Details

analyze357.0ms (2.9%)

Algorithm

1×

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)

sample49.0ms (0.4%)

Algorithm

1×

intervals

Results

11.0ms	169×	body	128	valid
11.0ms	279×	pre	128	true
10.0ms	87×	body	256	valid
1.0ms	23×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify474.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (347.0ms)

Iter	Nodes	Cost
0	1834	24
1	1834	24

prune5.0ms (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

42.2b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize12.0ms (0.1%)

Local error

Found 8 expressions with local error:

36.3b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
0.2b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
0.1b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
0.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
0.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
0.1b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
0.2b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
36.3b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)

rewrite37.0ms (0.3%)

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

8 calls:

14.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
0.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

series763.0ms (6.2%)

Counts

4 → 72

Calls

4 calls:

242.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
209.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
187.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
124.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 1950 to 1660 computations (14.9% saved)

simplify113.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5207	3272

prune293.0ms (2.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	137	9	146
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	138	9	147

Error

0.4b

Counts

147 → 9

Compiler

Compiled 3421 to 1936 computations (43.4% saved)

localize27.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.2b	(.f64 a (.f64 c c))
0.1b	(-.f64 (.f64 -2 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))) (/.f64 (.f64 a (*.f64 c c)) (pow.f64 b 3)))
0.1b	(-.f64 (-.f64 (.f64 -2 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))) (/.f64 (.f64 a (*.f64 c c)) (pow.f64 b 3))) (/.f64 c b))
0.0b	(+.f64 (-.f64 (-.f64 (.f64 -2 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))) (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))) (/.f64 c b)) (.f64 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7)) -5))
0.4b	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
0.4b	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
0.4b	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
0.4b	(.f64 (.f64 a a) (pow.f64 c 3))

rewrite91.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

109×	`add-exp-log_binary64_457`
54×	`prod-exp_binary64_468`
42×	`add-sqr-sqrt_binary64_441`
30×	`div-exp_binary64_470`
29×	`unpow-prod-down_binary64_498` `add-cbrt-cube_binary64_455`
24×	`pow-exp_binary64_487` `pow-to-exp_binary64_488`
22×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
19×	`times-frac_binary64_425` `associate-r_binary64_359` `associate-/r*_binary64_363`
16×	`unswap-sqr_binary64_387` `cube-prod_binary64_447`
15×	`sqr-pow_binary64_391`
13×	`associate-l_binary64_360`
10×	`cbrt-unprod_binary64_452`
6×	`cbrt-undiv_binary64_453`
4×	`add-log-exp_binary64_458` `unpow3_binary64_485` `cube-mult_binary64_449` `pow1_binary64_480`
2×	`clear-num_binary64_418` `div-inv_binary64_416` `-commutative_binary64_350` `frac-2neg_binary64_430` `associate-/l_binary64_364`

Counts

4 → 178

Calls

8 calls:

21.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
16.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
11.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
9.0ms	(.f64 (.f64 a a) (pow.f64 c 3))
0.0ms	(+.f64 (-.f64 (-.f64 (.f64 -2 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))) (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))) (/.f64 c b)) (.f64 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7)) -5))

series840.0ms (6.9%)

Counts

4 → 30

Calls

4 calls:

325.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
238.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
155.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
122.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 2460 to 1908 computations (22.4% saved)

simplify101.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

208 → 208

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5093	3032

prune634.0ms (5.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	208	0	208
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	208	9	217

Error

0.4b

Counts

217 → 9

Compiler

Compiled 9533 to 5584 computations (41.4% saved)

localize52.0ms (0.4%)

Local error

Found 8 expressions with local error:

0.2b	(/.f64 (+.f64 (+.f64 (.f64 -2 (+.f64 (/.f64 (.f64 a c) b) (/.f64 (.f64 (.f64 a a) (.f64 c c)) (pow.f64 b 3)))) (.f64 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)) -4)) (.f64 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7)) -10)) (.f64 a 2))
0.1b	(+.f64 (/.f64 (.f64 a c) b) (/.f64 (.f64 (.f64 a a) (.f64 c c)) (pow.f64 b 3)))
0.1b	(+.f64 (.f64 -2 (+.f64 (/.f64 (.f64 a c) b) (/.f64 (.f64 (.f64 a a) (.f64 c c)) (pow.f64 b 3)))) (.f64 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5)) -4))
0.1b	(+.f64 (+.f64 (.f64 -2 (+.f64 (/.f64 (.f64 a c) b) (/.f64 (.f64 (.f64 a a) (.f64 c c)) (pow.f64 b 3)))) (.f64 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)) -4)) (.f64 (/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7)) -10))
0.4b	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
0.4b	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
0.4b	(.f64 (.f64 a a) (*.f64 c c))
0.7b	(pow.f64 (*.f64 a c) 3)

