Details

analyze1.8s (12.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
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
19.5%	80.4%	0.1%	10
20.7%	79.2%	0.1%	11
22%	77.8%	0.1%	12
23.5%	76.4%	0.1%	13
23.8%	76%	0.1%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample3.9s (26.9%)

Results

2.4s	3532×	body	1024	valid
607.0ms	1419×	body	512	valid
388.0ms	2489×	body	128	valid
291.0ms	207×	body	2048	valid
186.0ms	609×	body	256	valid
1.0ms	1×	body	1024	invalid

Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	13	14
2	16	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

13.4b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	13.4b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))

Compiler

Compiled 45 to 28 computations (37.8% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
✓	0.2b	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
✓	1.7b	(cos.f64 (+.f64 a b))

series71.0ms (0.5%)

Counts

3 → 52

Calls

3 calls:

42.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
25.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
4.0ms	(cos.f64 (+.f64 a b))

rewrite16.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64`
19×	`times-frac_binary64`
19×	`*-un-lft-identity_binary64`
19×	`add-cube-cbrt_binary64`
13×	`associate-r_binary64`

Counts

3 → 73

Calls

3 calls:

5.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
4.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
3.0ms	(cos.f64 (+.f64 a b))

simplify72.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

696×	`fma-def_binary64`
561×	`associate-/r*_binary64`
437×	`associate-*l/_binary64`
281×	`associate-/r/_binary64`
239×	`associate-/l/_binary64`

Counts

125 → 172

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	244	2790
1	620	2642
2	2288	2580
3	5317	2580

prune172.0ms (1.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	161	11	172
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	162	11	173

Error

0.1b

Counts

173 → 11

Alt Table

Status	Error	Program
	13.4b	(.f64 r (.f64 (sin.f64 b) (/.f64 1 (cos.f64 (+.f64 a b)))))
	13.5b	(.f64 r (/.f64 (sin.f64 b) (cbrt.f64 (.f64 (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b))) (cos.f64 (+.f64 a b))))))
	14.0b	(.f64 (.f64 (cbrt.f64 (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) (cbrt.f64 (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))) (cbrt.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))))
▶	0.3b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
	14.1b	(.f64 r (.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))))
	30.8b	(fma.f64 (/.f64 b (cos.f64 a)) r (.f64 (/.f64 (.f64 b (*.f64 b (sin.f64 a))) (pow.f64 (cos.f64 a) 2)) r))
	13.4b	(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (cos.f64 (+.f64 a b))))
	34.1b	(*.f64 (/.f64 r (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 a b)))))
	14.2b	(.f64 r (.f64 (/.f64 (.f64 (cbrt.f64 (sin.f64 b)) (cbrt.f64 (sin.f64 b))) (.f64 (cbrt.f64 (cos.f64 (+.f64 a b))) (cbrt.f64 (cos.f64 (+.f64 a b))))) (/.f64 (cbrt.f64 (sin.f64 b)) (cbrt.f64 (cos.f64 (+.f64 a b))))))
	46.0b	(cbrt.f64 (.f64 (.f64 (.f64 r r) r) (.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))))
	13.4b	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))

Compiler

Compiled 4093 to 1321 computations (67.7% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series179.0ms (1.2%)

Counts

4 → 72

Calls

4 calls:

101.0ms	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
59.0ms	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
9.0ms	(*.f64 (cos.f64 a) (cos.f64 b))
9.0ms	(*.f64 (sin.f64 a) (sin.f64 b))

rewrite29.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`add-sqr-sqrt_binary64`
24×	`*-un-lft-identity_binary64`
24×	`add-cube-cbrt_binary64`
23×	`associate-r_binary64`
19×	`times-frac_binary64`

Counts

4 → 113

Calls

4 calls:

8.0ms	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
6.0ms	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
3.0ms	(*.f64 (sin.f64 a) (sin.f64 b))
3.0ms	(*.f64 (cos.f64 a) (cos.f64 b))

simplify142.0ms (1%)

Algorithm

1×	egg-herbie

Rules

376×	`cancel-sign-sub-inv_binary64`
331×	`associate-r_binary64`
312×	`fma-neg_binary64`
302×	`associate-l_binary64`
232×	`distribute-rgt-neg-in_binary64`

