Details

analyze2.0s

Algorithm

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

sample39.0ms

Algorithm

intervals

Results

20.0ms	256×	body	80	valid
1.0ms	7×	body	80	invalid

simplify166.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (163.0ms)

Iter	Nodes	Cost
0	4834	33
1	4834	33

prune12.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 30.2b

Counts

2 → 1

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 (+.f64 (.f64 (+.f64 y a) y) b) y)
0.1b	(.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y)
0.1b	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 27464.7644705) y)
29.4b	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64`
18×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`pow1_binary64`
9×	`associate-r_binary64` `associate-l_binary64` `times-frac_binary64`
6×	`associate-*l/_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `associate-/r_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `associate-/l_binary64` `*-commutative_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64`
1×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

4 → 91

Calls

4 calls:

10.0ms	(.f64 (+.f64 (.f64 (+.f64 y a) y) b) y)
13.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y)
11.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 27464.7644705) y)
29.0ms	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))

series223.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(.f64 (+.f64 (.f64 (+.f64 y a) y) b) y)
21.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y)
17.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 27464.7644705) y)
175.0ms	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))

simplify63.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4967	2299
1	4967	2299

prune232.0ms

Filtered

88 candidates to 103 candidates (-17.0%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	89	14	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	14	104

Merged error: 29.2b

Counts

104 → 14

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c))
0.1b	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 27464.7644705) y)
0.5b	(/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))
29.2b	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i)))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt_binary64`
25×	`*-un-lft-identity_binary64`
24×	`add-cube-cbrt_binary64`
21×	`associate-r_binary64` `add-exp-log_binary64`
20×	`times-frac_binary64`
15×	`add-cbrt-cube_binary64`
11×	`pow1_binary64`
9×	`associate-l_binary64`
6×	`flip3-+_binary64` `prod-exp_binary64` `flip-+_binary64`
5×	`unswap-sqr_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `associate-/r/_binary64` `div-exp_binary64` `associate-*l/_binary64`
3×	`pow-prod-down_binary64` `associate-/r_binary64` `associate-r/_binary64` `associate-/l_binary64` `-commutative_binary64`
2×	`1-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64` `div-inv_binary64` `frac-times_binary64`
1×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `un-div-inv_binary64` `pow-flip_binary64`

Counts

4 → 117

Calls

4 calls:

15.0ms	(.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c))
11.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 27464.7644705) y)
15.0ms	(/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))
33.0ms	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i)))

series242.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c))
18.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 27464.7644705) y)
27.0ms	(/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))
177.0ms	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i)))

simplify65.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4996	3023
1	4996	3023

prune196.0ms

Filtered

92 candidates to 129 candidates (-40.2%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	13	13
Picked	0	1	1
Done	0	0	0
Total	129	14	143

Merged error: 29.2b

Counts

143 → 14

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
29.4b	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 27464.7644705) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)) 230661.510616) y) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`times-frac_binary64` `cbrt-prod_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `pow1_binary64`
3×	`associate-/r_binary64` `pow1/3_binary64` `associate-/l_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `flip-+_binary64`
1×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

4 → 64

Calls

4 calls:

1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
37.0ms	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 27464.7644705) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)) 230661.510616) y) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))

series203.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(cbrt.f64 y)
17.0ms	(cbrt.f64 y)
17.0ms	(cbrt.f64 y)
151.0ms	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 27464.7644705) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)) 230661.510616) y) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))

simplify37.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5220	1594

prune146.0ms

Filtered

64 candidates to 76 candidates (-18.8%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	12	12
Picked	0	1	1
Done	0	1	1
Total	76	14	90

Merged error: 29.2b

Counts

90 → 14

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
29.4b	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+.f64 (.f64 (+.f64 (.f64 (.f64 (+.f64 (.f64 y (+.f64 y a)) b) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)) c) y) i))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`times-frac_binary64` `cbrt-prod_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `pow1_binary64`
3×	`associate-/r_binary64` `pow1/3_binary64` `associate-/l_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `flip-+_binary64`
1×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

4 → 64

Calls

4 calls:

1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
35.0ms	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+.f64 (.f64 (+.f64 (.f64 (.f64 (+.f64 (.f64 y (+.f64 y a)) b) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)) c) y) i))

series246.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(cbrt.f64 y)
17.0ms	(cbrt.f64 y)
18.0ms	(cbrt.f64 y)
195.0ms	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+.f64 (.f64 (+.f64 (.f64 (.f64 (+.f64 (.f64 y (+.f64 y a)) b) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)) c) y) i))

simplify34.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5239	1594

prune76.0ms

Filtered

59 candidates to 76 candidates (-28.8%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	11	11
Picked	0	1	1
Done	0	2	2
Total	76	14	90

Merged error: 29.2b

Counts

90 → 14

regimes1.2s

Accuracy

0% (1.1b remaining)

Error of 29.0b against oracle of 27.8b and baseline of 29.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	45	35
1	45	35

end0.0ms

sample1.1s

Algorithm

intervals

Results

700.0ms	8000×	body	80	valid
17.0ms	208×	body	80	invalid

Details

analyze2.0s

sample39.0ms

simplify166.0ms

prune12.0ms

localize27.0ms

rewrite66.0ms

series223.0ms

simplify63.0ms

prune232.0ms

localize23.0ms

rewrite76.0ms

series242.0ms

simplify65.0ms

prune196.0ms

localize30.0ms

rewrite43.0ms

series203.0ms

simplify37.0ms

prune146.0ms

localize28.0ms

rewrite40.0ms

series246.0ms

simplify34.0ms

prune76.0ms

regimes1.2s

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.1s

Profiling