Details

sample45.0ms

Algorithm

intervals

Results

28.0ms

455×

body

valid

simplify112.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	70	42
1	252	42
2	1059	42
3	4713	42
4	5001	42

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.1b	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b	(sqrt PI)

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

52×	`pow1`
35×	`add-exp-log` `add-cbrt-cube`
18×	`prod-exp` `cbrt-unprod`
17×	`add-sqr-sqrt`
15×	`associate-l`
14×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow-plus` `pow-prod-down` `pow-prod-up`
9×	`times-frac`
7×	`associate-r`
4×	`pow2` `expm1-log1p-u` `pow-sqr` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `sqrt-prod` `*-commutative`
2×	`pow3` `unswap-sqr`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*l/` `div-inv`

Counts

4 → 115

Calls

4 calls:

18.0ms	(* (* (fabs x) (fabs x)) (fabs x))
18.0ms	(* (* (fabs x) (fabs x)) (fabs x))
59.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms	(sqrt PI)

series93.0ms

Counts

4 → 10

Calls

4 calls:

24.0ms	(* (* (fabs x) (fabs x)) (fabs x))
24.0ms	(* (* (fabs x) (fabs x)) (fabs x))
45.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify48.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	348	647
1	1405	470
2	5001	462

prune396.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.1b	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b	(sqrt PI)

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

52×	`pow1`
35×	`add-exp-log` `add-cbrt-cube`
18×	`prod-exp` `cbrt-unprod`
17×	`add-sqr-sqrt`
15×	`associate-l`
14×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow-plus` `pow-prod-down` `pow-prod-up`
9×	`times-frac`
7×	`associate-r`
4×	`pow2` `expm1-log1p-u` `pow-sqr` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `sqrt-prod` `*-commutative`
2×	`pow3` `unswap-sqr`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*l/` `div-inv`

Counts

4 → 115

Calls

4 calls:

19.0ms	(* (* (fabs x) (fabs x)) (fabs x))
18.0ms	(* (* (fabs x) (fabs x)) (fabs x))
59.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms	(sqrt PI)

series95.0ms

Counts

4 → 10

Calls

4 calls:

30.0ms	(* (* (fabs x) (fabs x)) (fabs x))
24.0ms	(* (* (fabs x) (fabs x)) (fabs x))
41.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify44.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	353	644
1	1417	467
2	5002	448

prune457.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.1b	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.2b	(* (fabs (pow (fabs x) 3/2)) (fabs (pow (fabs x) 3/2)))
1.0b	(sqrt PI)

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

40×	`pow1`
32×	`add-exp-log` `add-cbrt-cube`
21×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
16×	`prod-exp` `cbrt-unprod`
10×	`pow-prod-down`
9×	`times-frac`
7×	`pow-plus` `associate-r` `pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `pow2` `swap-sqr` `div-exp` `sqrt-prod` `pow-sqr` `*-commutative`
2×	`unswap-sqr`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow3` `associate-*l/` `div-inv`

Counts

4 → 112

Calls

4 calls:

18.0ms	(* (* (fabs x) (fabs x)) (fabs x))
59.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
7.0ms	(* (fabs (pow (fabs x) 3/2)) (fabs (pow (fabs x) 3/2)))
1.0ms	(sqrt PI)

series84.0ms

Counts

4 → 10

Calls

4 calls:

24.0ms	(* (* (fabs x) (fabs x)) (fabs x))
41.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
19.0ms	(* (fabs (pow (fabs x) 3/2)) (fabs (pow (fabs x) 3/2)))
0.0ms	(sqrt PI)

simplify56.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	415	718
1	1711	555
2	5002	485

prune491.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.1b

localize33.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.1b	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b	(expm1 (log1p (sqrt PI)))
1.0b	(sqrt PI)

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

33×	`pow1`
30×	`add-exp-log` `add-cbrt-cube`
15×	`add-sqr-sqrt` `prod-exp` `cbrt-unprod`
14×	`associate-l`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac` `pow-prod-down`
6×	`pow-plus` `pow-prod-up`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `sqrt-prod`
2×	`pow2` `pow-sqr` `*-commutative`
1×	`rem-sqrt-square` `expm1-log1p` `sqrt-pow1` `pow1/2` `pow3` `associate-*l/` `div-inv` `expm1-udef` `unswap-sqr`

Counts

4 → 96

Calls

4 calls:

18.0ms	(* (* (fabs x) (fabs x)) (fabs x))
60.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(expm1 (log1p (sqrt PI)))
1.0ms	(sqrt PI)

series67.0ms

Counts

4 → 8

Calls

4 calls:

25.0ms	(* (* (fabs x) (fabs x)) (fabs x))
42.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(expm1 (log1p (sqrt PI)))
0.0ms	(sqrt PI)

simplify39.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	307	503
1	1199	374
2	5001	366

prune412.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.1b

regimes257.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	39
1	47	39

end0.0ms

sample1.1s

Algorithm

intervals

Results

887.0ms

13811×

body

valid