Counts

185 → 212

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	356	5222
1	918	4939
2	3472	4759
3	4807	4757
4	4957	4757

prune247.0ms (1.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	201	11	212
Fresh	10	0	10
Picked	1	0	1
Done	0	0	0
Total	212	11	223

Error

0.0b

Counts

223 → 11

Alt Table

Status	Error	Program
	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)))))
	28.4b	(.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))))))
	1.2b	(.f64 r (.f64 (.f64 (cbrt.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))) (cbrt.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))))) (cbrt.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
	0.6b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (.f64 (cbrt.f64 (cos.f64 a)) (cbrt.f64 (cos.f64 a))) (.f64 (cbrt.f64 (cos.f64 a)) (cos.f64 b))) (*.f64 (sin.f64 a) (sin.f64 b)))))
	0.3b	(.f64 r (/.f64 1 (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) (sin.f64 b))))
	0.5b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (cbrt.f64 (.f64 (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 (cos.f64 a) (cos.f64 b)))) (*.f64 (sin.f64 a) (sin.f64 b)))))
	0.6b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (log.f64 (exp.f64 (.f64 (cos.f64 a) (cos.f64 b)))) (*.f64 (sin.f64 a) (sin.f64 b)))))
	1.2b	(.f64 (.f64 (cbrt.f64 r) (cbrt.f64 r)) (.f64 (cbrt.f64 r) (/.f64 (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 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))))) (cbrt.f64 (.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))))) (cbrt.f64 (.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
▶	0.3b	(/.f64 r (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 (sin.f64 a) 1)))
	0.4b	(.f64 (.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))))) (+.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))

Compiler

Compiled 6650 to 1939 computations (70.8% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series166.0ms (1.1%)

Counts

4 → 88

Calls

4 calls:

115.0ms	(/.f64 r (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 (sin.f64 a) 1)))
22.0ms	(-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 (sin.f64 a) 1))
21.0ms	(/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b)))
6.0ms	(/.f64 (sin.f64 b) (cos.f64 b))

rewrite892.0ms (6.1%)

Algorithm

1×	rewrite-expression-head

Rules

1540×	`times-frac_binary64`
1028×	`add-sqr-sqrt_binary64`
923×	`*-un-lft-identity_binary64`
878×	`add-cube-cbrt_binary64`
572×	`prod-diff_binary64`

Counts

4 → 832

Calls

4 calls:

48.0ms	(-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 (sin.f64 a) 1))
26.0ms	(/.f64 r (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 (sin.f64 a) 1)))
5.0ms	(/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b)))
3.0ms	(/.f64 (sin.f64 b) (cos.f64 b))

simplify1.2s (8.3%)

Algorithm

1×	egg-herbie

Rules

314×	`fma-neg_binary64`
259×	`associate-/l*_binary64`
252×	`fma-udef_binary64`
228×	`associate-r_binary64`
201×	`associate-*l/_binary64`

Counts

920 → 1053

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	715	35477
1	1097	33287
2	4118	29114
3	4710	29113
4	4957	29113
5	4931	29113

prune1.4s (9.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	1049	4	1053
Fresh	5	5	10
Picked	1	0	1
Done	0	0	0
Total	1055	9	1064

Error

Counts

1064 → 9

Alt Table

Status	Error	Program
	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 (/.f64 r (-.f64 (cos.f64 a) (.f64 (sin.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))))) (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) 1))
	0.5b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (cbrt.f64 (.f64 (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 (cos.f64 a) (cos.f64 b)))) (*.f64 (sin.f64 a) (sin.f64 b)))))
	0.3b	(/.f64 r (+.f64 (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (sin.f64 a)) 0))
	28.4b	(.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))))))
	0.3b	(.f64 r (/.f64 1 (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) (sin.f64 b))))
	10.9b	(/.f64 r (/.f64 (-.f64 (/.f64 (pow.f64 (cos.f64 a) 2) (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2))) (pow.f64 (sin.f64 a) 2)) (fma.f64 (/.f64 (cos.f64 a) (sin.f64 b)) (cos.f64 b) (sin.f64 a))))
	0.7b	(/.f64 r (-.f64 (.f64 (.f64 (cbrt.f64 (cos.f64 b)) (cbrt.f64 (cos.f64 b))) (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cbrt.f64 (cos.f64 b))))) (/.f64 (sin.f64 a) 1)))
	1.2b	(.f64 (.f64 (cbrt.f64 (.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))))) (cbrt.f64 (.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))))) (cbrt.f64 (.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))

