Details

analyze1.2s (12.9%)

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)

sample60.0ms (0.7%)

Algorithm

1×

intervals

Results

29.0ms	109×	body	1024	valid
8.0ms	43×	body	512	valid
5.0ms	77×	body	128	valid
3.0ms	22×	body	256	valid
2.0ms	5×	body	2048	valid

Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_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

prune8.0ms (0.1%)

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

13.9b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	13.9b	(/.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)))
4.5b	(cos.f64 (+.f64 a b))

rewrite62.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

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 → 47

Calls

3 calls:

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

Compiler

Compiled 706 to 152 computations (78.5% saved)

series115.0ms (1.2%)

Error

12.7b

Counts

3 → 30

Calls

3 calls:

61.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
18.0ms	(cos.f64 (+.f64 a b))
16.0ms	(*.f64 r (sin.f64 b))

Compiler

Compiled 1222 to 731 computations (40.2% saved)

simplify93.0ms (1%)

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

prune65.0ms (0.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	47	11	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	11	59

Error

0.1b

Counts

59 → 11

Alt Table

Status	Error	Program
	14.1b	(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (exp.f64 (cos.f64 (+.f64 b a)))))
	14.3b	(/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))
	14.0b	(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
	13.9b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
▶	0.3b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
	33.1b	(+.f64 (/.f64 (.f64 b r) (cos.f64 a)) (+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 b (.f64 b r))) (pow.f64 (cos.f64 a) 2)) (.f64 (/.f64 (.f64 r (pow.f64 b 3)) (cos.f64 a)) (+.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 2)) 1/3))))
	14.0b	(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (cos.f64 (+.f64 b a))))
	14.3b	(.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)))))
	30.0b	(/.f64 (.f64 r (sin.f64 b)) (.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) (sqrt.f64 (cos.f64 (+.f64 b a)))))
	14.1b	(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 3)))
	36.3b	(.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)))))

Compiler

Compiled 1099 to 439 computations (60.1% saved)

localize13.0ms (0.1%)

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

rewrite145.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`add-sqr-sqrt_binary64`
13×	`add-cbrt-cube_binary64`
13×	`add-exp-log_binary64`
10×	`*-un-lft-identity_binary64`
10×	`add-cube-cbrt_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)

series195.0ms (2.1%)

Error

0.1b

Counts

4 → 38

Calls

4 calls:

100.0ms	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
31.0ms	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))
22.0ms	(*.f64 (sin.f64 b) (sin.f64 a))
20.0ms	(*.f64 r (sin.f64 b))

Compiler

Compiled 1919 to 1100 computations (42.7% saved)

simplify129.0ms (1.4%)

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

prune88.0ms (1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	59	11	70
Fresh	9	1	10
Picked	1	0	1
Done	0	0	0
Total	69	12	81

Error

0.0b

Counts

81 → 12

Alt Table

Status	Error	Program
	0.7b	(/.f64 1 (/.f64 (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a)) r))
	0.5b	(.f64 (/.f64 (.f64 (sin.f64 b) r) (-.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) 3) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 3))) (+.f64 (.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))) (+.f64 (.f64 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))))
	28.6b	(.f64 (sqrt.f64 (/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a)))) (sqrt.f64 (/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a)))))
▶	0.4b	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (-.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)))))
	1.3b	(.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)))))
	31.2b	(/.f64 (.f64 (sqrt.f64 r) (.f64 (sin.f64 b) (sqrt.f64 r))) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))
	0.6b	(/.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)))
	1.2b	(/.f64 (.f64 (.f64 (cbrt.f64 r) (cbrt.f64 r)) (.f64 (sin.f64 b) (cbrt.f64 r))) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
	1.3b	(/.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))))
	14.1b	(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (exp.f64 (cos.f64 (+.f64 b a)))))
	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)))))
	0.5b	(.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 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))

Compiler

Compiled 1958 to 673 computations (65.6% saved)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(pow.f64 (cos.f64 a) 2)
0.3b	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (-.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)))))
0.3b	(pow.f64 (cos.f64 b) 2)
0.4b	(/.f64 (-.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))))

rewrite367.0ms (4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

43×	`times-frac_binary64`
30×	`*-un-lft-identity_binary64`
30×	`add-sqr-sqrt_binary64`
30×	`add-cube-cbrt_binary64`
20×	`add-exp-log_binary64`

Counts

4 → 121

Calls

4 calls:

16.0ms	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (-.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)))))
13.0ms	(/.f64 (-.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))))
2.0ms	(pow.f64 (cos.f64 b) 2)
2.0ms	(pow.f64 (cos.f64 a) 2)

Compiler

Compiled 6860 to 2713 computations (60.5% saved)

series368.0ms (4%)

Error

0.0b

Counts

4 → 33

Calls

4 calls:

