Details

analyze1.9s (19.7%)

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
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
0%	99.9%	0.1%	9
0%	99.9%	0.1%	10
1.6%	98.3%	0.1%	11
1.6%	98.3%	0.1%	12
2.3%	97.5%	0.1%	13
3.5%	96.3%	0.1%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample4.1s (41.6%)

Results

2.6s	3628×	body	1024	valid
587.0ms	1399×	body	512	valid
419.0ms	2405×	body	128	valid
282.0ms	201×	body	2048	valid
188.0ms	623×	body	256	valid
5.0ms	1×	body	8192	exit
0.0ms	1×	body	256	invalid

Compiler

Compiled 25 to 17 computations (32% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	13	14
2	17	14
3	20	14
4	21	14
5	21	14

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

14.6b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	14.6b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))

Compiler

Compiled 45 to 27 computations (40% saved)

localize7.0ms (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 a b)))
✓	2.6b	(cos.f64 (+.f64 a b))

series68.0ms (0.7%)

Counts

3 → 68

Calls

3 calls:

56.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
7.0ms	(*.f64 r (sin.f64 b))
4.0ms	(cos.f64 (+.f64 a b))

rewrite12.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-cbrt-cube_binary64`
10×	`add-exp-log_binary64`
9×	`add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64`
7×	`add-cube-cbrt_binary64`

Counts

3 → 53

Calls

3 calls:

4.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
3.0ms	(*.f64 r (sin.f64 b))
3.0ms	(cos.f64 (+.f64 a b))

simplify66.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

558×	`fma-def_binary64`
517×	`associate-/r*_binary64`
394×	`associate-*l/_binary64`
321×	`associate-/l/_binary64`
308×	`associate-/r/_binary64`

Counts

121 → 124

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	200	2011
1	525	1879
2	2003	1831
3	5044	1831

prune149.0ms (1.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	112	12	124
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	113	12	125

Error

0.2b

Counts

125 → 12

Alt Table

Status	Error	Program
	36.0b	(.f64 (sqrt.f64 (/.f64 (.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))) (sqrt.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))))
	32.0b	(fma.f64 1/2 (.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (.f64 a a)) (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (fma.f64 5/6 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 (pow.f64 a 3) 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) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (.f64 a (.f64 a r)) (/.f64 (.f64 (.f64 (pow.f64 a 3) r) (pow.f64 (sin.f64 b) 4)) (pow.f64 (cos.f64 b) 4)))))))
	14.7b	(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
	32.3b	(+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 b) (.f64 (pow.f64 a 2) r)) (cos.f64 b))) (+.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (+.f64 (.f64 5/6 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 (pow.f64 a 3) r)) (pow.f64 (cos.f64 b) 2))) (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) (.f64 (pow.f64 a 2) r)) (pow.f64 (cos.f64 b) 3)) (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (.f64 (pow.f64 (sin.f64 b) 4) (*.f64 (pow.f64 a 3) r)) (pow.f64 (cos.f64 b) 4)))))))
	31.9b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (fma.f64 1/6 (.f64 (sin.f64 a) (pow.f64 b 3)) (cos.f64 a)) (.f64 b (+.f64 (sin.f64 a) (.f64 (*.f64 1/2 (cos.f64 a)) b)))))
	14.7b	(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (cos.f64 (+.f64 a b))))
▶	0.3b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
	15.0b	(/.f64 1 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))))
	15.1b	(/.f64 (.f64 r (sin.f64 b)) (.f64 (*.f64 (cbrt.f64 (cos.f64 (+.f64 a b))) (cbrt.f64 (cos.f64 (+.f64 a b)))) (cbrt.f64 (cos.f64 (+.f64 a b)))))
	14.8b	(/.f64 (.f64 r (sin.f64 b)) (cbrt.f64 (.f64 (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b))) (cos.f64 (+.f64 a b)))))
	14.7b	(/.f64 (*.f64 r (sin.f64 b)) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 a b)))))
	14.8b	(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (exp.f64 (cos.f64 (+.f64 a b)))))

Compiler

Compiled 2993 to 1144 computations (61.8% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 r (sin.f64 b))
✓	0.1b	(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))
✓	0.2b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
✓	0.3b	(*.f64 (sin.f64 a) (sin.f64 b))

series147.0ms (1.5%)

Counts

3 → 64

Calls

3 calls:

120.0ms

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

17.0ms

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

11.0ms

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

rewrite40.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-cbrt-cube_binary64`
10×	`add-exp-log_binary64`
9×	`add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64`
7×	`add-cube-cbrt_binary64`

Counts

3 → 66

Calls

3 calls:

27.0ms

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

5.0ms

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

4.0ms

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

simplify134.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

824×	`fma-def_binary64`
381×	`fma-neg_binary64`
329×	`cancel-sign-sub-inv_binary64`
204×	`associate-r_binary64`
204×	`distribute-rgt-neg-in_binary64`

