Details

analyze1.0s (10.7%)

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)

sample61.0ms (0.6%)

Algorithm

1×

intervals

Results

27.0ms	99×	body	1024	valid
10.0ms	50×	body	512	valid
5.0ms	81×	body	128	valid
5.0ms	10×	body	2048	valid
2.0ms	16×	body	256	valid

Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify8.0ms (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 → 1

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

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

14.3b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	14.3b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))

Compiler

Compiled 36 to 24 computations (33.3% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.2b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
0.3b	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
3.9b	(cos.f64 (+.f64 a b))

rewrite95.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

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 → 67

Calls

3 calls:

7.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
4.0ms	(cos.f64 (+.f64 a b))
4.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))

Compiler

Compiled 1156 to 228 computations (80.3% saved)

series152.0ms (1.6%)

Error

12.8b

Counts

3 → 36

Calls

3 calls:

60.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
36.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
21.0ms	(cos.f64 (+.f64 a b))

Compiler

Compiled 1740 to 1043 computations (40.1% saved)

simplify101.0ms (1%)

Algorithm

1×	egg-herbie

Rules

487×	`associate-/r*_binary64`
383×	`associate-*l/_binary64`
360×	`associate-*r/_binary64`
291×	`associate-+l+_binary64`
271×	`unswap-sqr_binary64`

Counts

103 → 91

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	203	2257
1	515	2111
2	1870	2073
3	4689	2073
4	5118	2073

prune102.0ms (1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	80	11	91
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	81	11	92

Error

0.1b

Counts

92 → 11

Alt Table

Status	Error	Program
	38.6b	(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) 3))
	29.8b	(*.f64 r (/.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 b a)))) (sqrt.f64 (cos.f64 (+.f64 a b)))))
	14.4b	(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
	14.4b	(.f64 (.f64 (sin.f64 b) r) (/.f64 1 (cos.f64 (+.f64 a b))))
	29.8b	(*.f64 (/.f64 r (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 a b)))))
	14.7b	(.f64 (/.f64 r (.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) (cbrt.f64 (cos.f64 (+.f64 b a))))) (/.f64 (sin.f64 b) (cbrt.f64 (cos.f64 (+.f64 a b)))))
	15.0b	(.f64 (.f64 (cbrt.f64 r) (cbrt.f64 r)) (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (cbrt.f64 r)))
▶	0.3b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
	36.3b	(.f64 (.f64 r (sqrt.f64 (sin.f64 b))) (/.f64 (sqrt.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))))
	15.0b	(.f64 (.f64 r (*.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))) (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
	34.7b	(.f64 (sqrt.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)) (sqrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)))

Compiler

Compiled 1844 to 653 computations (64.6% saved)

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))
0.2b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.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 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))

rewrite188.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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 → 100

Calls

4 calls:

12.0ms	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
8.0ms	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))
5.0ms	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))
5.0ms	(*.f64 (sin.f64 b) (sin.f64 a))

Compiler

Compiled 2803 to 419 computations (85.1% saved)

series240.0ms (2.5%)

Error

0.1b

Counts

4 → 46

Calls

4 calls:

97.0ms	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
55.0ms	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))
29.0ms	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))
25.0ms	(*.f64 (sin.f64 b) (sin.f64 a))

Compiler

Compiled 2508 to 1459 computations (41.8% saved)

simplify144.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

331×	`associate-/r/_binary64`
264×	`associate-r_binary64`
251×	`associate-/l/_binary64`
249×	`cancel-sign-sub-inv_binary64`
237×	`associate-l_binary64`

Counts

146 → 126

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	277	4378
1	728	4079
2	2727	3753
3	4532	3753
4	4966	3753

prune162.0ms (1.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	117	9	126
Fresh	9	1	10
Picked	1	0	1
Done	0	0	0
Total	127	10	137

