Details

sample20.0ms

Algorithm

intervals

Results

10.0ms

438×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	17	6
1	37	5
2	46	5
3	46	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* y (+ (* x 2.0) y)) (* x x))
0.0b	(* y (+ (* x 2.0) y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 35

Calls

2 calls:

5.0ms	(+ (* y (+ (* x 2.0) y)) (* x x))
10.0ms	(* y (+ (* x 2.0) y))

series61.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ (* y (+ (* x 2.0) y)) (* x x))
39.0ms	(* y (+ (* x 2.0) y))

simplify35.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	222	234
1	1119	217
2	5001	217

prune116.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* y (+ (* x 2.0) y))) (cbrt (* y (+ (* x 2.0) y))))
11.1b	(cbrt (* y (+ (* x 2.0) y)))
11.1b	(cbrt (* y (+ (* x 2.0) y)))
11.1b	(cbrt (* y (+ (* x 2.0) y)))

rewrite45.0ms

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:

21.0ms	(* (cbrt (* y (+ (* x 2.0) y))) (cbrt (* y (+ (* x 2.0) y))))
7.0ms	(cbrt (* y (+ (* x 2.0) y)))
7.0ms	(cbrt (* y (+ (* x 2.0) y)))
7.0ms	(cbrt (* y (+ (* x 2.0) y)))

series996.0ms

Counts

4 → 12

Calls

4 calls:

232.0ms	(* (cbrt (* y (+ (* x 2.0) y))) (cbrt (* y (+ (* x 2.0) y))))
239.0ms	(cbrt (* y (+ (* x 2.0) y)))
253.0ms	(cbrt (* y (+ (* x 2.0) y)))
271.0ms	(cbrt (* y (+ (* x 2.0) y)))

simplify66.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (57.0ms)

Iter	Nodes	Cost
0	214	694
1	675	629
2	2431	588
3	5001	573

prune220.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* y (+ (* x 2.0) y)) (* x x))) (cbrt (+ (* y (+ (* x 2.0) y)) (* x x))))
8.5b	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))
8.5b	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))
8.5b	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))

rewrite53.0ms

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:

37.0ms	(* (cbrt (+ (* y (+ (* x 2.0) y)) (* x x))) (cbrt (+ (* y (+ (* x 2.0) y)) (* x x))))
4.0ms	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))
5.0ms	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))
5.0ms	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))

series538.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(* (cbrt (+ (* y (+ (* x 2.0) y)) (* x x))) (cbrt (+ (* y (+ (* x 2.0) y)) (* x x))))
137.0ms	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))
127.0ms	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))
133.0ms	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))

simplify54.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	264	1380
1	1055	1287
2	5002	1202

prune243.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

8.5b	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))
8.5b	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))
8.5b	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))
8.5b	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

5.0ms	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))
4.0ms	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))
5.0ms	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))
5.0ms	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))

series535.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))
137.0ms	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))
130.0ms	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))
136.0ms	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))

simplify77.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	149	692
1	501	640
2	2386	632
3	5001	632

prune234.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes36.0ms

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	12	5
1	12	5

end0.0ms

sample551.0ms

Algorithm

intervals

Results

349.0ms

14290×

body

valid