Details

analyze4.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
62.5%	12.5%	25%	5
68.7%	6.2%	25%	6
71.8%	3.1%	25%	7
73.4%	1.6%	25%	8
74.2%	0.8%	25%	9
74.6%	0.4%	25%	10
74.8%	0.2%	25%	11
74.9%	0.1%	25%	12
74.9%	0%	25.1%	13
74.9%	0%	25.1%	14

sample12.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify32.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	616	9
1	616	9

prune4.0ms

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: 0.1b

Counts

2 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 3 (.f64 x (+.f64 (.f64 x 9) -12)))
0.0b	(+.f64 (*.f64 x 9) -12)
0.1b	(.f64 x (+.f64 (.f64 x 9) -12))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-log-exp_binary64` `add-sqr-sqrt_binary64`
5×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`flip3-+_binary64` `associate-r_binary64` `associate-l_binary64` `flip-+_binary64`
2×	`associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `+-commutative_binary64` `associate-+r+_binary64` `sum-log_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

3 → 46

Calls

3 calls:

4.0ms	(+.f64 3 (.f64 x (+.f64 (.f64 x 9) -12)))
5.0ms	(+.f64 (*.f64 x 9) -12)
7.0ms	(.f64 x (+.f64 (.f64 x 9) -12))

series14.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(+.f64 3 (.f64 x (+.f64 (.f64 x 9) -12)))
4.0ms	(+.f64 (*.f64 x 9) -12)
6.0ms	(.f64 x (+.f64 (.f64 x 9) -12))

simplify69.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4891	498
1	4891	498

prune45.0ms

Filtered

38 candidates to 55 candidates (-44.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	50	5	55
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	50	7	57

Merged error: 0b

Counts

57 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4)) 1)
0.0b	(-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4))
0.1b	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
0.2b	(.f64 (.f64 x 3) x)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-sqr-sqrt_binary64`
7×	`associate-r_binary64` `add-cube-cbrt_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64`
2×	`flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `distribute-lft-out_binary64` `associate-r/_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`
1×	`flip3--_binary64` `associate-+l+_binary64` `distribute-lft-in_binary64` `associate-+l-_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `+-commutative_binary64` `flip--_binary64`

Counts

4 → 67

Calls

4 calls:

8.0ms	(+.f64 (-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4)) 1)
6.0ms	(-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4))
11.0ms	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
6.0ms	(.f64 (.f64 x 3) x)

series18.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(+.f64 (-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4)) 1)
8.0ms	(-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4))
4.0ms	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
3.0ms	(.f64 (.f64 x 3) x)

simplify54.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5571	774

prune51.0ms

Filtered

54 candidates to 79 candidates (-46.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	79	7	86

Merged error: 0b

Counts

86 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x (.f64 x 81)) -144)
0.1b	(.f64 x (/.f64 (+.f64 (.f64 x (.f64 x 81)) -144) (-.f64 (.f64 x 9) -12)))
0.1b	(/.f64 (+.f64 (.f64 x (.f64 x 81)) -144) (-.f64 (*.f64 x 9) -12))
0.2b	(.f64 x (.f64 x 81))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64`
21×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
19×	`times-frac_binary64`
16×	`associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`pow1_binary64`
6×	`add-log-exp_binary64` `associate-l_binary64`
5×	`cbrt-unprod_binary64` `prod-exp_binary64`
4×	`pow-prod-down_binary64` `associate-/r/_binary64`
3×	`associate-/r_binary64` `associate-/l_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `flip-+_binary64` `*-commutative_binary64`
1×	`associate-*r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 94

Calls

4 calls:

6.0ms	(+.f64 (.f64 x (.f64 x 81)) -144)
14.0ms	(.f64 x (/.f64 (+.f64 (.f64 x (.f64 x 81)) -144) (-.f64 (.f64 x 9) -12)))
12.0ms	(/.f64 (+.f64 (.f64 x (.f64 x 81)) -144) (-.f64 (*.f64 x 9) -12))
8.0ms	(.f64 x (.f64 x 81))

series34.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(+.f64 (.f64 x (.f64 x 81)) -144)
14.0ms	(.f64 x (/.f64 (+.f64 (.f64 x (.f64 x 81)) -144) (-.f64 (.f64 x 9) -12)))
10.0ms	(/.f64 (+.f64 (.f64 x (.f64 x 81)) -144) (-.f64 (*.f64 x 9) -12))
4.0ms	(.f64 x (.f64 x 81))

simplify46.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4900	1416
1	4900	1416

prune73.0ms

Filtered

71 candidates to 106 candidates (-49.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	106	7	113

Merged error: 0b

Counts

113 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.8b	(cbrt.f64 (+.f64 (*.f64 x 9) -12))
0.8b	(cbrt.f64 (+.f64 (*.f64 x 9) -12))
0.8b	(cbrt.f64 (+.f64 (*.f64 x 9) -12))
0.9b	(.f64 (cbrt.f64 (+.f64 (.f64 x 9) -12)) (cbrt.f64 (+.f64 (*.f64 x 9) -12)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

5.0ms	(cbrt.f64 (+.f64 (*.f64 x 9) -12))
5.0ms	(cbrt.f64 (+.f64 (*.f64 x 9) -12))
4.0ms	(cbrt.f64 (+.f64 (*.f64 x 9) -12))
13.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x 9) -12)) (cbrt.f64 (+.f64 (*.f64 x 9) -12)))

series36.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(cbrt.f64 (+.f64 (*.f64 x 9) -12))
8.0ms	(cbrt.f64 (+.f64 (*.f64 x 9) -12))
8.0ms	(cbrt.f64 (+.f64 (*.f64 x 9) -12))
11.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x 9) -12)) (cbrt.f64 (+.f64 (*.f64 x 9) -12)))

simplify66.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4977	1215
1	4977	1215

prune100.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	99	7	106

Merged error: 0b

Counts

106 → 7

regimes93.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	9
1	12	9

end0.0ms

sample343.0ms

Algorithm

intervals

Results

253.0ms	8000×	body	80	valid
0.0ms	3×	body	80	invalid

Details

analyze4.0ms

sample12.0ms

simplify32.0ms

prune4.0ms

localize6.0ms

rewrite17.0ms

series14.0ms

simplify69.0ms

prune45.0ms

localize10.0ms

rewrite33.0ms

series18.0ms

simplify54.0ms

prune51.0ms

localize10.0ms

rewrite43.0ms

series34.0ms

simplify46.0ms

prune73.0ms

localize9.0ms

rewrite31.0ms

series36.0ms

simplify66.0ms

prune100.0ms

regimes93.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample343.0ms

Profiling