Error

Counts

137 → 10

Alt Table

Status	Error	Program
	0.4b	(.f64 (.f64 (sin.f64 b) r) (/.f64 1 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))))
	22.5b	(.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 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))))
	0.4b	(.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 b) (cos.f64 a)) (.f64 (sin.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 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))))
	1.2b	(.f64 r (.f64 (*.f64 (cbrt.f64 (/.f64 1 (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a)))) (cbrt.f64 (/.f64 1 (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a))))) (cbrt.f64 (/.f64 1 (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a))))))
	0.3b	(/.f64 r (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a)))
	1.1b	(.f64 (.f64 r (.f64 (cbrt.f64 (sin.f64 b)) (cbrt.f64 (sin.f64 b)))) (/.f64 (cbrt.f64 (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
▶	0.3b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (log.f64 (exp.f64 (*.f64 (sin.f64 a) (sin.f64 b)))))))
	30.2b	(.f64 (.f64 r (sqrt.f64 (/.f64 1 (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a))))) (sqrt.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))))
	34.7b	(.f64 (sqrt.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)) (sqrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)))

Compiler

Compiled 3321 to 999 computations (69.9% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (log.f64 (exp.f64 (*.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 b) (cos.f64 a)) (log.f64 (exp.f64 (.f64 (sin.f64 a) (sin.f64 b))))))
2.7b	(log.f64 (exp.f64 (*.f64 (sin.f64 a) (sin.f64 b))))

rewrite164.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

4 → 96

Calls

4 calls:

12.0ms	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (log.f64 (exp.f64 (.f64 (sin.f64 a) (sin.f64 b))))))
12.0ms	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (log.f64 (exp.f64 (*.f64 (sin.f64 a) (sin.f64 b)))))))
5.0ms	(*.f64 (sin.f64 a) (sin.f64 b))
2.0ms	(log.f64 (exp.f64 (*.f64 (sin.f64 a) (sin.f64 b))))

Compiler

Compiled 2831 to 420 computations (85.2% saved)

series314.0ms (3.2%)

Error

Counts

4 → 44

Calls

4 calls:

123.0ms	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (log.f64 (exp.f64 (*.f64 (sin.f64 a) (sin.f64 b)))))))
72.0ms	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (log.f64 (exp.f64 (.f64 (sin.f64 a) (sin.f64 b))))))
55.0ms	(log.f64 (exp.f64 (*.f64 (sin.f64 a) (sin.f64 b))))
22.0ms	(*.f64 (sin.f64 a) (sin.f64 b))

Compiler

Compiled 2647 to 1574 computations (40.5% saved)

simplify106.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

529×	`associate-/r*_binary64`
419×	`associate-*l/_binary64`
273×	`associate-/r/_binary64`
229×	`associate-r_binary64`
216×	`associate-/l/_binary64`

Counts

140 → 121

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	265	3930
1	637	3666
2	2335	3469
3	4969	3469

prune142.0ms (1.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	121	10	131

Error

Counts

131 → 10

Alt Table

Status	Error	Program
	0.4b	(.f64 (.f64 (sin.f64 b) r) (/.f64 1 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))))
	22.5b	(.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 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))))
	0.4b	(.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 b) (cos.f64 a)) (.f64 (sin.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 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))))
	1.2b	(.f64 r (.f64 (*.f64 (cbrt.f64 (/.f64 1 (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a)))) (cbrt.f64 (/.f64 1 (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a))))) (cbrt.f64 (/.f64 1 (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a))))))
▶	0.3b	(/.f64 r (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a)))
	1.1b	(.f64 (.f64 r (.f64 (cbrt.f64 (sin.f64 b)) (cbrt.f64 (sin.f64 b)))) (/.f64 (cbrt.f64 (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
✓	0.3b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (log.f64 (exp.f64 (*.f64 (sin.f64 a) (sin.f64 b)))))))
	30.2b	(.f64 (.f64 r (sqrt.f64 (/.f64 1 (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a))))) (sqrt.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))))
	34.7b	(.f64 (sqrt.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)) (sqrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)))

Compiler

Compiled 3306 to 957 computations (71.1% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a))
0.2b	(/.f64 (sin.f64 b) (cos.f64 b))
0.2b	(/.f64 r (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a)))
0.2b	(/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b)))

rewrite270.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

120×	`times-frac_binary64`
112×	`add-sqr-sqrt_binary64`
77×	`*-un-lft-identity_binary64`
67×	`add-cube-cbrt_binary64`
23×	`associate-/r*_binary64`

