Details

analyze1.2s (15.8%)

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)

sample73.0ms (1%)

Algorithm

1×

intervals

Results

32.0ms	111×	body	1024	valid
11.0ms	79×	body	128	valid
8.0ms	41×	body	512	valid
7.0ms	10×	body	2048	valid
2.0ms	15×	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-/r/_binary64` `associate-/l*_binary64`
1×	`+-commutative_binary64`

Counts

1 → 1

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

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

11.6b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	11.6b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))

Compiler

Compiled 36 to 24 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b	(*.f64 r (sin.f64 b))
0.2b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
3.1b	(cos.f64 (+.f64 a b))

rewrite65.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-sqr-sqrt_binary64`
7×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
5×	`pow1_binary64`
3×	`add-log-exp_binary64` `times-frac_binary64` `associate-/r_binary64` `associate-l_binary64` `associate-r*_binary64`

Counts

3 → 47

Calls

3 calls:

5.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
4.0ms	(*.f64 r (sin.f64 b))
4.0ms	(cos.f64 (+.f64 a b))

Compiler

Compiled 706 to 152 computations (78.5% saved)

series115.0ms (1.5%)

Error

10.5b

Counts

3 → 30

Calls

3 calls:

62.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
20.0ms	(cos.f64 (+.f64 a b))
17.0ms	(*.f64 r (sin.f64 b))

Compiler

Compiled 1222 to 731 computations (40.2% saved)

simplify93.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

475×	`associate-l_binary64`
470×	`associate-r_binary64`
377×	`associate-/r*_binary64`
321×	`associate-*l/_binary64`
262×	`associate-/l/_binary64`

Counts

77 → 58

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	132	1213
1	336	1091
2	1210	1073
3	4327	1073
4	4769	1073
5	5020	1073

prune61.0ms (0.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	49	9	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	9	59

Error

0.1b

Counts

59 → 9

Alt Table

Status	Error	Program
	11.8b	(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 3)))
▶	0.3b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
	11.6b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
	11.7b	(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
	32.9b	(.f64 (sqrt.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))) (sqrt.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))))
	11.7b	(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (cos.f64 (+.f64 b a))))
	32.3b	(*.f64 (/.f64 r (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 b a)))))
	12.3b	(.f64 (.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))) (cbrt.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))))) (cbrt.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))))
	12.0b	(.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 b a)))))

Compiler

Compiled 1025 to 369 computations (64% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite152.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`add-sqr-sqrt_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
8×	`pow1_binary64`
6×	`add-log-exp_binary64` `associate-l_binary64` `associate-r_binary64`

Counts

4 → 76

Calls

4 calls:

9.0ms	(/.f64 (.f64 r (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))
4.0ms	(*.f64 r (sin.f64 b))

Compiler

Compiled 1877 to 293 computations (84.4% saved)

series201.0ms (2.7%)

Error

0.1b

Counts

4 → 38

Calls

4 calls:

104.0ms	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
34.0ms	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))
23.0ms	(*.f64 (sin.f64 b) (sin.f64 a))
19.0ms	(*.f64 r (sin.f64 b))

Compiler

Compiled 1919 to 1100 computations (42.7% saved)

simplify125.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

511×	`associate-/r*_binary64`
338×	`associate-*l/_binary64`
328×	`associate-/l/_binary64`
308×	`associate-/r/_binary64`
191×	`distribute-rgt-neg-in_binary64`

Counts

114 → 70

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	192	2488
1	512	2264
2	1939	2065
3	4739	2065
4	4984	2065
5	4961	2065

prune81.0ms (1.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	61	9	70
Fresh	7	1	8
Picked	1	0	1
Done	0	0	0
Total	69	10	79

Error

0.0b

Counts

79 → 10

Alt Table

Status	Error	Program
	0.4b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3))))
▶	0.4b	(/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a)))
	27.3b	(/.f64 (.f64 (/.f64 r (sqrt.f64 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))) (sin.f64 b)) (sqrt.f64 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
	0.5b	(/.f64 (.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) 3)))
	0.9b	(/.f64 (.f64 (/.f64 r (.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))) (cbrt.f64 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))))) (sin.f64 b)) (cbrt.f64 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))))
	0.7b	(/.f64 1 (/.f64 (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a)) r))
	1.2b	(.f64 (.f64 (cbrt.f64 (/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a)))) (cbrt.f64 (/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a))))) (cbrt.f64 (/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a)))))
	1.2b	(/.f64 (.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) (cbrt.f64 (.f64 (sin.f64 b) r))) (cbrt.f64 (.f64 (sin.f64 b) r))) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
	11.7b	(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (cos.f64 (+.f64 b a))))
	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 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))