222.0ms	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (-.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)))))
86.0ms	(/.f64 (-.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))))
14.0ms	(pow.f64 (cos.f64 a) 2)
11.0ms	(pow.f64 (cos.f64 b) 2)

Compiler

Compiled 2695 to 1546 computations (42.6% saved)

simplify335.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

274×	`unswap-sqr_binary64`
245×	`associate-/l*_binary64`
225×	`associate-l_binary64`
219×	`associate-r_binary64`
209×	`cancel-sign-sub-inv_binary64`

Counts

154 → 123

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	303	8127
1	793	7291
2	3273	6468
3	4847	6468
4	4975	6468

prune234.0ms (2.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	116	7	123
Fresh	6	5	11
Picked	1	0	1
Done	0	0	0
Total	123	12	135

Error

0.0b

Counts

135 → 12

Alt Table

Status	Error	Program
	0.7b	(/.f64 1 (/.f64 (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a)) r))
	0.5b	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (-.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 a) 6)) (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)))))
	0.6b	(.f64 (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) 3) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 3)) (/.f64 r (-.f64 (.f64 (pow.f64 (cos.f64 b) 2) (pow.f64 (cos.f64 a) 2)) (.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (sin.f64 a) 2))))) (/.f64 (sin.f64 b) (+.f64 (.f64 (pow.f64 (cos.f64 b) 2) (pow.f64 (cos.f64 a) 2)) (.f64 (sin.f64 b) (.f64 (sin.f64 a) (-.f64 (.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))))))
	28.6b	(.f64 (sqrt.f64 (/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a)))) (sqrt.f64 (/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a)))))
	0.6b	(/.f64 (.f64 r (sin.f64 b)) (log.f64 (exp.f64 (/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 b) 2) (pow.f64 (cos.f64 a) 2)) (.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (sin.f64 a) 2))) (+.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))))
	31.2b	(/.f64 (.f64 (sqrt.f64 r) (.f64 (sin.f64 b) (sqrt.f64 r))) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))
▶	0.4b	(/.f64 (sin.f64 b) (.f64 1 (/.f64 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) r)))
	0.6b	(/.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)))
	0.5b	(/.f64 r (/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 b) 2) (pow.f64 (cos.f64 a) 2)) (.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (sin.f64 a) 2))) (.f64 (sin.f64 b) (+.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))))
	1.1b	(/.f64 (.f64 (/.f64 r (.f64 (cbrt.f64 (-.f64 (.f64 (pow.f64 (cos.f64 b) 2) (pow.f64 (cos.f64 a) 2)) (.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (sin.f64 a) 2)))) (cbrt.f64 (-.f64 (.f64 (pow.f64 (cos.f64 b) 2) (pow.f64 (cos.f64 a) 2)) (.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (sin.f64 a) 2)))))) (sin.f64 b)) (/.f64 (cbrt.f64 (-.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 (/.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)))))
	0.8b	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 (cos.f64 b) 2)) 3) (pow.f64 (.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (sin.f64 b) 2)) 3)) (.f64 (+.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))) (+.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) 4) (+.f64 (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 4) (.f64 (.f64 (pow.f64 (cos.f64 b) 2) (pow.f64 (cos.f64 a) 2)) (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (sin.f64 a) 2))))))))

Compiler

Compiled 5728 to 2397 computations (58.2% saved)

localize14.0ms (0.2%)

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 (sin.f64 b) (sin.f64 a))
0.2b	(/.f64 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))) r)
0.3b	(/.f64 (sin.f64 b) (.f64 1 (/.f64 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) r)))

rewrite196.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

22×	`add-exp-log_binary64`
18×	`add-sqr-sqrt_binary64`
17×	`add-cbrt-cube_binary64`
16×	`*-un-lft-identity_binary64`
16×	`add-cube-cbrt_binary64`

Counts

4 → 91

Calls

4 calls:

11.0ms	(/.f64 (sin.f64 b) (.f64 1 (/.f64 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) r)))
8.0ms	(/.f64 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))) r)
6.0ms	(-.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 2561 to 595 computations (76.8% saved)

series266.0ms (2.9%)

Error

0.0b

Counts

4 → 44

Calls

4 calls:

103.0ms	(/.f64 (sin.f64 b) (.f64 1 (/.f64 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) r)))
66.0ms	(/.f64 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))) r)
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))

Compiler

Compiled 2305 to 1388 computations (39.8% saved)

simplify166.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

480×	`associate-/r*_binary64`
406×	`associate-/r/_binary64`
348×	`associate-/l/_binary64`
174×	`distribute-rgt-neg-in_binary64`
170×	`cancel-sign-sub-inv_binary64`

Counts

135 → 113

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	243	3552
1	619	3210
2	2023	3144
3	4804	3144
4	4989	3144
5	4996	3144

prune162.0ms (1.8%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	110	3	113
Fresh	2	9	11
Picked	0	1	1
Done	0	0	0
Total	112	13	125

