Details

analyze1.6s (16.7%)

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
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)

sample101.0ms (1%)

Algorithm

1×

intervals

Results

60.0ms	125×	body	1024	valid
11.0ms	34×	body	512	valid
9.0ms	7×	body	2048	valid
6.0ms	68×	body	128	valid
4.0ms	22×	body	256	valid

Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify6.0ms (0.1%)

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

14.5b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	14.5b	(*.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)))
✓	3.2b	(cos.f64 (+.f64 a b))

series82.0ms (0.8%)

Counts

3 → 52

Calls

3 calls:

48.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
28.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
6.0ms	(cos.f64 (+.f64 a b))

rewrite15.0ms (0.2%)

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:

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

simplify75.0ms (0.8%)

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

prune157.0ms (1.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	164	8	172
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	165	8	173

Error

0.2b

Counts

173 → 8

Alt Table

Status	Error	Program
	15.3b	(.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))))))
	14.5b	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
	27.9b	(.f64 r (cbrt.f64 (.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))))))
	14.7b	(*.f64 r (/.f64 (sin.f64 b) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 3))))
	14.5b	(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (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)))))
	29.5b	(*.f64 (/.f64 r (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 a b)))))
	38.7b	(.f64 (sqrt.f64 (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) (sqrt.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))))

Compiler

Compiled 3913 to 1247 computations (68.1% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.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))))

series239.0ms (2.5%)

Counts

4 → 80

Calls

4 calls:

148.0ms	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
64.0ms	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
16.0ms	(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))
11.0ms	(*.f64 (sin.f64 a) (sin.f64 b))

rewrite32.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`add-sqr-sqrt_binary64`
22×	`*-un-lft-identity_binary64`
22×	`add-cube-cbrt_binary64`
20×	`associate-r_binary64`
19×	`times-frac_binary64`

Counts

4 → 110

Calls

4 calls:

11.0ms	(.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))))
4.0ms	(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))
4.0ms	(*.f64 (sin.f64 a) (sin.f64 b))

simplify159.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

386×	`fma-neg_binary64`
323×	`cancel-sign-sub-inv_binary64`
290×	`associate-r_binary64`
268×	`associate-l_binary64`
198×	`distribute-rgt-neg-in_binary64`

Counts

190 → 216

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	331	5599
1	871	5281
2	3258	5029
3	4530	5023
4	4971	5023

prune236.0ms (2.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	206	10	216
Fresh	7	0	7
Picked	1	0	1
Done	0	0	0
Total	214	10	224

Error

0.0b

Counts

224 → 10

Alt Table

Status	Error	Program
▶	0.3b	(.f64 r (/.f64 (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)))))))
	0.4b	(/.f64 r (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 (sin.f64 a) 1)))
	0.3b	(/.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 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) 3) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) 3)))) (+.f64 (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))) (+.f64 (.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))))))
	0.4b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (cbrt.f64 (.f64 (.f64 (.f64 (sin.f64 a) (sin.f64 a)) (sin.f64 a)) (.f64 (*.f64 (sin.f64 b) (sin.f64 b)) (sin.f64 b)))))))
	1.3b	(.f64 (.f64 r (.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))))))
	0.5b	(.f64 (.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 (cos.f64 b) 2)) (.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (sin.f64 b) 2))))) (+.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
	23.3b	(.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))))))
	13.8b	(.f64 r (cbrt.f64 (.f64 (.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))) (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))) (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
	0.9b	(.f64 r (/.f64 (/.f64 (sin.f64 b) (.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))))))

Compiler

Compiled 6727 to 1887 computations (71.9% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (sin.f64 a) (sin.f64 b))
✓	0.2b	(/.f64 (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))))))
✓	0.3b	(.f64 (.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
✓	26.5b	(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))))

series101.0ms (1%)

Counts

3 → 72

Calls

3 calls:

65.0ms

(/.f64 (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))))))

25.0ms

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

10.0ms

(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))))

rewrite41.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`pow1_binary64`
28×	`sin-mult_binary64`
17×	`pow-prod-down_binary64`
17×	`add-cbrt-cube_binary64`
17×	`add-exp-log_binary64`

Counts

3 → 96

Calls

3 calls:

11.0ms

(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))))

10.0ms

(/.f64 (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))))))

6.0ms

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

simplify106.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

682×	`fma-def_binary64`
654×	`times-frac_binary64`
378×	`cancel-sign-sub-inv_binary64`
308×	`unswap-sqr_binary64`
247×	`associate-r_binary64`

Counts

168 → 185

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	295	5264
1	707	4170
2	2395	3868
3	5161	3868

prune439.0ms (4.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	305	3	308
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	308	10	318

Error

0.0b

Counts

318 → 10

Alt Table

Status	Error	Program
▶	0.3b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (cbrt.f64 (.f64 (.f64 (.f64 (sin.f64 a) (sin.f64 b)) (log.f64 (exp.f64 (.f64 (sin.f64 a) (sin.f64 b))))) (*.f64 (sin.f64 a) (sin.f64 b)))))))
	0.4b	(.f64 (.f64 r (/.f64 (sin.f64 b) (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) 3) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) 3)))) (+.f64 (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))) (+.f64 (.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))))))
	31.7b	(.f64 r (exp.f64 (log.f64 (/.f64 (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)))))))))
	0.5b	(.f64 (.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 (cos.f64 b) 2)) (.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (sin.f64 b) 2))))) (+.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
	23.3b	(.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))))))
	0.4b	(/.f64 r (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 (sin.f64 a) 1)))
	13.8b	(.f64 r (cbrt.f64 (.f64 (.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))) (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))) (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
	1.3b	(.f64 (.f64 r (.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))))))
	13.8b	(.f64 r (cbrt.f64 (/.f64 (.f64 (.f64 (sin.f64 b) (sin.f64 b)) (sin.f64 b)) (.f64 (.f64 (-.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))))) (-.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)))))) (-.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)))))))))
	0.9b	(.f64 r (/.f64 (/.f64 (sin.f64 b) (.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))))))

