f64 (.f64 (cbrt.f64 (pow.f64 (sin.f64 b) 2)) (.f64 (cbrt.f64 (sin.f64 b)) r)) (fma.f64 (sqrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (sqrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	25.3b	(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
	0.3b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (log1p.f64 (expm1.f64 (.f64 (sin.f64 b) (sin.f64 a)))))))
	14.1b	(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3))
	33.5b	(.f64 (sqrt.f64 (pow.f64 (cos.f64 b) -2)) (.f64 r (sin.f64 b)))
	28.4b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a))))
	13.7b	(+.f64 0 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
	28.4b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 a)) b)) (cos.f64 (neg.f64 a))) (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2)))
	54.5b	(neg.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))))))
	52.9b	(neg.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r))
	51.1b	(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)))
	41.1b	(/.f64 b (/.f64 1 r))
	29.4b	(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
	26.5b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2)))
	57.5b	(neg.f64 (/.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))
	52.9b	(neg.f64 (/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 3)))
✓	29.4b	(/.f64 b (/.f64 (cos.f64 a) r))
✓	52.9b	(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))
	22.2b	(/.f64 (expm1.f64 (log1p.f64 (*.f64 (sin.f64 b) r))) (cos.f64 (+.f64 b a)))
	40.5b	(.f64 (/.f64 1 (cos.f64 b)) (cbrt.f64 (pow.f64 (.f64 r (sin.f64 b)) 3)))
	25.5b	(.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cos.f64 b))) 3) (.f64 r (sin.f64 b)))
	54.4b	(neg.f64 (/.f64 (sin.f64 b) (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 3) 1/3)))
	0.4b	(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (sin.f64 a) (fma.f64 (sin.f64 b) (.f64 -2 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))))
	29.4b	(*.f64 (/.f64 1 (cos.f64 a)) (/.f64 b (/.f64 1 r)))
	29.4b	(/.f64 r (/.f64 (cos.f64 a) b))
	0.8b	(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (.f64 (cos.f64 b) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (cbrt.f64 (cos.f64 a)) (fma.f64 (sin.f64 b) (.f64 -2 (sin.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))))
	57.1b	(neg.f64 (/.f64 (sin.f64 b) (expm1.f64 (log1p.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))
	55.1b	(exp.f64 (-.f64 (*.f64 (log.f64 r) 1) (neg.f64 (log.f64 (tan.f64 b)))))
	40.8b	(-.f64 (+.f64 1 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) 1)
	52.9b	(neg.f64 (/.f64 (sin.f64 b) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3) r)))
	27.1b	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
✓	29.3b	(*.f64 (/.f64 r (cos.f64 a)) b)
	29.9b	(/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b)) (cos.f64 a))
	28.7b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (.f64 b (-.f64 (.f64 (cos.f64 a) (.f64 -1/2 b)) (sin.f64 a)))))
	54.0b	(neg.f64 (/.f64 (*.f64 b r) (cos.f64 a)))
✓	0.3b	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	14.3b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 (-.f64 b a)) (.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) 2)))
	29.9b	(/.f64 b (pow.f64 (cbrt.f64 (/.f64 (cos.f64 a) r)) 3))
	29.3b	(/.f64 (*.f64 r b) (cos.f64 a))
	12.7b	(/.f64 (.f64 (cbrt.f64 (pow.f64 (sin.f64 b) 2)) (.f64 (cbrt.f64 (sin.f64 b)) r)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))
	25.3b	(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 b)))))
	31.0b	(/.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 b) r) 3)) (-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))))
	13.7b	(.f64 r (.f64 (sin.f64 b) (/.f64 1 (cos.f64 (+.f64 b a)))))
	1.2b	(/.f64 (pow.f64 (cbrt.f64 (.f64 r (sin.f64 b))) 3) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	25.2b	(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
	51.9b	(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)))
	0.4b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (+.f64 (.f64 -2 (cbrt.f64 (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 3))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))))
	45.0b	(-.f64 (+.f64 1 (*.f64 b (/.f64 r (cos.f64 a)))) 1)
	0.4b	(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
	42.2b	(pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 r 1) (tan.f64 b))))
	33.3b	(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 a) 2)))
	28.0b	(/.f64 (pow.f64 (sqrt.f64 (.f64 r (sin.f64 b))) 2) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	52.3b	(/.f64 (log.f64 (+.f64 1 (*.f64 (sin.f64 b) r))) (cos.f64 (+.f64 b a)))
✓	0.3b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))))
	25.4b	(pow.f64 (/.f64 (/.f64 1 (tan.f64 b)) r) -1)
✓	25.5b	(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 b)) 3))
	25.2b	(*.f64 (/.f64 r 1) (tan.f64 b))
	0.4b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
	24.8b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2)))
	28.9b	(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 (sin.f64 a) (+.f64 (neg.f64 b) (.f64 1/6 (pow.f64 b 3)))) (.f64 (+.f64 (.f64 -1/2 (.f64 b b)) 1) (cos.f64 a))))
✓	13.2b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 (-.f64 b a)) (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2)))
	51.9b	(neg.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))))
	14.3b	(/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 3) (cos.f64 (+.f64 b a)))
	38.6b	(/.f64 (*.f64 r (sin.f64 b)) 1)
	13.6b	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
	47.1b	(pow.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 3) 1/3)
	52.9b	(neg.f64 (/.f64 (sin.f64 b) (/.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 b a)))) r)))
	25.3b	(*.f64 r (/.f64 1 (/.f64 1 (tan.f64 b))))
	53.3b	(/.f64 (log.f64 1) (cos.f64 (+.f64 b a)))
	25.7b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 r 1) (tan.f64 b))) 3)
	0.5b	(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (pow.f64 (cbrt.f64 (sin.f64 a)) 2) (.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b)) (fma.f64 (sin.f64 b) (.f64 -2 (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b)))))
	45.3b	(/.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) 3) 1/3) (cos.f64 (+.f64 b a)))
	42.1b	(exp.f64 (log.f64 (*.f64 (/.f64 r 1) (tan.f64 b))))
	38.1b	(/.f64 b (expm1.f64 (log1p.f64 (/.f64 (cos.f64 a) r))))

Compiler

Compiled 1521 to 1050 computations (31% saved)

regimes892.0ms (4.9%)

