Details

sample11.0ms

Algorithm

intervals

Results

4.0ms

303×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune1.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* x y) x)

rewrite3.0ms

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)

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(- (* x y) x)

simplify161.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 2 (8.0ms)

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

prune25.0ms

Filtered

15 candidates to 10 candidates (66.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

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

rewrite32.0ms

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:

2.0ms	(cbrt (- (* x y) x))
2.0ms	(cbrt (- (* x y) x))
2.0ms	(cbrt (- (* x y) x))
22.0ms	(* (cbrt (- (* x y) x)) (cbrt (- (* x y) x)))

series296.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(cbrt (- (* x y) x))
71.0ms	(cbrt (- (* x y) x))
71.0ms	(cbrt (- (* x y) x))
81.0ms	(* (cbrt (- (* x y) x)) (cbrt (- (* x y) x)))

simplify45.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	348	1054
1	1233	999
2	5001	912

prune238.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize5.0ms

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)))

rewrite37.0ms

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))
23.0ms	(* (sqrt (- (* x y) x)) (sqrt (- (* x y) x)))

series157.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(- (* x y) x)
47.0ms	(sqrt (- (* x y) x))
46.0ms	(sqrt (- (* x y) x))
32.0ms	(* (sqrt (- (* x y) x)) (sqrt (- (* x y) x)))

simplify164.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 3 (156.0ms)

Iter	Nodes	Cost
0	204	608
1	742	546
2	4271	524
3	5002	513

prune172.0ms

Filtered

111 candidates to 63 candidates (56.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (pow (cbrt (sqrt (- (* x y) x))) 5) (cbrt (sqrt (- (* x y) x))))
0.3b	(cbrt (sqrt (- (* x y) x)))
0.3b	(cbrt (sqrt (- (* x y) x)))
0.5b	(pow (cbrt (sqrt (- (* x y) x))) 5)

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

46×	`cbrt-prod` `add-sqr-sqrt`
27×	`unpow-prod-down`
23×	`sqrt-prod`
19×	`add-cube-cbrt` `*-un-lft-identity`
15×	`unswap-sqr`
13×	`associate-l`
10×	`add-exp-log`
9×	`associate-r`
6×	`pow1` `cbrt-div` `sqrt-div`
5×	`add-cbrt-cube` `sqr-pow`
4×	`add-log-exp`
3×	`pow-unpow` `flip3--` `pow1/3` `prod-exp` `flip--`
2×	`pow-to-exp` `pow-pow` `associate-*r/` `pow-exp`
1×	`pow-plus` `*-commutative` `pow-prod-up` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

39.0ms	(* (pow (cbrt (sqrt (- (* x y) x))) 5) (cbrt (sqrt (- (* x y) x))))
3.0ms	(cbrt (sqrt (- (* x y) x)))
3.0ms	(cbrt (sqrt (- (* x y) x)))
6.0ms	(pow (cbrt (sqrt (- (* x y) x))) 5)

series279.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (pow (cbrt (sqrt (- (* x y) x))) 5) (cbrt (sqrt (- (* x y) x))))
66.0ms	(cbrt (sqrt (- (* x y) x)))
72.0ms	(cbrt (sqrt (- (* x y) x)))
104.0ms	(pow (cbrt (sqrt (- (* x y) x))) 5)

simplify47.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	416	1431
1	1410	1350
2	5001	1274

prune305.0ms

Filtered

121 candidates to 88 candidates (72.7%)

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes68.0ms

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

sample258.0ms

Algorithm

intervals

Results

128.0ms

9143×

body

valid