Details

sample46.0ms

Algorithm

intervals

Results

30.0ms

437×

body

valid

simplify108.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	69	42
1	231	42
2	900	42
3	3753	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)

rewrite369.0ms

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×	`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 → 127

Calls

4 calls:

7.0ms	(* (* (fabs x) (fabs x)) (fabs x))
328.0ms	(* (/ 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)

series137.0ms

Counts

4 → 10

Calls

4 calls:

26.0ms	(* (* (fabs x) (fabs x)) (fabs x))
61.0ms	(* (/ 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

137 → 137

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	629	1132
1	2659	763
2	5001	731

prune436.0ms

Pruning

4 alts after pruning (4 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)

rewrite370.0ms

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×	`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 → 127

Calls

4 calls:

8.0ms	(* (* (fabs x) (fabs x)) (fabs x))
326.0ms	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
29.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms	(sqrt PI)

series136.0ms

Counts

4 → 10

Calls

4 calls:

29.0ms	(* (* (fabs x) (fabs x)) (fabs x))
58.0ms	(* (/ 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)

simplify75.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	639	1130
1	2869	761
2	5002	736

prune507.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (fabs x) (sqrt (fabs x)))
0.2b	(* (fabs x) (sqrt (fabs x)))
0.2b	(* (* (fabs x) (sqrt (fabs x))) (* (fabs x) (sqrt (fabs x))))
1.0b	(sqrt PI)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

78×	`pow1`
29×	`pow-prod-up`
28×	`add-sqr-sqrt`
22×	`pow-prod-down`
20×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r`
11×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-pow1` `pow1/2` `sqrt-prod`
10×	`prod-exp` `cbrt-unprod`
8×	`pow3`
7×	`associate-l` `pow-sqr`
4×	`add-log-exp` `unswap-sqr`
3×	`*-commutative`
2×	`pow-plus`
1×	`pow2` `rem-sqrt-square` `swap-sqr`

Counts

4 → 108

Calls

4 calls:

4.0ms	(* (fabs x) (sqrt (fabs x)))
4.0ms	(* (fabs x) (sqrt (fabs x)))
17.0ms	(* (* (fabs x) (sqrt (fabs x))) (* (fabs x) (sqrt (fabs x))))
1.0ms	(sqrt PI)

series104.0ms

Counts

4 → 10

Calls

4 calls:

37.0ms	(* (fabs x) (sqrt (fabs x)))
37.0ms	(* (fabs x) (sqrt (fabs x)))
30.0ms	(* (* (fabs x) (sqrt (fabs x))) (* (fabs x) (sqrt (fabs x))))
0.0ms	(sqrt PI)

simplify148.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 3 (137.0ms)

Iter	Nodes	Cost
0	187	504
1	695	356
2	3470	318
3	5002	302

prune398.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize34.0ms

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

rewrite359.0ms

Algorithm

rewrite-expression-head

Rules

72×	`add-exp-log` `add-cbrt-cube`
43×	`prod-exp` `cbrt-unprod`
41×	`pow1`
29×	`associate-l`
26×	`add-sqr-sqrt`
23×	`add-cube-cbrt` `*-un-lft-identity`
22×	`pow-prod-down`
18×	`times-frac`
8×	`cbrt-undiv` `div-exp`
5×	`associate-r`
4×	`add-log-exp`
3×	`swap-sqr` `sqrt-prod` `*-commutative`
2×	`associate-*l/` `div-inv`
1×	`pow2` `rem-sqrt-square` `sqrt-pow1` `pow-plus` `pow1/2` `pow-sqr` `pow-prod-up` `unswap-sqr`

Counts

4 → 124

Calls

4 calls:

324.0ms	(* (/ 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)))
3.0ms	(* (fabs (pow (fabs x) 3/2)) (fabs (pow (fabs x) 3/2)))
1.0ms	(sqrt PI)

series125.0ms

Counts

4 → 10

Calls

4 calls:

63.0ms	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
44.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
17.0ms	(* (fabs (pow (fabs x) 3/2)) (fabs (pow (fabs x) 3/2)))
0.0ms	(sqrt PI)

simplify71.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	656	1187
1	2704	845
2	5002	782

prune540.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.1b

regimes75.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	40
1	51	40

end0.0ms

sample1.1s

Algorithm

intervals

Results

943.0ms

13989×

body

valid