Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

334×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	2
1	6	2

prune1.0ms

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: 11.7b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

11.4b

(/ x (* y y))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-/l`
2×	`cbrt-undiv` `div-exp`
1×	`pow1` `expm1-log1p-u` `frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 23

Calls

1 calls:

4.0ms

(/ x (* y y))

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

(/ x (* y y))

simplify91.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	101	92
1	322	77
2	957	77
3	4517	77
4	5002	77

prune47.0ms

Filtered

26 candidates to 18 candidates (69.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	19	7	26
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	20	7	27

Merged error: 0.0b

Counts

27 → 7

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b	(/ (/ x y) y)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
43×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`associate-/l*`
6×	`add-exp-log` `add-cbrt-cube`
5×	`div-inv`
3×	`cbrt-undiv` `div-exp` `associate-/r*`
1×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`

Counts

1 → 72

Calls

1 calls:

6.0ms

(/ (/ x y) y)

series21.0ms

Counts

1 → 3

Calls

1 calls:

21.0ms

(/ (/ x y) y)

simplify33.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	313	455
1	1182	421
2	5001	412

prune109.0ms

Filtered

75 candidates to 50 candidates (66.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	69	6	75
Fresh	5	1	6
Picked	0	1	1
Done	0	0	0
Total	74	8	82

Merged error: 0.0b

Counts

82 → 8

localize7.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ x y)) (cbrt (/ x y)))
11.7b	(cbrt (/ x y))
11.7b	(cbrt (/ x y))
11.7b	(cbrt (/ x y))

rewrite24.0ms

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:

12.0ms	(* (cbrt (/ x y)) (cbrt (/ x y)))
2.0ms	(cbrt (/ x y))
2.0ms	(cbrt (/ x y))
2.0ms	(cbrt (/ x y))

series274.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(* (cbrt (/ x y)) (cbrt (/ x y)))
60.0ms	(cbrt (/ x y))
63.0ms	(cbrt (/ x y))
64.0ms	(cbrt (/ x y))

simplify82.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 3 (64.0ms)

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

prune332.0ms

Filtered

164 candidates to 127 candidates (77.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	164	0	164
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	164	8	172

Merged error: 0.0b

Counts

172 → 8

localize7.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (/ (/ x y) y)) (cbrt (/ (/ x y) y)))
20.0b	(cbrt (/ (/ x y) y))
20.0b	(cbrt (/ (/ x y) y))
20.0b	(cbrt (/ (/ x y) y))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

486×	`times-frac`
325×	`cbrt-prod`
309×	`add-sqr-sqrt`
253×	`add-cube-cbrt` `*-un-lft-identity`
46×	`swap-sqr` `associate-r` `associate-l`
28×	`div-inv`
16×	`unswap-sqr`
11×	`pow1`
9×	`pow1/3`
7×	`cbrt-div`
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 → 339

Calls

4 calls:

44.0ms	(* (cbrt (/ (/ x y) y)) (cbrt (/ (/ x y) y)))
5.0ms	(cbrt (/ (/ x y) y))
5.0ms	(cbrt (/ (/ x y) y))
5.0ms	(cbrt (/ (/ x y) y))

series374.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(* (cbrt (/ (/ x y) y)) (cbrt (/ (/ x y) y)))
89.0ms	(cbrt (/ (/ x y) y))
86.0ms	(cbrt (/ (/ x y) y))
87.0ms	(cbrt (/ (/ x y) y))

simplify93.0ms

Algorithm

egg-herbie

Counts

351 → 351

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	678	3941
1	2345	3845
2	5002	3779

prune817.0ms

Filtered

351 candidates to 262 candidates (74.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	351	0	351
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	351	8	359

Merged error: 0.0b

Counts

359 → 8

regimes72.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	2

end0.0ms

sample327.0ms

Algorithm

intervals

Results

169.0ms

10648×

body

valid