Details

analyze1.5s

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

sample41.0ms

Algorithm

intervals

Results

18.0ms	256×	body	80	valid
5.0ms	98×	body	80	invalid

simplify41.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	787	17
1	787	17

prune5.0ms

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: 3.8b

Counts

2 → 1

localize13.0ms

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))
0.2b	(.f64 (.f64 y 9) z)
0.2b	(.f64 (.f64 a 27) b)
8.0b	(.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 y 9) z)
5.0ms	(.f64 (.f64 a 27) b)
7.0ms	(.f64 (.f64 (*.f64 y 9) z) t)

series57.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+.f64 (-.f64 (.f64 x 2) (.f64 (.f64 (.f64 y 9) z) t)) (.f64 (.f64 a 27) b))
4.0ms	(.f64 (.f64 y 9) z)
6.0ms	(.f64 (.f64 a 27) b)
7.0ms	(.f64 (.f64 (*.f64 y 9) z) t)

simplify51.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5080	779

prune119.0ms

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

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (-.f64 (.f64 x 2) (.f64 (.f64 y 9) (.f64 z t))) (.f64 (.f64 a 27) b))
0.2b	(.f64 (.f64 a 27) b)
8.4b	(.f64 (.f64 y 9) (*.f64 z t))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 54

Calls

3 calls:

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))

series50.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(+.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))

simplify32.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5391	664

prune88.0ms

Filtered

36 candidates to 63 candidates (-75.0%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	62	1	63
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	62	10	72

Merged error: 0.0b

Counts

72 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (.f64 x 2) (.f64 y (.f64 9 (.f64 z t)))) (.f64 (.f64 a 27) b))
0.2b	(.f64 (.f64 a 27) b)
0.3b	(.f64 9 (.f64 z t))
8.3b	(.f64 y (.f64 9 (*.f64 z t)))

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×	`*-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 y (.f64 9 (.f64 z t)))) (.f64 (.f64 a 27) b))
5.0ms	(.f64 (.f64 a 27) b)
5.0ms	(.f64 9 (.f64 z t))
7.0ms	(.f64 y (.f64 9 (*.f64 z t)))

series59.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+.f64 (-.f64 (.f64 x 2) (.f64 y (.f64 9 (.f64 z t)))) (.f64 (.f64 a 27) b))
4.0ms	(.f64 (.f64 a 27) b)
4.0ms	(.f64 9 (.f64 z t))
10.0ms	(.f64 y (.f64 9 (*.f64 z t)))

simplify34.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5613	776

prune101.0ms

Filtered

47 candidates to 83 candidates (-76.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	81	2	83
Fresh	1	7	8
Picked	1	0	1
Done	0	1	1
Total	83	10	93

Merged error: 0.0b

Counts

93 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (.f64 x 2) (.f64 y (.f64 (.f64 9 z) t))) (.f64 (.f64 a 27) b))
0.2b	(.f64 (.f64 a 27) b)
0.3b	(.f64 (.f64 9 z) t)
8.3b	(.f64 y (.f64 (*.f64 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`
7×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
5×	`associate-l_binary64`
3×	`*-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 y (.f64 (.f64 9 z) t))) (.f64 (.f64 a 27) b))
5.0ms	(.f64 (.f64 a 27) b)
5.0ms	(.f64 (.f64 9 z) t)
7.0ms	(.f64 y (.f64 (*.f64 9 z) t))

series56.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+.f64 (-.f64 (.f64 x 2) (.f64 y (.f64 (.f64 9 z) t))) (.f64 (.f64 a 27) b))
4.0ms	(.f64 (.f64 a 27) b)
6.0ms	(.f64 (.f64 9 z) t)
7.0ms	(.f64 y (.f64 (*.f64 9 z) t))

simplify51.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5047	780

prune60.0ms

Filtered

48 candidates to 83 candidates (-72.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	83	10	93

Merged error: 0.0b

Counts

93 → 10

regimes1.7s

Accuracy

66.9% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 3.6b

bsearch1.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	124	51
1	124	51

end0.0ms

sample1.0s

Algorithm

intervals

Results

430.0ms	8000×	body	80	valid
170.0ms	3044×	body	80	invalid

Details

analyze1.5s

sample41.0ms

simplify41.0ms

prune5.0ms

localize13.0ms

rewrite28.0ms

series57.0ms

simplify51.0ms

prune119.0ms

localize15.0ms

rewrite22.0ms

series50.0ms

simplify32.0ms

prune88.0ms

localize13.0ms

rewrite29.0ms

series59.0ms

simplify34.0ms

prune101.0ms

localize13.0ms

rewrite28.0ms

series56.0ms

simplify51.0ms

prune60.0ms

regimes1.7s

bsearch1.0ms

simplify4.0ms

end0.0ms

sample1.0s

Profiling