Counts

181 → 1

Calls

Call 1

Inputs
(*.f64 r b)
(/.f64 b (/.f64 1 r))
(*.f64 (/.f64 r 1) (tan.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) 1)
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 (*.f64 b r) (cos.f64 a))
(neg.f64 (*.f64 r (/.f64 b (cos.f64 a))))
(neg.f64 (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 r (/.f64 1 (/.f64 1 (tan.f64 b))))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(.f64 (.f64 (/.f64 1 (cos.f64 a)) r) b)
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(.f64 r (+.f64 b (.f64 1/3 (pow.f64 b 3))))
(*.f64 (/.f64 1 (cos.f64 a)) (/.f64 b (/.f64 1 r)))
(-.f64 (+.f64 1 (*.f64 b (/.f64 r (cos.f64 a)))) 1)
(*.f64 (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1) b)
(/.f64 b (fma.f64 -1/2 (*.f64 (/.f64 a r) a) (/.f64 1 r)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 1))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (log.f64 1) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(pow.f64 (/.f64 (/.f64 1 (tan.f64 b)) r) -1)
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)))
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)))
(neg.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))))
(.f64 (/.f64 1 (cos.f64 b)) (.f64 r (sin.f64 b)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(neg.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r))
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))
(-.f64 (+.f64 1 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) 1)
(+.f64 0 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(.f64 r (.f64 (sin.f64 b) (/.f64 1 (cos.f64 (+.f64 b a)))))
(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))
(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))
(.f64 r (.f64 (sin.f64 b) (/.f64 1 (cos.f64 (+.f64 b a)))))
(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(neg.f64 (/.f64 (sin.f64 b) (*.f64 (/.f64 1 r) (cos.f64 (+.f64 b a)))))
(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (-.f64 (+.f64 1 (*.f64 (sin.f64 b) r)) 1) (cos.f64 (+.f64 b a)))
(/.f64 (.f64 1/3 (.f64 3 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(/.f64 (.f64 3 (.f64 1/3 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b)) (cos.f64 a))
(/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b)) (cos.f64 (+.f64 b a)))
(exp.f64 (log.f64 (*.f64 (/.f64 r 1) (tan.f64 b))))
(/.f64 b (expm1.f64 (log1p.f64 (/.f64 (cos.f64 a) r))))
(*.f64 (exp.f64 (log.f64 (/.f64 r (cos.f64 a)))) b)
(/.f64 b (pow.f64 (cbrt.f64 (/.f64 (cos.f64 a) r)) 3))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r 1) (tan.f64 b))) 3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 a)) b)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 r 1) (tan.f64 b)) 3) 1/3)
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -1)
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a))))
(/.f64 (log.f64 (+.f64 1 (*.f64 (sin.f64 b) r))) (cos.f64 (+.f64 b a)))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (.f64 a (sin.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 (sin.f64 a) b)))
(/.f64 (.f64 r (sin.f64 b)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 b))))))
(/.f64 (.f64 r (sin.f64 b)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 (+.f64 b a)))))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 b b)) 1) (cos.f64 a)) (*.f64 b (sin.f64 a))))
(log.f64 (exp.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))))
(exp.f64 (log.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))))
(.f64 (sqrt.f64 (pow.f64 (cos.f64 b) -2)) (.f64 r (sin.f64 b)))
(exp.f64 (-.f64 (*.f64 (log.f64 r) 1) (neg.f64 (log.f64 (tan.f64 b)))))
(pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 r 1) (tan.f64 b))))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) 3)
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 b)) 3))
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 b) 2)))
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 a) 2)))
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 b)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))) 1)
(pow.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) 3) 1/3)
(/.f64 (expm1.f64 (log1p.f64 (*.f64 (sin.f64 b) r))) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 b))) 1))
(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(/.f64 (expm1.f64 (log1p.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(exp.f64 (log.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))))
(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(/.f64 (expm1.f64 (log1p.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(exp.f64 (log.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a)))))
(log.f64 (exp.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))
(.f64 (/.f64 1 (cos.f64 b)) (cbrt.f64 (pow.f64 (.f64 r (sin.f64 b)) 3)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cos.f64 b))) 3) (.f64 r (sin.f64 b)))
(neg.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))))))
(neg.f64 (/.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))
(neg.f64 (/.f64 (sin.f64 b) (expm1.f64 (log1p.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 3) (cos.f64 (+.f64 b a)))
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 b a)))) r)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))) 3)
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -2))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2)) (cos.f64 (+.f64 b a)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (+.f64 b a)))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 3)
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))
(neg.f64 (/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 3)))
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3) r)))
(/.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) 3) 1/3) (cos.f64 (+.f64 b a)))
(log.f64 (/.f64 1 (exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))))
(/.f64 (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) 1/3) (cos.f64 (+.f64 b a)))
(/.f64 (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) 1/3) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 b a)))) 1))
(/.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 r (sin.f64 b)))) 1) (cos.f64 (+.f64 b a)))
(pow.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 3) 1/3)
(neg.f64 (/.f64 (sin.f64 b) (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 3) 1/3)))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2)))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2)))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 (-.f64 b a)) (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2)))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 (-.f64 b a)) (.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) 2)))
(.f64 b (+.f64 (/.f64 r (cos.f64 a)) (.f64 (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) r) b)))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (fma.f64 -1/2 (.f64 a a) 1) (cos.f64 b)) (.f64 a (sin.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (.f64 b (-.f64 (.f64 (cos.f64 a) (.f64 -1/2 b)) (sin.f64 a)))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 (sin.f64 a) (+.f64 (neg.f64 b) (.f64 1/6 (pow.f64 b 3)))) (.f64 (+.f64 (.f64 -1/2 (.f64 b b)) 1) (cos.f64 a))))
(/.f64 (log.f64 (pow.f64 (exp.f64 r) (sin.f64 b))) (cos.f64 (+.f64 b a)))
(/.f64 (.f64 (pow.f64 (sin.f64 b) 2/3) (.f64 (cbrt.f64 (sin.f64 b)) r)) (cos.f64 (+.f64 b a)))
(/.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3)) 1/3) (cos.f64 (+.f64 b a)))
(pow.f64 (/.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) (pow.f64 (cos.f64 (+.f64 b a)) 3)) 1/3)
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 a)) b)) (cos.f64 (neg.f64 a))) (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2)))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (sin.f64 b) 2)) (.f64 (cbrt.f64 (sin.f64 b)) r)) (cos.f64 (+.f64 b a)))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (+.f64 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))) (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2)))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (cbrt.f64 (pow.f64 (.f64 r (sin.f64 b)) 3)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (pow.f64 (cbrt.f64 (.f64 r (sin.f64 b))) 3) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (pow.f64 (sqrt.f64 (.f64 r (sin.f64 b))) 2) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (.f64 (sin.f64 b) (sin.f64 a))))))))
(/.f64 (.f64 r (sin.f64 b)) (log.f64 (/.f64 (exp.f64 (.f64 (cos.f64 b) (cos.f64 a))) (pow.f64 (exp.f64 (sin.f64 a)) (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 b a))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 b a)))))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (sin.f64 a) (fma.f64 (sin.f64 b) (.f64 -2 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (sin.f64 b) 2)) (.f64 (cbrt.f64 (sin.f64 b)) r)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (log1p.f64 (expm1.f64 (.f64 (sin.f64 b) (sin.f64 a)))))))
(/.f64 (pow.f64 (sqrt.f64 (.f64 (sin.f64 b) r)) 2) (-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 b) r) 3)) (-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (+.f64 (.f64 -2 (cbrt.f64 (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 3))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sqrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (sqrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) 2) (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (.f64 (cos.f64 b) (sqrt.f64 (cos.f64 a))) (sqrt.f64 (cos.f64 a)) (-.f64 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2))))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (.f64 (sin.f64 b) (sin.f64 a)) -1))) (fma.f64 (.f64 (sin.f64 b) (sin.f64 a)) -1 (.f64 (.f64 (sin.f64 b) (sin.f64 a)) -1))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2) (.f64 (cbrt.f64 (cos.f64 b)) (cos.f64 a)) (-.f64 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (.f64 (cos.f64 b) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (cbrt.f64 (cos.f64 a)) (fma.f64 (sin.f64 b) (.f64 -2 (sin.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (pow.f64 (cbrt.f64 (sin.f64 a)) 2) (.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b)) (fma.f64 (sin.f64 b) (.f64 -2 (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b)))))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (.f64 (sin.f64 b) (sin.f64 a)) -1))) (fma.f64 (.f64 (sin.f64 b) (sin.f64 a)) -1 (.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 3)) -1))))
(/.f64 (pow.f64 (sqrt.f64 (.f64 r (sin.f64 b))) 2) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (.f64 (sin.f64 b) (sin.f64 a)) -1))) (fma.f64 (.f64 (sin.f64 b) (sin.f64 a)) -1 (.f64 (.f64 (sin.f64 b) (sin.f64 a)) -1))))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (sin.f64 b) 2)) (.f64 (cbrt.f64 (sin.f64 b)) r)) (fma.f64 (sqrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (sqrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2) (.f64 (cbrt.f64 (cos.f64 b)) (cos.f64 a)) (neg.f64 (.f64 (.f64 (sin.f64 b) (sin.f64 a)) -1))) (fma.f64 (.f64 (sin.f64 b) (sin.f64 a)) -1 (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) 3) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) 2) (+.f64 (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 2) (.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))))))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (.f64 (sqrt.f64 (sin.f64 a)) (sin.f64 b)) (sqrt.f64 (sin.f64 a))))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 (sin.f64 a)) (sin.f64 b))) (sqrt.f64 (sin.f64 a)) (.f64 (.f64 (sqrt.f64 (sin.f64 a)) (sin.f64 b)) (sqrt.f64 (sin.f64 a))))))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b))))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a))) (sqrt.f64 (sin.f64 b)) (.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b))))))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 1 (.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (.f64 (.f64 (sqrt.f64 (sin.f64 a)) (sin.f64 b)) (sqrt.f64 (sin.f64 a))))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 (sin.f64 a)) (sin.f64 b))) (sqrt.f64 (sin.f64 a)) (.f64 (*.f64 (sqrt.f64 (sin.f64 a)) (sin.f64 b)) (sqrt.f64 (sin.f64 a))))))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b)) (pow.f64 (cbrt.f64 (sin.f64 a)) 2)))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (cbrt.f64 (sin.f64 a)) 2) (.f64 (.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b)) (pow.f64 (cbrt.f64 (sin.f64 a)) 2)))))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (pow.f64 (cbrt.f64 (sin.f64 b)) 2)))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a))) (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (pow.f64 (cbrt.f64 (sin.f64 b)) 2)))))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (cbrt.f64 (pow.f64 (sin.f64 b) 2))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a))) (cbrt.f64 (pow.f64 (sin.f64 b) 2)) (.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (cbrt.f64 (pow.f64 (sin.f64 b) 2))))))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) 2) (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 (.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b))))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a))) (sqrt.f64 (sin.f64 b)) (.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b))))))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) 2) (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b)) (pow.f64 (cbrt.f64 (sin.f64 a)) 2)))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (cbrt.f64 (sin.f64 a)) 2) (.f64 (.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b)) (pow.f64 (cbrt.f64 (sin.f64 a)) 2)))))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) 2) (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (cbrt.f64 (pow.f64 (sin.f64 b) 2))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a))) (cbrt.f64 (pow.f64 (sin.f64 b) 2)) (.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (cbrt.f64 (pow.f64 (sin.f64 b) 2))))))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (sqrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (sqrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a)))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) 2) (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) 2)))))

