Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

327×

body

valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	3
1	32	3
2	70	3
3	90	3
4	97	3
5	97	3

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (* x y) (- 1.0 y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 26

Calls

1 calls:

12.0ms

(* (* x y) (- 1.0 y))

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(* (* x y) (- 1.0 y))

simplify31.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	167	140
1	840	114
2	5002	114

prune49.0ms

Filtered

29 candidates to 15 candidates (51.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

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:

20.0ms	(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
2.0ms	(cbrt (- 1.0 y))
2.0ms	(cbrt (- 1.0 y))
2.0ms	(cbrt (- 1.0 y))

series376.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
90.0ms	(cbrt (- 1.0 y))
89.0ms	(cbrt (- 1.0 y))
90.0ms	(cbrt (- 1.0 y))

simplify146.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (136.0ms)

Iter	Nodes	Cost
0	316	847
1	1003	807
2	4436	753
3	5001	749

prune314.0ms

Filtered

113 candidates to 81 candidates (71.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

26×	`cbrt-div`
16×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`flip3--` `flip--`
7×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `frac-times` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`associate-r/` `associate-l/`

Counts

4 → 62

Calls

4 calls:

2.0ms	(cbrt (- 1.0 y))
2.0ms	(cbrt (- 1.0 y))
2.0ms	(cbrt (- 1.0 y))
8.0ms	(cbrt (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))

series372.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(cbrt (- 1.0 y))
93.0ms	(cbrt (- 1.0 y))
88.0ms	(cbrt (- 1.0 y))
103.0ms	(cbrt (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))

simplify71.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	306	635
1	761	604
2	2448	592
3	5001	592

prune306.0ms

Filtered

74 candidates to 64 candidates (86.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
9.0b	(cbrt (* (* x y) (- 1.0 y)))
9.0b	(cbrt (* (* x y) (- 1.0 y)))
9.0b	(cbrt (* (* x y) (- 1.0 y)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

12.0ms	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
7.0ms	(cbrt (* (* x y) (- 1.0 y)))
7.0ms	(cbrt (* (* x y) (- 1.0 y)))
7.0ms	(cbrt (* (* x y) (- 1.0 y)))

series682.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
132.0ms	(cbrt (* (* x y) (- 1.0 y)))
129.0ms	(cbrt (* (* x y) (- 1.0 y)))
261.0ms	(cbrt (* (* x y) (- 1.0 y)))

simplify45.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	401	1054
1	1337	968
2	5001	887

prune242.0ms

Filtered

84 candidates to 67 candidates (79.8%)

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes81.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample351.0ms

Algorithm

intervals

Results

192.0ms

10677×

body

valid