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

Filtered

1 candidates to 0 candidates (100.0%)

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

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)

simplify166.0ms

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

prune16.0ms

Filtered

15 candidates to 10 candidates (33.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	14	1	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	2	16

Merged error: 0.0b

Counts

16 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x y) x)
0.0b	(sqrt (- (* x y) x))
0.0b	(sqrt (- (* x y) x))
0.3b	(* (sqrt (- (* x y) x)) (sqrt (- (* x y) x)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3--` `flip--`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`pow2` `sub-neg` `pow-plus` `sqrt-unprod` `diff-log` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 99

Calls

4 calls:

3.0ms	(- (* x y) x)
4.0ms	(sqrt (- (* x y) x))
4.0ms	(sqrt (- (* x y) x))
12.0ms	(* (sqrt (- (* x y) x)) (sqrt (- (* x y) x)))

series25.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- (* x y) x)
8.0ms	(sqrt (- (* x y) x))
7.0ms	(sqrt (- (* x y) x))
5.0ms	(* (sqrt (- (* x y) x)) (sqrt (- (* x y) x)))

simplify185.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 3 (176.0ms)

Iter	Nodes	Cost
0	203	600
1	763	552
2	4577	532
3	5002	521

prune78.0ms

Filtered

111 candidates to 65 candidates (41.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	110	1	111
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	111	2	113

Merged error: 0b

Counts

113 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (fabs (cbrt (- (* x y) x))) (sqrt (cbrt (- (* x y) x))))
0.3b	(* (sqrt (- (* x y) x)) (* (fabs (cbrt (- (* x y) x))) (sqrt (cbrt (- (* x y) x)))))
0.6b	(cbrt (- (* x y) x))
0.6b	(cbrt (- (* x y) x))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
14×	`sqrt-div`
12×	`add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
11×	`pow1` `add-exp-log` `sqrt-prod` `add-cbrt-cube`
10×	`cbrt-prod` `associate-r/` `associate-r*`
9×	`flip3--` `associate-l` `flip--`
4×	`frac-times` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`unswap-sqr`
2×	`pow1/3` `associate-l/` `-commutative`

Counts

4 → 83

Calls

4 calls:

8.0ms	(* (fabs (cbrt (- (* x y) x))) (sqrt (cbrt (- (* x y) x))))
13.0ms	(* (sqrt (- (* x y) x)) (* (fabs (cbrt (- (* x y) x))) (sqrt (cbrt (- (* x y) x)))))
4.0ms	(cbrt (- (* x y) x))
4.0ms	(cbrt (- (* x y) x))

series83.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (fabs (cbrt (- (* x y) x))) (sqrt (cbrt (- (* x y) x))))
32.0ms	(* (sqrt (- (* x y) x)) (* (fabs (cbrt (- (* x y) x))) (sqrt (cbrt (- (* x y) x)))))
14.0ms	(cbrt (- (* x y) x))
15.0ms	(cbrt (- (* x y) x))

simplify60.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	577	1503
1	2029	1409
2	5002	1381

prune147.0ms

Filtered

95 candidates to 77 candidates (18.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	95	2	97

Merged error: 0b

Counts

97 → 2

regimes93.0ms

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

sample391.0ms

Algorithm

intervals

Results

164.0ms

9195×

body

valid

Details

sample15.0ms

simplify4.0ms

prune2.0ms

localize3.0ms

rewrite4.0ms

series5.0ms

simplify166.0ms

prune16.0ms

localize9.0ms

rewrite26.0ms

series25.0ms

simplify185.0ms

prune78.0ms

localize13.0ms

rewrite32.0ms

series83.0ms

simplify60.0ms

prune147.0ms

regimes93.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample391.0ms

Profiling