Details

sample35.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
7.0ms	234×	body	80	nan

simplify15.0ms

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: 16.4b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (* x z))
0.6b	(+ (+ (* x y) (* x z)) (* y z))
15.6b	(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))
6.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series176.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(+ (* x y) (* x z))
21.0ms	(+ (+ (* x y) (* x z)) (* y z))
118.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify129.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (124.0ms)

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

prune190.0ms

Filtered

60 candidates to 48 candidates (80.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	54	6	60
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	7	61

Merged error: 16.4b

Counts

61 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

11.6b	(cbrt (+ (* x y) (* x z)))
11.6b	(cbrt (+ (* x y) (* x z)))
11.6b	(cbrt (+ (* x y) (* x z)))
15.6b	(sqrt (fma (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z))) (* y z)))

rewrite13.0ms

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:

3.0ms	(cbrt (+ (* x y) (* x z)))
3.0ms	(cbrt (+ (* x y) (* x z)))
3.0ms	(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)))

series785.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(cbrt (+ (* x y) (* x z)))
126.0ms	(cbrt (+ (* x y) (* x z)))
131.0ms	(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)))

simplify130.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (36.0ms)

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

prune354.0ms

Filtered

75 candidates to 73 candidates (97.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	71	4	75
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	74	8	82

Merged error: 16.4b

Counts

82 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
11.6b	(cbrt (+ (* x y) (* x z)))
11.6b	(cbrt (+ (* x y) (* x z)))
15.6b	(sqrt (fma (* (* (cbrt x) (cbrt (+ y z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z))) (* y z)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 60

Calls

4 calls:

1.0ms	(cbrt x)
4.0ms	(cbrt (+ (* x y) (* x z)))
4.0ms	(cbrt (+ (* x y) (* x z)))
2.0ms	(sqrt (fma (* (* (cbrt x) (cbrt (+ y z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z))) (* y z)))

series948.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(cbrt x)
131.0ms	(cbrt (+ (* x y) (* x z)))
124.0ms	(cbrt (+ (* x y) (* x z)))
503.0ms	(sqrt (fma (* (* (cbrt x) (cbrt (+ y z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z))) (* y z)))

simplify46.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	410	749
1	1309	701
2	5001	675

prune379.0ms

Filtered

72 candidates to 67 candidates (93.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	72	8	80

Merged error: 16.4b

Counts

80 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(+ (+ (* x y) (* x z)) (* y z))
0.6b	(+ (+ (* x y) (* x z)) (* y z))
15.6b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
15.6b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite31.0ms

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:

11.0ms	(+ (+ (* x y) (* x z)) (* y z))
6.0ms	(+ (+ (* x y) (* x z)) (* y z))
5.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
6.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series283.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (+ (* x y) (* x z)) (* y z))
23.0ms	(+ (+ (* x y) (* x z)) (* y z))
118.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
119.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify110.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	200	620
1	734	552
2	3300	536
3	5001	534

prune314.0ms

Filtered

84 candidates to 70 candidates (83.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	83	9	92

Merged error: 16.4b

Counts

92 → 9

regimes295.0ms

Accuracy

0% (0.1b remaining)

Error of 19.3b against oracle of 19.3b and baseline of 19.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample863.0ms

Algorithm

intervals

Results

265.0ms	8000×	body	80	valid
258.0ms	7991×	body	80	nan