Details

analyze1.6s

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

sample34.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
5.0ms	101×	body	80	invalid

simplify40.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	838	17
1	838	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: 3.8b

Counts

2 → 1

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (.f64 x 2.0) (.f64 (.f64 (.f64 y 9.0) z) t)) (.f64 (.f64 a 27.0) b))
0.2b	(.f64 (.f64 a 27.0) b)
0.2b	(.f64 (.f64 y 9.0) z)
6.2b	(.f64 (.f64 (*.f64 y 9.0) z) t)

rewrite27.0ms

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 2.0) (.f64 (.f64 (.f64 y 9.0) z) t)) (.f64 (.f64 a 27.0) b))
5.0ms	(.f64 (.f64 a 27.0) b)
5.0ms	(.f64 (.f64 y 9.0) z)
7.0ms	(.f64 (.f64 (*.f64 y 9.0) z) t)

series59.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+.f64 (-.f64 (.f64 x 2.0) (.f64 (.f64 (.f64 y 9.0) z) t)) (.f64 (.f64 a 27.0) b))
4.0ms	(.f64 (.f64 a 27.0) b)
5.0ms	(.f64 (.f64 y 9.0) z)
8.0ms	(.f64 (.f64 (*.f64 y 9.0) z) t)

simplify53.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5006	783

prune116.0ms

Filtered

47 candidates to 83 candidates (-76.6%)

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: 0.1b

Counts

84 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (.f64 x 2.0) (.f64 (.f64 y (.f64 9.0 z)) t)) (.f64 (.f64 a 27.0) b))
0.2b	(.f64 (.f64 a 27.0) b)
0.2b	(.f64 y (.f64 9.0 z))
6.2b	(.f64 (.f64 y (*.f64 9.0 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 2.0) (.f64 (.f64 y (.f64 9.0 z)) t)) (.f64 (.f64 a 27.0) b))
5.0ms	(.f64 (.f64 a 27.0) b)
5.0ms	(.f64 y (.f64 9.0 z))
7.0ms	(.f64 (.f64 y (*.f64 9.0 z)) t)

series61.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+.f64 (-.f64 (.f64 x 2.0) (.f64 (.f64 y (.f64 9.0 z)) t)) (.f64 (.f64 a 27.0) b))
4.0ms	(.f64 (.f64 a 27.0) b)
4.0ms	(.f64 y (.f64 9.0 z))
10.0ms	(.f64 (.f64 y (*.f64 9.0 z)) t)

simplify48.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5108	784

prune95.0ms

Filtered

47 candidates to 83 candidates (-76.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	82	1	83
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	84	8	92

Merged error: 0.0b

Counts

92 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (.f64 x 2.0) (.f64 (.f64 (.f64 y 9.0) z) t)) (.f64 a (.f64 27.0 b)))
0.2b	(.f64 (.f64 y 9.0) z)
0.2b	(.f64 a (.f64 27.0 b))
6.2b	(.f64 (.f64 (*.f64 y 9.0) z) t)

rewrite27.0ms

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 2.0) (.f64 (.f64 (.f64 y 9.0) z) t)) (.f64 a (.f64 27.0 b)))
5.0ms	(.f64 (.f64 y 9.0) z)
5.0ms	(.f64 a (.f64 27.0 b))
7.0ms	(.f64 (.f64 (*.f64 y 9.0) z) t)

series61.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+.f64 (-.f64 (.f64 x 2.0) (.f64 (.f64 (.f64 y 9.0) z) t)) (.f64 a (.f64 27.0 b)))
4.0ms	(.f64 (.f64 y 9.0) z)
5.0ms	(.f64 a (.f64 27.0 b))
10.0ms	(.f64 (.f64 (*.f64 y 9.0) z) t)

simplify47.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5074	782

prune96.0ms

Filtered

47 candidates to 83 candidates (-76.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	82	1	83
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	82	9	91

Merged error: 0.0b

Counts

91 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)
1.4b	(.f64 (.f64 (.f64 (.f64 y 9.0) z) (*.f64 (cbrt.f64 t) (cbrt.f64 t))) (cbrt.f64 t))
5.0b	(.f64 (.f64 (.f64 y 9.0) z) (.f64 (cbrt.f64 t) (cbrt.f64 t)))

rewrite36.0ms

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 (.f64 y 9.0) z) (*.f64 (cbrt.f64 t) (cbrt.f64 t))) (cbrt.f64 t))
14.0ms	(.f64 (.f64 (.f64 y 9.0) z) (.f64 (cbrt.f64 t) (cbrt.f64 t)))

series94.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(cbrt.f64 t)
22.0ms	(cbrt.f64 t)
14.0ms	(.f64 (.f64 (.f64 (.f64 y 9.0) z) (*.f64 (cbrt.f64 t) (cbrt.f64 t))) (cbrt.f64 t))
38.0ms	(.f64 (.f64 (.f64 y 9.0) z) (.f64 (cbrt.f64 t) (cbrt.f64 t)))

simplify46.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5188	741

prune70.0ms

Filtered

53 candidates to 98 candidates (-84.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	98	9	107

Merged error: 0.0b

Counts

107 → 9

regimes1.9s

Accuracy

68.6% (1.1b remaining)

Error of 1.2b 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	136	47
1	136	47

end0.0ms

sample988.0ms

Algorithm

intervals

Results

420.0ms	8000×	body	80	valid
165.0ms	2984×	body	80	invalid

Details

analyze1.6s

sample34.0ms

simplify40.0ms

prune4.0ms

localize17.0ms

rewrite27.0ms

series59.0ms

simplify53.0ms

prune116.0ms

localize12.0ms

rewrite28.0ms

series61.0ms

simplify48.0ms

prune95.0ms

localize13.0ms

rewrite27.0ms

series61.0ms

simplify47.0ms

prune96.0ms

localize17.0ms

rewrite36.0ms

series94.0ms

simplify46.0ms

prune70.0ms

regimes1.9s

bsearch1.0ms

simplify3.0ms

end0.0ms

sample988.0ms

Profiling