Counts

130 → 156

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	252	3500
1	692	3279
2	2584	3054
3	4578	3049
4	4996	3049
5	4923	3049

prune259.0ms (2.6%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	181	13	194
Fresh	10	1	11
Picked	1	0	1
Done	0	0	0
Total	192	14	206

Error

0.0b

Counts

206 → 14

Alt Table

Status	Error	Program
	1.2b	(/.f64 (.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) (cbrt.f64 (.f64 (sin.f64 b) r))) (cbrt.f64 (.f64 (sin.f64 b) r))) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
	0.4b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (.f64 (sin.f64 a) (*.f64 (cbrt.f64 (sin.f64 b)) (cbrt.f64 (sin.f64 b)))) (cbrt.f64 (sin.f64 b)))))
	1.0b	(/.f64 (.f64 r (sin.f64 b)) (.f64 (.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))) (cbrt.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))) (cbrt.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))
	28.5b	(.f64 (/.f64 r (sqrt.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))) (/.f64 (sin.f64 b) (sqrt.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))
	0.6b	(/.f64 (.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) 3)))
	0.4b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (cbrt.f64 (.f64 (.f64 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (sin.f64 a) (sin.f64 b))))))
	32.0b	(fma.f64 1/2 (.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (.f64 a a)) (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (fma.f64 5/6 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 (pow.f64 a 3) 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) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (.f64 a (.f64 a r)) (/.f64 (.f64 (.f64 (pow.f64 a 3) r) (pow.f64 (sin.f64 b) 4)) (pow.f64 (cos.f64 b) 4)))))))
	29.7b	(.f64 (sqrt.f64 (/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))) (sqrt.f64 (/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))
	1.2b	(.f64 (.f64 (cbrt.f64 (/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (sin.f64 a) 1)))) (cbrt.f64 (/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (sin.f64 a) 1))))) (cbrt.f64 (/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (sin.f64 a) 1)))))
	0.6b	(/.f64 (.f64 r (sin.f64 b)) (log.f64 (/.f64 (exp.f64 (.f64 (cos.f64 a) (cos.f64 b))) (exp.f64 (*.f64 (sin.f64 a) (sin.f64 b))))))
▶	0.3b	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (.f64 (sin.f64 a) (sin.f64 b)))))
	0.4b	(/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (sin.f64 a) 1)))
	0.4b	(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))))
	0.3b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))

Compiler

Compiled 5857 to 1698 computations (71% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 r (sin.f64 b))
✓	0.2b	(fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))))
✓	0.2b	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (.f64 (sin.f64 a) (sin.f64 b)))))
	0.3b	(*.f64 (sin.f64 a) (sin.f64 b))

series138.0ms (1.4%)

Counts

2 → 60

Calls

2 calls:

121.0ms	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (.f64 (sin.f64 a) (sin.f64 b)))))
16.0ms	(fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))))

rewrite6.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-cbrt-cube_binary64`
7×	`add-exp-log_binary64`
4×	`*-un-lft-identity_binary64`
4×	`add-sqr-sqrt_binary64`
4×	`add-cube-cbrt_binary64`

Counts

2 → 33

Calls

2 calls:

4.0ms	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (.f64 (sin.f64 a) (sin.f64 b)))))
0.0ms	(fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))))

simplify71.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

656×	`associate-l_binary64`
468×	`fma-def_binary64`
441×	`associate-/r*_binary64`
304×	`associate-*l/_binary64`
267×	`associate-/l/_binary64`

Counts

93 → 88

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	170	2771
1	451	2573
2	1650	2534
3	5210	2534

prune219.0ms (2.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	169	4	173
Fresh	5	8	13
Picked	1	0	1
Done	0	0	0
Total	175	12	187

Error

0.0b

Counts

187 → 12

Alt Table

Status	Error	Program
▶	0.3b	(/.f64 (.f64 r (sin.f64 b)) (expm1.f64 (log1p.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (.f64 (sin.f64 a) (sin.f64 b)))))))
	0.6b	(/.f64 (.f64 r (sin.f64 b)) (log.f64 (/.f64 (exp.f64 (.f64 (cos.f64 a) (cos.f64 b))) (exp.f64 (*.f64 (sin.f64 a) (sin.f64 b))))))
	29.4b	(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 r a)) (pow.f64 (cos.f64 b) 2)))
	1.0b	(/.f64 (.f64 r (sin.f64 b)) (.f64 (.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))) (cbrt.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))) (cbrt.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))
	28.5b	(.f64 (/.f64 r (sqrt.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))) (/.f64 (sin.f64 b) (sqrt.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))
	0.6b	(/.f64 (.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) 3)))
	29.7b	(.f64 (sqrt.f64 (/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))) (sqrt.f64 (/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))
	0.4b	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 a)) (cbrt.f64 (sin.f64 a))) (.f64 (sin.f64 b) (cbrt.f64 (sin.f64 a)))))))
	1.2b	(/.f64 (.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) (cbrt.f64 (.f64 (sin.f64 b) r))) (cbrt.f64 (.f64 (sin.f64 b) r))) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (.f64 (sin.f64 a) (sin.f64 b)))))
	0.4b	(/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (sin.f64 a) 1)))
	0.4b	(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))))
	0.3b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))

