Details

sample16.0ms

Algorithm

intervals

Results

6.0ms

310×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	9	3
1	11	3
2	13	2
3	14	2
4	14	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: 0.0b

Counts

2 → 2

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (/ y z) y x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (/ y z) y x)

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

(fma (/ y z) y x)

simplify43.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	27	44
1	68	39
2	221	39
3	820	39
4	5002	39

prune28.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	10	3	13
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	11	4	15

Merged error: 0.0b

Counts

15 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ y z) y) x)
0.2b	(* (/ y z) y)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-l`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`associate-r`
2×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `fma-def` `flip3-+` `div-exp` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip-+` `div-inv`

Counts

2 → 48

Calls

2 calls:

5.0ms	(+ (* (/ y z) y) x)
10.0ms	(* (/ y z) y)

series40.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ (* (/ y z) y) x)
18.0ms	(* (/ y z) y)

simplify107.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 3 (103.0ms)

Iter	Nodes	Cost
0	219	210
1	763	185
2	3920	184
3	5001	181

prune94.0ms

Filtered

54 candidates to 39 candidates (72.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	49	5	54
Fresh	2	1	3
Picked	0	1	1
Done	0	0	0
Total	51	7	58

Merged error: 0.0b

Counts

58 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ y z)) (cbrt (/ y z)))
8.5b	(cbrt (/ y z))
8.5b	(cbrt (/ y z))
8.5b	(cbrt (/ y z))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`add-cube-cbrt` `*-un-lft-identity`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 152

Calls

4 calls:

13.0ms	(* (cbrt (/ y z)) (cbrt (/ y z)))
3.0ms	(cbrt (/ y z))
2.0ms	(cbrt (/ y z))
2.0ms	(cbrt (/ y z))

series269.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(* (cbrt (/ y z)) (cbrt (/ y z)))
58.0ms	(cbrt (/ y z))
64.0ms	(cbrt (/ y z))
63.0ms	(cbrt (/ y z))

simplify82.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	267	1139
1	917	1091
2	3590	1046
3	5001	1022

prune377.0ms

Filtered

164 candidates to 127 candidates (77.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	163	1	164
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	164	7	171

Merged error: 0b

Counts

171 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series736.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(* (cbrt y) (cbrt y))
176.0ms	(cbrt y)
173.0ms	(cbrt y)
181.0ms	(cbrt y)

simplify96.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (90.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255

prune200.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	93	7	100

Merged error: 0b

Counts

100 → 7

regimes149.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample434.0ms

Algorithm

intervals

Results

224.0ms

10530×

body

valid