Outputs

(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1))) (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1))))

Calls

4 calls:

224.0ms	b
223.0ms	r
200.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
175.0ms	a

Results

Error	Segments	Branch
0.3b	1	`r`
0.3b	1	`a`
0.3b	1	`b`
0.3b	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 2856 to 893 computations (68.7% saved)

regimes634.0ms (3.5%)

Counts

162 → 1

Calls

Call 1

Inputs
(*.f64 r b)
(/.f64 b (/.f64 1 r))
(*.f64 (/.f64 r 1) (tan.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) 1)
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 (*.f64 b r) (cos.f64 a))
(neg.f64 (*.f64 r (/.f64 b (cos.f64 a))))
(neg.f64 (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 r (/.f64 1 (/.f64 1 (tan.f64 b))))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(.f64 (.f64 (/.f64 1 (cos.f64 a)) r) b)
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(.f64 r (+.f64 b (.f64 1/3 (pow.f64 b 3))))
(*.f64 (/.f64 1 (cos.f64 a)) (/.f64 b (/.f64 1 r)))
(-.f64 (+.f64 1 (*.f64 b (/.f64 r (cos.f64 a)))) 1)
(*.f64 (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1) b)
(/.f64 b (fma.f64 -1/2 (*.f64 (/.f64 a r) a) (/.f64 1 r)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 1))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (log.f64 1) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(pow.f64 (/.f64 (/.f64 1 (tan.f64 b)) r) -1)
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)))
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)))
(neg.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))))
(.f64 (/.f64 1 (cos.f64 b)) (.f64 r (sin.f64 b)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(neg.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r))
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))
(-.f64 (+.f64 1 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) 1)
(+.f64 0 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(.f64 r (.f64 (sin.f64 b) (/.f64 1 (cos.f64 (+.f64 b a)))))
(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))
(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))
(.f64 r (.f64 (sin.f64 b) (/.f64 1 (cos.f64 (+.f64 b a)))))
(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(neg.f64 (/.f64 (sin.f64 b) (*.f64 (/.f64 1 r) (cos.f64 (+.f64 b a)))))
(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (-.f64 (+.f64 1 (*.f64 (sin.f64 b) r)) 1) (cos.f64 (+.f64 b a)))
(/.f64 (.f64 1/3 (.f64 3 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(/.f64 (.f64 3 (.f64 1/3 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b)) (cos.f64 a))
(/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b)) (cos.f64 (+.f64 b a)))
(exp.f64 (log.f64 (*.f64 (/.f64 r 1) (tan.f64 b))))
(/.f64 b (expm1.f64 (log1p.f64 (/.f64 (cos.f64 a) r))))
(*.f64 (exp.f64 (log.f64 (/.f64 r (cos.f64 a)))) b)
(/.f64 b (pow.f64 (cbrt.f64 (/.f64 (cos.f64 a) r)) 3))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r 1) (tan.f64 b))) 3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 a)) b)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 r 1) (tan.f64 b)) 3) 1/3)
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -1)
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a))))
(/.f64 (log.f64 (+.f64 1 (*.f64 (sin.f64 b) r))) (cos.f64 (+.f64 b a)))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (.f64 a (sin.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 (sin.f64 a) b)))
(/.f64 (.f64 r (sin.f64 b)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 b))))))
(/.f64 (.f64 r (sin.f64 b)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 (+.f64 b a)))))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 b b)) 1) (cos.f64 a)) (*.f64 b (sin.f64 a))))
(log.f64 (exp.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))))
(exp.f64 (log.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))))
(.f64 (sqrt.f64 (pow.f64 (cos.f64 b) -2)) (.f64 r (sin.f64 b)))
(exp.f64 (-.f64 (*.f64 (log.f64 r) 1) (neg.f64 (log.f64 (tan.f64 b)))))
(pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 r 1) (tan.f64 b))))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) 3)
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 b)) 3))
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 b) 2)))
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 a) 2)))
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 b)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))) 1)
(pow.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) 3) 1/3)
(/.f64 (expm1.f64 (log1p.f64 (*.f64 (sin.f64 b) r))) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 b))) 1))
(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(/.f64 (expm1.f64 (log1p.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(exp.f64 (log.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))))
(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(/.f64 (expm1.f64 (log1p.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(exp.f64 (log.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a)))))
(log.f64 (exp.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))
(.f64 (/.f64 1 (cos.f64 b)) (cbrt.f64 (pow.f64 (.f64 r (sin.f64 b)) 3)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cos.f64 b))) 3) (.f64 r (sin.f64 b)))
(neg.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))))))
(neg.f64 (/.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))
(neg.f64 (/.f64 (sin.f64 b) (expm1.f64 (log1p.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 3) (cos.f64 (+.f64 b a)))
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 b a)))) r)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))) 3)
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -2))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2)) (cos.f64 (+.f64 b a)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (+.f64 b a)))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 3)
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))
(neg.f64 (/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 3)))
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3) r)))
(/.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) 3) 1/3) (cos.f64 (+.f64 b a)))
(log.f64 (/.f64 1 (exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))))
(/.f64 (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) 1/3) (cos.f64 (+.f64 b a)))
(/.f64 (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) 1/3) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 b a)))) 1))
(/.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 r (sin.f64 b)))) 1) (cos.f64 (+.f64 b a)))
(pow.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 3) 1/3)
(neg.f64 (/.f64 (sin.f64 b) (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 3) 1/3)))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2)))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2)))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 (-.f64 b a)) (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2)))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 (-.f64 b a)) (.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) 2)))
(.f64 b (+.f64 (/.f64 r (cos.f64 a)) (.f64 (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) r) b)))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (fma.f64 -1/2 (.f64 a a) 1) (cos.f64 b)) (.f64 a (sin.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (.f64 b (-.f64 (.f64 (cos.f64 a) (.f64 -1/2 b)) (sin.f64 a)))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 (sin.f64 a) (+.f64 (neg.f64 b) (.f64 1/6 (pow.f64 b 3)))) (.f64 (+.f64 (.f64 -1/2 (.f64 b b)) 1) (cos.f64 a))))
(/.f64 (log.f64 (pow.f64 (exp.f64 r) (sin.f64 b))) (cos.f64 (+.f64 b a)))
(/.f64 (.f64 (pow.f64 (sin.f64 b) 2/3) (.f64 (cbrt.f64 (sin.f64 b)) r)) (cos.f64 (+.f64 b a)))
(/.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3)) 1/3) (cos.f64 (+.f64 b a)))
(pow.f64 (/.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) (pow.f64 (cos.f64 (+.f64 b a)) 3)) 1/3)
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 a)) b)) (cos.f64 (neg.f64 a))) (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2)))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (sin.f64 b) 2)) (.f64 (cbrt.f64 (sin.f64 b)) r)) (cos.f64 (+.f64 b a)))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (+.f64 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))) (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2)))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (cbrt.f64 (pow.f64 (.f64 r (sin.f64 b)) 3)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (pow.f64 (cbrt.f64 (.f64 r (sin.f64 b))) 3) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (pow.f64 (sqrt.f64 (.f64 r (sin.f64 b))) 2) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (.f64 (sin.f64 b) (sin.f64 a))))))))
(/.f64 (.f64 r (sin.f64 b)) (log.f64 (/.f64 (exp.f64 (.f64 (cos.f64 b) (cos.f64 a))) (pow.f64 (exp.f64 (sin.f64 a)) (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 b a))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 b a)))))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (sin.f64 a) (fma.f64 (sin.f64 b) (.f64 -2 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (sin.f64 b) 2)) (.f64 (cbrt.f64 (sin.f64 b)) r)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (log1p.f64 (expm1.f64 (.f64 (sin.f64 b) (sin.f64 a)))))))
(/.f64 (pow.f64 (sqrt.f64 (.f64 (sin.f64 b) r)) 2) (-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 b) r) 3)) (-.f64 (+.f64 (.f64 -2 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (+.f64 (.f64 -2 (cbrt.f64 (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 3))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sqrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (sqrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) 2) (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (.f64 (cos.f64 b) (sqrt.f64 (cos.f64 a))) (sqrt.f64 (cos.f64 a)) (-.f64 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2))))

