Details

analyze1.5s (15.3%)

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)

sample4.3s (42.9%)

Results

2.8s	3582×	body	1024	valid
582.0ms	1387×	body	512	valid
410.0ms	2427×	body	128	valid
299.0ms	216×	body	2048	valid
205.0ms	644×	body	256	valid
1.0ms	2×	body	1024	invalid

Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify8.0ms (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

14.5b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	14.5b	(/.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)))
✓	3.7b	(cos.f64 (+.f64 a b))

series62.0ms (0.6%)

Counts

3 → 68

Calls

3 calls:

51.0ms	(/.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))

rewrite13.0ms (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))

simplify61.0ms (0.6%)

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

prune123.0ms (1.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	115	9	124
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	116	9	125

Error

0.1b

Counts

125 → 9

Alt Table

Status	Error	Program
	15.2b	(/.f64 1 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))))
▶	0.3b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
	14.5b	(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
	15.2b	(/.f64 (.f64 (.f64 (cbrt.f64 r) (cbrt.f64 r)) (*.f64 (cbrt.f64 r) (sin.f64 b))) (cos.f64 (+.f64 a b)))
	32.9b	(*.f64 (/.f64 r (sqrt.f64 (cos.f64 (+.f64 a b)))) (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 a b)))))
	29.0b	(fma.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)))
	29.1b	(fma.f64 (/.f64 b (cos.f64 a)) r (/.f64 (.f64 (sin.f64 a) (.f64 b (*.f64 b r))) (pow.f64 (cos.f64 a) 2)))
	14.6b	(/.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)))))
	14.9b	(/.f64 (/.f64 (.f64 r (sin.f64 b)) (.f64 (cbrt.f64 (cos.f64 (+.f64 a b))) (cbrt.f64 (cos.f64 (+.f64 a b))))) (cbrt.f64 (cos.f64 (+.f64 a b))))

Compiler

Compiled 2625 to 918 computations (65% saved)

localize13.0ms (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 (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))))

series148.0ms (1.5%)

Counts

3 → 64

Calls

3 calls:

122.0ms

(/.f64 (*.f64 r (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)))

10.0ms

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

rewrite19.0ms (0.2%)

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:

7.0ms

(/.f64 (*.f64 r (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)))

3.0ms

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

simplify131.0ms (1.3%)

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	691	3279
2	2584	3054
3	4578	3049
4	4996	3049
5	4923	3049

prune235.0ms (2.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	183	11	194
Fresh	7	1	8
Picked	1	0	1
Done	0	0	0
Total	191	12	203

Error

0.0b

Counts

203 → 12

Alt Table

Status	Error	Program
	0.4b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
	1.2b	(.f64 (.f64 (cbrt.f64 (/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))) (cbrt.f64 (/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))))) (cbrt.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)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (.f64 (cbrt.f64 (sin.f64 a)) (cbrt.f64 (sin.f64 a))) (*.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b)))))
	1.0b	(/.f64 1 (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 r (sin.f64 b))))
	0.3b	(/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (sin.f64 a) 1)))
	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)))))
	1.2b	(/.f64 (.f64 (.f64 (cbrt.f64 r) (cbrt.f64 r)) (.f64 (sin.f64 b) (cbrt.f64 r))) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.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 (/.f64 (.f64 (sin.f64 b) r) (-.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))))
	0.4b	(.f64 (/.f64 (.f64 r (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 (.f64 r (sin.f64 b)) (/.f64 1 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))))
	14.9b	(/.f64 (/.f64 (.f64 r (sin.f64 b)) (.f64 (cbrt.f64 (cos.f64 (+.f64 a b))) (cbrt.f64 (cos.f64 (+.f64 a b))))) (cbrt.f64 (cos.f64 (+.f64 a b))))

Compiler

Compiled 5693 to 1601 computations (71.9% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series133.0ms (1.3%)

Counts

2 → 60

Calls

2 calls:

114.0ms	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (.f64 (sin.f64 a) (sin.f64 b)))))
17.0ms	(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))))

simplify72.0ms (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

prune437.0ms (4.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	172	1	173
Fresh	2	9	11
Picked	0	1	1
Done	0	0	0
Total	174	11	185

Error

0.0b

Counts

185 → 11

Alt Table

Status	Error	Program
	14.9b	(/.f64 (/.f64 (.f64 r (sin.f64 b)) (.f64 (cbrt.f64 (cos.f64 (+.f64 a b))) (cbrt.f64 (cos.f64 (+.f64 a b))))) (cbrt.f64 (cos.f64 (+.f64 a b))))
	1.2b	(/.f64 (.f64 (.f64 r (.f64 (cbrt.f64 (sin.f64 b)) (cbrt.f64 (sin.f64 b)))) (cbrt.f64 (sin.f64 b))) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (.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 (cbrt.f64 (sin.f64 a)) (cbrt.f64 (sin.f64 a))) (*.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b)))))
	1.0b	(/.f64 1 (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 r (sin.f64 b))))
▶	0.3b	(/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (sin.f64 a) 1)))
	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)))))
	0.4b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
✓	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 (/.f64 (.f64 (sin.f64 b) r) (-.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))))
	0.4b	(.f64 (/.f64 (.f64 r (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 (.f64 r (sin.f64 b)) (/.f64 1 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))))