Error

0.0b

Counts

125 → 13

Alt Table

Status	Error	Program
	0.7b	(/.f64 1 (/.f64 (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a)) r))
	0.5b	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (-.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 a) 6)) (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)))))
	0.6b	(.f64 (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) 3) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 3)) (/.f64 r (-.f64 (.f64 (pow.f64 (cos.f64 b) 2) (pow.f64 (cos.f64 a) 2)) (.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (sin.f64 a) 2))))) (/.f64 (sin.f64 b) (+.f64 (.f64 (pow.f64 (cos.f64 b) 2) (pow.f64 (cos.f64 a) 2)) (.f64 (sin.f64 b) (.f64 (sin.f64 a) (-.f64 (.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))))))
	1.4b	(/.f64 (sin.f64 b) (.f64 1 (.f64 (/.f64 (.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 (cbrt.f64 r) (cbrt.f64 r))) (/.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))) (cbrt.f64 r)))))
	0.6b	(/.f64 (.f64 r (sin.f64 b)) (log.f64 (exp.f64 (/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 b) 2) (pow.f64 (cos.f64 a) 2)) (.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (sin.f64 a) 2))) (+.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))))
	31.2b	(/.f64 (.f64 (sqrt.f64 r) (.f64 (sin.f64 b) (sqrt.f64 r))) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))
	0.4b	(/.f64 (sin.f64 b) (.f64 1 (/.f64 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) r)))
	0.6b	(/.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)))
	0.5b	(/.f64 r (/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 b) 2) (pow.f64 (cos.f64 a) 2)) (.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (sin.f64 a) 2))) (.f64 (sin.f64 b) (+.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))))
	0.5b	(/.f64 (sin.f64 b) (.f64 1 (-.f64 (.f64 (/.f64 (cos.f64 a) r) (cos.f64 b)) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r))))
	1.1b	(/.f64 (.f64 (/.f64 r (.f64 (cbrt.f64 (-.f64 (.f64 (pow.f64 (cos.f64 b) 2) (pow.f64 (cos.f64 a) 2)) (.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (sin.f64 a) 2)))) (cbrt.f64 (-.f64 (.f64 (pow.f64 (cos.f64 b) 2) (pow.f64 (cos.f64 a) 2)) (.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (sin.f64 a) 2)))))) (sin.f64 b)) (/.f64 (cbrt.f64 (-.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)))))
	0.8b	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 (cos.f64 b) 2)) 3) (pow.f64 (.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (sin.f64 b) 2)) 3)) (.f64 (+.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))) (+.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) 4) (+.f64 (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 4) (.f64 (.f64 (pow.f64 (cos.f64 b) 2) (pow.f64 (cos.f64 a) 2)) (*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (sin.f64 a) 2))))))))
	0.3b	(.f64 (sin.f64 b) (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))

Compiler

Compiled 2586 to 840 computations (67.5% saved)

regimes2.5s (27.3%)

Accuracy

Total 0.3b remaining (90%)

Threshold costs 0.3b (90%)

Compiler

Compiled 48445 to 26929 computations (44.4% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
4×	`+-commutative_binary64`
4×	`distribute-rgt-neg-in_binary64`
4×	`cancel-sign-sub-inv_binary64`
4×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	27	26
2	37	26
3	42	26
4	47	26
5	49	26
6	47	26

end1.0ms (0%)

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

sample2.4s (25.9%)

Algorithm

1×

intervals

Results

1.0s	3503×	body	1024	valid
276.0ms	1343×	body	512	valid
159.0ms	2292×	body	128	valid
123.0ms	204×	body	2048	valid
90.0ms	658×	body	256	valid

Compiler

Compiled 568 to 337 computations (40.7% saved)

Details

analyze1.2s (12.9%)

sample60.0ms (0.7%)

simplify9.0ms (0.1%)

prune8.0ms (0.1%)

localize8.0ms (0.1%)

rewrite62.0ms (0.7%)

series115.0ms (1.2%)

simplify93.0ms (1%)

prune65.0ms (0.7%)

localize13.0ms (0.1%)

rewrite145.0ms (1.6%)

series195.0ms (2.1%)

simplify129.0ms (1.4%)

prune88.0ms (1%)

localize24.0ms (0.3%)

rewrite367.0ms (4%)

series368.0ms (4%)

simplify335.0ms (3.6%)

prune234.0ms (2.5%)

localize14.0ms (0.2%)

rewrite196.0ms (2.1%)

series266.0ms (2.9%)

simplify166.0ms (1.8%)

prune162.0ms (1.8%)

regimes2.5s (27.3%)

simplify5.0ms (0%)

end1.0ms (0%)

sample2.4s (25.9%)

Profiling