Outputs
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))

Calls

4 calls:

167.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
142.0ms	b
134.0ms	a
133.0ms	r

Results

Error	Segments	Branch
0.3b	1	`r`
0.3b	1	`a`
0.3b	1	`b`
0.3b	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 2029 to 681 computations (66.4% saved)

regimes494.0ms (2.7%)

Counts

144 → 1

Calls

Call 1

Inputs
(*.f64 r b)
(/.f64 b (/.f64 1 r))
(*.f64 (/.f64 r 1) (tan.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) 1)
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 (*.f64 b r) (cos.f64 a))
(neg.f64 (*.f64 r (/.f64 b (cos.f64 a))))
(neg.f64 (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 r (/.f64 1 (/.f64 1 (tan.f64 b))))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(.f64 (.f64 (/.f64 1 (cos.f64 a)) r) b)
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(.f64 r (+.f64 b (.f64 1/3 (pow.f64 b 3))))
(*.f64 (/.f64 1 (cos.f64 a)) (/.f64 b (/.f64 1 r)))
(-.f64 (+.f64 1 (*.f64 b (/.f64 r (cos.f64 a)))) 1)
(*.f64 (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1) b)
(/.f64 b (fma.f64 -1/2 (*.f64 (/.f64 a r) a) (/.f64 1 r)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 1))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (log.f64 1) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(pow.f64 (/.f64 (/.f64 1 (tan.f64 b)) r) -1)
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)))
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)))
(neg.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))))
(.f64 (/.f64 1 (cos.f64 b)) (.f64 r (sin.f64 b)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(neg.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r))
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))
(-.f64 (+.f64 1 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) 1)
(+.f64 0 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(.f64 r (.f64 (sin.f64 b) (/.f64 1 (cos.f64 (+.f64 b a)))))
(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))
(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))
(.f64 r (.f64 (sin.f64 b) (/.f64 1 (cos.f64 (+.f64 b a)))))
(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(neg.f64 (/.f64 (sin.f64 b) (*.f64 (/.f64 1 r) (cos.f64 (+.f64 b a)))))
(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (-.f64 (+.f64 1 (*.f64 (sin.f64 b) r)) 1) (cos.f64 (+.f64 b a)))
(/.f64 (.f64 1/3 (.f64 3 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(/.f64 (.f64 3 (.f64 1/3 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b)) (cos.f64 a))
(/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b)) (cos.f64 (+.f64 b a)))
(exp.f64 (log.f64 (*.f64 (/.f64 r 1) (tan.f64 b))))
(/.f64 b (expm1.f64 (log1p.f64 (/.f64 (cos.f64 a) r))))
(*.f64 (exp.f64 (log.f64 (/.f64 r (cos.f64 a)))) b)
(/.f64 b (pow.f64 (cbrt.f64 (/.f64 (cos.f64 a) r)) 3))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r 1) (tan.f64 b))) 3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 a)) b)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 r 1) (tan.f64 b)) 3) 1/3)
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -1)
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a))))
(/.f64 (log.f64 (+.f64 1 (*.f64 (sin.f64 b) r))) (cos.f64 (+.f64 b a)))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (.f64 a (sin.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 (sin.f64 a) b)))
(/.f64 (.f64 r (sin.f64 b)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 b))))))
(/.f64 (.f64 r (sin.f64 b)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 (+.f64 b a)))))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 b b)) 1) (cos.f64 a)) (*.f64 b (sin.f64 a))))
(log.f64 (exp.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))))
(exp.f64 (log.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))))
(.f64 (sqrt.f64 (pow.f64 (cos.f64 b) -2)) (.f64 r (sin.f64 b)))
(exp.f64 (-.f64 (*.f64 (log.f64 r) 1) (neg.f64 (log.f64 (tan.f64 b)))))
(pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 r 1) (tan.f64 b))))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) 3)
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 b)) 3))
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 b) 2)))
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 a) 2)))
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 b)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))) 1)
(pow.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) 3) 1/3)
(/.f64 (expm1.f64 (log1p.f64 (*.f64 (sin.f64 b) r))) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 b))) 1))
(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(/.f64 (expm1.f64 (log1p.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(exp.f64 (log.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))))
(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(/.f64 (expm1.f64 (log1p.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(exp.f64 (log.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a)))))
(log.f64 (exp.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))
(.f64 (/.f64 1 (cos.f64 b)) (cbrt.f64 (pow.f64 (.f64 r (sin.f64 b)) 3)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cos.f64 b))) 3) (.f64 r (sin.f64 b)))
(neg.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))))))
(neg.f64 (/.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))
(neg.f64 (/.f64 (sin.f64 b) (expm1.f64 (log1p.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 3) (cos.f64 (+.f64 b a)))
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 b a)))) r)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))) 3)
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -2))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2)) (cos.f64 (+.f64 b a)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (+.f64 b a)))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 3)
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))
(neg.f64 (/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 3)))
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3) r)))
(/.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) 3) 1/3) (cos.f64 (+.f64 b a)))
(log.f64 (/.f64 1 (exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))))
(/.f64 (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) 1/3) (cos.f64 (+.f64 b a)))
(/.f64 (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) 1/3) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 b a)))) 1))
(/.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 r (sin.f64 b)))) 1) (cos.f64 (+.f64 b a)))
(pow.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 3) 1/3)
(neg.f64 (/.f64 (sin.f64 b) (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 3) 1/3)))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2)))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2)))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 (-.f64 b a)) (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2)))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 (-.f64 b a)) (.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) 2)))
(.f64 b (+.f64 (/.f64 r (cos.f64 a)) (.f64 (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) r) b)))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (fma.f64 -1/2 (.f64 a a) 1) (cos.f64 b)) (.f64 a (sin.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (.f64 b (-.f64 (.f64 (cos.f64 a) (.f64 -1/2 b)) (sin.f64 a)))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 (sin.f64 a) (+.f64 (neg.f64 b) (.f64 1/6 (pow.f64 b 3)))) (.f64 (+.f64 (.f64 -1/2 (.f64 b b)) 1) (cos.f64 a))))
(/.f64 (log.f64 (pow.f64 (exp.f64 r) (sin.f64 b))) (cos.f64 (+.f64 b a)))
(/.f64 (.f64 (pow.f64 (sin.f64 b) 2/3) (.f64 (cbrt.f64 (sin.f64 b)) r)) (cos.f64 (+.f64 b a)))
(/.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3)) 1/3) (cos.f64 (+.f64 b a)))
(pow.f64 (/.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) (pow.f64 (cos.f64 (+.f64 b a)) 3)) 1/3)
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 a)) b)) (cos.f64 (neg.f64 a))) (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2)))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (sin.f64 b) 2)) (.f64 (cbrt.f64 (sin.f64 b)) r)) (cos.f64 (+.f64 b a)))

Outputs
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))

Calls

4 calls:

