Details

analyze641.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
9.4%	90.4%	0.2%	10
23.4%	74.9%	1.8%	11
27.3%	69%	3.7%	12
36.6%	56.5%	6.8%	13
40.5%	52%	7.4%	14

sample21.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
2.0ms	68×	body	80	invalid

simplify41.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	439	10
1	439	10

prune3.0ms

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

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b	(-.f64 (.f64 x y) (.f64 z y))
4.4b	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64`
4×	`-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l*_binary64`
3×	`associate-r_binary64`
2×	`flip3--_binary64` `distribute-rgt-out--_binary64` `flip--_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

2 → 33

Calls

2 calls:

4.0ms	(-.f64 (.f64 x y) (.f64 z y))
6.0ms	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)

series90.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(-.f64 (.f64 x y) (.f64 z y))
58.0ms	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)

simplify81.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5070	471

prune35.0ms

Filtered

29 candidates to 39 candidates (-34.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	32	7	39
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	32	9	41

Merged error: 0.0b

Counts

41 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z y))) (cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))) (.f64 t (cbrt.f64 (.f64 y (-.f64 x z)))))
6.0b	(cbrt.f64 (*.f64 y (-.f64 x z)))
6.0b	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))
6.0b	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div_binary64`
46×	`associate-*r/_binary64`
30×	`flip3--_binary64` `flip--_binary64`
28×	`frac-times_binary64`
16×	`pow1_binary64` `add-exp-log_binary64`
14×	`associate-*l/_binary64`
10×	`add-cbrt-cube_binary64`
9×	`cbrt-prod_binary64`
8×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
6×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64`
3×	`pow1/3_binary64`
2×	`distribute-rgt-out--_binary64`
1×	`associate-r_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

19.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z y))) (cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))) (.f64 t (cbrt.f64 (.f64 y (-.f64 x z)))))
5.0ms	(cbrt.f64 (*.f64 y (-.f64 x z)))
4.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))
4.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))

series822.0ms

Counts

4 → 12

Calls

4 calls:

386.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z y))) (cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))) (.f64 t (cbrt.f64 (.f64 y (-.f64 x z)))))
148.0ms	(cbrt.f64 (*.f64 y (-.f64 x z)))
158.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))
130.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))

simplify87.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4974	3031
1	4974	3031

prune94.0ms

Filtered

79 candidates to 99 candidates (-25.3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	98	10	108

Merged error: 0.0b

Counts

108 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z y))) (cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))) (.f64 t (.f64 (cbrt.f64 y) (cbrt.f64 (-.f64 x z)))))
0.6b	(cbrt.f64 y)
6.0b	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))
6.0b	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

58×	`cbrt-div_binary64`
44×	`associate-*r/_binary64`
29×	`flip3--_binary64` `flip--_binary64`
28×	`frac-times_binary64`
25×	`pow1_binary64` `add-exp-log_binary64`
15×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `add-cbrt-cube_binary64` `prod-exp_binary64`
14×	`associate-*l/_binary64`
11×	`cbrt-prod_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64`
3×	`pow1/3_binary64`
2×	`distribute-rgt-out--_binary64`
1×	`associate-r_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

4 → 93

Calls

4 calls:

23.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z y))) (cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))) (.f64 t (.f64 (cbrt.f64 y) (cbrt.f64 (-.f64 x z)))))
1.0ms	(cbrt.f64 y)
4.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))
4.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))

series728.0ms

Counts

4 → 12

Calls

4 calls:

377.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z y))) (cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))) (.f64 t (.f64 (cbrt.f64 y) (cbrt.f64 (-.f64 x z)))))
86.0ms	(cbrt.f64 y)
128.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))
137.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))

simplify115.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4983	3527
1	4983	3527

prune94.0ms

Filtered

77 candidates to 105 candidates (-36.4%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	104	1	105
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	104	11	115

Merged error: 0.0b

Counts

115 → 11

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z y))) (.f64 (cbrt.f64 y) (cbrt.f64 (-.f64 x z)))) (.f64 t (*.f64 (cbrt.f64 y) (cbrt.f64 (-.f64 x z)))))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
6.0b	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

62×	`associate-*r/_binary64`
56×	`cbrt-div_binary64`
40×	`pow1_binary64` `add-exp-log_binary64`
28×	`flip3--_binary64` `flip--_binary64` `frac-times_binary64`
27×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
22×	`add-cbrt-cube_binary64`
14×	`associate-*l/_binary64`
10×	`cbrt-prod_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64`
3×	`pow1/3_binary64`
1×	`associate-r_binary64` `distribute-rgt-out--_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

4 → 99

Calls

4 calls:

24.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z y))) (.f64 (cbrt.f64 y) (cbrt.f64 (-.f64 x z)))) (.f64 t (*.f64 (cbrt.f64 y) (cbrt.f64 (-.f64 x z)))))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
4.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))

series674.0ms

Counts

4 → 12

Calls

4 calls:

372.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z y))) (.f64 (cbrt.f64 y) (cbrt.f64 (-.f64 x z)))) (.f64 t (*.f64 (cbrt.f64 y) (cbrt.f64 (-.f64 x z)))))
83.0ms	(cbrt.f64 y)
84.0ms	(cbrt.f64 y)
136.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))

simplify133.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	4965	3610
1	4965	3610

prune86.0ms

Filtered

78 candidates to 111 candidates (-42.3%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	109	2	111
Fresh	1	6	7
Picked	1	0	1
Done	0	3	3
Total	111	11	122

Merged error: 0b

Counts

122 → 11

regimes161.0ms

Accuracy

35.7% (1.5b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 2.4b

bsearch1.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	55	55
1	55	55

end0.0ms

sample559.0ms

Algorithm

intervals

Results

243.0ms	8000×	body	80	valid
62.0ms	1965×	body	80	invalid

Details

analyze641.0ms

sample21.0ms

simplify41.0ms

prune3.0ms

localize7.0ms

rewrite11.0ms

series90.0ms

simplify81.0ms

prune35.0ms

localize14.0ms

rewrite37.0ms

series822.0ms

simplify87.0ms

prune94.0ms

localize15.0ms

rewrite38.0ms

series728.0ms

simplify115.0ms

prune94.0ms

localize17.0ms

rewrite36.0ms

series674.0ms

simplify133.0ms

prune86.0ms

regimes161.0ms

bsearch1.0ms

simplify4.0ms

end0.0ms

sample559.0ms

Profiling