Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

300×

body

valid

simplify9.0ms

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: 8.7b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

8.4b	(/ (* 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)

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

(/ (* x y) z)

simplify68.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 1 (6.0ms)

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

prune47.0ms

Filtered

24 candidates to 16 candidates (66.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	19	5	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	6	25

Merged error: 0.0b

Counts

25 → 6

localize4.0ms

Local error

Found 1 expressions with local error:

3.4b	(/ 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` `frac-2neg` `clear-num` `associate-/r/` `add-log-exp`

Counts

1 → 70

Calls

1 calls:

6.0ms

(/ x (/ z y))

series21.0ms

Counts

1 → 3

Calls

1 calls:

21.0ms

(/ x (/ z y))

simplify46.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (39.0ms)

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

prune137.0ms

Filtered

73 candidates to 59 candidates (80.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	73	6	79

Merged error: 0b

Counts

79 → 6

localize4.0ms

Local error

Found 1 expressions with local error:

3.6b	(* x (/ y z))

rewrite12.0ms

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` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 32

Calls

1 calls:

11.0ms

(* x (/ y z))

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

(* x (/ y z))

simplify77.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	166	133
1	744	118
2	3153	118
3	5002	118

prune49.0ms

Filtered

35 candidates to 23 candidates (65.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	35	6	41

Merged error: 0b

Counts

41 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.6b	(* (cbrt y) (cbrt y))
1.3b	(/ x (/ z (cbrt y)))
5.2b	(* (* (cbrt y) (cbrt y)) (/ x (/ z (cbrt y))))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

263×	`times-frac`
167×	`add-sqr-sqrt`
150×	`add-cube-cbrt` `*-un-lft-identity`
83×	`cbrt-prod`
77×	`associate-r`
32×	`add-exp-log`
22×	`associate-/r*`
21×	`add-cbrt-cube`
16×	`pow1`
10×	`prod-exp` `cbrt-unprod`
9×	`cbrt-undiv` `div-exp` `div-inv`
8×	`unswap-sqr`
7×	`pow1/3` `associate-l`
6×	`swap-sqr`
5×	`pow-prod-down`
4×	`add-log-exp`
3×	`associate-/l*`
2×	`associate-/r/` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `frac-2neg` `pow-plus` `associate-*r/` `clear-num`

Counts

4 → 256

Calls

4 calls:

1.0ms	(cbrt y)
5.0ms	(* (cbrt y) (cbrt y))
8.0ms	(/ x (/ z (cbrt y)))
24.0ms	(* (* (cbrt y) (cbrt y)) (/ x (/ z (cbrt y))))

series521.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(cbrt y)
204.0ms	(* (cbrt y) (cbrt y))
84.0ms	(/ x (/ z (cbrt y)))
44.0ms	(* (* (cbrt y) (cbrt y)) (/ x (/ z (cbrt y))))

simplify56.0ms

Algorithm

egg-herbie

Counts

268 → 268

Iterations

Useful iterations: 1 (34.0ms)

Iter	Nodes	Cost
0	1009	2122
1	5002	1865

prune645.0ms

Filtered

268 candidates to 228 candidates (85.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	268	0	268
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	268	6	274

Merged error: 0b

Counts

274 → 6

regimes141.0ms

Accuracy

81.1% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 6.4b

bsearch1.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 2 (1.0ms)

Iter	Nodes	Cost
0	24	18
1	27	18
2	33	12
3	36	12
4	42	12
5	53	12
6	60	12
7	61	12
8	61	12

end0.0ms

sample398.0ms

Algorithm

intervals

Results

208.0ms

9573×

body

valid