Details

sample20.0ms

Algorithm

intervals

Results

10.0ms

447×

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

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))

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:

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

series86.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(+ (* x 2.0) (* x x))
35.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))

simplify106.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 3 (102.0ms)

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

prune85.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

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` `expm1-log1p-u` `associate-+l+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+` `log1p-expm1-u`
1×	`+-commutative` `fma-def` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 41

Calls

2 calls:

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

series75.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(+ (* x (+ 2.0 x)) (* y y))
45.0ms	(* x (+ 2.0 x))

simplify37.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	216	193
1	1104	179
2	5002	175

prune85.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x 2.0 (* x x))
0.0b	(+ (cbrt (pow (fma x 2.0 (* x x)) 3)) (* y y))
0.1b	(pow (fma x 2.0 (* x x)) 3)
39.2b	(cbrt (pow (fma x 2.0 (* x x)) 3))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
15×	`fma-def`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down` `cube-prod`
6×	`add-log-exp`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`cube-mult` `pow-unpow` `unpow3` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `flip3-+` `pow1/3` `pow-exp` `sum-log` `rem-cbrt-cube` `flip-+` `fma-udef` `rem-cube-cbrt`

Counts

4 → 86

Calls

4 calls:

0.0ms	(fma x 2.0 (* x x))
12.0ms	(+ (cbrt (pow (fma x 2.0 (* x x)) 3)) (* y y))
1.0ms	(pow (fma x 2.0 (* x x)) 3)
2.0ms	(cbrt (pow (fma x 2.0 (* x x)) 3))

series172.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(fma x 2.0 (* x x))
29.0ms	(+ (cbrt (pow (fma x 2.0 (* x x)) 3)) (* y y))
39.0ms	(pow (fma x 2.0 (* x x)) 3)
53.0ms	(cbrt (pow (fma x 2.0 (* x x)) 3))

simplify38.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	231	425
1	1137	368
2	5001	359

prune184.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes67.0ms

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	11	5
1	11	5

end0.0ms

sample545.0ms

Algorithm

intervals

Results

330.0ms

14235×

body

valid