Details

sample51.0ms

Algorithm

intervals

Results

25.0ms

496×

body

valid

simplify192.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	32	9
1	77	9
2	230	9
3	735	9
4	1920	9
5	2994	9
6	3388	9
7	4078	9
8	5001	9

prune3.0ms

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: 7.1b

Counts

2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.0b	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
0.1b	(* (+ a (* b c)) c)
8.1b	(* (* (+ a (* b c)) c) i)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

14×	`associate-*l/`
11×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity` `flip3-+` `flip-+`
6×	`associate-r`
4×	`associate-l` `pow-prod-down` `prod-exp` `frac-sub` `cbrt-unprod`
2×	`diff-log` `sum-log` `*-commutative`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `flip--` `unswap-sqr`

Counts

4 → 69

Calls

4 calls:

3.0ms	(+ (* x y) (* z t))
7.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
5.0ms	(* (+ a (* b c)) c)
7.0ms	(* (* (+ a (* b c)) c) i)

series740.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ (* x y) (* z t))
590.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
50.0ms	(* (+ a (* b c)) c)
64.0ms	(* (* (+ a (* b c)) c) i)

simplify65.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	436	655
1	2076	599
2	5003	591

prune248.0ms

Filtered

81 candidates to 59 candidates (72.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	73	8	81
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	73	9	82

Merged error: 0.8b

Counts

82 → 9

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.0b	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
6.0b	(* (+ a (* b c)) (* c i))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`flip3-+` `associate-*l/` `flip-+`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `frac-sub`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`diff-log` `sum-log`
1×	`+-commutative` `sub-neg` `flip3--` `associate-r` `associate--l+` `*-commutative` `flip--`

Counts

3 → 49

Calls

3 calls:

3.0ms	(+ (* x y) (* z t))
7.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
6.0ms	(* (+ a (* b c)) (* c i))

series702.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(+ (* x y) (* z t))
602.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
67.0ms	(* (+ a (* b c)) (* c i))

simplify55.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	397	546
1	1767	506
2	5001	498

prune183.0ms

Filtered

58 candidates to 40 candidates (69.0%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	55	3	58
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	56	11	67

Merged error: 0.7b

Counts

67 → 11

localize18.0ms

Local error

Found 4 expressions with local error:

8.1b	(* (* (+ a (* b c)) c) i)
9.2b	(cbrt (* (* (+ a (* b c)) c) i))
9.2b	(cbrt (* (* (+ a (* b c)) c) i))
9.2b	(cbrt (* (* (+ a (* b c)) c) i))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

16×	`associate-*l/`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`cbrt-div`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`flip3-+` `flip-+` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-l` `*-commutative`

Counts

4 → 53

Calls

4 calls:

10.0ms	(* (* (+ a (* b c)) c) i)
5.0ms	(cbrt (* (* (+ a (* b c)) c) i))
5.0ms	(cbrt (* (* (+ a (* b c)) c) i))
5.0ms	(cbrt (* (* (+ a (* b c)) c) i))

series489.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* (* (+ a (* b c)) c) i)
140.0ms	(cbrt (* (* (+ a (* b c)) c) i))
143.0ms	(cbrt (* (* (+ a (* b c)) c) i))
139.0ms	(cbrt (* (* (+ a (* b c)) c) i))

simplify47.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	330	575
1	1236	515
2	5002	502

prune303.0ms

Filtered

65 candidates to 53 candidates (81.5%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	65	11	76

Merged error: 0.7b

Counts

76 → 11

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt i)
0.6b	(cbrt i)
1.6b	(* (* (* (+ a (* b c)) c) (* (cbrt i) (cbrt i))) (cbrt i))
6.7b	(* (* (+ a (* b c)) c) (* (cbrt i) (cbrt i)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

34×	`pow1` `add-exp-log`
21×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
10×	`associate-*l/`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
4×	`add-log-exp`
2×	`flip3-+` `pow1/3` `associate-l` `*-commutative` `flip-+`

Counts

4 → 78

Calls

4 calls:

1.0ms	(cbrt i)
1.0ms	(cbrt i)
15.0ms	(* (* (* (+ a (* b c)) c) (* (cbrt i) (cbrt i))) (cbrt i))
11.0ms	(* (* (+ a (* b c)) c) (* (cbrt i) (cbrt i)))

series695.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt i)
177.0ms	(cbrt i)
101.0ms	(* (* (* (+ a (* b c)) c) (* (cbrt i) (cbrt i))) (cbrt i))
239.0ms	(* (* (+ a (* b c)) c) (* (cbrt i) (cbrt i)))

simplify68.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	357	737
1	1780	527
2	5002	473

prune309.0ms

Filtered

90 candidates to 58 candidates (64.4%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	0	7	7
Picked	0	1	1
Done	0	3	3
Total	89	12	101

Merged error: 0.7b

Counts

101 → 12

regimes1.0s

Accuracy

47.6% (0.5b remaining)

Error of 1.3b against oracle of 0.8b and baseline of 1.7b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	42
1	44	42

end0.0ms

sample1.4s

Algorithm

intervals

Results

723.0ms

15190×

body

valid