Details

sample32.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
8.0ms	261×	body	80	nan

simplify20.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

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

localize11.0ms

Local error

Found 3 expressions with local error:

0.6b	(+ (* x y) (* x z))
1.0b	(+ (+ (* x y) (* x z)) (* y z))
19.2b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite19.0ms

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

series181.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ (* x y) (* x z))
23.0ms	(+ (+ (* x y) (* x z)) (* y z))
124.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify149.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (142.0ms)

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

prune179.0ms

Filtered

60 candidates to 48 candidates (80.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	56	4	60
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	4	61

Merged error: 20.3b

Counts

61 → 4

localize9.0ms

Local error

Found 2 expressions with local error:

1.0b	(fma x (+ y z) (* y z))
19.2b	(sqrt (fma x (+ y z) (* y z)))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt`
3×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
2×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `fma-udef`

Counts

2 → 25

Calls

2 calls:

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

series142.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(fma x (+ y z) (* y z))
119.0ms	(sqrt (fma x (+ y z) (* y z)))

simplify112.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (39.0ms)

Iter	Nodes	Cost
0	106	164
1	261	147
2	833	144
3	4087	141
4	5001	141

prune98.0ms

Filtered

31 candidates to 26 candidates (83.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	29	2	31
Fresh	2	1	3
Picked	0	1	1
Done	0	0	0
Total	31	4	35

Merged error: 20.3b

Counts

35 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

1.0b	(fma x (+ y z) (* y z))
1.0b	(fma x (+ y z) (* y z))
19.8b	(cbrt (fma x (+ y z) (* y z)))
19.8b	(cbrt (fma x (+ y z) (* y z)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `fma-udef`

Counts

4 → 46

Calls

4 calls:

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

series519.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(fma x (+ y z) (* y z))
29.0ms	(fma x (+ y z) (* y z))
234.0ms	(cbrt (fma x (+ y z) (* y z)))
234.0ms	(cbrt (fma x (+ y z) (* y z)))

simplify96.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 4 (90.0ms)

Iter	Nodes	Cost
0	112	336
1	235	304
2	680	288
3	2860	286
4	5001	284

prune235.0ms

Filtered

58 candidates to 52 candidates (89.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	55	3	58
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	56	6	62

Merged error: 20.2b

Counts

62 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

19.2b	(sqrt (fma x (+ y z) (* y z)))
19.2b	(sqrt (fma x (+ y z) (* y z)))
19.8b	(cbrt (* (sqrt (fma x (+ y z) (* y z))) (sqrt (fma x (+ y z) (* y z)))))
19.8b	(cbrt (fma x (+ y z) (* y z)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `sqrt-prod`
4×	`add-exp-log` `cbrt-prod` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow1/3`

Counts

4 → 54

Calls

4 calls:

2.0ms	(sqrt (fma x (+ y z) (* y z)))
2.0ms	(sqrt (fma x (+ y z) (* y z)))
5.0ms	(cbrt (* (sqrt (fma x (+ y z) (* y z))) (sqrt (fma x (+ y z) (* y z)))))
2.0ms	(cbrt (fma x (+ y z) (* y z)))

series717.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(sqrt (fma x (+ y z) (* y z)))
123.0ms	(sqrt (fma x (+ y z) (* y z)))
233.0ms	(cbrt (* (sqrt (fma x (+ y z) (* y z))) (sqrt (fma x (+ y z) (* y z)))))
240.0ms	(cbrt (fma x (+ y z) (* y z)))

simplify74.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 4 (67.0ms)

Iter	Nodes	Cost
0	163	408
1	356	370
2	906	348
3	2556	338
4	5001	334

prune258.0ms

Filtered

66 candidates to 57 candidates (86.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	66	6	72

Merged error: 20.2b

Counts

72 → 6

regimes106.0ms

Accuracy

0% (0.1b remaining)

Error of 20.1b against oracle of 20.0b and baseline of 20.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

end0.0ms

sample829.0ms

Algorithm

intervals

Results

263.0ms	8000×	body	80	valid
246.0ms	7726×	body	80	nan