Details

sample40.0ms

Algorithm

intervals

Results

12.0ms	290×	body	80	nan
11.0ms	256×	body	80	valid

simplify18.0ms

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

prune4.0ms

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: 19.7b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.8b	(+ (* x y) (* x z))
0.8b	(+ (+ (* x y) (* x z)) (* y z))
18.6b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite18.0ms

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

series184.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(+ (* x y) (* x z))
23.0ms	(+ (+ (* x y) (* x z)) (* y z))
126.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify145.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (138.0ms)

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

prune175.0ms

Filtered

60 candidates to 48 candidates (80.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	55	5	60
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	6	61

Merged error: 19.6b

Counts

61 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.8b	(+ (+ (* x y) (* x z)) (* y z))
0.8b	(+ (+ (* x y) (* x z)) (* y z))
18.6b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
18.6b	(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)))

series296.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ (+ (* x y) (* x z)) (* y z))
24.0ms	(+ (+ (* x y) (* x z)) (* y z))
128.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
121.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify119.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (110.0ms)

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

prune300.0ms

Filtered

84 candidates to 68 candidates (81.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	84	6	90

Merged error: 19.6b

Counts

90 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

15.1b	(cbrt (+ (* x y) (* x z)))
15.1b	(cbrt (+ (* x y) (* x z)))
18.6b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
18.6b	(sqrt (fma (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z))) (* y z)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

8.0ms	(cbrt (+ (* x y) (* x z)))
4.0ms	(cbrt (+ (* x y) (* x z)))
6.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
2.0ms	(sqrt (fma (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z))) (* y z)))

series797.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(cbrt (+ (* x y) (* x z)))
127.0ms	(cbrt (+ (* x y) (* x z)))
121.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
423.0ms	(sqrt (fma (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z))) (* y z)))

simplify62.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	480	880
1	1595	822
2	5002	640

prune385.0ms

Filtered

76 candidates to 71 candidates (93.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	75	7	82

Merged error: 19.6b

Counts

82 → 7

localize26.0ms

Local error

Found 4 expressions with local error:

15.1b	(cbrt (+ (* x y) (* x z)))
15.1b	(cbrt (+ (* x y) (* x z)))
18.6b	(sqrt (fma (* (cbrt (+ (* x y) (* x z))) (* (* (cbrt (cbrt (+ (* x y) (* x z)))) (cbrt (cbrt (+ (* x y) (* x z))))) (cbrt (cbrt (+ (* x y) (* x z)))))) (cbrt (+ (* x y) (* x z))) (* y z)))
18.6b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

4.0ms	(cbrt (+ (* x y) (* x z)))
4.0ms	(cbrt (+ (* x y) (* x z)))
2.0ms	(sqrt (fma (* (cbrt (+ (* x y) (* x z))) (* (* (cbrt (cbrt (+ (* x y) (* x z)))) (cbrt (cbrt (+ (* x y) (* x z))))) (cbrt (cbrt (+ (* x y) (* x z)))))) (cbrt (+ (* x y) (* x z))) (* y z)))
6.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series804.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(cbrt (+ (* x y) (* x z)))
137.0ms	(cbrt (+ (* x y) (* x z)))
420.0ms	(sqrt (fma (* (cbrt (+ (* x y) (* x z))) (* (* (cbrt (cbrt (+ (* x y) (* x z)))) (cbrt (cbrt (+ (* x y) (* x z))))) (cbrt (cbrt (+ (* x y) (* x z)))))) (cbrt (+ (* x y) (* x z))) (* y z)))
120.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify67.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	487	1088
1	1613	1017
2	5001	640

prune406.0ms

Filtered

76 candidates to 71 candidates (93.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	76	7	83

Merged error: 19.6b

Counts

83 → 7

regimes241.0ms

Accuracy

0% (0.1b remaining)

Error of 19.7b against oracle of 19.7b and baseline of 19.7b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample1.0s

Algorithm

intervals

Results

352.0ms	8070×	body	80	nan
351.0ms	8000×	body	80	valid

Details

sample40.0ms

simplify18.0ms

prune4.0ms

localize10.0ms

rewrite18.0ms

series184.0ms

simplify145.0ms

prune175.0ms

localize13.0ms

rewrite27.0ms

series296.0ms

simplify119.0ms

prune300.0ms

localize20.0ms

rewrite21.0ms

series797.0ms

simplify62.0ms

prune385.0ms

localize26.0ms

rewrite17.0ms

series804.0ms

simplify67.0ms

prune406.0ms

regimes241.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.0s

Profiling