Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

306×

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

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)

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)

series21.0ms

Counts

1 → 3

Calls

1 calls:

21.0ms

(/ (* x y) z)

simplify72.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (7.0ms)

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

prune58.0ms

Filtered

26 candidates to 18 candidates (69.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	20	6	26
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	7	27

Merged error: 0.0b

Counts

27 → 7

localize12.0ms

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)))

rewrite24.0ms

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)
16.0ms	(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series663.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(cbrt z)
200.0ms	(cbrt z)
209.0ms	(cbrt z)
54.0ms	(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify77.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (61.0ms)

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

prune308.0ms

Filtered

112 candidates to 89 candidates (79.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	112	7	119

Merged error: 0.0b

Counts

119 → 7

localize4.0ms

Local error

Found 1 expressions with local error:

6.5b	(/ 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:

7.0ms

(/ x (/ z y))

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

(/ x (/ z y))

simplify50.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (42.0ms)

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

prune191.0ms

Filtered

75 candidates to 61 candidates (81.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	73	2	75
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	74	8	82

Merged error: 0b

Counts

82 → 8

localize6.0ms

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

Counts

1 → 221

Calls

1 calls:

12.0ms

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

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

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

simplify68.0ms

Algorithm

egg-herbie

Counts

224 → 224

Iterations

Useful iterations: 1 (37.0ms)

Iter	Nodes	Cost
0	1194	2162
1	5001	1887

prune413.0ms

Filtered

224 candidates to 128 candidates (57.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	222	2	224
Fresh	2	2	4
Picked	0	1	1
Done	1	2	3
Total	225	7	232

Merged error: 0b

Counts

232 → 7

regimes258.0ms

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

sample381.0ms

Algorithm

intervals

Results

185.0ms

9631×

body

valid