Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

322×

body

valid

simplify86.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

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

prune4.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 4.7b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

4.5b	(* x (/ y z))

rewrite7.0ms

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:

6.0ms

(* x (/ y z))

series19.0ms

Counts

1 → 3

Calls

1 calls:

19.0ms

(* x (/ y z))

simplify69.0ms

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

prune73.0ms

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	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	9	36

Merged error: 0.0b

Counts

36 → 9

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
3.1b	(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

rewrite18.0ms

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)
1.0ms	(cbrt y)
12.0ms	(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

series603.0ms

Counts

4 → 12

Calls

4 calls:

220.0ms	(cbrt y)
171.0ms	(cbrt y)
173.0ms	(cbrt y)
38.0ms	(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

simplify87.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (76.0ms)

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

prune222.0ms

Filtered

92 candidates to 66 candidates (71.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	90	2	92
Fresh	0	7	7
Picked	1	0	1
Done	0	1	1
Total	91	10	101

Merged error: 0.0b

Counts

101 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.6b	(* x (/ (cbrt y) z))
2.6b	(* (* (cbrt y) (cbrt y)) (* x (/ (cbrt y) z)))

rewrite23.0ms

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)
8.0ms	(* x (/ (cbrt y) z))
10.0ms	(* (* (cbrt y) (cbrt y)) (* x (/ (cbrt y) z)))

series468.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(cbrt y)
174.0ms	(cbrt y)
88.0ms	(* x (/ (cbrt y) z))
37.0ms	(* (* (cbrt y) (cbrt y)) (* x (/ (cbrt y) z)))

simplify55.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (48.0ms)

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

prune230.0ms

Filtered

103 candidates to 75 candidates (72.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	101	2	103
Fresh	4	4	8
Picked	1	0	1
Done	0	1	1
Total	106	7	113

Merged error: 0b

Counts

113 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.1b	(* (* x (cbrt y)) (/ 1 z))
2.6b	(* (* (cbrt y) (cbrt y)) (* (* x (cbrt y)) (/ 1 z)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

99×	`add-exp-log`
63×	`prod-exp`
41×	`add-cbrt-cube`
33×	`cbrt-unprod`
30×	`pow1`
18×	`pow-prod-down`
14×	`associate-r`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`div-exp`
9×	`times-frac`
6×	`cbrt-undiv` `cbrt-prod` `rec-exp` `1-exp`
4×	`associate-*r/` `add-log-exp`
2×	`pow1/3` `associate-l` `un-div-inv` `*-commutative`
1×	`div-inv`

Counts

4 → 106

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
8.0ms	(* (* x (cbrt y)) (/ 1 z))
17.0ms	(* (* (cbrt y) (cbrt y)) (* (* x (cbrt y)) (/ 1 z)))

series473.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(cbrt y)
176.0ms	(cbrt y)
89.0ms	(* (* x (cbrt y)) (/ 1 z))
37.0ms	(* (* (cbrt y) (cbrt y)) (* (* x (cbrt y)) (/ 1 z)))

simplify64.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	464	809
1	2312	617
2	5001	491

prune158.0ms

Filtered

118 candidates to 56 candidates (47.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	117	1	118
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	118	7	125

Merged error: 0b

Counts

125 → 7

regimes152.0ms

Accuracy

93.4% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 5.8b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	15
1	30	15

end0.0ms

sample504.0ms

Algorithm

intervals

Results

269.0ms

9644×

body

valid