Compiler

Compiled 4934 to 1414 computations (71.3% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))))))
✓	0.2b	(/.f64 (.f64 r (sin.f64 b)) (expm1.f64 (log1p.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (.f64 (sin.f64 a) (sin.f64 b)))))))
	0.3b	(*.f64 (sin.f64 a) (sin.f64 b))
✓	0.6b	(log1p.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b)))))

series993.0ms (10.1%)

Counts

3 → 84

Calls

3 calls:

857.0ms

(log1p.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b)))))

118.0ms

(/.f64 (*.f64 r (sin.f64 b)) (expm1.f64 (log1p.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b)))))))

17.0ms

(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))))))

rewrite7.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-cbrt-cube_binary64`
8×	`add-exp-log_binary64`
5×	`*-un-lft-identity_binary64`
5×	`add-sqr-sqrt_binary64`
5×	`add-cube-cbrt_binary64`

Counts

3 → 45

Calls

3 calls:

4.0ms

(/.f64 (*.f64 r (sin.f64 b)) (expm1.f64 (log1p.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b)))))))

0.0ms

(log1p.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b)))))

0.0ms

(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))))))

simplify137.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

689×	`fma-def_binary64`
316×	`associate-/l/_binary64`
186×	`fma-neg_binary64`
177×	`associate-/l*_binary64`
166×	`cancel-sign-sub-inv_binary64`

Counts

129 → 128

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	244	3909
1	670	3609
2	2579	3498
3	4849	3497
4	5000	3497
5	4980	3497

prune218.0ms (2.2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	175	0	175
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	175	12	187

Error

0.0b

Counts

187 → 12

Alt Table

Status	Error	Program
✓	0.3b	(/.f64 (.f64 r (sin.f64 b)) (expm1.f64 (log1p.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (.f64 (sin.f64 a) (sin.f64 b)))))))
	0.6b	(/.f64 (.f64 r (sin.f64 b)) (log.f64 (/.f64 (exp.f64 (.f64 (cos.f64 a) (cos.f64 b))) (exp.f64 (*.f64 (sin.f64 a) (sin.f64 b))))))
	29.4b	(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 r a)) (pow.f64 (cos.f64 b) 2)))
	1.0b	(/.f64 (.f64 r (sin.f64 b)) (.f64 (.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))) (cbrt.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))) (cbrt.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))
	28.5b	(.f64 (/.f64 r (sqrt.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))) (/.f64 (sin.f64 b) (sqrt.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))
	0.6b	(/.f64 (.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) 3)))
	29.7b	(.f64 (sqrt.f64 (/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))) (sqrt.f64 (/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))
	0.4b	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 a)) (cbrt.f64 (sin.f64 a))) (.f64 (sin.f64 b) (cbrt.f64 (sin.f64 a)))))))
	1.2b	(/.f64 (.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) (cbrt.f64 (.f64 (sin.f64 b) r))) (cbrt.f64 (.f64 (sin.f64 b) r))) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (.f64 (sin.f64 a) (sin.f64 b)))))
	0.4b	(/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (sin.f64 a) 1)))
	0.4b	(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))))
	0.3b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))

Compiler

Compiled 5246 to 1648 computations (68.6% saved)

regimes882.0ms (9%)

Accuracy

Total 0.3b remaining (84.1%)

Threshold costs 0.3b (84.1%)

Counts

189 → 1

Compiler

Compiled 17582 to 10592 computations (39.8% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative_binary64`
5×	`+-commutative_binary64`
5×	`sub-neg_binary64`
5×	`neg-sub0_binary64`
5×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	28
1	28	28
2	40	28
3	48	28
4	51	28
5	51	28

end202.0ms (2.1%)

Compiler: Compiled 363 to 196 computations (46% saved)

Details

analyze1.9s (19.7%)

sample4.1s (41.6%)

simplify11.0ms (0.1%)

prune2.0ms (0%)

localize7.0ms (0.1%)

series68.0ms (0.7%)

rewrite12.0ms (0.1%)

simplify66.0ms (0.7%)

prune149.0ms (1.5%)

localize12.0ms (0.1%)

series147.0ms (1.5%)

rewrite40.0ms (0.4%)

simplify134.0ms (1.4%)

prune259.0ms (2.6%)

localize12.0ms (0.1%)

series138.0ms (1.4%)

rewrite6.0ms (0.1%)

simplify71.0ms (0.7%)

prune219.0ms (2.2%)

localize17.0ms (0.2%)

series993.0ms (10.1%)

rewrite7.0ms (0.1%)

simplify137.0ms (1.4%)

prune218.0ms (2.2%)

regimes882.0ms (9%)

simplify3.0ms (0%)

end202.0ms (2.1%)

Profiling