rewrite74.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

98×	`add-exp-log_binary64_457`
63×	`times-frac_binary64_425`
42×	`unpow-prod-down_binary64_498` `div-exp_binary64_470`
40×	`pow-exp_binary64_487`
39×	`prod-exp_binary64_468`
36×	`pow-to-exp_binary64_488`
35×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `pow1_binary64_480`
26×	`add-cbrt-cube_binary64_455`
20×	`sqr-pow_binary64_391`
15×	`pow-prod-down_binary64_490`
14×	`associate-/r*_binary64_363`
10×	`cbrt-unprod_binary64_452`
9×	`unpow3_binary64_485` `cube-mult_binary64_449` `cube-prod_binary64_447` `associate-/l*_binary64_364`
4×	`add-log-exp_binary64_458` `pow-plus_binary64_482` `pow-prod-up_binary64_489`
3×	`pow-unpow_binary64_496` `cbrt-undiv_binary64_453`
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 → 202

Calls

8 calls:

12.0ms	(.f64 (.f64 a a) (*.f64 c c))
10.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
9.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
4.0ms	(pow.f64 (*.f64 a c) 3)
0.0ms	(+.f64 (+.f64 (.f64 -2 (+.f64 (/.f64 (.f64 a c) b) (/.f64 (.f64 (.f64 a a) (.f64 c c)) (pow.f64 b 3)))) (.f64 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)) -4)) (.f64 (/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7)) -10))

series961.0ms (7.9%)

Counts

4 → 30

Calls

4 calls:

383.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
362.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
112.0ms	(.f64 (.f64 a a) (*.f64 c c))
104.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 3000 to 2274 computations (24.2% saved)

simplify89.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

232 → 232

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4945	3565
1	4945	3565

prune732.0ms (6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	232	0	232
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	232	9	241

Error

0.4b

Counts

241 → 9

Compiler

Compiled 12421 to 7237 computations (41.7% saved)

localize3.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms (0%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	6	6
Picked	1	1
Done	2	2
Total	9	9

Error

0.4b

Counts

9 → 9

Compiler

Compiled 0 to 0 computations (0% saved)

simplify25.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	485	1857
1	485	1857

regimes333.0ms (2.7%)

Accuracy

Total 2.5b remaining (87.2%)

Threshold costs 0b (0%)

Compiler

Compiled 3630 to 2706 computations (25.5% 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%)

sample6.2s (50.4%)

Algorithm

1×

intervals

Results

339.0ms	2919×	body	256	valid
326.0ms	8896×	pre	128	true
300.0ms	5074×	body	128	valid
53.0ms	896×	body	128	nan
2.0ms	7×	body	512	valid

Compiler

Compiled 3654 to 2715 computations (25.7% saved)

Pareto

0.05813050909182073

Details

analyze357.0ms (2.9%)

sample49.0ms (0.4%)

simplify474.0ms (3.9%)

prune5.0ms (0%)

localize12.0ms (0.1%)

rewrite37.0ms (0.3%)

series763.0ms (6.2%)

simplify113.0ms (0.9%)

prune293.0ms (2.4%)

localize27.0ms (0.2%)

rewrite91.0ms (0.7%)

series840.0ms (6.9%)

simplify101.0ms (0.8%)

prune634.0ms (5.2%)

localize52.0ms (0.4%)

rewrite74.0ms (0.6%)

series961.0ms (7.9%)

simplify89.0ms (0.7%)

prune732.0ms (6%)

localize3.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.1%)

prune0.0ms (0%)

simplify25.0ms (0.2%)

regimes333.0ms (2.7%)

bsearch0.0ms (0%)

simplify6.0ms (0%)

end0.0ms (0%)

sample6.2s (50.4%)

Profiling