Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

321×

body

valid

simplify94.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

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

prune6.0ms

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: 7.4b

Counts

2 → 2

localize4.0ms

Local error

Found 1 expressions with local error:

7.2b	(* x (/ y z))

rewrite9.0ms

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))

series21.0ms

Counts

1 → 3

Calls

1 calls:

21.0ms

(* x (/ y z))

simplify76.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 1 (8.0ms)

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

prune107.0ms

Filtered

37 candidates to 26 candidates (70.3%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	25	12	37
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	26	13	39

Merged error: 0.0b

Counts

39 → 13

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
1.6b	(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
13.0ms	(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

series653.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(cbrt y)
185.0ms	(cbrt y)
180.0ms	(cbrt y)
92.0ms	(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

simplify49.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	308	503
1	1346	407
2	5002	368

prune261.0ms

Filtered

83 candidates to 65 candidates (78.3%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	83	13	96

Merged error: 0.0b

Counts

96 → 13

localize4.0ms

Local error

Found 1 expressions with local error:

4.3b	(/ (* 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:

5.0ms

(/ (* x y) z)

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

(/ (* x y) z)

simplify71.0ms

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

prune54.0ms

Filtered

26 candidates to 15 candidates (57.7%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	23	3	26
Fresh	5	5	10
Picked	0	1	1
Done	0	2	2
Total	28	11	39

Merged error: 0.0b

Counts

39 → 11

localize5.0ms

Local error

Found 1 expressions with local error:

4.4b	(* (* x y) (/ 1 z))

rewrite10.0ms

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))

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

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

simplify41.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (37.0ms)

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

prune50.0ms

Filtered

43 candidates to 20 candidates (46.5%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	7	7
Picked	0	1	1
Done	0	3	3
Total	43	11	54

Merged error: 0.0b

Counts

54 → 11

regimes218.0ms

Accuracy

0% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 1.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	12
1	13	12

end0.0ms

sample513.0ms

Algorithm

intervals

Results

274.0ms

9653×

body

valid