Compiler

Compiled 50870 to 20386 computations (59.9% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series316.0ms (2.2%)

Counts

3 → 96

Calls

3 calls:

179.0ms

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

115.0ms

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

22.0ms

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

rewrite36.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`add-exp-log_binary64`
31×	`add-sqr-sqrt_binary64`
31×	`add-cbrt-cube_binary64`
28×	`times-frac_binary64`
26×	`*-un-lft-identity_binary64`

Counts

3 → 112

Calls

3 calls:

15.0ms

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

6.0ms

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

3.0ms

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

simplify209.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

320×	`associate-r_binary64`
313×	`associate-l_binary64`
259×	`associate-/l*_binary64`
185×	`*-commutative_binary64`
169×	`associate-*r/_binary64`

Counts

208 → 225

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	360	6314
1	917	5762
2	3565	5713
3	4704	5712
4	5074	5712

prune397.0ms (2.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	302	3	305
Fresh	3	5	8
Picked	1	0	1
Done	0	0	0
Total	306	8	314

Error

Counts

314 → 8

Alt Table

Status	Error	Program
	0.5b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (cbrt.f64 (.f64 (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 (cos.f64 a) (cos.f64 b)))) (*.f64 (sin.f64 a) (sin.f64 b)))))
	0.3b	(/.f64 r (+.f64 (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (sin.f64 a)) 0))
	28.4b	(.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))))))
	10.9b	(/.f64 r (/.f64 (-.f64 (/.f64 (pow.f64 (cos.f64 a) 2) (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2))) (pow.f64 (sin.f64 a) 2)) (fma.f64 (/.f64 (cos.f64 a) (sin.f64 b)) (cos.f64 b) (sin.f64 a))))
	0.3b	(/.f64 (.f64 (sin.f64 b) r) (.f64 (-.f64 (cos.f64 a) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 b))) (cos.f64 b)))
	0.7b	(/.f64 r (-.f64 (.f64 (.f64 (cbrt.f64 (cos.f64 b)) (cbrt.f64 (cos.f64 b))) (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cbrt.f64 (cos.f64 b))))) (/.f64 (sin.f64 a) 1)))
	0.3b	(.f64 (/.f64 r (-.f64 (cos.f64 a) (.f64 (sin.f64 a) (tan.f64 b)))) (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) 1))
	0.2b	(.f64 (/.f64 r (-.f64 (cos.f64 a) (.f64 (sin.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))))) (*.f64 (tan.f64 b) 1))

Compiler

Compiled 9977 to 2517 computations (74.8% saved)

regimes3.1s (21.1%)

Accuracy

Total 0.3b remaining (83.3%)

Threshold costs 0.3b (83.3%)

Counts

455 → 1

Compiler

Compiled 60217 to 36620 computations (39.2% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	26
1	26	26
2	35	26
3	43	26
4	49	26
5	52	26
6	53	26
7	52	26

end148.0ms (1%)

Compiler: Compiled 247 to 149 computations (39.7% saved)

Details

analyze1.8s (12.6%)

sample3.9s (26.9%)

simplify6.0ms (0%)

prune2.0ms (0%)

localize8.0ms (0.1%)

series71.0ms (0.5%)

rewrite16.0ms (0.1%)

simplify72.0ms (0.5%)

prune172.0ms (1.2%)

localize13.0ms (0.1%)

series179.0ms (1.2%)

rewrite29.0ms (0.2%)

simplify142.0ms (1%)

prune247.0ms (1.7%)

localize13.0ms (0.1%)

series166.0ms (1.1%)

rewrite892.0ms (6.1%)

simplify1.2s (8.3%)

prune1.4s (9.5%)

localize15.0ms (0.1%)

series316.0ms (2.2%)

rewrite36.0ms (0.2%)

simplify209.0ms (1.4%)

prune397.0ms (2.7%)

regimes3.1s (21.1%)

simplify3.0ms (0%)

end148.0ms (1%)

Profiling