Details

analyze6.0ms

Algorithm

Search

True	Other	False	Iter
0%	74.9%	25.1%	0
0%	74.9%	25.1%	1
37.5%	37.5%	25.1%	2
37.5%	18.7%	43.8%	3
46.8%	9.4%	43.8%	4
51.5%	4.7%	43.8%	5
51.5%	2.3%	46.1%	6
52.7%	1.2%	46.1%	7
53.3%	0.6%	46.1%	8
53.3%	0.3%	46.4%	9
53.4%	0.1%	46.4%	10
53.5%	0.1%	46.4%	11
53.5%	0%	46.5%	12
53.5%	0%	46.5%	13
53.5%	0%	46.5%	14

sample37.0ms

Algorithm

intervals

Results

23.0ms	256×	body	80	valid
5.0ms	256×	pre	80	true

simplify274.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (135.0ms)

Iter	Nodes	Cost
0	5204	47

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 2

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))
0.1b	(.f64 (/.f64 1 (sqrt.f64 PI.f64)) (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 (/.f64 2 3) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 21) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))
0.1b	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
1.0b	(sqrt.f64 PI.f64)

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

62×	`pow1_binary64_532`
43×	`add-exp-log_binary64_554`
40×	`add-sqr-sqrt_binary64_575`
39×	`add-cbrt-cube_binary64_562`
36×	`associate-l_binary64_650`
31×	`times-frac_binary64_585`
29×	`*-un-lft-identity_binary64_590`
27×	`add-cube-cbrt_binary64_561`
22×	`prod-exp_binary64_537`
21×	`pow-prod-up_binary64_512` `pow-plus_binary64_527`
20×	`cbrt-unprod_binary64_559`
14×	`sqrt-prod_binary64_569` `associate-*l/_binary64_652`
13×	`pow-prod-down_binary64_513`
12×	`frac-add_binary64_580`
7×	`associate-r_binary64_649`
6×	`flip-+_binary64_615` `frac-times_binary64_582` `flip3-+_binary64_588` `associate-*r/_binary64_651`
5×	`unswap-sqr_binary64_618` `div-exp_binary64_539`
4×	`cbrt-undiv_binary64_560` `pow2_binary64_523` `add-log-exp_binary64_555` `pow-sqr_binary64_623`
3×	`*-commutative_binary64_658`
2×	`div-inv_binary64_591` `pow3_binary64_525`
1×	`rem-sqrt-square_binary64_578` `rec-exp_binary64_538` `distribute-rgt-in_binary64_633` `distribute-lft-in_binary64_632` `pow1/2_binary64_522` `sqrt-pow1_binary64_571` `1-exp_binary64_550`

Counts

4 → 150

Calls

4 calls:

12.0ms	(.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))
27.0ms	(.f64 (/.f64 1 (sqrt.f64 PI.f64)) (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 (/.f64 2 3) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 21) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))
12.0ms	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
1.0ms	(sqrt.f64 PI.f64)

series375.0ms

Counts

4 → 10

Calls

4 calls:

33.0ms	(.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))
297.0ms	(.f64 (/.f64 1 (sqrt.f64 PI.f64)) (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 (/.f64 2 3) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 21) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))
44.0ms	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
0.0ms	(sqrt.f64 PI.f64)

simplify105.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4969	4860
1	4969	4860

prune273.0ms

Filtered

96 candidates to 160 candidates (-66.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	158	2	160
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	159	3	162

Merged error: 0b

Counts

162 → 3

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(*.f64 1/21 (pow.f64 (fabs.f64 x) 7))
0.1b	(*.f64 1/5 (pow.f64 (fabs.f64 x) 5))
0.1b	(.f64 (+.f64 (+.f64 (+.f64 (.f64 2/3 (pow.f64 (fabs.f64 x) 3)) (.f64 2 (fabs.f64 x))) (.f64 1/5 (pow.f64 (fabs.f64 x) 5))) (*.f64 1/21 (pow.f64 (fabs.f64 x) 7))) (sqrt.f64 (/.f64 1 PI.f64)))
0.1b	(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt_binary64_575`
42×	`associate-r_binary64_649`
24×	`*-un-lft-identity_binary64_590`
23×	`add-cube-cbrt_binary64_561`
21×	`add-exp-log_binary64_554`
16×	`sqrt-prod_binary64_569`
14×	`unswap-sqr_binary64_618`
12×	`add-cbrt-cube_binary64_562` `unpow-prod-down_binary64_521` `associate-l_binary64_650`
11×	`times-frac_binary64_585`
10×	`prod-exp_binary64_537`
6×	`sqr-pow_binary64_622` `pow1_binary64_532`
4×	`cbrt-unprod_binary64_559` `*-commutative_binary64_658` `add-log-exp_binary64_555` `cube-prod_binary64_563`
3×	`pow-to-exp_binary64_511` `sqrt-div_binary64_570` `pow-exp_binary64_510`
2×	`flip-+_binary64_615` `frac-times_binary64_582` `associate-*l/_binary64_652` `flip3-+_binary64_588`
1×	`pow-prod-down_binary64_513` `div-inv_binary64_591` `cube-mult_binary64_565` `unpow3_binary64_530` `associate-*r/_binary64_651`

