Details

sample19.0ms

Algorithm

intervals

Results

8.0ms	288×	body	80	valid
0.0ms	1×	body	640	valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	303	11
1	303	11

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- y 1.0))
0.0b	(+ (* x (- y 1.0)) (- 0.918938533204673 (* y 0.5)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
7×	`add-log-exp`
6×	`-un-lft-identity` `associate-r/`
5×	`sub-neg` `flip3--` `associate-r` `flip--`
4×	`pow1` `add-exp-log` `distribute-rgt-in` `add-cube-cbrt` `associate-+l+` `distribute-lft-in` `frac-add` `add-cbrt-cube`
3×	`associate-l`
2×	`associate-+r+` `sum-log`
1×	`+-commutative` `associate-+r-` `flip3-+` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 49

Calls

2 calls:

6.0ms	(* x (- y 1.0))
8.0ms	(+ (* x (- y 1.0)) (- 0.918938533204673 (* y 0.5)))

series11.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(* x (- y 1.0))
6.0ms	(+ (* x (- y 1.0)) (- 0.918938533204673 (* y 0.5)))

simplify20.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (14.0ms)

Iter	Nodes	Cost
0	5074	670

prune71.0ms

Filtered

37 candidates to 55 candidates (-48.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	52	3	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	52	4	56

Merged error: 0b

Counts

56 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- y 1.0))
0.2b	(cbrt (- y 1.0))
0.2b	(cbrt (- y 1.0))
0.2b	(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
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 → 101

Calls

4 calls:

3.0ms	(cbrt (- y 1.0))
3.0ms	(cbrt (- y 1.0))
3.0ms	(cbrt (- y 1.0))
10.0ms	(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))

series32.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(cbrt (- y 1.0))
8.0ms	(cbrt (- y 1.0))
7.0ms	(cbrt (- y 1.0))
10.0ms	(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))

simplify36.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5234	1250

prune225.0ms

Filtered

86 candidates to 113 candidates (-31.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	113	4	117

Merged error: 0b

Counts

117 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series88.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (cbrt x) (cbrt x))
23.0ms	(cbrt x)
21.0ms	(cbrt x)
21.0ms	(cbrt x)

simplify69.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5837	334

prune72.0ms

Filtered

52 candidates to 85 candidates (-63.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	85	4	89

Merged error: 0b

Counts

89 → 4

localize11.0ms

Local error

Found 2 expressions with local error:

1.7b	(pow (exp x) (- y 1.0))
2.2b	(log (pow (exp x) (- y 1.0)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `log-prod` `*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`unpow-prod-down`
5×	`pow-unpow`
4×	`unpow-prod-up` `pow-pow`
3×	`pow1` `add-exp-log` `exp-prod` `rem-log-exp`
2×	`pow-to-exp` `sub-neg` `pow-exp` `add-cbrt-cube` `pow-sub` `add-log-exp` `sqr-pow`
1×	`log-div` `log-pow` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 46

Calls

2 calls:

5.0ms	(pow (exp x) (- y 1.0))
3.0ms	(log (pow (exp x) (- y 1.0)))

series22.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(pow (exp x) (- y 1.0))
13.0ms	(log (pow (exp x) (- y 1.0)))

simplify49.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5175	392

prune55.0ms

Filtered

33 candidates to 52 candidates (-57.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	52	4	56

Merged error: 0b

Counts

56 → 4

regimes77.0ms

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	13	11
1	13	11

end0.0ms

sample481.0ms

Algorithm

intervals

Results

251.0ms	9171×	body	80	valid
1.0ms	6×	body	640	valid
0.0ms	1×	body	320	valid

Details

sample19.0ms

simplify8.0ms

prune6.0ms

localize7.0ms

rewrite15.0ms

series11.0ms

simplify20.0ms

prune71.0ms

localize11.0ms

rewrite23.0ms

series32.0ms

simplify36.0ms

prune225.0ms

localize11.0ms

rewrite11.0ms

series88.0ms

simplify69.0ms

prune72.0ms

localize11.0ms

rewrite9.0ms

series22.0ms

simplify49.0ms

prune55.0ms

regimes77.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample481.0ms

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