Details

sample670.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 43.75%

Guaranteed chance to sample good point: 88.888889%

Results

23.0ms	353×	body	80	invalid
15.0ms	256×	body	80	valid
5.0ms	78×	body	80	nan

simplify81.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	9
1	41	9
2	88	9
3	165	9
4	287	9
5	625	9
6	2014	9
7	5002	9

prune5.0ms

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: 0.2b

Counts

2 → 1

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
0.2b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-cbrt-cube`
7×	`add-exp-log` `add-sqr-sqrt` `associate-r`
6×	`associate-*l/`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `*-commutative` `flip--` `add-log-exp`
1×	`sqrt-prod` `unswap-sqr`

Counts

2 → 41

Calls

2 calls:

12.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
8.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series58.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
14.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify42.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	298	454
1	1235	396
2	5002	396

prune132.0ms

Filtered

35 candidates to 47 candidates (-34.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	37	10	47
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	38	10	48

Merged error: 0.0b

Counts

48 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp (/ (* t t) 2.0)))
0.0b	(sqrt (exp (/ (* t t) 2.0)))
0.0b	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (exp (/ (* t t) 2.0))))
0.2b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`sqrt-pow1`
14×	`add-cube-cbrt` `exp-prod` `*-un-lft-identity`
13×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
10×	`associate-r` `sqrt-prod`
6×	`times-frac` `associate-*l/`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `flip3--` `pow1/2` `*-commutative` `flip--` `div-inv`
1×	`unswap-sqr`

Counts

4 → 84

Calls

4 calls:

3.0ms	(sqrt (exp (/ (* t t) 2.0)))
3.0ms	(sqrt (exp (/ (* t t) 2.0)))
14.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (exp (/ (* t t) 2.0))))
10.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series72.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(sqrt (exp (/ (* t t) 2.0)))
8.0ms	(sqrt (exp (/ (* t t) 2.0)))
46.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (exp (/ (* t t) 2.0))))
14.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify46.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	364	708
1	1471	646
2	5001	637

prune249.0ms

Filtered

74 candidates to 96 candidates (-29.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	96	10	106

Merged error: 0.0b

Counts

106 → 10

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
0.2b	(* (- (* x 0.5) y) (sqrt z))
0.5b	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1` `add-cbrt-cube`
16×	`add-exp-log`
15×	`associate-r`
13×	`add-sqr-sqrt`
12×	`associate-*l/`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`sqrt-prod`
5×	`associate-l`
3×	`flip3--` `*-commutative` `flip--` `add-log-exp`
2×	`unswap-sqr`

Counts

3 → 70

Calls

3 calls:

15.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
7.0ms	(* (- (* x 0.5) y) (sqrt z))
9.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series70.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
10.0ms	(* (- (* x 0.5) y) (sqrt z))
15.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify59.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	393	723
1	1851	631
2	5001	627

prune147.0ms

Filtered

52 candidates to 79 candidates (-51.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	74	5	79
Fresh	6	2	8
Picked	1	0	1
Done	0	1	1
Total	81	8	89

Merged error: 0b

Counts

89 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
0.2b	(* (- (* x 0.5) y) (sqrt z))
0.2b	(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
0.3b	(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
55×	`add-exp-log`
41×	`pow-prod-down` `prod-exp` `cbrt-unprod`
39×	`add-cbrt-cube`
20×	`associate-*l/`
19×	`associate-r`
15×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
7×	`sqrt-prod`
6×	`cbrt-prod` `associate-l`
4×	`flip3--` `*-commutative` `flip--` `add-log-exp`
2×	`unswap-sqr`

Counts

4 → 115

Calls

4 calls:

23.0ms	(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
7.0ms	(* (- (* x 0.5) y) (sqrt z))
13.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
19.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

series113.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
10.0ms	(* (- (* x 0.5) y) (sqrt z))
41.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
16.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

simplify94.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	577	1851
1	2801	1371
2	5002	1280

prune234.0ms

Filtered

72 candidates to 127 candidates (-76.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	127	8	135

Merged error: 0b

Counts

135 → 8

regimes1.0s

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	15
1	22	15

end0.0ms

sample2.6s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 43.75%

Guaranteed chance to sample good point: 88.888889%

Results

589.0ms	9935×	body	80	invalid
487.0ms	8000×	body	80	valid
131.0ms	2192×	body	80	nan

Details

sample670.0ms

simplify81.0ms

prune5.0ms

localize12.0ms

rewrite21.0ms

series58.0ms

simplify42.0ms

prune132.0ms

localize15.0ms

rewrite32.0ms

series72.0ms

simplify46.0ms

prune249.0ms

localize13.0ms

rewrite33.0ms

series70.0ms

simplify59.0ms

prune147.0ms

localize16.0ms

rewrite66.0ms

series113.0ms

simplify94.0ms

prune234.0ms

regimes1.0s

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.6s

Profiling