Details

analyze19.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
50%	50%	0.1%	3
74.9%	25%	0.1%	4
74.9%	25%	0.1%	5
87.4%	12.5%	0.1%	6
87.4%	12.5%	0.1%	7
93.7%	6.2%	0.1%	8
93.7%	6.2%	0.1%	9
96.8%	3.1%	0.1%	10
96.8%	3.1%	0.1%	11
98.3%	1.6%	0.1%	12
98.3%	1.6%	0.1%	13
99.1%	0.8%	0.1%	14

sample20.0ms

Algorithm

intervals

Results

6.0ms	239×	body	80	valid
1.0ms	6×	body	1280	valid
1.0ms	7×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	2560	valid

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	98	7
1	98	7

prune15.0ms

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: 0.1b

Counts

2 → 1

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b	(-.f64 x (*.f64 3/8 y))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp_binary64_3749`
1×	`add-exp-log_binary64_3748` `pow1_binary64_3730` `flip3--_binary64_3783` `flip--_binary64_3810` `add-cbrt-cube_binary64_3756` `diff-log_binary64_3700` `*-un-lft-identity_binary64_3784` `sub-neg_binary64_3788` `add-sqr-sqrt_binary64_3769` `add-cube-cbrt_binary64_3755`

Counts

1 → 11

Calls

1 calls:

3.0ms

(-.f64 x (*.f64 3/8 y))

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

(-.f64 x (*.f64 3/8 y))

simplify95.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4934	161
1	4934	161

prune62.0ms

Filtered

10 candidates to 14 candidates (-40.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	11	3	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	4	15

Merged error: 0.0b

Counts

15 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (*.f64 3/8 y))
0.2b	(.f64 9/64 (.f64 y y))
2.7b	(-.f64 (.f64 x x) (.f64 9/64 (*.f64 y y)))
31.6b	(/.f64 (-.f64 (.f64 x x) (.f64 9/64 (.f64 y y))) (+.f64 x (.f64 3/8 y)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_3769`
13×	`*-un-lft-identity_binary64_3784` `add-cube-cbrt_binary64_3755`
11×	`add-exp-log_binary64_3748` `add-cbrt-cube_binary64_3756`
9×	`times-frac_binary64_3779` `pow1_binary64_3730`
8×	`add-log-exp_binary64_3749`
3×	`cbrt-unprod_binary64_3753` `prod-exp_binary64_3735` `associate-l_binary64_3844` `associate-/r_binary64_3847` `pow-prod-down_binary64_3711` `associate-/l_binary64_3848`
2×	`associate-/l/_binary64_3850` `flip3--_binary64_3783` `flip--_binary64_3810` `flip-+_binary64_3809` `flip3-+_binary64_3782` `associate-/r/_binary64_3849`
1×	`+-commutative_binary64_3851` `-commutative_binary64_3852` `clear-num_binary64_3787` `frac-2neg_binary64_3777` `div-inv_binary64_3785` `unswap-sqr_binary64_3812` `div-sub_binary64_3778` `cbrt-undiv_binary64_3754` `div-exp_binary64_3737` `diff-log_binary64_3700` `associate-r*_binary64_3843` `sub-neg_binary64_3788` `sum-log_binary64_3699`

Counts

4 → 73

Calls

4 calls:

3.0ms	(+.f64 x (*.f64 3/8 y))
5.0ms	(.f64 9/64 (.f64 y y))
4.0ms	(-.f64 (.f64 x x) (.f64 9/64 (*.f64 y y)))
8.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 9/64 (.f64 y y))) (+.f64 x (.f64 3/8 y)))

series125.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(+.f64 x (*.f64 3/8 y))
20.0ms	(.f64 9/64 (.f64 y y))
29.0ms	(-.f64 (.f64 x x) (.f64 9/64 (*.f64 y y)))
57.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 9/64 (.f64 y y))) (+.f64 x (.f64 3/8 y)))

simplify67.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5421	1461

prune222.0ms

Filtered

60 candidates to 85 candidates (-41.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	85	4	89

Merged error: 0.0b

Counts

89 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (*.f64 3/8 y))
0.1b	(.f64 y (.f64 y -9/64))
2.7b	(+.f64 (.f64 x x) (.f64 y (*.f64 y -9/64)))
31.6b	(/.f64 (+.f64 (.f64 x x) (.f64 y (.f64 y -9/64))) (+.f64 x (.f64 3/8 y)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64_3784` `add-sqr-sqrt_binary64_3769` `add-cube-cbrt_binary64_3755`
11×	`add-exp-log_binary64_3748` `add-cbrt-cube_binary64_3756`
9×	`times-frac_binary64_3779` `pow1_binary64_3730`
8×	`add-log-exp_binary64_3749`
4×	`flip-+_binary64_3809` `flip3-+_binary64_3782`
3×	`cbrt-unprod_binary64_3753` `prod-exp_binary64_3735` `associate-l_binary64_3844` `associate-/r_binary64_3847` `pow-prod-down_binary64_3711` `associate-/l_binary64_3848`
2×	`+-commutative_binary64_3851` `associate-/l/_binary64_3850` `associate-/r/_binary64_3849` `sum-log_binary64_3699`
1×	`-commutative_binary64_3852` `clear-num_binary64_3787` `frac-2neg_binary64_3777` `div-inv_binary64_3785` `cbrt-undiv_binary64_3754` `div-exp_binary64_3737` `associate-r*_binary64_3843`

