Details

sample20.0ms

Algorithm

intervals

Results

10.0ms

338×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

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: 7.0b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (* y y) z))
10.3b	(/ (* y y) z)

rewrite10.0ms

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:

4.0ms	(+ x (/ (* y y) z))
5.0ms	(/ (* y y) z)

series47.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(+ x (/ (* y y) z))
18.0ms	(/ (* y y) z)

simplify82.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (5.0ms)

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

prune64.0ms

Filtered

39 candidates to 28 candidates (71.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	3	40

Merged error: 0.0b

Counts

40 → 3

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))

series47.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ x (/ y (/ z y)))
18.0ms	(/ y (/ z y))

simplify56.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (45.0ms)

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

prune136.0ms

Filtered

88 candidates to 63 candidates (71.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	87	4	91

Merged error: 0b

Counts

91 → 4

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))

series46.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ x (* y (/ y z)))
18.0ms	(* y (/ y z))

simplify34.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (7.0ms)

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

prune63.0ms

Filtered

49 candidates to 33 candidates (67.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	49	4	53

Merged error: 0b

Counts

53 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (/ (sqrt y) z) (* (sqrt y) y)))
0.1b	(* (sqrt y) y)
0.1b	(/ (sqrt y) z)
2.4b	(* (/ (sqrt y) z) (* (sqrt y) y))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
36×	`times-frac`
35×	`add-cube-cbrt` `*-un-lft-identity`
28×	`associate-l`
25×	`sqrt-prod`
20×	`add-exp-log` `add-cbrt-cube`
15×	`pow1`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-/l*` `add-log-exp`
4×	`associate-r` `pow-prod-down`
3×	`cbrt-undiv` `div-exp` `associate-/r*`
2×	`sqrt-pow1` `pow-plus` `pow1/2` `*-commutative` `pow-prod-up` `div-inv` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `cube-unmult` `associate-*l/` `clear-num` `sum-log` `flip-+`

Counts

4 → 119

Calls

4 calls:

3.0ms	(+ x (* (/ (sqrt y) z) (* (sqrt y) y)))
5.0ms	(* (sqrt y) y)
4.0ms	(/ (sqrt y) z)
10.0ms	(* (/ (sqrt y) z) (* (sqrt y) y))

series174.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(+ x (* (/ (sqrt y) z) (* (sqrt y) y)))
33.0ms	(* (sqrt y) y)
63.0ms	(/ (sqrt y) z)
29.0ms	(* (/ (sqrt y) z) (* (sqrt y) y))

simplify67.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	498	726
1	2163	612
2	5002	598

prune255.0ms

Filtered

131 candidates to 88 candidates (67.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	131	4	135

Merged error: 0b

Counts

135 → 4

regimes97.0ms

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	7	3
1	7	3

end0.0ms

sample474.0ms

Algorithm

intervals

Results

264.0ms

10708×

body

valid