Details

sample48.0ms

Algorithm

intervals

Results

32.0ms

474×

body

valid

simplify111.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.1b	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.2b	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b	(sqrt PI)

rewrite358.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-exp-log` `add-cbrt-cube`
53×	`pow1`
45×	`prod-exp` `cbrt-unprod`
27×	`associate-l`
24×	`pow-prod-down`
22×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
8×	`cbrt-undiv` `div-exp`
6×	`pow-plus` `pow-prod-up`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-prod` `*-commutative`
2×	`pow2` `associate-*l/` `pow-sqr` `div-inv`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow3` `unswap-sqr`

Counts

4 → 135

Calls

4 calls:

7.0ms	(* (* (fabs x) (fabs x)) (fabs x))
318.0ms	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
26.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms	(sqrt PI)

series140.0ms

Counts

4 → 10

Calls

4 calls:

27.0ms	(* (* (fabs x) (fabs x)) (fabs x))
63.0ms	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
49.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify71.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	639	1188
1	2694	819
2	5002	787

prune471.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.2b	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b	(expm1 (log1p (sqrt PI)))
1.0b	(sqrt PI)

rewrite348.0ms

Algorithm

rewrite-expression-head

Rules

70×	`add-exp-log` `add-cbrt-cube`
42×	`prod-exp` `cbrt-unprod`
34×	`pow1`
26×	`associate-l`
21×	`pow-prod-down`
20×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
8×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-prod`
2×	`associate-r` `associate-l/` `-commutative` `div-inv`
1×	`rem-sqrt-square` `expm1-log1p` `sqrt-pow1` `pow1/2` `expm1-udef`

Counts

4 → 116

Calls

4 calls:

316.0ms	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
26.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(expm1 (log1p (sqrt PI)))
1.0ms	(sqrt PI)

series113.0ms

Counts

4 → 8

Calls

4 calls:

63.0ms	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
49.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(expm1 (log1p (sqrt PI)))
0.0ms	(sqrt PI)

simplify58.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	567	1032
1	2237	724
2	5001	652

prune461.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes127.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	42
1	41	42

end0.0ms

sample1.1s

Algorithm

intervals

Results

947.0ms

13968×

body

valid