Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

291×

body

valid

simplify84.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	16	4
1	42	3
2	109	2
3	577	2
4	4438	2
5	5001	2

prune6.0ms

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: 7.8b

Counts

2 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

7.7b	(* x (/ y z))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`associate-r`
10×	`times-frac`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `associate-l`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 32

Calls

1 calls:

7.0ms

(* x (/ y z))

series19.0ms

Counts

1 → 3

Calls

1 calls:

19.0ms

(* x (/ y z))

simplify66.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	166	133
1	744	118
2	3153	118
3	5002	118

prune78.0ms

Filtered

35 candidates to 24 candidates (68.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	27	8	35
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	28	9	37

Merged error: 0.0b

Counts

37 → 9

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
6.0b	(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log`
22×	`associate-r`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`cbrt-prod` `times-frac` `add-cbrt-cube`
13×	`pow1`
12×	`prod-exp` `cbrt-unprod`
6×	`pow-prod-down`
4×	`add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
1×	`associate-r/` `associate-l` `-commutative` `div-inv`

Counts

4 → 80

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
4.0ms	(cbrt y)
14.0ms	(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

series562.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(cbrt y)
175.0ms	(cbrt y)
173.0ms	(cbrt y)
39.0ms	(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

simplify60.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	356	579
1	2031	443
2	5002	404

prune195.0ms

Filtered

92 candidates to 66 candidates (71.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	89	3	92
Fresh	1	6	7
Picked	1	0	1
Done	0	1	1
Total	91	10	101

Merged error: 0.0b

Counts

101 → 10

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.2b	(* x (/ (cbrt y) z))
5.0b	(* (* (cbrt y) (cbrt y)) (* x (/ (cbrt y) z)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-exp-log`
28×	`add-sqr-sqrt`
23×	`associate-r`
21×	`add-cbrt-cube`
20×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
18×	`pow1`
16×	`cbrt-prod`
15×	`prod-exp` `cbrt-unprod`
9×	`pow-prod-down`
4×	`associate-l` `add-log-exp`
3×	`cbrt-undiv` `associate-*r/` `div-exp` `unswap-sqr`
2×	`pow1/3` `*-commutative`
1×	`div-inv`

Counts

4 → 91

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
11.0ms	(* x (/ (cbrt y) z))
11.0ms	(* (* (cbrt y) (cbrt y)) (* x (/ (cbrt y) z)))

series475.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt y)
171.0ms	(cbrt y)
90.0ms	(* x (/ (cbrt y) z))
39.0ms	(* (* (cbrt y) (cbrt y)) (* x (/ (cbrt y) z)))

simplify52.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	359	587
1	1769	477
2	5001	436

prune204.0ms

Filtered

103 candidates to 75 candidates (72.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	3	5	8
Picked	1	0	1
Done	0	1	1
Total	106	7	113

Merged error: 0.0b

Counts

113 → 7

localize7.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
6.2b	(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
28×	`times-frac`
25×	`add-exp-log`
22×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
20×	`cbrt-prod`
18×	`add-cbrt-cube`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `unswap-sqr`
4×	`add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 92

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
15.0ms	(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series610.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt z)
193.0ms	(cbrt z)
181.0ms	(cbrt z)
54.0ms	(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify55.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	420	720
1	2228	581
2	5001	542

prune216.0ms

Filtered

104 candidates to 81 candidates (77.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	104	7	111

Merged error: 0.0b

Counts

111 → 7

regimes256.0ms

Accuracy

86% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 5.4b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	15
1	30	15

end0.0ms

sample596.0ms

Algorithm

intervals

Results

326.0ms

9543×

body

valid