114.0ms	r
110.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
110.0ms	b
107.0ms	a

Results

Error	Segments	Branch
0.4b	1	`r`
0.4b	1	`a`
0.4b	1	`b`
0.4b	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 1608 to 572 computations (64.4% saved)

regimes609.0ms (3.4%)

Counts

140 → 1

Calls

Call 1

Inputs
(*.f64 r b)
(/.f64 b (/.f64 1 r))
(*.f64 (/.f64 r 1) (tan.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) 1)
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 (*.f64 b r) (cos.f64 a))
(neg.f64 (*.f64 r (/.f64 b (cos.f64 a))))
(neg.f64 (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 r (/.f64 1 (/.f64 1 (tan.f64 b))))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(.f64 (.f64 (/.f64 1 (cos.f64 a)) r) b)
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(.f64 r (+.f64 b (.f64 1/3 (pow.f64 b 3))))
(*.f64 (/.f64 1 (cos.f64 a)) (/.f64 b (/.f64 1 r)))
(-.f64 (+.f64 1 (*.f64 b (/.f64 r (cos.f64 a)))) 1)
(*.f64 (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1) b)
(/.f64 b (fma.f64 -1/2 (*.f64 (/.f64 a r) a) (/.f64 1 r)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 1))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (log.f64 1) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(pow.f64 (/.f64 (/.f64 1 (tan.f64 b)) r) -1)
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)))
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)))
(neg.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))))
(.f64 (/.f64 1 (cos.f64 b)) (.f64 r (sin.f64 b)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(neg.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r))
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))
(-.f64 (+.f64 1 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) 1)
(+.f64 0 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(.f64 r (.f64 (sin.f64 b) (/.f64 1 (cos.f64 (+.f64 b a)))))
(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))
(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))
(.f64 r (.f64 (sin.f64 b) (/.f64 1 (cos.f64 (+.f64 b a)))))
(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(neg.f64 (/.f64 (sin.f64 b) (*.f64 (/.f64 1 r) (cos.f64 (+.f64 b a)))))
(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (-.f64 (+.f64 1 (*.f64 (sin.f64 b) r)) 1) (cos.f64 (+.f64 b a)))
(/.f64 (.f64 1/3 (.f64 3 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(/.f64 (.f64 3 (.f64 1/3 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b)) (cos.f64 a))
(/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b)) (cos.f64 (+.f64 b a)))
(exp.f64 (log.f64 (*.f64 (/.f64 r 1) (tan.f64 b))))
(/.f64 b (expm1.f64 (log1p.f64 (/.f64 (cos.f64 a) r))))
(*.f64 (exp.f64 (log.f64 (/.f64 r (cos.f64 a)))) b)
(/.f64 b (pow.f64 (cbrt.f64 (/.f64 (cos.f64 a) r)) 3))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r 1) (tan.f64 b))) 3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 a)) b)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 r 1) (tan.f64 b)) 3) 1/3)
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -1)
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a))))
(/.f64 (log.f64 (+.f64 1 (*.f64 (sin.f64 b) r))) (cos.f64 (+.f64 b a)))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (.f64 a (sin.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 (sin.f64 a) b)))
(/.f64 (.f64 r (sin.f64 b)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 b))))))
(/.f64 (.f64 r (sin.f64 b)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 (+.f64 b a)))))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 b b)) 1) (cos.f64 a)) (*.f64 b (sin.f64 a))))
(log.f64 (exp.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))))
(exp.f64 (log.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))))
(.f64 (sqrt.f64 (pow.f64 (cos.f64 b) -2)) (.f64 r (sin.f64 b)))
(exp.f64 (-.f64 (*.f64 (log.f64 r) 1) (neg.f64 (log.f64 (tan.f64 b)))))
(pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 r 1) (tan.f64 b))))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) 3)
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 b)) 3))
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 b) 2)))
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 a) 2)))
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 b)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))) 1)
(pow.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) 3) 1/3)
(/.f64 (expm1.f64 (log1p.f64 (*.f64 (sin.f64 b) r))) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 b))) 1))
(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(/.f64 (expm1.f64 (log1p.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(exp.f64 (log.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))))
(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(/.f64 (expm1.f64 (log1p.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(exp.f64 (log.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a)))))
(log.f64 (exp.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))
(.f64 (/.f64 1 (cos.f64 b)) (cbrt.f64 (pow.f64 (.f64 r (sin.f64 b)) 3)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cos.f64 b))) 3) (.f64 r (sin.f64 b)))
(neg.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))))))
(neg.f64 (/.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))
(neg.f64 (/.f64 (sin.f64 b) (expm1.f64 (log1p.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 3) (cos.f64 (+.f64 b a)))
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 b a)))) r)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))) 3)
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -2))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2)) (cos.f64 (+.f64 b a)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (+.f64 b a)))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 3)
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))
(neg.f64 (/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 3)))
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3) r)))
(/.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) 3) 1/3) (cos.f64 (+.f64 b a)))
(log.f64 (/.f64 1 (exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))))
(/.f64 (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) 1/3) (cos.f64 (+.f64 b a)))
(/.f64 (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) 1/3) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 b a)))) 1))
(/.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 r (sin.f64 b)))) 1) (cos.f64 (+.f64 b a)))
(pow.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 3) 1/3)
(neg.f64 (/.f64 (sin.f64 b) (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 3) 1/3)))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2)))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2)))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 (-.f64 b a)) (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2)))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 (-.f64 b a)) (.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) 2)))
(.f64 b (+.f64 (/.f64 r (cos.f64 a)) (.f64 (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) r) b)))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (fma.f64 -1/2 (.f64 a a) 1) (cos.f64 b)) (.f64 a (sin.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (.f64 b (-.f64 (.f64 (cos.f64 a) (.f64 -1/2 b)) (sin.f64 a)))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 (sin.f64 a) (+.f64 (neg.f64 b) (.f64 1/6 (pow.f64 b 3)))) (.f64 (+.f64 (.f64 -1/2 (.f64 b b)) 1) (cos.f64 a))))
(/.f64 (log.f64 (pow.f64 (exp.f64 r) (sin.f64 b))) (cos.f64 (+.f64 b a)))
(/.f64 (.f64 (pow.f64 (sin.f64 b) 2/3) (.f64 (cbrt.f64 (sin.f64 b)) r)) (cos.f64 (+.f64 b a)))
(/.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3)) 1/3) (cos.f64 (+.f64 b a)))
(pow.f64 (/.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) (pow.f64 (cos.f64 (+.f64 b a)) 3)) 1/3)
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)

Outputs
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)

Calls

4 calls:

163.0ms	a
154.0ms	b
124.0ms	r
124.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))

Results

Error	Segments	Branch
0.4b	1	`r`
0.4b	1	`a`
0.4b	1	`b`
0.4b	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 1536 to 551 computations (64.1% saved)

regimes665.0ms (3.7%)

