Details

analyze941.0ms

Algorithm

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
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
2.7%	90.9%	6.4%	9
4.1%	86.4%	9.5%	10
4.4%	86.1%	9.5%	11
19.7%	65.3%	15%	12
21.9%	60.4%	17.7%	13
22.7%	59.6%	17.7%	14

sample67.0ms

Algorithm

intervals

Results

17.0ms	188×	body	80	valid
10.0ms	19×	body	1280	valid
9.0ms	26×	body	640	valid
4.0ms	17×	body	320	valid
3.0ms	10×	body	640	invalid
2.0ms	37×	body	80	nan
1.0ms	3×	body	1280	invalid
1.0ms	6×	body	160	valid
1.0ms	5×	body	160	invalid
1.0ms	9×	body	80	invalid
0.0ms	2×	body	320	invalid

simplify195.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5911	16

prune20.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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

Merged error: 6.4b

Counts

2 → 1

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 y (+.f64 y z))
5.4b	(pow.f64 (/.f64 y (+.f64 y z)) y)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64_3784`
24×	`times-frac_binary64_3779`
20×	`add-sqr-sqrt_binary64_3769` `add-cube-cbrt_binary64_3755`
18×	`unpow-prod-down_binary64_3719`
7×	`add-exp-log_binary64_3748` `distribute-lft-out_binary64_3828`
4×	`associate-/r*_binary64_3847` `add-cbrt-cube_binary64_3756` `associate-/r/_binary64_3849`
3×	`pow1_binary64_3730` `associate-/l*_binary64_3848` `pow-unpow_binary64_3717`
2×	`add-log-exp_binary64_3749` `div-inv_binary64_3785` `flip-+_binary64_3809` `div-exp_binary64_3737` `flip3-+_binary64_3782` `pow-exp_binary64_3708`
1×	`sqr-pow_binary64_3816` `clear-num_binary64_3787` `frac-2neg_binary64_3777` `pow-to-exp_binary64_3709` `cbrt-undiv_binary64_3754` `pow-pow_binary64_3712`

Counts

2 → 66

Calls

2 calls:

5.0ms	(/.f64 y (+.f64 y z))
7.0ms	(pow.f64 (/.f64 y (+.f64 y z)) y)

series199.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(/.f64 y (+.f64 y z))
171.0ms	(pow.f64 (/.f64 y (+.f64 y z)) y)

simplify79.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5013	1129

prune262.0ms

Filtered

50 candidates to 72 candidates (-44.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	66	6	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	67	6	73

Merged error: 0.3b

Counts

73 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
5.4b	(pow.f64 (/.f64 y (+.f64 y z)) (*.f64 (cbrt.f64 y) (cbrt.f64 y)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64_3784`
18×	`unpow-prod-down_binary64_3719`
15×	`add-sqr-sqrt_binary64_3769` `add-cube-cbrt_binary64_3755`
12×	`times-frac_binary64_3779`
9×	`cbrt-prod_binary64_3751`
7×	`add-exp-log_binary64_3748`
5×	`pow1_binary64_3730`
4×	`add-log-exp_binary64_3749` `add-cbrt-cube_binary64_3756`
3×	`pow1/3_binary64_3722` `distribute-lft-out_binary64_3828`
2×	`associate-/r/_binary64_3849` `pow-exp_binary64_3708`
1×	`sqr-pow_binary64_3816` `pow-to-exp_binary64_3709` `div-inv_binary64_3785` `pow-unpow_binary64_3717` `flip-+_binary64_3809` `pow-pow_binary64_3712` `div-exp_binary64_3737` `flip3-+_binary64_3782`

Counts

4 → 64

Calls

4 calls:

1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
7.0ms	(pow.f64 (/.f64 y (+.f64 y z)) (*.f64 (cbrt.f64 y) (cbrt.f64 y)))

series718.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(cbrt.f64 y)
85.0ms	(cbrt.f64 y)
86.0ms	(cbrt.f64 y)
461.0ms	(pow.f64 (/.f64 y (+.f64 y z)) (*.f64 (cbrt.f64 y) (cbrt.f64 y)))

simplify74.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5230	1005

prune331.0ms

Filtered

62 candidates to 76 candidates (-22.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	74	2	76
Fresh	3	2	5
Picked	1	0	1
Done	0	0	0
Total	78	4	82

