Details

sample18.0ms

Algorithm

intervals

Results

9.0ms

336×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	9	3
1	11	3
2	12	3
3	12	3

prune3.0ms

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: 5.3b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (* y y) z))
9.8b	(/ (* y y) z)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-exp-log` `add-cbrt-cube`
6×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
3×	`times-frac` `associate-/r*`
2×	`pow1` `cbrt-undiv` `div-exp`
1×	`+-commutative` `frac-2neg` `flip3-+` `prod-exp` `clear-num` `sum-log` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `associate-/l*`

Counts

2 → 33

Calls

2 calls:

7.0ms	(+ x (/ (* y y) z))
8.0ms	(/ (* y y) z)

series51.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ x (/ (* y y) z))
23.0ms	(/ (* y y) z)

simplify84.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	169	159
1	655	142
2	2763	142
3	5001	142

prune67.0ms

Filtered

39 candidates to 28 candidates (71.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	35	4	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	5	40

Merged error: 0b

Counts

40 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* y (/ y z)))
0.2b	(* y (/ y z))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-r`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`associate-l`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv`

Counts

2 → 43

Calls

2 calls:

3.0ms	(+ x (* y (/ y z)))
6.0ms	(* y (/ y z))

series49.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ x (* y (/ y z)))
18.0ms	(* y (/ y z))

simplify35.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	223	204
1	1010	181
2	5001	181

prune68.0ms

Filtered

49 candidates to 32 candidates (65.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	49	5	54

Merged error: 0b

Counts

54 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ y (/ z y)))
0.2b	(/ y (/ z y))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
46×	`*-un-lft-identity`
44×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube`
5×	`div-inv`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-/l*`
2×	`pow1`
1×	`+-commutative` `frac-2neg` `flip3-+` `clear-num` `sum-log` `associate-/r/` `flip-+` `distribute-lft-out`

Counts

2 → 82

Calls

2 calls:

12.0ms	(+ x (/ y (/ z y)))
6.0ms	(/ y (/ z y))

series50.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ x (/ y (/ z y)))
22.0ms	(/ y (/ z y))

simplify52.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	381	526
1	1826	485
2	5001	478

prune133.0ms

Filtered

88 candidates to 62 candidates (70.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	88	5	93

Merged error: 0b

Counts

93 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ 1 (/ (/ z y) y)))
0.2b	(/ (/ z y) y)
0.8b	(/ 1 (/ (/ z y) y))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

468×	`times-frac`
232×	`*-un-lft-identity`
229×	`add-sqr-sqrt` `add-cube-cbrt`
46×	`associate-/r*`
29×	`add-exp-log`
23×	`div-inv`
18×	`div-exp`
17×	`add-cbrt-cube`
16×	`associate-/l*`
9×	`cbrt-undiv`
5×	`add-log-exp`
4×	`pow1`
3×	`rec-exp` `1-exp`
2×	`frac-2neg` `clear-num` `distribute-lft-out`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `associate-/r/` `flip-+` `associate-/l/` `inv-pow`

Counts

3 → 283

Calls

3 calls:

34.0ms	(+ x (/ 1 (/ (/ z y) y)))
6.0ms	(/ (/ z y) y)
12.0ms	(/ 1 (/ (/ z y) y))

series81.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(+ x (/ 1 (/ (/ z y) y)))
27.0ms	(/ (/ z y) y)
23.0ms	(/ 1 (/ (/ z y) y))

simplify92.0ms

Algorithm

egg-herbie

Counts

292 → 292

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	1041	2425
1	4867	1802
2	5002	1800

prune298.0ms

Filtered

292 candidates to 141 candidates (48.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	292	0	292
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	292	5	297

Merged error: 0b

Counts

297 → 5

regimes123.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample499.0ms

Algorithm

intervals

Results

272.0ms

10553×

body

valid