Counts

139 → 1

Calls

Call 1

Inputs
(*.f64 r b)
(/.f64 b (/.f64 1 r))
(*.f64 (/.f64 r 1) (tan.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) 1)
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 (*.f64 b r) (cos.f64 a))
(neg.f64 (*.f64 r (/.f64 b (cos.f64 a))))
(neg.f64 (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 r (/.f64 1 (/.f64 1 (tan.f64 b))))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(.f64 (.f64 (/.f64 1 (cos.f64 a)) r) b)
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(.f64 r (+.f64 b (.f64 1/3 (pow.f64 b 3))))
(*.f64 (/.f64 1 (cos.f64 a)) (/.f64 b (/.f64 1 r)))
(-.f64 (+.f64 1 (*.f64 b (/.f64 r (cos.f64 a)))) 1)
(*.f64 (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1) b)
(/.f64 b (fma.f64 -1/2 (*.f64 (/.f64 a r) a) (/.f64 1 r)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 1))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (log.f64 1) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(pow.f64 (/.f64 (/.f64 1 (tan.f64 b)) r) -1)
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)))
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)))
(neg.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))))
(.f64 (/.f64 1 (cos.f64 b)) (.f64 r (sin.f64 b)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(neg.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r))
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))
(-.f64 (+.f64 1 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) 1)
(+.f64 0 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(.f64 r (.f64 (sin.f64 b) (/.f64 1 (cos.f64 (+.f64 b a)))))
(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))
(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))
(.f64 r (.f64 (sin.f64 b) (/.f64 1 (cos.f64 (+.f64 b a)))))
(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(neg.f64 (/.f64 (sin.f64 b) (*.f64 (/.f64 1 r) (cos.f64 (+.f64 b a)))))
(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (-.f64 (+.f64 1 (*.f64 (sin.f64 b) r)) 1) (cos.f64 (+.f64 b a)))
(/.f64 (.f64 1/3 (.f64 3 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(/.f64 (.f64 3 (.f64 1/3 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b)) (cos.f64 a))
(/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b)) (cos.f64 (+.f64 b a)))
(exp.f64 (log.f64 (*.f64 (/.f64 r 1) (tan.f64 b))))
(/.f64 b (expm1.f64 (log1p.f64 (/.f64 (cos.f64 a) r))))
(*.f64 (exp.f64 (log.f64 (/.f64 r (cos.f64 a)))) b)
(/.f64 b (pow.f64 (cbrt.f64 (/.f64 (cos.f64 a) r)) 3))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r 1) (tan.f64 b))) 3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 a)) b)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 r 1) (tan.f64 b)) 3) 1/3)
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -1)
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a))))
(/.f64 (log.f64 (+.f64 1 (*.f64 (sin.f64 b) r))) (cos.f64 (+.f64 b a)))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (.f64 a (sin.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 (sin.f64 a) b)))
(/.f64 (.f64 r (sin.f64 b)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 b))))))
(/.f64 (.f64 r (sin.f64 b)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 (+.f64 b a)))))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 b b)) 1) (cos.f64 a)) (*.f64 b (sin.f64 a))))
(log.f64 (exp.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))))
(exp.f64 (log.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))))
(.f64 (sqrt.f64 (pow.f64 (cos.f64 b) -2)) (.f64 r (sin.f64 b)))
(exp.f64 (-.f64 (*.f64 (log.f64 r) 1) (neg.f64 (log.f64 (tan.f64 b)))))
(pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 r 1) (tan.f64 b))))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) 3)
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 b)) 3))
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 b) 2)))
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 a) 2)))
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 b)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))) 1)
(pow.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) 3) 1/3)
(/.f64 (expm1.f64 (log1p.f64 (*.f64 (sin.f64 b) r))) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 b))) 1))
(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(/.f64 (expm1.f64 (log1p.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(exp.f64 (log.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))))
(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(/.f64 (expm1.f64 (log1p.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(exp.f64 (log.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a)))))
(log.f64 (exp.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))
(.f64 (/.f64 1 (cos.f64 b)) (cbrt.f64 (pow.f64 (.f64 r (sin.f64 b)) 3)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cos.f64 b))) 3) (.f64 r (sin.f64 b)))
(neg.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))))))
(neg.f64 (/.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))
(neg.f64 (/.f64 (sin.f64 b) (expm1.f64 (log1p.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 3) (cos.f64 (+.f64 b a)))
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 b a)))) r)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))) 3)
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -2))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2)) (cos.f64 (+.f64 b a)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (+.f64 b a)))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 3)
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))
(neg.f64 (/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 3)))
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3) r)))
(/.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) 3) 1/3) (cos.f64 (+.f64 b a)))
(log.f64 (/.f64 1 (exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))))
(/.f64 (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) 1/3) (cos.f64 (+.f64 b a)))
(/.f64 (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) 1/3) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 b a)))) 1))
(/.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 r (sin.f64 b)))) 1) (cos.f64 (+.f64 b a)))
(pow.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 3) 1/3)
(neg.f64 (/.f64 (sin.f64 b) (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 3) 1/3)))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2)))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2)))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 (-.f64 b a)) (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2)))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 (-.f64 b a)) (.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) 2)))
(.f64 b (+.f64 (/.f64 r (cos.f64 a)) (.f64 (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) r) b)))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (fma.f64 -1/2 (.f64 a a) 1) (cos.f64 b)) (.f64 a (sin.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (.f64 b (-.f64 (.f64 (cos.f64 a) (.f64 -1/2 b)) (sin.f64 a)))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 (sin.f64 a) (+.f64 (neg.f64 b) (.f64 1/6 (pow.f64 b 3)))) (.f64 (+.f64 (.f64 -1/2 (.f64 b b)) 1) (cos.f64 a))))
(/.f64 (log.f64 (pow.f64 (exp.f64 r) (sin.f64 b))) (cos.f64 (+.f64 b a)))
(/.f64 (.f64 (pow.f64 (sin.f64 b) 2/3) (.f64 (cbrt.f64 (sin.f64 b)) r)) (cos.f64 (+.f64 b a)))
(/.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3)) 1/3) (cos.f64 (+.f64 b a)))
(pow.f64 (/.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) (pow.f64 (cos.f64 (+.f64 b a)) 3)) 1/3)

Outputs
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 (-.f64 b a)) (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2)))

Calls

4 calls:

179.0ms	r
150.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
140.0ms	b
115.0ms	a

Results

Error	Segments	Branch
13.2b	1	`r`
13.2b	1	`a`
13.2b	1	`b`
13.2b	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 1520 to 547 computations (64% saved)

regimes614.0ms (3.4%)

Counts

129 → 1

Calls

Call 1

Inputs
(*.f64 r b)
(/.f64 b (/.f64 1 r))
(*.f64 (/.f64 r 1) (tan.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) 1)
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 (*.f64 b r) (cos.f64 a))
(neg.f64 (*.f64 r (/.f64 b (cos.f64 a))))
(neg.f64 (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 r (/.f64 1 (/.f64 1 (tan.f64 b))))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(.f64 (.f64 (/.f64 1 (cos.f64 a)) r) b)
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(.f64 r (+.f64 b (.f64 1/3 (pow.f64 b 3))))
(*.f64 (/.f64 1 (cos.f64 a)) (/.f64 b (/.f64 1 r)))
(-.f64 (+.f64 1 (*.f64 b (/.f64 r (cos.f64 a)))) 1)
(*.f64 (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1) b)
(/.f64 b (fma.f64 -1/2 (*.f64 (/.f64 a r) a) (/.f64 1 r)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 1))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (log.f64 1) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(pow.f64 (/.f64 (/.f64 1 (tan.f64 b)) r) -1)
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)))
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)))
(neg.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))))
(.f64 (/.f64 1 (cos.f64 b)) (.f64 r (sin.f64 b)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(neg.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r))
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))
(-.f64 (+.f64 1 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) 1)
(+.f64 0 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(.f64 r (.f64 (sin.f64 b) (/.f64 1 (cos.f64 (+.f64 b a)))))
(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))
(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))
(.f64 r (.f64 (sin.f64 b) (/.f64 1 (cos.f64 (+.f64 b a)))))
(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(neg.f64 (/.f64 (sin.f64 b) (*.f64 (/.f64 1 r) (cos.f64 (+.f64 b a)))))
(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (-.f64 (+.f64 1 (*.f64 (sin.f64 b) r)) 1) (cos.f64 (+.f64 b a)))
(/.f64 (.f64 1/3 (.f64 3 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(/.f64 (.f64 3 (.f64 1/3 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b)) (cos.f64 a))
(/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b)) (cos.f64 (+.f64 b a)))
(exp.f64 (log.f64 (*.f64 (/.f64 r 1) (tan.f64 b))))
(/.f64 b (expm1.f64 (log1p.f64 (/.f64 (cos.f64 a) r))))
(*.f64 (exp.f64 (log.f64 (/.f64 r (cos.f64 a)))) b)
(/.f64 b (pow.f64 (cbrt.f64 (/.f64 (cos.f64 a) r)) 3))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r 1) (tan.f64 b))) 3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 a)) b)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 r 1) (tan.f64 b)) 3) 1/3)
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -1)
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a))))
(/.f64 (log.f64 (+.f64 1 (*.f64 (sin.f64 b) r))) (cos.f64 (+.f64 b a)))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (.f64 a (sin.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 (sin.f64 a) b)))
(/.f64 (.f64 r (sin.f64 b)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 b))))))
(/.f64 (.f64 r (sin.f64 b)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (*.f64 2 (+.f64 b a)))))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 b b)) 1) (cos.f64 a)) (*.f64 b (sin.f64 a))))
(log.f64 (exp.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))))
(exp.f64 (log.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))))
(.f64 (sqrt.f64 (pow.f64 (cos.f64 b) -2)) (.f64 r (sin.f64 b)))
(exp.f64 (-.f64 (*.f64 (log.f64 r) 1) (neg.f64 (log.f64 (tan.f64 b)))))
(pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 r 1) (tan.f64 b))))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) 3)
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 b)) 3))
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 b) 2)))
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 a) 2)))
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 b)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))) 1)
(pow.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) 3) 1/3)
(/.f64 (expm1.f64 (log1p.f64 (*.f64 (sin.f64 b) r))) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 b))) 1))
(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(/.f64 (expm1.f64 (log1p.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(exp.f64 (log.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))))
(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(/.f64 (expm1.f64 (log1p.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(exp.f64 (log.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a)))))
(log.f64 (exp.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))
(.f64 (/.f64 1 (cos.f64 b)) (cbrt.f64 (pow.f64 (.f64 r (sin.f64 b)) 3)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cos.f64 b))) 3) (.f64 r (sin.f64 b)))
(neg.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))))))
(neg.f64 (/.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))
(neg.f64 (/.f64 (sin.f64 b) (expm1.f64 (log1p.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 3) (cos.f64 (+.f64 b a)))
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 b a)))) r)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))) 3)
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -2))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2)) (cos.f64 (+.f64 b a)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (+.f64 b a)))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 3)
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))
(neg.f64 (/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 3)))
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3) r)))
(/.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) 3) 1/3) (cos.f64 (+.f64 b a)))
(log.f64 (/.f64 1 (exp.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))))
(/.f64 (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) 1/3) (cos.f64 (+.f64 b a)))
(/.f64 (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) 1/3) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 b a)))) 1))
(/.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 r (sin.f64 b)))) 1) (cos.f64 (+.f64 b a)))
(pow.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 3) 1/3)
(neg.f64 (/.f64 (sin.f64 b) (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 3) 1/3)))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2)))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2)))

Outputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))

Calls

4 calls:

185.0ms	b
146.0ms	r
145.0ms	a
94.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))

Results

Error	Segments	Branch
13.6b	1	`r`
13.6b	1	`a`
13.6b	1	`b`
13.6b	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 1346 to 476 computations (64.6% saved)

regimes160.0ms (0.9%)

Counts

43 → 1

Calls

Call 1

Inputs
(*.f64 r b)
(/.f64 b (/.f64 1 r))
(*.f64 (/.f64 r 1) (tan.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) 1)
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 (*.f64 b r) (cos.f64 a))
(neg.f64 (*.f64 r (/.f64 b (cos.f64 a))))
(neg.f64 (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 r (/.f64 1 (/.f64 1 (tan.f64 b))))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(.f64 (.f64 (/.f64 1 (cos.f64 a)) r) b)
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(.f64 r (+.f64 b (.f64 1/3 (pow.f64 b 3))))
(*.f64 (/.f64 1 (cos.f64 a)) (/.f64 b (/.f64 1 r)))
(-.f64 (+.f64 1 (*.f64 b (/.f64 r (cos.f64 a)))) 1)
(*.f64 (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1) b)
(/.f64 b (fma.f64 -1/2 (*.f64 (/.f64 a r) a) (/.f64 1 r)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 1))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (log.f64 1) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(pow.f64 (/.f64 (/.f64 1 (tan.f64 b)) r) -1)
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)))
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)))
(neg.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))))
(.f64 (/.f64 1 (cos.f64 b)) (.f64 r (sin.f64 b)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)

Outputs
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))

Calls

3 calls:

49.0ms	r
48.0ms	a
41.0ms	b

Results

Error	Segments	Branch
13.6b	1	`r`
13.6b	1	`a`
13.6b	1	`b`

Compiler

Compiled 338 to 120 computations (64.5% saved)

regimes199.0ms (1.1%)

Counts

39 → 3

Calls

Call 1

Inputs
(*.f64 r b)
(/.f64 b (/.f64 1 r))
(*.f64 (/.f64 r 1) (tan.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) 1)
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 (*.f64 b r) (cos.f64 a))
(neg.f64 (*.f64 r (/.f64 b (cos.f64 a))))
(neg.f64 (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 r (/.f64 1 (/.f64 1 (tan.f64 b))))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(.f64 (.f64 (/.f64 1 (cos.f64 a)) r) b)
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(.f64 r (+.f64 b (.f64 1/3 (pow.f64 b 3))))
(*.f64 (/.f64 1 (cos.f64 a)) (/.f64 b (/.f64 1 r)))
(-.f64 (+.f64 1 (*.f64 b (/.f64 r (cos.f64 a)))) 1)
(*.f64 (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1) b)
(/.f64 b (fma.f64 -1/2 (*.f64 (/.f64 a r) a) (/.f64 1 r)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 1))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (log.f64 1) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(pow.f64 (/.f64 (/.f64 1 (tan.f64 b)) r) -1)
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r)))
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)))
(neg.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))))
(.f64 (/.f64 1 (cos.f64 b)) (.f64 r (sin.f64 b)))

Outputs
(*.f64 (/.f64 r 1) (tan.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))
(*.f64 (/.f64 r 1) (tan.f64 b))

Calls

3 calls:

62.0ms	b
60.0ms	a
60.0ms	r

Results

Error	Segments	Branch
22.7b	3	`r`
13.8b	3	`a`
13.5b	3	`b`

Compiler

Compiled 302 to 112 computations (62.9% saved)

bsearch141.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
72.0ms	2.8539410174957196e+26	1.5645511078058922e+33
69.0ms	-126.89622588844362	-0.010570839554691222

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes98.0ms (0.5%)

Counts

22 → 3

Calls

Call 1

Inputs
(*.f64 r b)
(/.f64 b (/.f64 1 r))
(*.f64 (/.f64 r 1) (tan.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) 1)
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 (*.f64 b r) (cos.f64 a))
(neg.f64 (*.f64 r (/.f64 b (cos.f64 a))))
(neg.f64 (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 r (/.f64 1 (/.f64 1 (tan.f64 b))))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(.f64 (.f64 (/.f64 1 (cos.f64 a)) r) b)
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(.f64 r (+.f64 b (.f64 1/3 (pow.f64 b 3))))
(*.f64 (/.f64 1 (cos.f64 a)) (/.f64 b (/.f64 1 r)))
(-.f64 (+.f64 1 (*.f64 b (/.f64 r (cos.f64 a)))) 1)
(*.f64 (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1) b)
(/.f64 b (fma.f64 -1/2 (*.f64 (/.f64 a r) a) (/.f64 1 r)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))

Outputs
(*.f64 (/.f64 r 1) (tan.f64 b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 (/.f64 r 1) (tan.f64 b))

Calls

3 calls:

32.0ms	b
31.0ms	a
30.0ms	r

Results

Error	Segments	Branch
24.1b	2	`r`
14.7b	3	`a`
13.6b	3	`b`

Compiler

Compiled 177 to 85 computations (52% saved)

bsearch133.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
64.0ms	5.3465084723879826e-15	4.4517140788178536e-7
69.0ms	-126.89622588844362	-0.010570839554691222

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes45.0ms (0.2%)

Counts

7 → 3

Calls

Call 1

Inputs
(*.f64 r b)
(/.f64 b (/.f64 1 r))
(*.f64 (/.f64 r 1) (tan.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) 1)
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 (*.f64 r b) (cos.f64 a))

Outputs
(*.f64 (/.f64 r 1) (tan.f64 b))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 (/.f64 r 1) (tan.f64 b))

Calls

3 calls:

15.0ms	b
14.0ms	a
14.0ms	r

Results

Error	Segments	Branch
24.1b	2	`r`
14.7b	3	`a`
13.6b	3	`b`

Compiler

Compiled 53 to 30 computations (43.4% saved)

bsearch136.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
68.0ms	5.3465084723879826e-15	4.4517140788178536e-7
68.0ms	-126.89622588844362	-0.010570839554691222

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes52.0ms (0.3%)

