Details

sample16.0ms

Algorithm

intervals

Results

6.0ms

301×

body

valid

simplify13.0ms

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

prune3.0ms

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: 8.2b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

8.0b	(/ (* x y) z)

rewrite6.0ms

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` `expm1-log1p-u` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 23

Calls

1 calls:

5.0ms

(/ (* x y) z)

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

(/ (* x y) z)

simplify72.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	113	91
1	516	76
2	2473	76
3	5002	76

prune61.0ms

Filtered

26 candidates to 18 candidates (69.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	19	7	26
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	8	27

Merged error: 0.0b

Counts

27 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt z)
0.5b	(cbrt z)
0.5b	(cbrt z)
4.5b	(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

rewrite27.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 100

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
19.0ms	(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series887.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(cbrt z)
192.0ms	(cbrt z)
451.0ms	(cbrt z)
56.0ms	(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify65.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	424	748
1	2233	609
2	5001	570

prune265.0ms

Filtered

112 candidates to 89 candidates (79.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	112	8	120

Merged error: 0.0b

Counts

120 → 8

localize5.0ms

Local error

Found 1 expressions with local error:

5.5b	(/ x (/ z y))

rewrite10.0ms

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` `expm1-log1p-u` `frac-2neg` `clear-num` `associate-/r/` `log1p-expm1-u` `add-log-exp`

Counts

1 → 72

Calls

1 calls:

6.0ms

(/ x (/ z y))

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

(/ x (/ z y))

simplify52.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	327	458
1	1333	438
2	5001	437

prune166.0ms

Filtered

75 candidates to 61 candidates (81.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	73	2	75
Fresh	3	2	5
Picked	0	1	1
Done	0	2	2
Total	76	7	83

Merged error: 0b

Counts

83 → 7

localize4.0ms

Local error

Found 1 expressions with local error:

5.6b	(* 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` `expm1-log1p-u` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 34

Calls

1 calls:

7.0ms

(* x (/ y z))

series23.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

(* x (/ y z))

simplify88.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	168	139
1	746	124
2	3155	124
3	5002	124

prune56.0ms

Filtered

37 candidates to 24 candidates (64.9%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	37	0	37
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	37	7	44

Merged error: 0b

Counts

44 → 7

regimes212.0ms

Accuracy

84.9% (0.8b remaining)

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

bsearch2.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	14
1	29	14
2	32	14
3	32	14

end0.0ms

sample413.0ms

Algorithm

intervals

Results

198.0ms

9620×

body

valid