Counts

4 → 161

Calls

4 calls:

18.0ms	(-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a))
18.0ms	(/.f64 r (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a)))
7.0ms	(/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b)))
4.0ms	(/.f64 (sin.f64 b) (cos.f64 b))

Compiler

Compiled 3883 to 755 computations (80.6% saved)

series208.0ms (2.1%)

Error

Counts

4 → 42

Calls

4 calls:

94.0ms	(/.f64 r (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a)))
34.0ms	(/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b)))
32.0ms	(-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a))
9.0ms	(/.f64 (sin.f64 b) (cos.f64 b))

Compiler

Compiled 1890 to 1134 computations (40% saved)

simplify227.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

675×	`associate-/r*_binary64`
634×	`associate-/r/_binary64`
170×	`cancel-sign-sub-inv_binary64`
160×	`associate-/l/_binary64`
145×	`*-commutative_binary64`

Counts

203 → 134

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	368	5600
1	839	5410
2	2555	5380
3	4562	5372
4	4993	5372
5	4966	5372

prune149.0ms (1.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	132	2	134
Fresh	3	5	8
Picked	0	1	1
Done	0	1	1
Total	135	9	144

Error

Counts

144 → 9

Alt Table

Status	Error	Program
	0.4b	(.f64 (.f64 (sin.f64 b) r) (/.f64 1 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))))
	22.5b	(.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 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))))
	10.2b	(/.f64 r (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 (sin.f64 b) 2)) (pow.f64 (cos.f64 b) 2)) (pow.f64 (sin.f64 a) 2)) (+.f64 (.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (cos.f64 a)) (sin.f64 a))))
	0.4b	(.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 b) (cos.f64 a)) (.f64 (sin.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 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))))
	1.2b	(.f64 r (.f64 (*.f64 (cbrt.f64 (/.f64 1 (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a)))) (cbrt.f64 (/.f64 1 (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a))))) (cbrt.f64 (/.f64 1 (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a))))))
	0.3b	(/.f64 r (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a)))
	0.3b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (log.f64 (exp.f64 (*.f64 (sin.f64 a) (sin.f64 b)))))))
	30.1b	(/.f64 (/.f64 r (sqrt.f64 (-.f64 (*.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (cos.f64 a)) (sin.f64 a)))) (sqrt.f64 (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a))))

Compiler

Compiled 2710 to 733 computations (73% saved)

regimes3.6s (36.5%)

Accuracy

Total 0.3b remaining (85.5%)

Threshold costs 0.3b (85.5%)

Compiler

Compiled 56187 to 30749 computations (45.3% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	12	16
2	17	16
3	19	16
4	20	16
5	20	16

end1.0ms (0%)

Compiler: Compiled 13 to 9 computations (30.8% saved)

sample2.2s (23%)

Algorithm

1×

intervals

Results

1.0s	3455×	body	1024	valid
278.0ms	1392×	body	512	valid
170.0ms	2369×	body	128	valid
128.0ms	200×	body	2048	valid
81.0ms	584×	body	256	valid
0.0ms	1×	body	1024	invalid

Compiler

Compiled 320 to 183 computations (42.8% saved)

Details

analyze1.0s (10.7%)

sample61.0ms (0.6%)

simplify8.0ms (0.1%)

prune3.0ms (0%)

localize15.0ms (0.1%)

rewrite95.0ms (1%)

series152.0ms (1.6%)

simplify101.0ms (1%)

prune102.0ms (1%)

localize28.0ms (0.3%)

rewrite188.0ms (1.9%)

series240.0ms (2.5%)

simplify144.0ms (1.5%)

prune162.0ms (1.7%)

localize15.0ms (0.2%)

rewrite164.0ms (1.7%)

series314.0ms (3.2%)

simplify106.0ms (1.1%)

prune142.0ms (1.5%)

localize11.0ms (0.1%)

rewrite270.0ms (2.8%)

series208.0ms (2.1%)

simplify227.0ms (2.3%)

prune149.0ms (1.5%)

regimes3.6s (36.5%)

simplify3.0ms (0%)

end1.0ms (0%)

sample2.2s (23%)

Profiling