Details

analyze1.7s

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

sample58.0ms

Algorithm

intervals

Results

15.0ms	256×	body	80	valid
13.0ms	224×	body	80	invalid

simplify403.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (400.0ms)

Iter	Nodes	Cost
0	2661	19
1	2661	19

prune11.0ms

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: 5.2b

Counts

2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 a (*.f64 b c))
0.0b	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (.f64 (+.f64 a (*.f64 b c)) c) i))
0.1b	(.f64 (+.f64 a (.f64 b c)) c)
6.6b	(.f64 (.f64 (+.f64 a (*.f64 b c)) c) i)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

14×	`associate-*l/_binary64`
11×	`add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-sqr-sqrt_binary64`
7×	`flip3-+_binary64` `*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `flip-+_binary64`
6×	`associate-r_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64` `frac-sub_binary64`
2×	`diff-log_binary64` `sum-log_binary64` `*-commutative_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `unswap-sqr_binary64` `+-commutative_binary64` `flip--_binary64` `associate--l+_binary64`

Counts

4 → 68

Calls

4 calls:

3.0ms	(+.f64 a (*.f64 b c))
9.0ms	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (.f64 (+.f64 a (*.f64 b c)) c) i))
6.0ms	(.f64 (+.f64 a (.f64 b c)) c)
7.0ms	(.f64 (.f64 (+.f64 a (*.f64 b c)) c) i)

series385.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+.f64 a (*.f64 b c))
346.0ms	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (.f64 (+.f64 a (*.f64 b c)) c) i))
13.0ms	(.f64 (+.f64 a (.f64 b c)) c)
19.0ms	(.f64 (.f64 (+.f64 a (*.f64 b c)) c) i)

simplify26.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5100	1169

prune151.0ms

Filtered

61 candidates to 80 candidates (-31.1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	69	11	80
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	69	12	81

Merged error: 1.5b

Counts

81 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z t))
0.0b	(+.f64 a (*.f64 b c))
0.0b	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (+.f64 a (.f64 b c)) (*.f64 c i)))
7.0b	(.f64 (+.f64 a (.f64 b c)) (*.f64 c i))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-log-exp_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`flip3-+_binary64` `flip-+_binary64`
6×	`associate-*l/_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`frac-sub_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64` `sum-log_binary64`
2×	`diff-log_binary64` `+-commutative_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `associate-r_binary64` `flip--_binary64` `associate--l+_binary64` `*-commutative_binary64`

Counts

4 → 59

Calls

4 calls:

4.0ms	(+.f64 (.f64 x y) (.f64 z t))
3.0ms	(+.f64 a (*.f64 b c))
9.0ms	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (+.f64 a (.f64 b c)) (*.f64 c i)))
7.0ms	(.f64 (+.f64 a (.f64 b c)) (*.f64 c i))

series415.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(+.f64 (.f64 x y) (.f64 z t))
7.0ms	(+.f64 a (*.f64 b c))
378.0ms	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (+.f64 a (.f64 b c)) (*.f64 c i)))
20.0ms	(.f64 (+.f64 a (.f64 b c)) (*.f64 c i))

simplify37.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5322	1119

prune149.0ms

Filtered

52 candidates to 71 candidates (-36.5%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	68	3	71
Fresh	1	9	10
Picked	0	1	1
Done	0	1	1
Total	69	14	83

Merged error: 1.5b

Counts

83 → 14

localize19.0ms

Local error

Found 4 expressions with local error:

7.0b	(.f64 (+.f64 a (.f64 b c)) (*.f64 c i))
9.9b	(cbrt.f64 (.f64 (+.f64 a (.f64 b c)) (*.f64 c i)))
9.9b	(cbrt.f64 (.f64 (+.f64 a (.f64 b c)) (*.f64 c i)))
9.9b	(cbrt.f64 (.f64 (+.f64 a (.f64 b c)) (*.f64 c i)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`associate-*l/_binary64`
6×	`cbrt-div_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `flip-+_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `pow1/3_binary64` `associate-l_binary64` `prod-exp_binary64` `cbrt-prod_binary64`
1×	`associate-r_binary64` `*-commutative_binary64`

Counts

4 → 53

Calls

4 calls:

