Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

287×

body

valid

simplify85.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	19	3
2	43	3
3	55	3
4	59	3
5	67	3
6	87	3
7	123	3
8	198	3
9	381	3
10	454	3
11	629	3
12	889	3
13	1260	3
14	1684	3
15	2354	3
16	5002	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: 0.0b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* (+ x 1.0) y) x)
0.0b	(* (+ x 1.0) y)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/`
1×	`sub-neg` `flip3--` `flip3-+` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

5.0ms	(- (* (+ x 1.0) y) x)
6.0ms	(* (+ x 1.0) y)

series48.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(- (* (+ x 1.0) y) x)
29.0ms	(* (+ x 1.0) y)

simplify65.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	149	159
1	616	147
2	3110	145
3	5001	145

prune61.0ms

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

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (* (+ x 1.0) y) x)) (cbrt (- (* (+ x 1.0) y) x)))
0.5b	(cbrt (- (* (+ x 1.0) y) x))
0.5b	(cbrt (- (* (+ x 1.0) y) x))
0.5b	(cbrt (- (* (+ x 1.0) y) x))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

15.0ms	(* (cbrt (- (* (+ x 1.0) y) x)) (cbrt (- (* (+ x 1.0) y) x)))
8.0ms	(cbrt (- (* (+ x 1.0) y) x))
5.0ms	(cbrt (- (* (+ x 1.0) y) x))
5.0ms	(cbrt (- (* (+ x 1.0) y) x))

series398.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(* (cbrt (- (* (+ x 1.0) y) x)) (cbrt (- (* (+ x 1.0) y) x)))
96.0ms	(cbrt (- (* (+ x 1.0) y) x))
98.0ms	(cbrt (- (* (+ x 1.0) y) x))
95.0ms	(cbrt (- (* (+ x 1.0) y) x))

simplify51.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	359	1250
1	1144	1176
2	5001	1078

prune228.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	99	3	102

Merged error: 0.0b

Counts

102 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0)) x)
4.5b	(* (- (* x x) (* 1.0 1.0)) y)
11.0b	(/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-/r*` `add-log-exp`
4×	`flip3--` `associate-l` `associate-*l/` `flip--` `difference-of-squares`
3×	`associate-r` `distribute-lft-out--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`sub-neg` `frac-2neg` `diff-log` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 64

Calls

3 calls:

10.0ms	(- (/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0)) x)
6.0ms	(* (- (* x x) (* 1.0 1.0)) y)
9.0ms	(/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0))

series140.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(- (/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0)) x)
39.0ms	(* (- (* x x) (* 1.0 1.0)) y)
59.0ms	(/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0))

simplify48.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	344	562
1	1658	502
2	5002	493

prune129.0ms

Filtered

73 candidates to 54 candidates (74.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	73	3	76

Merged error: 0b

Counts

76 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ (* 1.0 y) (* x y)) x)
0.0b	(+ (* 1.0 y) (* x y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`add-sqr-sqrt` `*-un-lft-identity`
2×	`pow1` `add-exp-log` `add-cube-cbrt` `diff-log` `sum-log` `add-cbrt-cube`
1×	`+-commutative` `sub-neg` `distribute-rgt-out` `flip3--` `flip3-+` `associate--l+` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 28

Calls

2 calls:

6.0ms	(- (+ (* 1.0 y) (* x y)) x)
3.0ms	(+ (* 1.0 y) (* x y))

series54.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(- (+ (* 1.0 y) (* x y)) x)
34.0ms	(+ (* 1.0 y) (* x y))

simplify65.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 3 (62.0ms)

Iter	Nodes	Cost
0	149	189
1	548	173
2	2172	168
3	5001	167

prune53.0ms

Filtered

34 candidates to 23 candidates (67.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	34	0	34
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	34	3	37

Merged error: 0b

Counts

37 → 3

regimes38.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample286.0ms

Algorithm

intervals

Results

153.0ms	9165×	body	80	valid
0.0ms	1×	body	1280	valid