Details

analyze1.5s (15.1%)

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)

sample5.0s (50%)

Results

3.3s	3614×	body	1024	valid
613.0ms	1406×	body	512	valid
524.0ms	2432×	body	128	valid
351.0ms	221×	body	2048	valid
175.0ms	583×	body	256	valid
2.0ms	3×	body	1024	invalid
0.0ms	1×	body	512	invalid

Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify7.0ms (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

15.5b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	15.5b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))

Compiler

Compiled 45 to 27 computations (40% saved)

localize66.0ms (0.7%)

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)))
✓	2.2b	(cos.f64 (+.f64 a b))

series62.0ms (0.6%)

Counts

3 → 68

Calls

3 calls:

50.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
8.0ms	(*.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:

6.0ms	(/.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))

simplify60.0ms (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

prune128.0ms (1.3%)

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
	15.5b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
	15.6b	(/.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)))))
	28.1b	(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 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (.f64 a r) (/.f64 (.f64 (.f64 a (*.f64 a r)) (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3)))))
	36.0b	(/.f64 (.f64 (sqrt.f64 r) (.f64 (sqrt.f64 r) (sin.f64 b))) (cos.f64 (+.f64 a b)))
	32.1b	(/.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)))))
	37.5b	(/.f64 (.f64 (sqrt.f64 (.f64 r (sin.f64 b))) (sqrt.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 a b)))
	41.0b	(/.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 b) r) 3)) (cos.f64 (+.f64 a b)))
	15.5b	(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
	15.8b	(/.f64 1 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))))
	15.6b	(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (exp.f64 (cos.f64 (+.f64 a b)))))
▶	0.4b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
	15.5b	(/.f64 (*.f64 r (sin.f64 b)) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 a b)))))

Compiler

Compiled 2751 to 1010 computations (63.3% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series140.0ms (1.4%)

Counts

3 → 64

Calls

3 calls:

113.0ms

(/.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)))

11.0ms

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

rewrite21.0ms (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:

8.0ms

(/.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))

simplify132.0ms (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

prune248.0ms (2.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	184	10	194
Fresh	9	2	11
Picked	1	0	1
Done	0	0	0
Total	194	12	206

Error

0.0b

Counts

206 → 12

Alt Table

Status	Error	Program
	28.1b	(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 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (.f64 a r) (/.f64 (.f64 (.f64 a (*.f64 a r)) (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3)))))
	0.4b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3))))
	0.3b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
	28.8b	(/.f64 (.f64 (sqrt.f64 (.f64 (sin.f64 b) r)) (sqrt.f64 (.f64 (sin.f64 b) r))) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
	0.9b	(.f64 (/.f64 r (.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)))))) (/.f64 (sin.f64 b) (cbrt.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))))
	36.0b	(/.f64 (.f64 (sqrt.f64 r) (.f64 (sqrt.f64 r) (sin.f64 b))) (cos.f64 (+.f64 a b)))
	0.3b	(/.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 (/.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))))
	0.5b	(.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))))))
	0.6b	(/.f64 1 (/.f64 (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (sin.f64 a) 1)) r))

Compiler

Compiled 5639 to 1603 computations (71.6% saved)

localize14.0ms (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)))))

series193.0ms (1.9%)

Counts

2 → 60

Calls

2 calls:

132.0ms	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (.f64 (sin.f64 a) (sin.f64 b)))))
61.0ms	(fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))))

rewrite10.0ms (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

prune227.0ms (2.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	170	3	173
Fresh	3	8	11
Picked	1	0	1
Done	0	0	0
Total	174	11	185