7.0ms	(.f64 (+.f64 a (.f64 b c)) (*.f64 c i))
6.0ms	(cbrt.f64 (.f64 (+.f64 a (.f64 b c)) (*.f64 c i)))
6.0ms	(cbrt.f64 (.f64 (+.f64 a (.f64 b c)) (*.f64 c i)))
6.0ms	(cbrt.f64 (.f64 (+.f64 a (.f64 b c)) (*.f64 c i)))

series163.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(.f64 (+.f64 a (.f64 b c)) (*.f64 c i))
46.0ms	(cbrt.f64 (.f64 (+.f64 a (.f64 b c)) (*.f64 c i)))
46.0ms	(cbrt.f64 (.f64 (+.f64 a (.f64 b c)) (*.f64 c i)))
50.0ms	(cbrt.f64 (.f64 (+.f64 a (.f64 b c)) (*.f64 c i)))

simplify48.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5007	837

prune122.0ms

Filtered

53 candidates to 65 candidates (-22.6%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	11	11
Picked	0	1	1
Done	0	2	2
Total	65	14	79

Merged error: 1.5b

Counts

79 → 14

localize18.0ms

Local error

Found 4 expressions with local error:

2.0b	(cbrt.f64 (+.f64 a (*.f64 b c)))
2.0b	(cbrt.f64 (+.f64 a (*.f64 b c)))
2.0b	(cbrt.f64 (+.f64 a (*.f64 b c)))
6.6b	(.f64 (.f64 (.f64 (cbrt.f64 (+.f64 a (.f64 b c))) (cbrt.f64 (+.f64 a (.f64 b c)))) (.f64 c (cbrt.f64 (+.f64 a (*.f64 b c))))) i)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div_binary64`
40×	`associate-*l/_binary64`
30×	`flip3-+_binary64` `flip-+_binary64`
28×	`frac-times_binary64`
26×	`associate-*r/_binary64`
22×	`pow1_binary64` `add-exp-log_binary64`
16×	`add-cbrt-cube_binary64`
13×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
9×	`cbrt-prod_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64`
3×	`associate-r_binary64` `pow1/3_binary64`
1×	`associate-l_binary64` `*-commutative_binary64`

Counts

4 → 92

Calls

4 calls:

3.0ms	(cbrt.f64 (+.f64 a (*.f64 b c)))
3.0ms	(cbrt.f64 (+.f64 a (*.f64 b c)))
3.0ms	(cbrt.f64 (+.f64 a (*.f64 b c)))
20.0ms	(.f64 (.f64 (.f64 (cbrt.f64 (+.f64 a (.f64 b c))) (cbrt.f64 (+.f64 a (.f64 b c)))) (.f64 c (cbrt.f64 (+.f64 a (*.f64 b c))))) i)

series102.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(cbrt.f64 (+.f64 a (*.f64 b c)))
26.0ms	(cbrt.f64 (+.f64 a (*.f64 b c)))
27.0ms	(cbrt.f64 (+.f64 a (*.f64 b c)))
20.0ms	(.f64 (.f64 (.f64 (cbrt.f64 (+.f64 a (.f64 b c))) (cbrt.f64 (+.f64 a (.f64 b c)))) (.f64 c (cbrt.f64 (+.f64 a (*.f64 b c))))) i)

simplify53.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5108	1559

prune90.0ms

Filtered

70 candidates to 104 candidates (-48.6%)

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	10	10
Picked	0	1	1
Done	0	3	3
Total	104	14	118

Merged error: 1.5b

Counts

118 → 14

regimes2.8s

Accuracy

-57.2% (1.4b remaining)

Error of 2.3b against oracle of 0.8b and baseline of 1.7b

bsearch1.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	146	73
1	146	73

end0.0ms

sample1.7s

Algorithm

intervals

Results

506.0ms	8000×	body	80	valid
481.0ms	7328×	body	80	invalid

Details

analyze1.7s

sample58.0ms

simplify403.0ms

prune11.0ms

localize20.0ms

rewrite28.0ms

series385.0ms

simplify26.0ms

prune151.0ms

localize15.0ms

rewrite25.0ms

series415.0ms

simplify37.0ms

prune149.0ms

localize19.0ms

rewrite26.0ms

series163.0ms

simplify48.0ms

prune122.0ms

localize18.0ms

rewrite37.0ms

series102.0ms

simplify53.0ms

prune90.0ms

regimes2.8s

bsearch1.0ms

simplify3.0ms

end0.0ms

sample1.7s

Profiling