Compiler

Compiled 1742 to 577 computations (66.9% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (cos.f64 b) (cos.f64 a))
0.1b	(-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a))
0.2b	(/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a)))
0.3b	(/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b))

rewrite157.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

31×	`add-sqr-sqrt_binary64`
29×	`*-un-lft-identity_binary64`
19×	`add-cube-cbrt_binary64`
18×	`times-frac_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`

Counts

4 → 94

Calls

4 calls:

9.0ms	(/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a)))
7.0ms	(-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a))
5.0ms	(/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b))
4.0ms	(*.f64 (cos.f64 b) (cos.f64 a))

Compiler

Compiled 2037 to 382 computations (81.2% saved)

series227.0ms (3%)

Error

0.0b

Counts

4 → 39

Calls

4 calls:

104.0ms	(/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a)))
39.0ms	(-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a))
32.0ms	(/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b))
24.0ms	(*.f64 (cos.f64 b) (cos.f64 a))

Compiler

Compiled 1690 to 1045 computations (38.2% saved)

simplify149.0ms (2%)

Algorithm

1×	egg-herbie

Rules

502×	`associate-/r*_binary64`
390×	`associate-/l/_binary64`
378×	`associate-*l/_binary64`
308×	`*-commutative_binary64`
297×	`associate-/r/_binary64`

Counts

133 → 106

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	219	3031
1	514	2864
2	1645	2843
3	4487	2840
4	4995	2840
5	4961	2840

prune116.0ms (1.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	102	4	106
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	104	12	116

Error

0.0b

Counts

116 → 12

Alt Table

Status	Error	Program
	0.4b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3))))
	1.2b	(/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 a) (/.f64 (cos.f64 b) (.f64 (cbrt.f64 (sin.f64 b)) (cbrt.f64 (sin.f64 b))))) (cbrt.f64 (sin.f64 b))) (sin.f64 a)))
	0.5b	(/.f64 (.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) 3)))
	0.9b	(/.f64 (.f64 (/.f64 r (.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))) (cbrt.f64 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))))) (sin.f64 b)) (cbrt.f64 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))))
	0.6b	(/.f64 r (-.f64 (/.f64 (log.f64 (exp.f64 (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (sin.f64 a)))
▶	0.3b	(/.f64 r (-.f64 (*.f64 (cos.f64 b) (/.f64 (cos.f64 a) (sin.f64 b))) (sin.f64 a)))
	13.0b	(/.f64 r (-.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) 3)) (sin.f64 a)))
	0.7b	(/.f64 1 (/.f64 (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a)) r))
	1.2b	(.f64 (.f64 (cbrt.f64 (/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a)))) (cbrt.f64 (/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a))))) (cbrt.f64 (/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a)))))
	1.2b	(/.f64 (.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) (cbrt.f64 (.f64 (sin.f64 b) r))) (cbrt.f64 (.f64 (sin.f64 b) r))) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
	11.7b	(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (cos.f64 (+.f64 b a))))
	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 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))

Compiler

Compiled 2283 to 709 computations (68.9% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite175.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

34×	`add-sqr-sqrt_binary64`
29×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
28×	`times-frac_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-r_binary64`
6×	`pow1_binary64` `add-log-exp_binary64` `associate-/l_binary64` `associate-/r_binary64`

Counts

4 → 102

Calls

4 calls:

8.0ms	(/.f64 r (-.f64 (*.f64 (cos.f64 b) (/.f64 (cos.f64 a) (sin.f64 b))) (sin.f64 a)))
7.0ms	(*.f64 (cos.f64 b) (/.f64 (cos.f64 a) (sin.f64 b)))
6.0ms	(-.f64 (*.f64 (cos.f64 b) (/.f64 (cos.f64 a) (sin.f64 b))) (sin.f64 a))
4.0ms	(/.f64 (cos.f64 a) (sin.f64 b))

Compiler

Compiled 2307 to 457 computations (80.2% saved)

series219.0ms (2.9%)

Error

0.0b

Counts

4 → 39

Calls

4 calls:

102.0ms	(/.f64 r (-.f64 (*.f64 (cos.f64 b) (/.f64 (cos.f64 a) (sin.f64 b))) (sin.f64 a)))
37.0ms	(-.f64 (*.f64 (cos.f64 b) (/.f64 (cos.f64 a) (sin.f64 b))) (sin.f64 a))
33.0ms	(*.f64 (cos.f64 b) (/.f64 (cos.f64 a) (sin.f64 b)))
25.0ms	(/.f64 (cos.f64 a) (sin.f64 b))

