Details

sample4.2s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 1.953125%

Guaranteed chance to sample good point: 7.768924%

Results

13.0ms	256×	body	80	valid
3.0ms	66×	body	80	invalid

simplify76.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	8
1	83	8
2	220	8
3	384	8
4	455	8
5	563	8
6	586	8
7	677	8
8	902	8
9	1322	8
10	1322	8

prune8.0ms

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: 3.4b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
0.2b	(* (* y 9.0) z)
0.5b	(* (* a 27.0) b)
5.2b	(* (* (* y 9.0) z) t)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`associate-r` `add-log-exp`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`associate-l` `*-commutative`
2×	`associate-+l+` `sum-log`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `flip-+`

Counts

4 → 72

Calls

4 calls:

6.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
5.0ms	(* (* y 9.0) z)
5.0ms	(* (* a 27.0) b)
7.0ms	(* (* (* y 9.0) z) t)

series50.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
3.0ms	(* (* y 9.0) z)
3.0ms	(* (* a 27.0) b)
6.0ms	(* (* (* y 9.0) z) t)

simplify58.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	370	455
1	1919	383
2	5002	383

prune137.0ms

Filtered

49 candidates to 84 candidates (-71.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	75	9	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	9	85

Merged error: 0.0b

Counts

85 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x 2.0) (- (* 27.0 (* a b)) (* (* (* y 9.0) z) t)))
0.2b	(* (* y 9.0) z)
0.3b	(* 27.0 (* a b))
5.2b	(* (* (* y 9.0) z) t)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-log-exp`
7×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*`
5×	`associate-l`
3×	`*-commutative`
2×	`associate-+r+` `sum-log`
1×	`+-commutative` `associate-+r-` `sub-neg` `flip3-+` `diff-log` `flip-+`

Counts

4 → 72

Calls

4 calls:

6.0ms	(+ (* x 2.0) (- (* 27.0 (* a b)) (* (* (* y 9.0) z) t)))
8.0ms	(* (* y 9.0) z)
5.0ms	(* 27.0 (* a b))
7.0ms	(* (* (* y 9.0) z) t)

series47.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ (* x 2.0) (- (* 27.0 (* a b)) (* (* (* y 9.0) z) t)))
3.0ms	(* (* y 9.0) z)
3.0ms	(* 27.0 (* a b))
6.0ms	(* (* (* y 9.0) z) t)

simplify49.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	362	447
1	1618	372
2	5001	372

prune116.0ms

Filtered

48 candidates to 84 candidates (-75.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	85	8	93

Merged error: 0.0b

Counts

93 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* 2.0 x) (* 27.0 (* a b))) (* 9.0 (* t (* z y))))
0.3b	(* 27.0 (* a b))
0.3b	(* 9.0 (* t (* z y)))
5.3b	(* t (* z y))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`associate-l` `add-log-exp`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`associate-r` `*-commutative`
2×	`diff-log`
1×	`sub-neg` `flip3--` `associate--l+` `sum-log` `flip--`

Counts

4 → 71

Calls

4 calls:

7.0ms	(- (+ (* 2.0 x) (* 27.0 (* a b))) (* 9.0 (* t (* z y))))
5.0ms	(* 27.0 (* a b))
6.0ms	(* 9.0 (* t (* z y)))
7.0ms	(* t (* z y))

series50.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(- (+ (* 2.0 x) (* 27.0 (* a b))) (* 9.0 (* t (* z y))))
3.0ms	(* 27.0 (* a b))
7.0ms	(* 9.0 (* t (* z y)))
6.0ms	(* t (* z y))

simplify43.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	313	441
1	1279	373
2	5001	372

prune98.0ms

Filtered

47 candidates to 83 candidates (-76.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	82	1	83
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	84	7	91

Merged error: 0.0b

Counts

91 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 2.0 x) (* 27.0 (* a b)))
0.0b	(- (+ (* 2.0 x) (* 27.0 (* a b))) (* (* 9.0 t) (* z y)))
0.3b	(* 27.0 (* a b))
5.3b	(* (* 9.0 t) (* z y))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

21×	`pow1` `add-exp-log` `add-cbrt-cube`
11×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`associate-l`
2×	`diff-log` `associate-r` `sum-log` `*-commutative`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `associate--l+` `flip--` `flip-+`

Counts

4 → 65

Calls

4 calls:

4.0ms	(+ (* 2.0 x) (* 27.0 (* a b)))
6.0ms	(- (+ (* 2.0 x) (* 27.0 (* a b))) (* (* 9.0 t) (* z y)))
5.0ms	(* 27.0 (* a b))
6.0ms	(* (* 9.0 t) (* z y))

series54.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ (* 2.0 x) (* 27.0 (* a b)))
34.0ms	(- (+ (* 2.0 x) (* 27.0 (* a b))) (* (* 9.0 t) (* z y)))
6.0ms	(* 27.0 (* a b))
6.0ms	(* (* 9.0 t) (* z y))

simplify52.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	356	462
1	1541	407
2	5002	406

prune70.0ms

Filtered

44 candidates to 77 candidates (-75.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	76	1	77
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	77	7	84

Merged error: 0b

Counts

84 → 7

regimes1.9s

Accuracy

65.1% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 3.9b

bsearch214.0ms

Steps

Iters	Range		Point
8	6.296127530960747e+240	1.9971152264715315e+243	1.9695046733778307e+243
10	1.582871007711249e-52	4.922600141905309e-34	3.575347012698236e-38
9	-3.185991180226518e+96	-7.171180594332639e+87	-1.1157888557815517e+89

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	32
1	57	32
2	57	32

end0.0ms

sample5.0s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 1.953125%

Guaranteed chance to sample good point: 7.768924%

Results

408.0ms	8000×	body	80	valid
144.0ms	2795×	body	80	invalid

Details

sample4.2s

simplify76.0ms

prune8.0ms

localize12.0ms

rewrite24.0ms

series50.0ms

simplify58.0ms

prune137.0ms

localize13.0ms

rewrite28.0ms

series47.0ms

simplify49.0ms

prune116.0ms

localize13.0ms

rewrite27.0ms

series50.0ms

simplify43.0ms

prune98.0ms

localize13.0ms

rewrite23.0ms

series54.0ms

simplify52.0ms

prune70.0ms

regimes1.9s

bsearch214.0ms

simplify3.0ms

end0.0ms

sample5.0s

Profiling