Details

analyze890.0ms (5.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5132	96
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

Compiler

Compiled 30 to 24 computations (20% saved)

sample74.0ms (0.4%)

Algorithm

1×

intervals

Results

20.0ms	167×	body	128	valid
17.0ms	286×	pre	128	true
16.0ms	89×	body	256	valid
3.0ms	30×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify611.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (599.0ms)

Iter	Nodes	Cost
0	1834	24
1	1834	24

prune7.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

40.6b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
0.1b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
0.1b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
36.2b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)

rewrite66.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64_441`
14×	`*-un-lft-identity_binary64_419`
9×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
8×	`add-log-exp_binary64_458` `add-cube-cbrt_binary64_454`
6×	`times-frac_binary64_425` `difference-of-squares_binary64_388` `sqrt-prod_binary64_435` `associate-/l*_binary64_364`
5×	`pow1_binary64_480`
4×	`flip3--_binary64_423` `flip--_binary64_394` `cancel-sign-sub-inv_binary64_385`
3×	`distribute-lft-out--_binary64_371`
2×	`sqrt-div_binary64_436` `sub-neg_binary64_412` `diff-log_binary64_511` `div-exp_binary64_470` `cbrt-undiv_binary64_453` `associate-/l/_binary64_366`
1×	`clear-num_binary64_418` `pow1/2_binary64_499` `div-inv_binary64_416` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `frac-2neg_binary64_430` `sqrt-pow1_binary64_437` `associate-/r*_binary64_363` `rem-sqrt-square_binary64_432` `div-sub_binary64_424`

Counts

4 → 74

Calls

4 calls:

22.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
15.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
8.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
8.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

series1.1s (6.6%)

Counts

4 → 72

Calls

4 calls:

367.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
279.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
270.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
188.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 1950 to 1660 computations (14.9% saved)

simplify144.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	5207	3272

prune354.0ms (2.1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	133	13	146
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	134	13	147

Error

0.6b

Counts

147 → 13

Compiler

Compiled 3559 to 2032 computations (42.9% saved)

localize56.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
0.3b	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
0.4b	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
0.4b	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))

rewrite116.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

155×	`add-exp-log_binary64_457`
72×	`prod-exp_binary64_468`
60×	`div-exp_binary64_470`
50×	`pow-exp_binary64_487` `pow-to-exp_binary64_488`
40×	`add-sqr-sqrt_binary64_441`
31×	`unpow-prod-down_binary64_498`
29×	`add-cbrt-cube_binary64_455`
26×	`times-frac_binary64_425` `associate-/r*_binary64_363`
23×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
15×	`sqr-pow_binary64_391`
12×	`unswap-sqr_binary64_387` `cube-prod_binary64_447` `associate-l_binary64_360`
8×	`cbrt-unprod_binary64_452` `cbrt-undiv_binary64_453`
7×	`associate-r_binary64_359`
4×	`add-log-exp_binary64_458` `pow1_binary64_480`
3×	`clear-num_binary64_418` `unpow3_binary64_485` `cube-mult_binary64_449` `div-inv_binary64_416` `frac-2neg_binary64_430` `associate-/l*_binary64_364`
1×	`*-commutative_binary64_350`

Counts

4 → 202

Calls

4 calls:

19.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
16.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
16.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
15.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

series1.6s (9.3%)

Counts

4 → 33

Calls

4 calls:

540.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
456.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
360.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
202.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 2706 to 2082 computations (23.1% saved)

simplify178.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

235 → 235

Iterations

Useful iterations: 0 (105.0ms)

Iter	Nodes	Cost
0	5089	3808

prune1.0s (6%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	235	0	235
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	235	13	248

Error

0.6b

Counts

248 → 13

Compiler

Compiled 10863 to 6425 computations (40.9% saved)

localize66.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
0.4b	(.f64 (.f64 a a) (*.f64 c c))
0.4b	(/.f64 (.f64 (.f64 a a) (*.f64 c c)) (pow.f64 b 3))
0.7b	(pow.f64 (*.f64 a c) 3)

rewrite126.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

88×	`add-exp-log_binary64_457`
68×	`times-frac_binary64_425`
42×	`unpow-prod-down_binary64_498`
39×	`add-cbrt-cube_binary64_455`
37×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
36×	`prod-exp_binary64_468`
35×	`pow1_binary64_480`
27×	`div-exp_binary64_470`
20×	`sqr-pow_binary64_391`
19×	`associate-/r*_binary64_363`
17×	`cbrt-unprod_binary64_452` `pow-exp_binary64_487`
15×	`pow-prod-down_binary64_490` `cube-prod_binary64_447`
13×	`pow-to-exp_binary64_488`
11×	`unpow3_binary64_485` `cube-mult_binary64_449`
9×	`associate-/l*_binary64_364`
6×	`cbrt-undiv_binary64_453`
4×	`add-log-exp_binary64_458` `pow-plus_binary64_482` `pow-prod-up_binary64_489`
3×	`pow-unpow_binary64_496`
2×	`clear-num_binary64_418` `div-inv_binary64_416` `rem-cube-cbrt_binary64_442` `frac-2neg_binary64_430` `pow-pow_binary64_491` `pow-sqr_binary64_392` `pow2_binary64_500`
1×	`associate-r_binary64_359` `unswap-sqr_binary64_387` `-commutative_binary64_350` `associate-l*_binary64_360`

