Details

sample26.0ms

Algorithm

intervals

Results

11.0ms

328×

body

valid

simplify10.0ms

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: 6.2b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

6.0b	(/ (* 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)

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(/ (* x y) z)

simplify64.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (6.0ms)

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

prune47.0ms

Filtered

26 candidates to 18 candidates (69.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	21	5	26
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	6	27

Merged error: 0.0b

Counts

27 → 6

localize5.0ms

Local error

Found 1 expressions with local error:

6.1b	(* (* x y) (/ 1 z))

rewrite13.0ms

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:

11.0ms

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

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

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

simplify40.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (36.0ms)

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

prune51.0ms

Filtered

43 candidates to 21 candidates (48.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	43	6	49

Merged error: 0.0b

Counts

49 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

6.0b	(/ (* x y) z)
12.6b	(cbrt (/ (* x y) z))
12.6b	(cbrt (/ (* x y) z))
12.6b	(cbrt (/ (* x y) z))

rewrite15.0ms

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))

series286.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ (* x y) z)
85.0ms	(cbrt (/ (* x y) z))
88.0ms	(cbrt (/ (* x y) z))
90.0ms	(cbrt (/ (* x y) z))

simplify80.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 3 (73.0ms)

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

prune208.0ms

Filtered

89 candidates to 72 candidates (80.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	88	7	95

Merged error: 0.0b

Counts

95 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

6.0b	(/ (* x y) z)
12.6b	(cbrt (/ (* x y) z))
12.6b	(cbrt (/ (* x y) z))
12.8b	(cbrt (* x y))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

5.0ms	(/ (* x y) z)
3.0ms	(cbrt (/ (* x y) z))
3.0ms	(cbrt (/ (* x y) z))
2.0ms	(cbrt (* x y))

series278.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/ (* x y) z)
90.0ms	(cbrt (/ (* x y) z))
90.0ms	(cbrt (/ (* x y) z))
76.0ms	(cbrt (* x y))

simplify88.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	229	397
1	799	353
2	3377	329
3	5003	326

prune235.0ms

Filtered

82 candidates to 66 candidates (80.5%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	81	8	89

Merged error: 0.0b

Counts

89 → 8

regimes229.0ms

Accuracy

80.8% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 6.2b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	14
1	23	14

end0.0ms

sample381.0ms

Algorithm

intervals

Results

181.0ms

9540×

body

valid