Details

analyze1.4s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.6%	98.1%	0.3%	13
2.3%	97.4%	0.3%	14

sample37.0ms

Algorithm

intervals

Results

16.0ms	256×	body	80	valid
5.0ms	100×	body	80	invalid

simplify39.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	787	17
1	787	17

prune4.0ms

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: 4.0b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (.f64 x 2) (.f64 (.f64 (.f64 y 9) z) t)) (.f64 (.f64 a 27) b))
0.5b	(.f64 (.f64 a 27) b)
0.5b	(.f64 (.f64 y 9) z)
6.2b	(.f64 (.f64 (*.f64 y 9) z) t)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
9×	`add-log-exp_binary64` `associate-r_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
3×	`associate-l_binary64` `*-commutative_binary64`
2×	`sum-log_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `associate-+l+_binary64` `associate-+l-_binary64` `+-commutative_binary64` `flip-+_binary64`

Counts

4 → 71

Calls

4 calls:

8.0ms	(+.f64 (-.f64 (.f64 x 2) (.f64 (.f64 (.f64 y 9) z) t)) (.f64 (.f64 a 27) b))
5.0ms	(.f64 (.f64 a 27) b)
5.0ms	(.f64 (.f64 y 9) z)
7.0ms	(.f64 (.f64 (*.f64 y 9) z) t)

series56.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+.f64 (-.f64 (.f64 x 2) (.f64 (.f64 (.f64 y 9) z) t)) (.f64 (.f64 a 27) b))
4.0ms	(.f64 (.f64 a 27) b)
4.0ms	(.f64 (.f64 y 9) z)
7.0ms	(.f64 (.f64 (*.f64 y 9) z) t)

simplify49.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5080	779

prune87.0ms

Filtered

48 candidates to 83 candidates (-72.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	74	9	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	75	9	84

Merged error: 0.0b

Counts

84 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 x 2) (.f64 (.f64 y 9) (.f64 z t)))
0.0b	(+.f64 (-.f64 (.f64 x 2) (.f64 (.f64 y 9) (.f64 z t))) (.f64 (.f64 a 27) b))
0.5b	(.f64 (.f64 a 27) b)
5.5b	(.f64 (.f64 y 9) (*.f64 z t))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

21×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`associate-r_binary64`
2×	`sub-neg_binary64` `diff-log_binary64` `associate-l_binary64` `sum-log_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `flip3--_binary64` `associate-+l+_binary64` `associate-+l-_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64`

Counts

4 → 65

Calls

4 calls:

4.0ms	(-.f64 (.f64 x 2) (.f64 (.f64 y 9) (.f64 z t)))
8.0ms	(+.f64 (-.f64 (.f64 x 2) (.f64 (.f64 y 9) (.f64 z t))) (.f64 (.f64 a 27) b))
5.0ms	(.f64 (.f64 a 27) b)
7.0ms	(.f64 (.f64 y 9) (*.f64 z t))

series67.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(-.f64 (.f64 x 2) (.f64 (.f64 y 9) (.f64 z t)))
40.0ms	(+.f64 (-.f64 (.f64 x 2) (.f64 (.f64 y 9) (.f64 z t))) (.f64 (.f64 a 27) b))
4.0ms	(.f64 (.f64 a 27) b)
7.0ms	(.f64 (.f64 y 9) (*.f64 z t))

simplify52.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5001	876

prune74.0ms

Filtered

48 candidates to 77 candidates (-60.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	74	3	77
Fresh	4	4	8
Picked	0	1	1
Done	0	0	0
Total	78	8	86

Merged error: 0.0b

Counts

86 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 (.f64 x 2) (.f64 y (.f64 z (.f64 t -9)))) (.f64 (.f64 a 27) b))
0.2b	(.f64 z (.f64 t -9))
0.5b	(.f64 (.f64 a 27) b)
5.3b	(.f64 y (.f64 z (*.f64 t -9)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
9×	`add-log-exp_binary64`
7×	`-un-lft-identity_binary64` `add-cube-cbrt_binary64` `associate-l*_binary64` `add-sqr-sqrt_binary64`
5×	`associate-r_binary64`
3×	`sum-log_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `associate-+l+_binary64` `+-commutative_binary64` `flip-+_binary64`

Counts

4 → 70

Calls

4 calls:

9.0ms	(+.f64 (+.f64 (.f64 x 2) (.f64 y (.f64 z (.f64 t -9)))) (.f64 (.f64 a 27) b))
6.0ms	(.f64 z (.f64 t -9))
5.0ms	(.f64 (.f64 a 27) b)
8.0ms	(.f64 y (.f64 z (*.f64 t -9)))

series55.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+.f64 (+.f64 (.f64 x 2) (.f64 y (.f64 z (.f64 t -9)))) (.f64 (.f64 a 27) b))
4.0ms	(.f64 z (.f64 t -9))
4.0ms	(.f64 (.f64 a 27) b)
8.0ms	(.f64 y (.f64 z (*.f64 t -9)))

simplify53.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4974	764
1	4974	764

prune64.0ms

Filtered

47 candidates to 82 candidates (-74.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	83	7	90

Merged error: 0.0b

Counts

90 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

5.5b	(.f64 (.f64 y 9) (*.f64 z t))
11.6b	(cbrt.f64 (.f64 (.f64 y 9) (*.f64 z t)))
11.6b	(cbrt.f64 (.f64 (.f64 y 9) (*.f64 z t)))
11.6b	(cbrt.f64 (.f64 (.f64 y 9) (*.f64 z t)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
4×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
3×	`pow1/3_binary64` `cbrt-prod_binary64`
1×	`associate-r_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

4 → 49

Calls

4 calls:

7.0ms	(.f64 (.f64 y 9) (*.f64 z t))
6.0ms	(cbrt.f64 (.f64 (.f64 y 9) (*.f64 z t)))
6.0ms	(cbrt.f64 (.f64 (.f64 y 9) (*.f64 z t)))
5.0ms	(cbrt.f64 (.f64 (.f64 y 9) (*.f64 z t)))

series88.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(.f64 (.f64 y 9) (*.f64 z t))
26.0ms	(cbrt.f64 (.f64 (.f64 y 9) (*.f64 z t)))
28.0ms	(cbrt.f64 (.f64 (.f64 y 9) (*.f64 z t)))
27.0ms	(cbrt.f64 (.f64 (.f64 y 9) (*.f64 z t)))

simplify73.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4985	514
1	4985	514

prune45.0ms

Filtered

41 candidates to 61 candidates (-48.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	61	7	68

Merged error: 0.0b

Counts

68 → 7

regimes1.3s

Accuracy

81.7% (0.7b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 3.6b

bsearch1.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	124	51
1	124	51

end0.0ms

sample951.0ms

Algorithm

intervals

Results

401.0ms	8000×	body	80	valid
155.0ms	3050×	body	80	invalid

Details

analyze1.4s

sample37.0ms

simplify39.0ms

prune4.0ms

localize12.0ms

rewrite28.0ms

series56.0ms

simplify49.0ms

prune87.0ms

localize11.0ms

rewrite27.0ms

series67.0ms

simplify52.0ms

prune74.0ms

localize17.0ms

rewrite29.0ms

series55.0ms

simplify53.0ms

prune64.0ms

localize16.0ms

rewrite25.0ms

series88.0ms

simplify73.0ms

prune45.0ms

regimes1.3s

bsearch1.0ms

simplify3.0ms

end0.0ms

sample951.0ms

Profiling