Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

306×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	2
1	12	2
2	15	2
3	16	2
4	16	2

prune2.0ms

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: 8.1b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

7.8b	(/ (* x y) z)

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-/r`
2×	`cbrt-undiv` `div-exp`
1×	`pow1` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 21

Calls

1 calls:

4.0ms

(/ (* x y) z)

series22.0ms

Counts

1 → 3

Calls

1 calls:

21.0ms

(/ (* x y) z)

simplify59.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	111	85
1	514	70
2	2471	70
3	5001	70

prune40.0ms

Filtered

24 candidates to 16 candidates (66.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	18	6	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	7	25

Merged error: 0.0b

Counts

25 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt z)
0.5b	(cbrt z)
0.5b	(cbrt z)
3.4b	(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

rewrite20.0ms

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)
13.0ms	(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series551.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(cbrt z)
165.0ms	(cbrt z)
169.0ms	(cbrt z)
47.0ms	(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify65.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (51.0ms)

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

prune236.0ms

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

localize4.0ms

Local error

Found 1 expressions with local error:

6.5b	(/ x (/ z y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 70

Calls

1 calls:

5.0ms

(/ x (/ z y))

series21.0ms

Counts

1 → 3

Calls

1 calls:

21.0ms

(/ x (/ z y))

simplify43.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	325	452
1	1331	432
2	5002	431

prune145.0ms

Filtered

73 candidates to 59 candidates (80.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	70	3	73
Fresh	2	2	4
Picked	0	1	1
Done	0	2	2
Total	72	8	80

Merged error: 0b

Counts

80 → 8

localize5.0ms

Local error

Found 1 expressions with local error:

4.5b	(/ (/ x z) (/ 1 y))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

421×	`times-frac`
197×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
29×	`div-inv`
23×	`add-exp-log`
16×	`div-exp`
13×	`associate-/r` `add-cbrt-cube` `associate-/l`
8×	`cbrt-undiv`
2×	`rec-exp` `1-exp`
1×	`pow1` `frac-2neg` `clear-num` `associate-/r/` `associate-/l/` `add-log-exp`

Counts

1 → 219

Calls

1 calls:

10.0ms

(/ (/ x z) (/ 1 y))

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

(/ (/ x z) (/ 1 y))

simplify49.0ms

Algorithm

egg-herbie

Counts

222 → 222

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1192	2154
1	5002	1879

prune325.0ms

Filtered

222 candidates to 126 candidates (56.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	220	2	222
Fresh	2	2	4
Picked	0	1	1
Done	1	2	3
Total	223	7	230

Merged error: 0b

Counts

230 → 7

regimes231.0ms

Accuracy

91.7% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 6.4b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	15
1	27	15

end0.0ms

sample383.0ms

Algorithm

intervals

Results

183.0ms

9631×

body

valid