Details

sample20.0ms

Algorithm

intervals

Results

10.0ms

465×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	16	4
1	33	3
2	41	3
3	41	3

prune5.0ms

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
5×	`fma-def`
4×	`sum-log`
3×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
2×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`
1×	`associate-+l+`

Counts

2 → 34

Calls

2 calls:

3.0ms	(+ (* x 2.0) (* x x))
13.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))

series85.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(+ (* x 2.0) (* x x))
33.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))

simplify108.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 3 (104.0ms)

Iter	Nodes	Cost
0	196	206
1	967	178
2	4173	167
3	5001	166

prune92.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma x (+ 2.0 x) (* y y))

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(fma x (+ 2.0 x) (* y y))

simplify72.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	40	62
1	87	52
2	383	52
3	2092	52
4	5001	52

prune33.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x 2.0) (* x x))
0.0b	(+ (+ (* x 2.0) (* x x)) (* y y))
0.0b	(+ (+ (* x 2.0) (* x x)) (* y y))
0.1b	(* (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))) (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
19×	`pow1`
18×	`sqrt-prod`
16×	`add-log-exp`
14×	`add-cube-cbrt` `*-un-lft-identity`
12×	`sqrt-div`
9×	`fma-def` `flip3-+` `flip-+`
8×	`sqrt-pow1` `pow1/2` `swap-sqr`
7×	`sum-log`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `unswap-sqr`
3×	`+-commutative` `pow-prod-down` `pow-sqr` `distribute-lft-out`
2×	`associate-+l+` `associate-r/` `associate-l/`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 112

Calls

4 calls:

5.0ms	(+ (* x 2.0) (* x x))
13.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))
13.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))
59.0ms	(* (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))) (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))))

series140.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(+ (* x 2.0) (* x x))
31.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))
29.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))
30.0ms	(* (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))) (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))))

simplify52.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	291	986
1	1428	843
2	5001	816

prune278.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize18.0ms

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)))

rewrite86.0ms

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×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `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 → 95

Calls

4 calls:

61.0ms	(* (cbrt (+ (+ (* x 2.0) (* x x)) (* y y))) (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)))
7.0ms	(cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))

series987.0ms

Counts

4 → 12

Calls

4 calls:

255.0ms	(* (cbrt (+ (+ (* x 2.0) (* x x)) (* y y))) (cbrt (+ (+ (* x 2.0) (* x x)) (* y y))))
249.0ms	(cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))
239.0ms	(cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))
243.0ms	(cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))

simplify50.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	296	1496
1	1165	1386
2	5002	1302

prune382.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes102.0ms

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	7	3
1	7	3

end0.0ms

sample508.0ms

Algorithm

intervals

Results

309.0ms

14336×

body

valid