Compiler

Compiled 1727 to 1058 computations (38.7% saved)

simplify179.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

422×	`associate-/r*_binary64`
390×	`associate-*l/_binary64`
369×	`associate-*r/_binary64`
313×	`*-commutative_binary64`
286×	`unswap-sqr_binary64`

Counts

141 → 77

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	227	3094
1	527	2925
2	1631	2908
3	4127	2905
4	4837	2905
5	4971	2905
6	4943	2905

prune89.0ms (1.2%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	76	1	77
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	76	13	89

Error

0.0b

Counts

89 → 13

Alt Table

Status	Error	Program
	0.4b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3))))
	1.2b	(/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 a) (/.f64 (cos.f64 b) (.f64 (cbrt.f64 (sin.f64 b)) (cbrt.f64 (sin.f64 b))))) (cbrt.f64 (sin.f64 b))) (sin.f64 a)))
	0.5b	(/.f64 (.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) 3)))
	0.9b	(/.f64 (.f64 (/.f64 r (.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))) (cbrt.f64 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))))) (sin.f64 b)) (cbrt.f64 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))))
	0.6b	(/.f64 r (-.f64 (/.f64 (log.f64 (exp.f64 (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (sin.f64 a)))
	0.3b	(/.f64 r (-.f64 (*.f64 (cos.f64 b) (/.f64 (cos.f64 a) (sin.f64 b))) (sin.f64 a)))
	13.0b	(/.f64 r (-.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) 3)) (sin.f64 a)))
	12.9b	(/.f64 r (-.f64 (*.f64 (cos.f64 b) (cbrt.f64 (pow.f64 (/.f64 (cos.f64 a) (sin.f64 b)) 3))) (sin.f64 a)))
	0.7b	(/.f64 1 (/.f64 (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a)) r))
	1.2b	(.f64 (.f64 (cbrt.f64 (/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a)))) (cbrt.f64 (/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a))))) (cbrt.f64 (/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a)))))
	1.2b	(/.f64 (.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) (cbrt.f64 (.f64 (sin.f64 b) r))) (cbrt.f64 (.f64 (sin.f64 b) r))) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
	11.7b	(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (cos.f64 (+.f64 b a))))
	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 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))

Compiler

Compiled 1835 to 526 computations (71.3% saved)

regimes1.6s (21.8%)

Accuracy

Total 0.3b remaining (86.6%)

Threshold costs 0.3b (86.6%)

Compiler

Compiled 26310 to 14692 computations (44.2% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
4×	`sub-neg_binary64` `+-commutative_binary64`
3×	`neg-mul-1_binary64` `neg-sub0_binary64`
2×	`cancel-sign-sub-inv_binary64` `distribute-rgt-neg-in_binary64`
1×	`1-exp_binary64` `/-rgt-identity_binary64` `distribute-lft-neg-out_binary64` `distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	25	26
2	34	26
3	40	26
4	44	26
5	45	26
6	44	26

end1.0ms (0%)

Compiler: Compiled 19 to 12 computations (36.8% saved)

sample2.3s (31.2%)

Algorithm

1×

intervals

Results

1.0s	3506×	body	1024	valid
281.0ms	1297×	body	512	valid
181.0ms	2422×	body	128	valid
116.0ms	181×	body	2048	valid
85.0ms	594×	body	256	valid
0.0ms	1×	body	1024	invalid

Compiler

Compiled 372 to 211 computations (43.3% saved)

Details

analyze1.2s (15.8%)

sample73.0ms (1%)

simplify8.0ms (0.1%)

prune3.0ms (0%)

localize8.0ms (0.1%)

rewrite65.0ms (0.9%)

series115.0ms (1.5%)

simplify93.0ms (1.2%)

prune61.0ms (0.8%)

localize15.0ms (0.2%)

rewrite152.0ms (2%)

series201.0ms (2.7%)

simplify125.0ms (1.7%)

prune81.0ms (1.1%)

localize14.0ms (0.2%)

rewrite157.0ms (2.1%)

series227.0ms (3%)

simplify149.0ms (2%)

prune116.0ms (1.5%)

localize11.0ms (0.2%)

rewrite175.0ms (2.3%)

series219.0ms (2.9%)

simplify179.0ms (2.4%)

prune89.0ms (1.2%)

regimes1.6s (21.8%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample2.3s (31.2%)

Profiling