Details

analyze1.5s (13.9%)

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)

sample5.1s (46.2%)

Results

3.5s	3650×	body	1024	valid
619.0ms	1434×	body	512	valid
398.0ms	2360×	body	128	valid
311.0ms	222×	body	2048	valid
211.0ms	590×	body	256	valid
1.0ms	1×	body	1024	invalid
0.0ms	1×	body	256	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

16.4b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	16.4b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))

Compiler

Compiled 45 to 27 computations (40% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f64 b)
✓	0.1b	(*.f64 r (sin.f64 b))
✓	0.3b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
✓	3.4b	(cos.f64 (+.f64 a b))

series64.0ms (0.6%)

Counts

4 → 72

Calls

4 calls:

51.0ms	(/.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))
2.0ms	(sin.f64 b)

rewrite14.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 62

Calls

4 calls:

4.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
3.0ms	(cos.f64 (+.f64 a b))
3.0ms	(*.f64 r (sin.f64 b))
1.0ms	(sin.f64 b)

simplify105.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

610×	`fma-def_binary64`
517×	`associate-/r*_binary64`
321×	`associate-/l/_binary64`
308×	`associate-/r/_binary64`
229×	`fma-neg_binary64`

Counts

134 → 141

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	211	2116
1	553	1980
2	2079	1928
3	4702	1928
4	4998	1928
5	4962	1928

prune161.0ms (1.5%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	128	13	141
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	129	13	142

Error

0.2b

Counts

142 → 13

Alt Table

Status	Error	Program
	16.7b	(.f64 (/.f64 r (.f64 (cbrt.f64 (cos.f64 (+.f64 a b))) (cbrt.f64 (cos.f64 (+.f64 a b))))) (/.f64 (sin.f64 b) (cbrt.f64 (cos.f64 (+.f64 a b)))))
	32.9b	(/.f64 (.f64 r (sin.f64 b)) (.f64 (sqrt.f64 (cos.f64 (+.f64 a b))) (sqrt.f64 (cos.f64 (+.f64 a b)))))
	38.9b	(/.f64 (.f64 (sqrt.f64 r) (.f64 (sqrt.f64 r) (sin.f64 b))) (cos.f64 (+.f64 a b)))
	35.5b	(.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)))))
	16.5b	(/.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)))))
	17.0b	(.f64 (.f64 (cbrt.f64 (/.f64 (.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))) (cbrt.f64 (/.f64 (.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))))) (cbrt.f64 (/.f64 (*.f64 r (sin.f64 b)) (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))))
	40.0b	(cbrt.f64 (.f64 (.f64 (/.f64 (.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (/.f64 (.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))))
	16.4b	(/.f64 (*.f64 r (sin.f64 b)) (expm1.f64 (log1p.f64 (cos.f64 (+.f64 a b)))))
	31.9b	(fma.f64 (/.f64 b (cos.f64 a)) r (/.f64 (.f64 (sin.f64 a) (.f64 b (*.f64 b r))) (pow.f64 (cos.f64 a) 2)))
	31.0b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 b (+.f64 (sin.f64 a) (.f64 (.f64 1/2 (cos.f64 a)) b)))))
	16.5b	(/.f64 (*.f64 r (sin.f64 b)) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 a b)))))
	32.9b	(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)))))

Compiler

Compiled 3154 to 1140 computations (63.9% saved)

localize25.0ms (0.2%)

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))
✓	0.3b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))

series161.0ms (1.5%)

Counts

3 → 64

Calls

3 calls:

132.0ms

(/.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)))

12.0ms

(*.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))))

6.0ms

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

4.0ms

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

simplify141.0ms (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

prune294.0ms (2.7%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	182	12	194
Fresh	11	1	12
Picked	1	0	1
Done	0	0	0
Total	194	13	207

Error

0.0b

Counts

207 → 13

Alt Table

Status	Error	Program
	0.7b	(/.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 r (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))) (sin.f64 b)))
	0.5b	(/.f64 (.f64 r (sin.f64 b)) (log1p.f64 (expm1.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))
	0.5b	(.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))))
	0.9b	(.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))))))
	16.4b	(/.f64 (*.f64 r (sin.f64 b)) (expm1.f64 (log1p.f64 (cos.f64 (+.f64 a b)))))
	24.8b	(/.f64 (.f64 r (sin.f64 b)) (.f64 (sqrt.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))) (sqrt.f64 (-.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)) (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 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (.f64 (sin.f64 a) (sin.f64 b)))))
	0.5b	(/.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)))))
	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)))))
	1.3b	(.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))))))
▶	0.3b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))

