Details

sample42.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
12.0ms	282×	body	80	nan

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	22	7
1	44	7
2	63	7
3	70	7
4	71	7
5	71	7

prune3.0ms

Filtered

1 candidates to 0 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: 20.3b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.4b	(+ (* x y) (* x z))
1.2b	(+ (+ (* x y) (* x z)) (* y z))
19.1b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
6×	`add-sqr-sqrt`
5×	`add-cube-cbrt` `fma-def` `*-un-lft-identity`
4×	`pow1` `sum-log`
3×	`add-exp-log` `expm1-log1p-u` `flip3-+` `sqrt-prod` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
2×	`+-commutative` `sqrt-div` `distribute-lft-out`
1×	`rem-sqrt-square` `associate-+l+` `sqrt-pow1` `pow1/2`

Counts

3 → 51

Calls

3 calls:

4.0ms	(+ (* x y) (* x z))
6.0ms	(+ (+ (* x y) (* x z)) (* y z))
5.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series182.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ (* x y) (* x z))
29.0ms	(+ (+ (* x y) (* x z)) (* y z))
118.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify138.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (132.0ms)

Iter	Nodes	Cost
0	270	383
1	1009	344
2	4339	335
3	5001	334

prune186.0ms

Filtered

60 candidates to 48 candidates (80.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	53	7	60
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	8	61

Merged error: 20.2b

Counts

61 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

1.2b	(+ (+ (* x y) (* x z)) (* y z))
1.2b	(+ (+ (* x y) (* x z)) (* y z))
19.1b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
19.1b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-log-exp`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `fma-def` `*-un-lft-identity`
6×	`pow1` `sum-log` `sqrt-prod`
4×	`add-exp-log` `expm1-log1p-u` `flip3-+` `sqrt-div` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
2×	`+-commutative` `rem-sqrt-square` `associate-+l+` `sqrt-pow1` `pow1/2` `distribute-lft-out`

Counts

4 → 72

Calls

4 calls:

7.0ms	(+ (+ (* x y) (* x z)) (* y z))
7.0ms	(+ (+ (* x y) (* x z)) (* y z))
6.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
6.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series293.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ (+ (* x y) (* x z)) (* y z))
30.0ms	(+ (+ (* x y) (* x z)) (* y z))
121.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
119.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify111.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (103.0ms)

Iter	Nodes	Cost
0	200	618
1	734	550
2	3300	534
3	5001	532

prune294.0ms

Filtered

84 candidates to 68 candidates (81.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	84	8	92

Merged error: 20.2b

Counts

92 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

16.3b	(cbrt (+ (* x y) (* x z)))
16.3b	(cbrt (+ (* x y) (* x z)))
16.3b	(cbrt (+ (* x y) (* x z)))
19.1b	(sqrt (fma (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z))) (* y z)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div`
5×	`pow1`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`flip3-+` `pow1/3` `sqrt-prod` `flip-+` `distribute-lft-out`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 63

Calls

4 calls:

4.0ms	(cbrt (+ (* x y) (* x z)))
4.0ms	(cbrt (+ (* x y) (* x z)))
4.0ms	(cbrt (+ (* x y) (* x z)))
2.0ms	(sqrt (fma (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z))) (* y z)))

series1.0s

Counts

4 → 12

Calls

4 calls:

127.0ms	(cbrt (+ (* x y) (* x z)))
126.0ms	(cbrt (+ (* x y) (* x z)))
375.0ms	(cbrt (+ (* x y) (* x z)))
402.0ms	(sqrt (fma (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z))) (* y z)))

simplify140.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	361	841
1	1141	788
2	4842	741
3	5001	741

prune297.0ms

Filtered

75 candidates to 73 candidates (97.3%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	72	3	75
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	72	11	83

Merged error: 20.2b

Counts

83 → 11

localize21.0ms

Local error

Found 4 expressions with local error:

16.3b	(cbrt (+ (* x y) (* x z)))
16.3b	(cbrt (+ (* x y) (* x z)))
16.3b	(cbrt (+ (* x y) (* x z)))
19.1b	(sqrt (fma (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (* (cbrt (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z))))) (cbrt (cbrt (+ (* x y) (* x z))))) (* y z)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div`
5×	`pow1`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`flip3-+` `pow1/3` `sqrt-prod` `flip-+` `distribute-lft-out`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 63

Calls

4 calls:

4.0ms	(cbrt (+ (* x y) (* x z)))
4.0ms	(cbrt (+ (* x y) (* x z)))
4.0ms	(cbrt (+ (* x y) (* x z)))
2.0ms	(sqrt (fma (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (* (cbrt (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z))))) (cbrt (cbrt (+ (* x y) (* x z))))) (* y z)))

series776.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(cbrt (+ (* x y) (* x z)))
125.0ms	(cbrt (+ (* x y) (* x z)))
126.0ms	(cbrt (+ (* x y) (* x z)))
394.0ms	(sqrt (fma (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (* (cbrt (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z))))) (cbrt (cbrt (+ (* x y) (* x z))))) (* y z)))

simplify143.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	364	1033
1	1150	968
2	4882	921
3	5001	921

prune311.0ms

Filtered

75 candidates to 72 candidates (96.0%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	7	7
Picked	0	1	1
Done	0	3	3
Total	75	11	86

Merged error: 20.2b

Counts

86 → 11

regimes315.0ms

Accuracy

0% (0.1b remaining)

Error of 20.2b against oracle of 20.1b and baseline of 20.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample1.1s

Algorithm

intervals

Results

361.0ms	8000×	body	80	valid
349.0ms	8136×	body	80	nan