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

sample37.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
9.0ms	98×	body	80	invalid

simplify40.0ms

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: 2.9b

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))
0.2b	(.f64 (.f64 y 9) z)
0.2b	(.f64 (.f64 a 27) b)
6.7b	(.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)
8.0ms	(.f64 (.f64 (*.f64 y 9) z) t)

series53.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+.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)

simplify49.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5080	779

prune78.0ms

Filtered

48 candidates to 83 candidates (-72.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	76	7	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	7	84

Merged error: 0.0b

Counts

84 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 x 2) (.f64 (.f64 (.f64 y 9) z) t))
0.2b	(.f64 (.f64 y 9) z)
0.2b	(.f64 a (.f64 27 b))
6.7b	(.f64 (.f64 (*.f64 y 9) z) t)

rewrite24.0ms

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`
7×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`add-log-exp_binary64`
5×	`associate-l_binary64`
3×	`*-commutative_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `flip--_binary64`

Counts

4 → 68

Calls

4 calls:

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

series31.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(-.f64 (.f64 x 2) (.f64 (.f64 (.f64 y 9) z) t))
4.0ms	(.f64 (.f64 y 9) z)
4.0ms	(.f64 a (.f64 27 b))
7.0ms	(.f64 (.f64 (*.f64 y 9) z) t)

simplify42.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5036	635

prune255.0ms

Filtered

46 candidates to 80 candidates (-73.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	80	7	87

Merged error: 0.0b

Counts

87 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (.f64 x 2) (.f64 (.f64 y (.f64 9 z)) t)) (.f64 (.f64 a 27) b))
0.2b	(.f64 y (.f64 9 z))
0.2b	(.f64 (.f64 a 27) b)
6.7b	(.f64 (.f64 y (*.f64 9 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` `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 (.f64 y (.f64 9 z)) t)) (.f64 (.f64 a 27) b))
5.0ms	(.f64 y (.f64 9 z))
6.0ms	(.f64 (.f64 a 27) b)
7.0ms	(.f64 (.f64 y (*.f64 9 z)) t)

series54.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+.f64 (-.f64 (.f64 x 2) (.f64 (.f64 y (.f64 9 z)) t)) (.f64 (.f64 a 27) b))
4.0ms	(.f64 y (.f64 9 z))
6.0ms	(.f64 (.f64 a 27) b)
7.0ms	(.f64 (.f64 y (*.f64 9 z)) t)

simplify51.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5029	780

prune64.0ms

Filtered

48 candidates to 83 candidates (-72.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	81	2	83
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	82	8	90

Merged error: 0.0b

Counts

90 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)
1.8b	(.f64 (.f64 (.f64 y (.f64 9 z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))) (cbrt.f64 t))
5.2b	(.f64 (.f64 y (.f64 9 z)) (.f64 (cbrt.f64 t) (cbrt.f64 t)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)
16.0ms	(.f64 (.f64 (.f64 y (.f64 9 z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))) (cbrt.f64 t))
12.0ms	(.f64 (.f64 y (.f64 9 z)) (.f64 (cbrt.f64 t) (cbrt.f64 t)))

series74.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(cbrt.f64 t)
17.0ms	(cbrt.f64 t)
11.0ms	(.f64 (.f64 (.f64 y (.f64 9 z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))) (cbrt.f64 t))
31.0ms	(.f64 (.f64 y (.f64 9 z)) (.f64 (cbrt.f64 t) (cbrt.f64 t)))

simplify42.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5096	743

prune44.0ms

Filtered

52 candidates to 98 candidates (-88.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	97	9	106

Merged error: 0.0b

Counts

106 → 9

regimes1.2s

Accuracy

86.4% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 3.8b

bsearch1.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	146	67
1	146	67

end0.0ms

sample894.0ms

Algorithm

intervals

Results

391.0ms	8000×	body	80	valid
142.0ms	2939×	body	80	invalid

Details

analyze1.5s

sample37.0ms

simplify40.0ms

prune4.0ms

localize12.0ms

rewrite28.0ms

series53.0ms

simplify49.0ms

prune78.0ms

localize12.0ms

rewrite24.0ms

series31.0ms

simplify42.0ms

prune255.0ms

localize13.0ms

rewrite29.0ms

series54.0ms

simplify51.0ms

prune64.0ms

localize19.0ms

rewrite34.0ms

series74.0ms

simplify42.0ms

prune44.0ms

regimes1.2s

bsearch1.0ms

simplify3.0ms

end0.0ms

sample894.0ms

Profiling