Compiler

Compiled 5661 to 1587 computations (72% saved)

localize15.0ms (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 b) (sin.f64 a)))
✓	0.2b	(*.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) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))

series207.0ms (1.9%)

Counts

4 → 76

Calls

4 calls:

112.0ms	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
68.0ms	(/.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 (0.3%)

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:

12.0ms	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
9.0ms	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
5.0ms	(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
4.0ms	(*.f64 (sin.f64 b) (sin.f64 a))

simplify188.0ms (1.7%)

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

prune363.0ms (3.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	248	5	253
Fresh	4	8	12
Picked	1	0	1
Done	0	0	0
Total	253	13	266

Error

0.0b

Counts

266 → 13

Alt Table

Status	Error	Program
	0.7b	(/.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 r (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))) (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))))))
	0.4b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) 3)))))
	0.5b	(.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 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) (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) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (.f64 (sin.f64 a) (sin.f64 b)))) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (sin.f64 a) (sin.f64 b))))))
	1.3b	(.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))))))
	16.4b	(/.f64 (*.f64 r (sin.f64 b)) (expm1.f64 (log1p.f64 (cos.f64 (+.f64 a b)))))
	24.8b	(/.f64 (.f64 r (sin.f64 b)) (.f64 (sqrt.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (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 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (log.f64 (exp.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))))
	0.4b	(.f64 r (/.f64 (sin.f64 b) (log1p.f64 (expm1.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))))

Compiler

Compiled 7878 to 2070 computations (73.7% saved)

localize13.0ms (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 b) (sin.f64 a))))
	0.2b	(*.f64 (sin.f64 b) (sin.f64 a))
✓	0.2b	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))))
✓	0.2b	(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))

series194.0ms (1.8%)

Counts

3 → 84

Calls

3 calls:

112.0ms

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

66.0ms

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

16.0ms

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

rewrite16.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 73

Calls

3 calls:

7.0ms

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

3.0ms

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

0.0ms

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

simplify138.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

710×	`fma-def_binary64`
566×	`associate-/r*_binary64`
285×	`associate-/r/_binary64`
240×	`associate-/l/_binary64`
198×	`associate-r_binary64`

Counts

157 → 178

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	250	4914
1	627	4622
2	2343	4559
3	4940	4558
4	4984	4558

prune307.0ms (2.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	223	2	225
Fresh	2	10	12
Picked	1	0	1
Done	0	0	0
Total	226	12	238

Error

0.0b

Counts

238 → 12

Alt Table

Status	Error	Program
	0.7b	(/.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 r (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))) (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))))))
	0.4b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) 3)))))
	0.5b	(.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))))
	1.0b	(.f64 r (.f64 (/.f64 1 (.f64 (cbrt.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))) (cbrt.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))))) (/.f64 (sin.f64 b) (cbrt.f64 (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) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (.f64 (sin.f64 a) (sin.f64 b)))) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (sin.f64 a) (sin.f64 b))))))
	1.3b	(.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 r (/.f64 (sin.f64 b) (expm1.f64 (log1p.f64 (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) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (log.f64 (exp.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))))
	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)))))
	24.8b	(/.f64 (.f64 r (sin.f64 b)) (.f64 (sqrt.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))) (sqrt.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))))

Compiler

Compiled 6601 to 1655 computations (74.9% saved)

regimes1.7s (15.5%)

Accuracy

Total 0.3b remaining (83.8%)

Threshold costs 0.3b (83.8%)

Counts

339 → 1

Compiler

Compiled 33052 to 18594 computations (43.7% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`*-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	16	26
1	28	26
2	36	26
3	41	26
4	43	26
5	41	26

end212.0ms (1.9%)

Compiler: Compiled 417 to 208 computations (50.1% saved)

Details

analyze1.5s (13.9%)

sample5.1s (46.2%)

simplify7.0ms (0.1%)

prune2.0ms (0%)

localize8.0ms (0.1%)

series64.0ms (0.6%)

rewrite14.0ms (0.1%)

simplify105.0ms (0.9%)

prune161.0ms (1.5%)

localize25.0ms (0.2%)

series161.0ms (1.5%)

rewrite21.0ms (0.2%)

simplify141.0ms (1.3%)

prune294.0ms (2.7%)

localize15.0ms (0.1%)

series207.0ms (1.9%)

rewrite37.0ms (0.3%)

simplify188.0ms (1.7%)

prune363.0ms (3.3%)

localize13.0ms (0.1%)

series194.0ms (1.8%)

rewrite16.0ms (0.1%)

simplify138.0ms (1.2%)

prune307.0ms (2.8%)

regimes1.7s (15.5%)

simplify3.0ms (0%)

end212.0ms (1.9%)

Profiling