Counts

4 → 120

Calls

4 calls:

5.0ms	(*.f64 1/21 (pow.f64 (fabs.f64 x) 7))
5.0ms	(*.f64 1/5 (pow.f64 (fabs.f64 x) 5))
18.0ms	(.f64 (+.f64 (+.f64 (+.f64 (.f64 2/3 (pow.f64 (fabs.f64 x) 3)) (.f64 2 (fabs.f64 x))) (.f64 1/5 (pow.f64 (fabs.f64 x) 5))) (*.f64 1/21 (pow.f64 (fabs.f64 x) 7))) (sqrt.f64 (/.f64 1 PI.f64)))
7.0ms	(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))

series457.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(*.f64 1/21 (pow.f64 (fabs.f64 x) 7))
56.0ms	(*.f64 1/5 (pow.f64 (fabs.f64 x) 5))
285.0ms	(.f64 (+.f64 (+.f64 (+.f64 (.f64 2/3 (pow.f64 (fabs.f64 x) 3)) (.f64 2 (fabs.f64 x))) (.f64 1/5 (pow.f64 (fabs.f64 x) 5))) (*.f64 1/21 (pow.f64 (fabs.f64 x) 7))) (sqrt.f64 (/.f64 1 PI.f64)))
46.0ms	(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))

simplify104.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5186	3518

prune193.0ms

Filtered

87 candidates to 132 candidates (-51.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	132	3	135

Merged error: 0b

Counts

135 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (+.f64 (+.f64 (.f64 2/3 (pow.f64 (fabs.f64 x) 3)) (.f64 2 (fabs.f64 x))) (*.f64 1/5 (pow.f64 (fabs.f64 x) 5))) (sqrt.f64 PI.f64))
1.0b	(/.f64 1/21 (sqrt.f64 PI.f64))
1.0b	(sqrt.f64 PI.f64)
1.0b	(sqrt.f64 PI.f64)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt_binary64_575`
36×	`add-cube-cbrt_binary64_561` `*-un-lft-identity_binary64_590` `times-frac_binary64_585`
30×	`sqrt-prod_binary64_569`
12×	`associate-/r*_binary64_653`
8×	`add-cbrt-cube_binary64_562` `add-exp-log_binary64_554`
6×	`pow1_binary64_532` `associate-/l*_binary64_654`
4×	`add-log-exp_binary64_555`
2×	`rem-sqrt-square_binary64_578` `div-inv_binary64_591` `cbrt-undiv_binary64_560` `frac-2neg_binary64_583` `pow1/2_binary64_522` `associate-/l/_binary64_656` `sqrt-pow1_binary64_571` `clear-num_binary64_593` `div-exp_binary64_539`
1×	`flip-+_binary64_615` `flip3-+_binary64_588`

Counts

4 → 106

Calls

4 calls:

12.0ms	(/.f64 (+.f64 (+.f64 (.f64 2/3 (pow.f64 (fabs.f64 x) 3)) (.f64 2 (fabs.f64 x))) (*.f64 1/5 (pow.f64 (fabs.f64 x) 5))) (sqrt.f64 PI.f64))
4.0ms	(/.f64 1/21 (sqrt.f64 PI.f64))
1.0ms	(sqrt.f64 PI.f64)
1.0ms	(sqrt.f64 PI.f64)

series190.0ms

Counts

4 → 6

Calls

4 calls:

190.0ms	(/.f64 (+.f64 (+.f64 (.f64 2/3 (pow.f64 (fabs.f64 x) 3)) (.f64 2 (fabs.f64 x))) (*.f64 1/5 (pow.f64 (fabs.f64 x) 5))) (sqrt.f64 PI.f64))
0.0ms	(/.f64 1/21 (sqrt.f64 PI.f64))
0.0ms	(sqrt.f64 PI.f64)
0.0ms	(sqrt.f64 PI.f64)

simplify103.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4920	3173
1	4920	3173

prune153.0ms

Filtered

76 candidates to 112 candidates (-47.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	112	3	115

Merged error: 0b

Counts

115 → 3

regimes95.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	50
1	36	50

end0.0ms

sample929.0ms

Algorithm

intervals

Results

726.0ms	8000×	body	80	valid
86.0ms	8002×	pre	80	true
0.0ms	2×	body	80	invalid

Details

analyze6.0ms

sample37.0ms

simplify274.0ms

prune6.0ms

localize25.0ms

rewrite60.0ms

series375.0ms

simplify105.0ms

prune273.0ms

localize22.0ms

rewrite40.0ms

series457.0ms

simplify104.0ms

prune193.0ms

localize19.0ms

rewrite22.0ms

series190.0ms

simplify103.0ms

prune153.0ms

regimes95.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample929.0ms

Profiling