Merged error: 0.1b

Counts

82 → 4

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
5.4b	(pow.f64 (/.f64 y (+.f64 y z)) (*.f64 (cbrt.f64 y) (cbrt.f64 y)))
9.7b	(log.f64 (exp.f64 (cbrt.f64 y)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity_binary64_3784`
18×	`unpow-prod-down_binary64_3719`
17×	`add-sqr-sqrt_binary64_3769` `add-cube-cbrt_binary64_3755`
12×	`times-frac_binary64_3779`
9×	`cbrt-prod_binary64_3751`
7×	`add-exp-log_binary64_3748` `log-pow_binary64_3705`
6×	`pow1_binary64_3730` `exp-prod_binary64_3738`
4×	`add-log-exp_binary64_3749` `add-cbrt-cube_binary64_3756`
3×	`distribute-lft-out_binary64_3828` `log-prod_binary64_3702`
2×	`pow1/3_binary64_3722` `associate-/r/_binary64_3849` `pow-exp_binary64_3708`
1×	`sqr-pow_binary64_3816` `rem-log-exp_binary64_3747` `pow-to-exp_binary64_3709` `div-inv_binary64_3785` `pow-unpow_binary64_3717` `flip-+_binary64_3809` `pow-pow_binary64_3712` `div-exp_binary64_3737` `flip3-+_binary64_3782`

Counts

4 → 71

Calls

4 calls:

1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
7.0ms	(pow.f64 (/.f64 y (+.f64 y z)) (*.f64 (cbrt.f64 y) (cbrt.f64 y)))
3.0ms	(log.f64 (exp.f64 (cbrt.f64 y)))

series721.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(cbrt.f64 y)
83.0ms	(cbrt.f64 y)
463.0ms	(pow.f64 (/.f64 y (+.f64 y z)) (*.f64 (cbrt.f64 y) (cbrt.f64 y)))
87.0ms	(log.f64 (exp.f64 (cbrt.f64 y)))

simplify72.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5296	1058

prune370.0ms

Filtered

67 candidates to 83 candidates (-23.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	83	4	87

Merged error: 0.1b

Counts

87 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
5.2b	(pow.f64 (/.f64 y (+.f64 y z)) (cbrt.f64 y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity_binary64_3784`
18×	`unpow-prod-down_binary64_3719`
17×	`add-sqr-sqrt_binary64_3769` `add-cube-cbrt_binary64_3755`
12×	`times-frac_binary64_3779` `cbrt-prod_binary64_3751`
7×	`add-exp-log_binary64_3748`
6×	`pow-unpow_binary64_3717`
5×	`pow1_binary64_3730`
4×	`add-log-exp_binary64_3749` `add-cbrt-cube_binary64_3756`
3×	`pow1/3_binary64_3722` `distribute-lft-out_binary64_3828`
2×	`associate-/r/_binary64_3849` `pow-exp_binary64_3708`
1×	`sqr-pow_binary64_3816` `pow-to-exp_binary64_3709` `div-inv_binary64_3785` `flip-+_binary64_3809` `pow-pow_binary64_3712` `div-exp_binary64_3737` `flip3-+_binary64_3782`

Counts

4 → 69

Calls

4 calls:

1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
7.0ms	(pow.f64 (/.f64 y (+.f64 y z)) (cbrt.f64 y))

series823.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(cbrt.f64 y)
85.0ms	(cbrt.f64 y)
82.0ms	(cbrt.f64 y)
571.0ms	(pow.f64 (/.f64 y (+.f64 y z)) (cbrt.f64 y))

simplify94.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5187	1026

prune319.0ms

Filtered

64 candidates to 81 candidates (-26.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	81	4	85

Merged error: 0.1b

Counts

85 → 4

regimes256.0ms

Accuracy

47.6% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 1.1b

bsearch24.0ms

Steps

Iters	Range		Point
6	7729092591412573/2147483648	483375180174637/33554432	3631925.0693738717

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	49
1	32	49

end0.0ms

sample1.6s

Algorithm

intervals

Results

380.0ms	6031×	body	80	valid
336.0ms	639×	body	1280	valid
221.0ms	684×	body	640	valid
93.0ms	435×	body	320	valid
73.0ms	237×	body	640	invalid
51.0ms	1066×	body	80	nan
44.0ms	88×	body	1280	invalid
35.0ms	158×	body	320	invalid
29.0ms	211×	body	160	valid
21.0ms	351×	body	80	invalid
15.0ms	119×	body	160	invalid

Details

analyze941.0ms

sample67.0ms

simplify195.0ms

prune20.0ms

localize12.0ms

rewrite14.0ms

series199.0ms

simplify79.0ms

prune262.0ms

localize18.0ms

rewrite12.0ms

series718.0ms

simplify74.0ms

prune331.0ms

localize30.0ms

rewrite14.0ms

series721.0ms

simplify72.0ms

prune370.0ms

localize19.0ms

rewrite12.0ms

series823.0ms

simplify94.0ms

prune319.0ms

regimes256.0ms

bsearch24.0ms

simplify3.0ms

end0.0ms

sample1.6s

Profiling