Compiler

Compiled 12504 to 3261 computations (73.9% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (cbrt.f64 (.f64 (.f64 (.f64 (sin.f64 a) (sin.f64 b)) (log.f64 (exp.f64 (.f64 (sin.f64 a) (sin.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)) (cbrt.f64 (.f64 (.f64 (.f64 (sin.f64 a) (sin.f64 b)) (log.f64 (exp.f64 (.f64 (sin.f64 a) (sin.f64 b))))) (.f64 (sin.f64 a) (sin.f64 b))))))
✓	3.0b	(log.f64 (exp.f64 (*.f64 (sin.f64 a) (sin.f64 b))))

series193.0ms (2%)

Counts

3 → 84

Calls

3 calls:

115.0ms

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

66.0ms

(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cbrt.f64 (*.f64 (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (log.f64 (exp.f64 (*.f64 (sin.f64 a) (sin.f64 b))))) (*.f64 (sin.f64 a) (sin.f64 b))))))

11.0ms

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

rewrite36.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64`
20×	`*-un-lft-identity_binary64`
20×	`add-cube-cbrt_binary64`
19×	`times-frac_binary64`
18×	`associate-r_binary64`

Counts

3 → 89

Calls

3 calls:

12.0ms

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

9.0ms

(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cbrt.f64 (*.f64 (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (log.f64 (exp.f64 (*.f64 (sin.f64 a) (sin.f64 b))))) (*.f64 (sin.f64 a) (sin.f64 b))))))

2.0ms

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

simplify165.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

806×	`fma-def_binary64`
264×	`associate-/l/_binary64`
255×	`fma-neg_binary64`
243×	`associate-r_binary64`
217×	`associate-l_binary64`

Counts

173 → 204

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	322	7214
1	796	5383
2	2842	4920
3	4844	4915
4	4962	4915

prune422.0ms (4.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	326	1	327
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	327	10	337

Error

0.0b

Counts

337 → 10

Alt Table

Status	Error	Program
	30.7b	(.f64 (.f64 r (sqrt.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))))) (sqrt.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (cbrt.f64 (.f64 (.f64 (.f64 (sin.f64 a) (sin.f64 b)) (log.f64 (exp.f64 (.f64 (sin.f64 a) (sin.f64 b))))) (.f64 (sin.f64 a) (sin.f64 b))))))))
	31.7b	(.f64 r (exp.f64 (log.f64 (/.f64 (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)))))))))
✓	0.3b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (cbrt.f64 (.f64 (.f64 (.f64 (sin.f64 a) (sin.f64 b)) (log.f64 (exp.f64 (.f64 (sin.f64 a) (sin.f64 b))))) (*.f64 (sin.f64 a) (sin.f64 b)))))))
	0.4b	(.f64 (.f64 r (/.f64 (sin.f64 b) (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) 3) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) 3)))) (+.f64 (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))) (+.f64 (.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))))))
	0.5b	(.f64 (.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 (cos.f64 b) 2)) (.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (sin.f64 b) 2))))) (+.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
	23.3b	(.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))))))
	0.4b	(/.f64 r (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 (sin.f64 a) 1)))
	13.8b	(.f64 r (cbrt.f64 (.f64 (.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))) (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))) (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
	13.8b	(.f64 r (cbrt.f64 (/.f64 (.f64 (.f64 (sin.f64 b) (sin.f64 b)) (sin.f64 b)) (.f64 (.f64 (-.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))))) (-.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)))))) (-.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)))))))))
	0.9b	(.f64 r (/.f64 (/.f64 (sin.f64 b) (.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))))))

Compiler

Compiled 14173 to 3018 computations (78.7% saved)

regimes1.9s (20%)

Accuracy

Total 0.3b remaining (83.7%)

Threshold costs 0.3b (83.7%)

Counts

315 → 1

Compiler

Compiled 45272 to 24368 computations (46.2% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	41
1	23	41
2	28	41
3	30	41
4	31	41
5	31	41

end1.0ms (0%)

Compiler: Compiled 28 to 16 computations (42.9% saved)

sample3.4s (35.6%)

Algorithm

1×

intervals

Results

1.9s	3522×	body	1024	valid
352.0ms	1357×	body	512	valid
224.0ms	185×	body	2048	valid
221.0ms	2333×	body	128	valid
123.0ms	603×	body	256	valid
0.0ms	1×	body	512	invalid
0.0ms	1×	body	256	invalid

Compiler

Compiled 497 to 208 computations (58.1% saved)

Details

analyze1.6s (16.7%)

sample101.0ms (1%)

simplify6.0ms (0.1%)

prune2.0ms (0%)

localize8.0ms (0.1%)

series82.0ms (0.8%)

rewrite15.0ms (0.2%)

simplify75.0ms (0.8%)

prune157.0ms (1.6%)

localize12.0ms (0.1%)

series239.0ms (2.5%)

rewrite32.0ms (0.3%)

simplify159.0ms (1.6%)

prune236.0ms (2.5%)

localize18.0ms (0.2%)

series101.0ms (1%)

rewrite41.0ms (0.4%)

simplify106.0ms (1.1%)

prune439.0ms (4.6%)

localize18.0ms (0.2%)

series193.0ms (2%)

rewrite36.0ms (0.4%)

simplify165.0ms (1.7%)

prune422.0ms (4.4%)

regimes1.9s (20%)

simplify3.0ms (0%)

end1.0ms (0%)

sample3.4s (35.6%)

Profiling