Details

sample22.0ms

Algorithm

intervals

Results

12.0ms

435×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	4
1	25	4
2	27	4
3	27	4

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

3.0ms	(+ (* y y) (* x (+ 2.0 x)))
9.0ms	(* x (+ 2.0 x))

series76.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ (* y y) (* x (+ 2.0 x)))
43.0ms	(* x (+ 2.0 x))

simplify34.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	206	183
1	1038	169
2	5002	169

prune64.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+` `distribute-lft-out`

Counts

2 → 25

Calls

2 calls:

2.0ms	(+ (* x 2.0) (* x x))
14.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))

series87.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(+ (* x 2.0) (* x x))
30.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))

simplify102.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	182	191
1	887	164
2	3634	160
3	5002	160

prune56.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ (* x 2.0) (* x x)) (* y y))) (cbrt (+ (+ (* x 2.0) (* x x)) (* y y))))
0.6b	(cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))
0.6b	(cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))
0.6b	(cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))

rewrite81.0ms

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:

58.0ms	(* (cbrt (+ (+ (* x 2.0) (* x x)) (* y y))) (cbrt (+ (+ (* x 2.0) (* x x)) (* y y))))
6.0ms	(cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))
7.0ms	(cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))
7.0ms	(cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))

series1.2s

Counts

4 → 12

Calls

4 calls:

255.0ms	(* (cbrt (+ (+ (* x 2.0) (* x x)) (* y y))) (cbrt (+ (+ (* x 2.0) (* x x)) (* y y))))
248.0ms	(cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))
446.0ms	(cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))
262.0ms	(cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))

simplify155.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	283	1427
1	1089	1330
2	4850	1247
3	5001	1247

prune263.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))
0.6b	(cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))
0.6b	(cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))
0.6b	(cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))

rewrite31.0ms

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:

7.0ms	(cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))
7.0ms	(cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))
7.0ms	(cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))
10.0ms	(cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))

series990.0ms

Counts

4 → 12

Calls

4 calls:

248.0ms	(cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))
250.0ms	(cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))
246.0ms	(cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))
247.0ms	(cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))

simplify57.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	153	740
1	471	688
2	1851	676
3	5002	676

prune286.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes140.0ms

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	10	4
1	10	4

end0.0ms

sample541.0ms

Algorithm

intervals

Results

319.0ms

14253×

body

valid