Counts

4 → 200

Calls

4 calls:

25.0ms	(/.f64 (.f64 (.f64 a a) (*.f64 c c)) (pow.f64 b 3))
17.0ms	(.f64 (.f64 a a) (*.f64 c c))
13.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
7.0ms	(pow.f64 (*.f64 a c) 3)

series1.3s (7.8%)

Counts

4 → 30

Calls

4 calls:

580.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
401.0ms	(/.f64 (.f64 (.f64 a a) (*.f64 c c)) (pow.f64 b 3))
177.0ms	(.f64 (.f64 a a) (*.f64 c c))
155.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 3000 to 2310 computations (23% saved)

simplify187.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

230 → 230

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	5227	3485

prune1.5s (8.7%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	229	1	230
Fresh	1	10	11
Picked	0	1	1
Done	0	1	1
Total	230	13	243

Error

0.6b

Counts

243 → 13

Compiler

Compiled 12496 to 7511 computations (39.9% saved)

localize46.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
0.4b	(.f64 (.f64 a a) (*.f64 c c))
0.4b	(/.f64 (.f64 (.f64 a a) (*.f64 c c)) (pow.f64 b 3))
0.7b	(pow.f64 (*.f64 a c) 3)

rewrite123.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

88×	`add-exp-log_binary64_457`
68×	`times-frac_binary64_425`
42×	`unpow-prod-down_binary64_498`
39×	`add-cbrt-cube_binary64_455`
37×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
36×	`prod-exp_binary64_468`
35×	`pow1_binary64_480`
27×	`div-exp_binary64_470`
20×	`sqr-pow_binary64_391`
19×	`associate-/r*_binary64_363`
17×	`cbrt-unprod_binary64_452` `pow-exp_binary64_487`
15×	`pow-prod-down_binary64_490` `cube-prod_binary64_447`
13×	`pow-to-exp_binary64_488`
11×	`unpow3_binary64_485` `cube-mult_binary64_449`
9×	`associate-/l*_binary64_364`
6×	`cbrt-undiv_binary64_453`
4×	`add-log-exp_binary64_458` `pow-plus_binary64_482` `pow-prod-up_binary64_489`
3×	`pow-unpow_binary64_496`
2×	`clear-num_binary64_418` `div-inv_binary64_416` `rem-cube-cbrt_binary64_442` `frac-2neg_binary64_430` `pow-pow_binary64_491` `pow-sqr_binary64_392` `pow2_binary64_500`
1×	`associate-r_binary64_359` `unswap-sqr_binary64_387` `-commutative_binary64_350` `associate-l*_binary64_360`

Counts

4 → 200

Calls

4 calls:

28.0ms	(/.f64 (.f64 (.f64 a a) (*.f64 c c)) (pow.f64 b 3))
19.0ms	(.f64 (.f64 a a) (*.f64 c c))
15.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
8.0ms	(pow.f64 (*.f64 a c) 3)

series1.3s (7.6%)

Counts

4 → 30

Calls

4 calls:

552.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
421.0ms	(/.f64 (.f64 (.f64 a a) (*.f64 c c)) (pow.f64 b 3))
157.0ms	(pow.f64 (*.f64 a c) 3)
152.0ms	(.f64 (.f64 a a) (*.f64 c c))

Compiler

Compiled 2160 to 1650 computations (23.6% saved)

simplify175.0ms (1%)

Algorithm

1×	egg-herbie

Counts

230 → 230

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	5227	3485

prune830.0ms (4.9%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	230	0	230
Fresh	0	10	10
Picked	0	1	1
Done	0	2	2
Total	230	13	243

Error

0.6b

Counts

243 → 13

Compiler

Compiled 8865 to 4694 computations (47.1% saved)

regimes734.0ms (4.4%)

Accuracy

Total 2.5b remaining (87.8%)

Threshold costs 0b (0%)

Compiler

Compiled 4888 to 3622 computations (25.9% saved)

bsearch0.0ms (0%)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	86	61
1	86	61

end0.0ms (0%)

sample4.3s (25.3%)

Algorithm

1×

intervals

Results

581.0ms	2994×	body	256	valid
529.0ms	8910×	pre	128	true
488.0ms	5003×	body	128	valid
83.0ms	910×	body	128	nan
1.0ms	3×	body	512	valid

Compiler

Compiled 1283 to 952 computations (25.8% saved)

Details

analyze890.0ms (5.3%)

sample74.0ms (0.4%)

simplify611.0ms (3.6%)

prune7.0ms (0%)

localize22.0ms (0.1%)

rewrite66.0ms (0.4%)

series1.1s (6.6%)

simplify144.0ms (0.9%)

prune354.0ms (2.1%)

localize56.0ms (0.3%)

rewrite116.0ms (0.7%)

series1.6s (9.3%)

simplify178.0ms (1.1%)

prune1.0s (6%)

localize66.0ms (0.4%)

rewrite126.0ms (0.8%)

series1.3s (7.8%)

simplify187.0ms (1.1%)

prune1.5s (8.7%)

localize46.0ms (0.3%)

rewrite123.0ms (0.7%)

series1.3s (7.6%)

simplify175.0ms (1%)

prune830.0ms (4.9%)

regimes734.0ms (4.4%)

bsearch0.0ms (0%)

simplify6.0ms (0%)

end0.0ms (0%)

sample4.3s (25.3%)

Profiling