Compiler

Compiled 4929 to 1418 computations (71.2% 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))
✓	0.1b	(-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (sin.f64 a) 1))
✓	0.2b	(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b))
✓	0.2b	(/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (sin.f64 a) 1)))

series222.0ms (2.2%)

Counts

4 → 76

Calls

4 calls:

162.0ms	(/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (sin.f64 a) 1)))
25.0ms	(-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (sin.f64 a) 1))
24.0ms	(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b))
10.0ms	(*.f64 (cos.f64 a) (cos.f64 b))

rewrite62.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

148×	`times-frac_binary64`
141×	`add-sqr-sqrt_binary64`
119×	`*-un-lft-identity_binary64`
104×	`add-cube-cbrt_binary64`
91×	`prod-diff_binary64`

Counts

4 → 222

Calls

4 calls:

14.0ms	(-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (sin.f64 a) 1))
10.0ms	(/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (sin.f64 a) 1)))
10.0ms	(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b))
3.0ms	(*.f64 (cos.f64 a) (cos.f64 b))

simplify307.0ms (3%)

Algorithm

1×	egg-herbie

Rules

441×	`cancel-sign-sub-inv_binary64`
312×	`fma-neg_binary64`
237×	`associate-/l*_binary64`
227×	`associate-r_binary64`
223×	`associate-l_binary64`

Counts

298 → 334

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	406	7747
1	846	7289
2	3310	6828
3	4689	6827
4	4987	6827
5	4998	6827
6	4909	6827

prune482.0ms (4.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	331	3	334
Fresh	4	5	9
Picked	0	1	1
Done	0	1	1
Total	335	10	345

Error

Counts

345 → 10

Alt Table

Status	Error	Program
✓	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)))))
	0.9b	(/.f64 r (-.f64 (/.f64 (.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 a) (cos.f64 b))) (cbrt.f64 (.f64 (cos.f64 a) (cos.f64 b)))) (cbrt.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)))))
	13.9b	(.f64 (/.f64 r (-.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))) (+.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (sin.f64 a) 1)))
	1.2b	(/.f64 (.f64 (.f64 r (.f64 (cbrt.f64 (sin.f64 b)) (cbrt.f64 (sin.f64 b)))) (cbrt.f64 (sin.f64 b))) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (.f64 (sin.f64 a) (sin.f64 b)))))
	0.4b	(/.f64 r (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (/.f64 1 (sin.f64 b)) (neg.f64 (sin.f64 a))))
	0.4b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (.f64 (cbrt.f64 (sin.f64 a)) (cbrt.f64 (sin.f64 a))) (*.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b)))))
✓	0.3b	(/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (sin.f64 a) 1)))
	0.4b	(.f64 (/.f64 (.f64 (sin.f64 b) r) (-.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))))
	0.4b	(.f64 (/.f64 (.f64 r (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))))))

Compiler

Compiled 11983 to 4765 computations (60.2% saved)

regimes1.5s (14.5%)

Accuracy

Total 0.3b remaining (86.1%)

Threshold costs 0.3b (86.1%)

Counts

288 → 1

Compiler

Compiled 29000 to 16854 computations (41.9% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	26
1	23	26
2	31	26
3	36	26
4	38	26
5	38	26

end192.0ms (1.9%)

Compiler: Compiled 339 to 193 computations (43.1% saved)

Details

analyze1.5s (15.3%)

sample4.3s (42.9%)

simplify8.0ms (0.1%)

prune2.0ms (0%)

localize7.0ms (0.1%)

series62.0ms (0.6%)

rewrite13.0ms (0.1%)

simplify61.0ms (0.6%)

prune123.0ms (1.2%)

localize13.0ms (0.1%)

series148.0ms (1.5%)

rewrite19.0ms (0.2%)

simplify131.0ms (1.3%)

prune235.0ms (2.3%)

localize12.0ms (0.1%)

series133.0ms (1.3%)

rewrite6.0ms (0.1%)

simplify72.0ms (0.7%)

prune437.0ms (4.3%)

localize13.0ms (0.1%)

series222.0ms (2.2%)

rewrite62.0ms (0.6%)

simplify307.0ms (3%)

prune482.0ms (4.8%)

regimes1.5s (14.5%)

simplify3.0ms (0%)

end192.0ms (1.9%)

Profiling