Details

sample671.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 43.75%

Guaranteed chance to sample good point: 88.888889%

Results

36.0ms	609×	body	80	valid
5.0ms	78×	body	80	nan

simplify77.0ms

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

prune4.0ms

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

localize14.0ms

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)))

rewrite20.0ms

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)))

series54.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
14.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify40.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (8.0ms)

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

prune129.0ms

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

localize14.0ms

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)))

rewrite29.0ms

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)))
13.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (exp (/ (* t t) 2.0))))
8.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series71.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(sqrt (exp (/ (* t t) 2.0)))
5.0ms	(sqrt (exp (/ (* t t) 2.0)))
46.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (exp (/ (* t t) 2.0))))
16.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify45.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (37.0ms)

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

prune246.0ms

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))

rewrite31.0ms

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:

13.0ms	(* (* (* (- (* 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))

series71.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
12.0ms	(* (- (* x 0.5) y) (sqrt z))
16.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify52.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (44.0ms)

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

prune145.0ms

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)))

rewrite64.0ms

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:

25.0ms	(* (* (* (* (- (* 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))
12.0ms	(* (* (- (* 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)))

series110.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (* (* (* (- (* 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))
37.0ms	(* (* (- (* 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)))

simplify82.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (68.0ms)

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

prune250.0ms

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

regimes974.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

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

1.1s	17935×	body	80	valid
133.0ms	2192×	body	80	nan

Details

sample671.0ms

simplify77.0ms

prune4.0ms

localize14.0ms

rewrite20.0ms

series54.0ms

simplify40.0ms

prune129.0ms

localize14.0ms

rewrite29.0ms

series71.0ms

simplify45.0ms

prune246.0ms

localize13.0ms

rewrite31.0ms

series71.0ms

simplify52.0ms

prune145.0ms

localize16.0ms

rewrite64.0ms

series110.0ms

simplify82.0ms

prune250.0ms

regimes974.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.6s

Profiling