Details

sample15.0ms

Algorithm

intervals

Results

5.0ms

292×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	2
1	8	2
2	8	2

prune2.0ms

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

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* x y) x)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 12

Calls

1 calls:

3.0ms

(- (* x y) x)

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(- (* x y) x)

simplify164.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	60	59
1	169	52
2	519	51
3	1340	51
4	4984	51
5	5001	51

prune24.0ms

Filtered

10 candidates to 15 candidates (-50.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	13	2	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	3	16

Merged error: 0.0b

Counts

16 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

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:

3.0ms	(cbrt (- (* x y) x))
3.0ms	(cbrt (- (* x y) x))
3.0ms	(cbrt (- (* x y) x))
11.0ms	(* (cbrt (- (* x y) x)) (cbrt (- (* x y) x)))

series64.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(cbrt (- (* x y) x))
16.0ms	(cbrt (- (* x y) x))
14.0ms	(cbrt (- (* x y) x))
20.0ms	(* (cbrt (- (* x y) x)) (cbrt (- (* x y) x)))

simplify46.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	346	1115
1	1135	1064
2	5001	990

prune125.0ms

Filtered

75 candidates to 99 candidates (-32.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	99	3	102

Merged error: 0.0b

Counts

102 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

4.3b	(- (* (* x y) (* x y)) (* x x))
15.8b	(/ (* (cbrt (- (* (* x y) (* x y)) (* x x))) (cbrt (- (* (* x y) (* x y)) (* x x)))) (* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x))))
29.6b	(cbrt (- (* (* x y) (* x y)) (* x x)))
29.6b	(cbrt (- (* (* x y) (* x y)) (* x x)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-div`
16×	`add-exp-log`
9×	`flip3--` `flip--`
8×	`cbrt-prod` `frac-times` `associate-/r/` `add-cbrt-cube` `associate-/l/`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `flip-+` `add-log-exp`
4×	`pow1` `cbrt-undiv` `associate-r/` `div-exp` `associate-l/` `prod-exp` `cbrt-unprod`
3×	`difference-of-squares`
2×	`pow1/3`
1×	`sub-neg` `frac-2neg` `times-frac` `diff-log` `clear-num` `associate-/r` `div-inv` `associate-/l`

Counts

4 → 78

Calls

4 calls:

6.0ms	(- (* (* x y) (* x y)) (* x x))
28.0ms	(/ (* (cbrt (- (* (* x y) (* x y)) (* x x))) (cbrt (- (* (* x y) (* x y)) (* x x)))) (* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x))))
6.0ms	(cbrt (- (* (* x y) (* x y)) (* x x)))
6.0ms	(cbrt (- (* (* x y) (* x y)) (* x x)))

series121.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- (* (* x y) (* x y)) (* x x))
37.0ms	(/ (* (cbrt (- (* (* x y) (* x y)) (* x x))) (cbrt (- (* (* x y) (* x y)) (* x x)))) (* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x))))
38.0ms	(cbrt (- (* (* x y) (* x y)) (* x x)))
35.0ms	(cbrt (- (* (* x y) (* x y)) (* x x)))

simplify58.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	493	1609
1	1704	1347
2	5002	1276

prune120.0ms

Filtered

75 candidates to 90 candidates (-20.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	90	3	93

Merged error: 0.0b

Counts

93 → 3

regimes105.0ms

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	5	2
1	5	2

end0.0ms

sample395.0ms

Algorithm

intervals

Results

163.0ms

9141×

body

valid

Details

sample15.0ms

simplify4.0ms

prune2.0ms

localize3.0ms

rewrite4.0ms

series5.0ms

simplify164.0ms

prune24.0ms

localize7.0ms

rewrite24.0ms

series64.0ms

simplify46.0ms

prune125.0ms

localize17.0ms

rewrite49.0ms

series121.0ms

simplify58.0ms

prune120.0ms

regimes105.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample395.0ms

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