Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

305×

body

valid

simplify83.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	16	4
1	42	3
2	109	2
3	577	2
4	4438	2
5	5001	2

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 5.2b

Counts

2 → 2

localize4.0ms

Local error

Found 1 expressions with local error:

5.1b	(* x (/ y z))

rewrite7.0ms

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:

6.0ms

(* x (/ y z))

series21.0ms

Counts

1 → 3

Calls

1 calls:

21.0ms

(* x (/ y z))

simplify67.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 1 (6.0ms)

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

prune72.0ms

Filtered

37 candidates to 26 candidates (70.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	30	7	37
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	31	8	39

Merged error: 0.0b

Counts

39 → 8

localize4.0ms

Local error

Found 1 expressions with local error:

2.9b	(/ (* 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` `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:

4.0ms

(/ (* x y) z)

series18.0ms

Counts

1 → 3

Calls

1 calls:

18.0ms

(/ (* x y) z)

simplify58.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (5.0ms)

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

prune37.0ms

Filtered

26 candidates to 14 candidates (53.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	24	2	26
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	26	8	34

Merged error: 0.0b

Counts

34 → 8

localize5.0ms

Local error

Found 1 expressions with local error:

2.9b	(* (* x y) (/ 1 z))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log`
13×	`associate-r` `add-cbrt-cube`
12×	`prod-exp`
9×	`times-frac`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `cbrt-unprod`
4×	`div-exp`
3×	`pow-prod-down`
2×	`cbrt-undiv` `rec-exp` `1-exp`
1×	`expm1-log1p-u` `associate-r/` `associate-l` `un-div-inv` `-commutative` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 40

Calls

1 calls:

8.0ms

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

series18.0ms

Counts

1 → 3

Calls

1 calls:

18.0ms

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

simplify37.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	246	191
1	1261	149
2	5001	135

prune47.0ms

Filtered

43 candidates to 21 candidates (48.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	43	8	51

Merged error: 0.0b

Counts

51 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

2.9b	(/ (* x y) z)
12.7b	(cbrt (/ (* x y) z))
12.7b	(cbrt (/ (* x y) z))
12.7b	(cbrt (/ (* x y) z))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

4.0ms	(/ (* x y) z)
3.0ms	(cbrt (/ (* x y) z))
3.0ms	(cbrt (/ (* x y) z))
3.0ms	(cbrt (/ (* x y) z))

series247.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/ (* x y) z)
76.0ms	(cbrt (/ (* x y) z))
73.0ms	(cbrt (/ (* x y) z))
77.0ms	(cbrt (/ (* x y) z))

simplify71.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 3 (65.0ms)

Iter	Nodes	Cost
0	185	469
1	701	421
2	3131	394
3	5001	391

prune174.0ms

Filtered

89 candidates to 72 candidates (80.9%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	89	8	97

Merged error: 0.0b

Counts

97 → 8

regimes163.0ms

Accuracy

71.4% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 6.2b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	21	11
1	24	7
2	27	7
3	27	7

end0.0ms

sample616.0ms

Algorithm

intervals

Results

356.0ms

9555×

body

valid