Details

sample54.0ms

Algorithm

intervals

Results

24.0ms

382×

body

valid

simplify20.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	26	7
1	57	6
2	95	6
3	116	6
4	118	6
5	118	6

prune8.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 0.1b

Counts

2 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ t (* z b))
0.0b	(+ x (* a (+ t (* z b))))
0.0b	(+ (* y z) (+ x (* a (+ t (* z b)))))
0.8b	(* a (+ t (* z b)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-log-exp`
8×	`add-sqr-sqrt`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
5×	`sum-log`
4×	`flip3-+` `flip-+`
3×	`+-commutative` `associate-+r+` `associate-r` `associate-l`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 59

Calls

4 calls:

3.0ms	(+ t (* z b))
3.0ms	(+ x (* a (+ t (* z b))))
6.0ms	(+ (* y z) (+ x (* a (+ t (* z b)))))
5.0ms	(* a (+ t (* z b)))

series222.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ t (* z b))
61.0ms	(+ x (* a (+ t (* z b))))
81.0ms	(+ (* y z) (+ x (* a (+ t (* z b)))))
57.0ms	(* a (+ t (* z b)))

simplify42.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	325	392
1	1353	363
2	5001	363

prune159.0ms

Filtered

71 candidates to 54 candidates (76.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	66	5	71
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	66	7	73

Merged error: 0.0b

Counts

73 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b	(+ x (* y z))
0.0b	(+ (+ x (* y z)) (* t a))
5.5b	(* (* a z) b)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

8.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
2.0ms	(+ x (* y z))
5.0ms	(+ (+ x (* y z)) (* t a))
5.0ms	(* (* a z) b)

series164.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
22.0ms	(+ x (* y z))
40.0ms	(+ (+ x (* y z)) (* t a))
26.0ms	(* (* a z) b)

simplify50.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	335	378
1	1670	347
2	5002	342

prune147.0ms

Filtered

68 candidates to 51 candidates (75.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	67	8	75

Merged error: 0.0b

Counts

75 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

5.5b	(* (* a z) b)
15.8b	(cbrt (* (* a z) b))
15.8b	(cbrt (* (* a z) b))
15.8b	(cbrt (* (* a z) b))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-l` `*-commutative`

Counts

4 → 45

Calls

4 calls:

5.0ms	(* (* a z) b)
4.0ms	(cbrt (* (* a z) b))
3.0ms	(cbrt (* (* a z) b))
4.0ms	(cbrt (* (* a z) b))

series294.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (* a z) b)
96.0ms	(cbrt (* (* a z) b))
85.0ms	(cbrt (* (* a z) b))
86.0ms	(cbrt (* (* a z) b))

simplify74.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	181	286
1	716	238
2	3196	229
3	5001	210

prune188.0ms

Filtered

57 candidates to 48 candidates (84.2%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	56	1	57
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	56	9	65

Merged error: 0.0b

Counts

65 → 9

localize19.0ms

Local error

Found 4 expressions with local error:

15.8b	(cbrt (* (* a z) b))
15.8b	(cbrt (* (* a z) b))
15.8b	(cbrt (* (* a z) b))
15.8b	(cbrt (* (* a z) b))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 36

Calls

4 calls:

4.0ms	(cbrt (* (* a z) b))
4.0ms	(cbrt (* (* a z) b))
4.0ms	(cbrt (* (* a z) b))
4.0ms	(cbrt (* (* a z) b))

series352.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(cbrt (* (* a z) b))
89.0ms	(cbrt (* (* a z) b))
89.0ms	(cbrt (* (* a z) b))
87.0ms	(cbrt (* (* a z) b))

simplify58.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 4 (53.0ms)

Iter	Nodes	Cost
0	105	288
1	264	260
2	787	248
3	2601	220
4	5001	208

prune169.0ms

Filtered

48 candidates to 40 candidates (83.3%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	48	9	57

Merged error: 0.0b

Counts

57 → 9

regimes302.0ms

Accuracy

0% (2.7b remaining)

Error of 2.8b against oracle of 0.0b and baseline of 2.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	6
1	18	6

end0.0ms

sample832.0ms

Algorithm

intervals

Results

433.0ms

11730×

body

valid