Counts

4 → 71

Calls

4 calls:

3.0ms	(+.f64 x (*.f64 3/8 y))
5.0ms	(.f64 y (.f64 y -9/64))
4.0ms	(+.f64 (.f64 x x) (.f64 y (*.f64 y -9/64)))
9.0ms	(/.f64 (+.f64 (.f64 x x) (.f64 y (.f64 y -9/64))) (+.f64 x (.f64 3/8 y)))

series127.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(+.f64 x (*.f64 3/8 y))
21.0ms	(.f64 y (.f64 y -9/64))
33.0ms	(+.f64 (.f64 x x) (.f64 y (*.f64 y -9/64)))
55.0ms	(/.f64 (+.f64 (.f64 x x) (.f64 y (.f64 y -9/64))) (+.f64 x (.f64 3/8 y)))

simplify60.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5165	1581

prune195.0ms

Filtered

57 candidates to 83 candidates (-45.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	83	4	87

Merged error: 0.0b

Counts

87 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(/.f64 1 (+.f64 x (*.f64 3/8 y)))
0.2b	(.f64 9/64 (.f64 y y))
2.7b	(-.f64 (.f64 x x) (.f64 9/64 (*.f64 y y)))
31.6b	(.f64 (-.f64 (.f64 x x) (.f64 9/64 (.f64 y y))) (/.f64 1 (+.f64 x (*.f64 3/8 y))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt_binary64_3769`
22×	`*-un-lft-identity_binary64_3784`
21×	`add-cube-cbrt_binary64_3755`
20×	`times-frac_binary64_3779`
19×	`add-exp-log_binary64_3748`
16×	`add-cbrt-cube_binary64_3756` `associate-r_binary64_3843`
12×	`pow1_binary64_3730`
6×	`add-log-exp_binary64_3749` `prod-exp_binary64_3735` `associate-l_binary64_3844`
5×	`cbrt-unprod_binary64_3753`
4×	`pow-prod-down_binary64_3711` `unswap-sqr_binary64_3812` `associate-/r/_binary64_3849`
3×	`associate-/r_binary64_3847` `flip3--_binary64_3783` `associate-/l_binary64_3848` `flip--_binary64_3810`
2×	`-commutative_binary64_3852` `associate-l/_binary64_3846` `div-inv_binary64_3785` `frac-times_binary64_3776` `cbrt-undiv_binary64_3754` `flip-+_binary64_3809` `div-exp_binary64_3737` `flip3-+_binary64_3782` `rec-exp_binary64_3736`
1×	`un-div-inv_binary64_3786` `inv-pow_binary64_3706` `clear-num_binary64_3787` `frac-2neg_binary64_3777` `diff-log_binary64_3700` `associate-*r/_binary64_3845` `pow-flip_binary64_3714` `sub-neg_binary64_3788`

Counts

4 → 103

Calls

4 calls:

5.0ms	(/.f64 1 (+.f64 x (*.f64 3/8 y)))
5.0ms	(.f64 9/64 (.f64 y y))
4.0ms	(-.f64 (.f64 x x) (.f64 9/64 (*.f64 y y)))
12.0ms	(.f64 (-.f64 (.f64 x x) (.f64 9/64 (.f64 y y))) (/.f64 1 (+.f64 x (*.f64 3/8 y))))

series131.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/.f64 1 (+.f64 x (*.f64 3/8 y)))
18.0ms	(.f64 9/64 (.f64 y y))
28.0ms	(-.f64 (.f64 x x) (.f64 9/64 (*.f64 y y)))
58.0ms	(.f64 (-.f64 (.f64 x x) (.f64 9/64 (.f64 y y))) (/.f64 1 (+.f64 x (*.f64 3/8 y))))

simplify105.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	5758	1790

prune273.0ms

Filtered

77 candidates to 115 candidates (-49.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	115	4	119

Merged error: 0.0b

Counts

119 → 4

regimes132.0ms

Accuracy

0% (0.0b 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	33	7
1	33	7

end0.0ms

sample413.0ms

Algorithm

intervals

Results

186.0ms	7441×	body	80	valid
21.0ms	210×	body	1280	valid
12.0ms	151×	body	640	valid
8.0ms	83×	body	320	valid
8.0ms	66×	body	2560	valid
2.0ms	49×	body	160	valid

Details

analyze19.0ms

sample20.0ms

simplify16.0ms

prune15.0ms

localize12.0ms

rewrite4.0ms

series22.0ms

simplify95.0ms

prune62.0ms

localize15.0ms

rewrite22.0ms

series125.0ms

simplify67.0ms

prune222.0ms

localize15.0ms

rewrite23.0ms

series127.0ms

simplify60.0ms

prune195.0ms

localize17.0ms

rewrite30.0ms

series131.0ms

simplify105.0ms

prune273.0ms

regimes132.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample413.0ms

Profiling