Details

analyze2.1s (11.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	56
1	66	56
0	3	3
1	3	3

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 10 to 9 computations (10% saved)

sample120.0ms (0.7%)

Algorithm

1×

intervals

Results

66.0ms	113×	body	1024	valid
15.0ms	43×	body	512	valid
9.0ms	76×	body	128	valid
9.0ms	5×	body	2048	valid
5.0ms	19×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	21	14
1	21	14

prune5.0ms (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

12.8b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize17.0ms (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)))
2.3b	(cos.f64 (+.f64 a b))

rewrite31.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
9×	`add-sqr-sqrt_binary64_441`
7×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
5×	`pow1_binary64_480`
3×	`times-frac_binary64_425` `add-log-exp_binary64_458` `associate-r_binary64_359` `associate-l_binary64_360` `associate-/r*_binary64_363`
2×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452` `div-exp_binary64_470` `cbrt-undiv_binary64_453`
1×	`pow-prod-down_binary64_490` `clear-num_binary64_418` `cos-sum_binary64_553` `div-inv_binary64_416` `unswap-sqr_binary64_387` `-commutative_binary64_350` `frac-2neg_binary64_430` `associate-/l_binary64_364`

Counts

3 → 47

Calls

3 calls:

9.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
8.0ms	(*.f64 r (sin.f64 b))
8.0ms	(cos.f64 (+.f64 a b))

series672.0ms (3.9%)

Counts

3 → 33

Calls

3 calls:

465.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
119.0ms	(*.f64 r (sin.f64 b))
87.0ms	(cos.f64 (+.f64 a b))

Compiler

Compiled 824 to 642 computations (22.1% saved)

simplify164.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (134.0ms)

Iter	Nodes	Cost
0	4952	1265
1	4952	1265

prune139.0ms (0.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	68	12	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	12	81

Error

0.1b

Counts

81 → 12

Compiler

Compiled 1359 to 420 computations (69.1% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite56.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_441`
13×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
10×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
8×	`pow1_binary64_480`
6×	`add-log-exp_binary64_458` `associate-r_binary64_359` `associate-l_binary64_360`
5×	`sin-mult_binary64_574`
4×	`associate-/r/_binary64_365` `cos-mult_binary64_573`
3×	`times-frac_binary64_425` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `associate-/r*_binary64_363`
2×	`pow-prod-down_binary64_490` `unswap-sqr_binary64_387` `flip3--_binary64_423` `*-commutative_binary64_350` `flip--_binary64_394` `sub-div_binary64_426` `div-exp_binary64_470` `frac-sub_binary64_428` `cbrt-undiv_binary64_453`
1×	`clear-num_binary64_418` `sub-neg_binary64_412` `div-inv_binary64_416` `frac-2neg_binary64_430` `diff-log_binary64_511` `cancel-sign-sub-inv_binary64_385` `associate-/l*_binary64_364`

Counts

4 → 76

Calls

4 calls:

17.0ms	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
10.0ms	(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))
9.0ms	(*.f64 (sin.f64 a) (sin.f64 b))
8.0ms	(*.f64 r (sin.f64 b))

series1.6s (9.2%)

Counts

4 → 43

Calls

4 calls:

962.0ms	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
294.0ms	(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))
194.0ms	(*.f64 (sin.f64 a) (sin.f64 b))
143.0ms	(*.f64 r (sin.f64 b))

Compiler

Compiled 1390 to 1020 computations (26.6% saved)

simplify119.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4958	2326
1	4958	2326

prune254.0ms (1.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	107	12	119
Fresh	11	0	11
Picked	1	0	1
Done	0	0	0
Total	119	12	131

Error

0.0b

Counts

131 → 12

Compiler

Compiled 2850 to 677 computations (76.2% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite101.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`add-sqr-sqrt_binary64_441`
22×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
20×	`associate-r_binary64_359`
19×	`times-frac_binary64_425`
13×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
8×	`associate-/r/_binary64_365` `pow1_binary64_480`
7×	`sin-mult_binary64_574`
6×	`add-log-exp_binary64_458` `cos-mult_binary64_573` `associate-l_binary64_360`
3×	`unswap-sqr_binary64_387` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `flip3--_binary64_423` `flip--_binary64_394` `associate-/r_binary64_363` `sub-div_binary64_426` `frac-sub_binary64_428` `associate-/l_binary64_364`
2×	`pow-prod-down_binary64_490` `div-inv_binary64_416` `*-commutative_binary64_350` `div-exp_binary64_470` `cbrt-undiv_binary64_453`
1×	`clear-num_binary64_418` `sub-neg_binary64_412` `associate-*r/_binary64_361` `frac-2neg_binary64_430` `diff-log_binary64_511` `cancel-sign-sub-inv_binary64_385`