Counts

6 → 3

Calls

Call 1

Inputs
(*.f64 r b)
(/.f64 b (/.f64 1 r))
(*.f64 (/.f64 r 1) (tan.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) 1)
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 (cos.f64 a) b))

Outputs
(*.f64 (/.f64 r 1) (tan.f64 b))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 r 1) (tan.f64 b))

Calls

3 calls:

22.0ms	b
14.0ms	a
14.0ms	r

Results

Error	Segments	Branch
24.1b	2	`r`
14.7b	3	`a`
13.6b	3	`b`

Compiler

Compiled 47 to 29 computations (38.3% saved)

bsearch136.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
66.0ms	5.3465084723879826e-15	4.4517140788178536e-7
69.0ms	-126.89622588844362	-0.010570839554691222

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes15.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

Inputs
(*.f64 r b)
(/.f64 b (/.f64 1 r))
(*.f64 (/.f64 r 1) (tan.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) 1)

Outputs
(*.f64 (/.f64 r 1) (tan.f64 b))

Calls

3 calls:

6.0ms	a
4.0ms	r
4.0ms	b

Results

Error	Segments	Branch
25.2b	1	`r`
25.2b	1	`a`
25.2b	1	`b`

Compiler

Compiled 35 to 24 computations (31.4% saved)

regimes12.0ms (0.1%)

Accuracy

Total -0.1b remaining (-0.1%)

Threshold costs -0.1b (-0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 r b)
(/.f64 b (/.f64 1 r))

Outputs
(*.f64 r b)

Calls

3 calls:

5.0ms	b
3.0ms	a
3.0ms	r

Results

Error	Segments	Branch
41.0b	1	`r`
41.0b	1	`a`
41.0b	1	`b`

Compiler

Compiled 23 to 16 computations (30.4% saved)

simplify51.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

108×	`distribute-rgt-neg-in_binary64`
86×	`cancel-sign-sub-inv_binary64`
72×	`distribute-lft-neg-out_binary64`
66×	`distribute-lft-neg-in_binary64`
63×	`neg-sub0_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	65	328
1	99	324
2	128	324
3	164	324
4	193	324
5	231	324
6	286	324
7	358	324
8	443	324
9	550	324
10	613	324
11	656	324
12	707	324
13	763	324
14	787	324
15	794	324
16	804	324
17	808	324

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (.f64 (sin.f64 b) (sin.f64 a)) -1))) (fma.f64 (.f64 (sin.f64 b) (sin.f64 a)) -1 (.f64 (.f64 (sin.f64 b) (sin.f64 a)) -1))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 (-.f64 b a)) (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(if (<=.f64 b -8929528056654953/70368744177664) (.f64 (/.f64 r 1) (tan.f64 b)) (if (<=.f64 b 285394101749571960753356800) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 a)) (*.f64 (/.f64 r 1) (tan.f64 b))))
(if (<=.f64 b -8929528056654953/70368744177664) (.f64 (/.f64 r 1) (tan.f64 b)) (if (<=.f64 b 1694376168536985/316912650057057350374175801344) (.f64 (/.f64 r (cos.f64 a)) b) (*.f64 (/.f64 r 1) (tan.f64 b))))
(if (<=.f64 b -8929528056654953/70368744177664) (.f64 (/.f64 r 1) (tan.f64 b)) (if (<=.f64 b 1694376168536985/316912650057057350374175801344) (/.f64 (.f64 r b) (cos.f64 a)) (*.f64 (/.f64 r 1) (tan.f64 b))))
(if (<=.f64 b -8929528056654953/70368744177664) (.f64 (/.f64 r 1) (tan.f64 b)) (if (<=.f64 b 1694376168536985/316912650057057350374175801344) (/.f64 b (/.f64 (cos.f64 a) r)) (.f64 (/.f64 r 1) (tan.f64 b))))
(*.f64 (/.f64 r 1) (tan.f64 b))
(*.f64 r b)

Outputs
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (.f64 (sin.f64 b) (sin.f64 a)) -1))) (fma.f64 (.f64 (sin.f64 b) (sin.f64 a)) -1 (.f64 (.f64 (sin.f64 b) (sin.f64 a)) -1))))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (.f64 (sin.f64 b) (sin.f64 a)) 1)) (fma.f64 (.f64 (sin.f64 b) (sin.f64 a)) -1 (.f64 (.f64 (sin.f64 b) (sin.f64 a)) -1))))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 b) (sin.f64 a))) (fma.f64 (.f64 (sin.f64 b) (sin.f64 a)) -1 (.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(.f64 (sin.f64 b) (/.f64 r (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 (-.f64 b a)) (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2)))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 (-.f64 b a)) (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -2)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(if (<=.f64 b -8929528056654953/70368744177664) (.f64 (/.f64 r 1) (tan.f64 b)) (if (<=.f64 b 285394101749571960753356800) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 a)) (*.f64 (/.f64 r 1) (tan.f64 b))))
(if (<=.f64 b -8929528056654953/70368744177664) (.f64 r (tan.f64 b)) (if (<=.f64 b 285394101749571960753356800) (/.f64 (.f64 r (sin.f64 b)) (cos.f64 a)) (*.f64 r (tan.f64 b))))
(if (<=.f64 b -8929528056654953/70368744177664) (.f64 (/.f64 r 1) (tan.f64 b)) (if (<=.f64 b 1694376168536985/316912650057057350374175801344) (.f64 (/.f64 r (cos.f64 a)) b) (*.f64 (/.f64 r 1) (tan.f64 b))))
(if (<=.f64 b -8929528056654953/70368744177664) (.f64 r (tan.f64 b)) (if (<=.f64 b 1694376168536985/316912650057057350374175801344) (.f64 b (/.f64 r (cos.f64 a))) (*.f64 r (tan.f64 b))))
(if (<=.f64 b -8929528056654953/70368744177664) (.f64 (/.f64 r 1) (tan.f64 b)) (if (<=.f64 b 1694376168536985/316912650057057350374175801344) (/.f64 (.f64 r b) (cos.f64 a)) (*.f64 (/.f64 r 1) (tan.f64 b))))
(if (<=.f64 b -8929528056654953/70368744177664) (.f64 r (tan.f64 b)) (if (<=.f64 b 1694376168536985/316912650057057350374175801344) (/.f64 (.f64 r b) (cos.f64 a)) (*.f64 r (tan.f64 b))))
(if (<=.f64 b -8929528056654953/70368744177664) (.f64 (/.f64 r 1) (tan.f64 b)) (if (<=.f64 b 1694376168536985/316912650057057350374175801344) (/.f64 b (/.f64 (cos.f64 a) r)) (.f64 (/.f64 r 1) (tan.f64 b))))
(if (<=.f64 b -8929528056654953/70368744177664) (.f64 r (tan.f64 b)) (if (<=.f64 b 1694376168536985/316912650057057350374175801344) (/.f64 b (/.f64 (cos.f64 a) r)) (.f64 r (tan.f64 b))))
(*.f64 (/.f64 r 1) (tan.f64 b))
(*.f64 r (tan.f64 b))
(*.f64 r b)

Compiler

Compiled 247 to 147 computations (40.5% saved)

soundness8.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	13	14
2	17	14
3	20	14
4	21	14

Stop Event

1×

saturated

Compiler

Compiled 24 to 16 computations (33.3% saved)

end160.0ms (0.9%)

Compiler: Compiled 211 to 68 computations (67.8% saved)

Iter	Nodes	Cost
0	65	328
1	99	324
2	128	324
3	164	324
4	193	324
5	231	324
6	286	324
7	358	324
8	443	324
9	550	324
10	613	324
11	656	324
12	707	324
13	763	324
14	787	324
15	794	324
16	804	324
17	808	324

Iter	Nodes	Cost
0	65	328
1	99	324
2	128	324
3	164	324
4	193	324
5	231	324
6	286	324
7	358	324
8	443	324
9	550	324
10	613	324
11	656	324
12	707	324
13	763	324
14	787	324
15	794	324
16	804	324
17	808	324

Iter	Nodes	Cost
0	65	328
1	99	324
2	128	324
3	164	324
4	193	324
5	231	324
6	286	324
7	358	324
8	443	324
9	550	324
10	613	324
11	656	324
12	707	324
13	763	324
14	787	324
15	794	324
16	804	324
17	808	324