Error

0.0b

Counts

185 → 11

Alt Table

Status	Error	Program
	28.8b	(/.f64 (.f64 (sqrt.f64 (.f64 (sin.f64 b) r)) (sqrt.f64 (.f64 (sin.f64 b) r))) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
	0.9b	(.f64 (/.f64 r (.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)))))) (/.f64 (sin.f64 b) (cbrt.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.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)))
	28.1b	(/.f64 (.f64 (sqrt.f64 r) (.f64 (sin.f64 b) (sqrt.f64 r))) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.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)))))
	0.6b	(/.f64 1 (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (.f64 (sin.f64 a) (sin.f64 b)))) (.f64 r (sin.f64 b))))
	0.4b	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 3)))))
	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))))))
	0.4b	(.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))))
	0.5b	(.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))))))
	0.6b	(/.f64 1 (/.f64 (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (sin.f64 a) 1)) r))

Compiler

Compiled 4918 to 1420 computations (71.1% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series235.0ms (2.4%)

Counts

4 → 76

Calls

4 calls:

141.0ms	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
67.0ms	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
16.0ms	(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
11.0ms	(*.f64 (sin.f64 b) (sin.f64 a))

rewrite37.0ms (0.4%)

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:

10.0ms	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
10.0ms	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
4.0ms	(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
4.0ms	(*.f64 (sin.f64 b) (sin.f64 a))

simplify184.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

367×	`fma-neg_binary64`
327×	`cancel-sign-sub-inv_binary64`
298×	`associate-r_binary64`
265×	`associate-l_binary64`
203×	`associate-/l*_binary64`

Counts

186 → 253

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	336	5467
1	876	5149
2	3335	4803
3	4502	4797
4	4984	4797
5	4933	4797

prune340.0ms (3.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	248	5	253
Fresh	5	5	10
Picked	1	0	1
Done	0	0	0
Total	254	10	264

Error

0.0b

Counts

264 → 10

Alt Table

Status	Error	Program
	0.6b	(/.f64 1 (/.f64 (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (sin.f64 a) 1)) r))
	0.6b	(.f64 r (/.f64 (sin.f64 b) (log.f64 (exp.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
	0.3b	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))))
	0.4b	(.f64 r (/.f64 (sin.f64 b) (expm1.f64 (log1p.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))))
	0.4b	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 3)))))
	0.4b	(/.f64 r (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a)))
	0.9b	(.f64 (/.f64 r (.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)))))) (/.f64 (sin.f64 b) (cbrt.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))))
	28.1b	(/.f64 (.f64 (sqrt.f64 r) (.f64 (sin.f64 b) (sqrt.f64 r))) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b)))))
	0.5b	(.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))))))
	0.3b	(*.f64 r (/.f64 1 (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a))))

Compiler

Compiled 7415 to 1837 computations (75.2% saved)

regimes1.1s (10.6%)

Accuracy

Total 0.3b remaining (83.2%)

Threshold costs 0.3b (83.2%)

Counts

216 → 1

Compiler

Compiled 22232 to 11926 computations (46.4% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
4×	`+-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	16	46
1	28	46
2	36	46
3	40	46
4	41	46
5	41	46

end177.0ms (1.8%)

Compiler: Compiled 327 to 175 computations (46.5% saved)

Details

analyze1.5s (15.1%)

sample5.0s (50%)

simplify7.0ms (0.1%)

prune2.0ms (0%)

localize66.0ms (0.7%)

series62.0ms (0.6%)

rewrite13.0ms (0.1%)

simplify60.0ms (0.6%)

prune128.0ms (1.3%)

localize13.0ms (0.1%)

series140.0ms (1.4%)

rewrite21.0ms (0.2%)

simplify132.0ms (1.3%)

prune248.0ms (2.5%)

localize14.0ms (0.1%)

series193.0ms (1.9%)

rewrite10.0ms (0.1%)

simplify71.0ms (0.7%)

prune227.0ms (2.3%)

localize13.0ms (0.1%)

series235.0ms (2.4%)

rewrite37.0ms (0.4%)

simplify184.0ms (1.9%)

prune340.0ms (3.4%)

regimes1.1s (10.6%)

simplify4.0ms (0%)

end177.0ms (1.8%)

Profiling