Counts

4 → 100

Calls

4 calls:

29.0ms	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
26.0ms	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
13.0ms	(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
13.0ms	(*.f64 (sin.f64 b) (sin.f64 a))

series2.2s (12.5%)

Counts

4 → 46

Calls

4 calls:

1.1s	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
608.0ms	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
299.0ms	(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
190.0ms	(*.f64 (sin.f64 b) (sin.f64 a))

Compiler

Compiled 1530 to 1109 computations (27.5% saved)

simplify210.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (138.0ms)

Iter	Nodes	Cost
0	4997	3849
1	4997	3849

prune297.0ms (1.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	144	2	146
Fresh	3	8	11
Picked	1	0	1
Done	0	0	0
Total	148	10	158

Error

Counts

158 → 10

Compiler

Compiled 3836 to 909 computations (76.3% saved)

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 r (sin.f64 b))
0.1b	(/.f64 1 (-.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 (.f64 r (sin.f64 b)) (/.f64 1 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))))

rewrite95.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`add-exp-log_binary64_457`
27×	`add-sqr-sqrt_binary64_441`
23×	`-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `associate-r*_binary64_359`
22×	`add-cbrt-cube_binary64_455`
18×	`times-frac_binary64_425`
14×	`prod-exp_binary64_468` `pow1_binary64_480`
8×	`cbrt-unprod_binary64_452` `associate-/r/_binary64_365`
7×	`associate-l_binary64_360`
6×	`div-exp_binary64_470`
5×	`pow-prod-down_binary64_490` `sin-mult_binary64_574`
4×	`add-log-exp_binary64_458` `cos-mult_binary64_573`
3×	`1-exp_binary64_463` `rec-exp_binary64_469` `-commutative_binary64_350` `associate-/r_binary64_363` `associate-/l*_binary64_364` `cbrt-undiv_binary64_453`
2×	`div-inv_binary64_416` `unswap-sqr_binary64_387` `flip3--_binary64_423` `flip--_binary64_394` `sub-div_binary64_426` `frac-sub_binary64_428`
1×	`clear-num_binary64_418` `inv-pow_binary64_504` `associate-*r/_binary64_361` `frac-2neg_binary64_430` `pow-flip_binary64_493` `un-div-inv_binary64_417`

Counts

4 → 114

Calls

4 calls:

32.0ms	(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))))
18.0ms	(/.f64 1 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
12.0ms	(*.f64 (sin.f64 b) (sin.f64 a))
11.0ms	(*.f64 r (sin.f64 b))

series1.9s (10.9%)

Counts

4 → 43

Calls

4 calls:

1.0s	(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))))
499.0ms	(/.f64 1 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
195.0ms	(*.f64 (sin.f64 b) (sin.f64 a))
152.0ms	(*.f64 r (sin.f64 b))

Compiler

Compiled 1604 to 1188 computations (25.9% saved)

simplify198.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 0 (128.0ms)

Iter	Nodes	Cost
0	4960	3676
1	4960	3676

prune254.0ms (1.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	157	0	157
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	157	10	167

Error

Counts

167 → 10

Compiler

Compiled 3895 to 910 computations (76.6% saved)

regimes1.2s (6.8%)

Accuracy

Total 0.3b remaining (92.2%)

Threshold costs 0.3b (92.2%)

Compiler

Compiled 4436 to 2962 computations (33.2% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	42	26
1	42	26

end0.0ms (0%)

sample5.7s (32.5%)

Algorithm

1×

intervals

Results

1.9s	3482×	body	1024	valid
511.0ms	1344×	body	512	valid
341.0ms	2352×	body	128	valid
244.0ms	216×	body	2048	valid
159.0ms	606×	body	256	valid
0.0ms	1×	body	512	invalid

Compiler

Compiled 1129 to 756 computations (33% saved)

Details

analyze2.1s (11.8%)

sample120.0ms (0.7%)

simplify14.0ms (0.1%)

prune5.0ms (0%)

localize17.0ms (0.1%)

rewrite31.0ms (0.2%)

series672.0ms (3.9%)

simplify164.0ms (0.9%)

prune139.0ms (0.8%)

localize26.0ms (0.2%)

rewrite56.0ms (0.3%)

series1.6s (9.2%)

simplify119.0ms (0.7%)

prune254.0ms (1.5%)

localize30.0ms (0.2%)

rewrite101.0ms (0.6%)

series2.2s (12.5%)

simplify210.0ms (1.2%)

prune297.0ms (1.7%)

localize33.0ms (0.2%)

rewrite95.0ms (0.5%)

series1.9s (10.9%)

simplify198.0ms (1.1%)

prune254.0ms (1.5%)

regimes1.2s (6.8%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample5.7s (32.5%)

Profiling