Details

sample46.0ms

Algorithm

intervals

Results

30.0ms

457×

body

valid

simplify107.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 0.2b

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)

rewrite47.0ms

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` `pow-sqr` `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 → 107

Calls

4 calls:

8.0ms	(* (* (fabs x) (fabs x)) (fabs x))
8.0ms	(* (* (fabs x) (fabs x)) (fabs x))
26.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms	(sqrt PI)

series106.0ms

Counts

4 → 10

Calls

4 calls:

27.0ms	(* (* (fabs x) (fabs x)) (fabs x))
27.0ms	(* (* (fabs x) (fabs x)) (fabs x))
52.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify47.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	340	603
1	1373	426
2	5002	425

prune361.0ms

Pruning

4 alts after pruning (4 fresh and 0 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)))
0.2b	(* (fabs (pow (fabs x) 3/2)) (fabs (pow (fabs x) 3/2)))
1.0b	(sqrt PI)

rewrite45.0ms

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×	`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 → 104

Calls

4 calls:

7.0ms	(* (* (fabs x) (fabs x)) (fabs x))
30.0ms	(* (/ 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)

series95.0ms

Counts

4 → 10

Calls

4 calls:

27.0ms	(* (* (fabs x) (fabs x)) (fabs x))
50.0ms	(* (/ 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)

simplify51.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	405	670
1	1675	507
2	5001	448

prune459.0ms

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

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

78×	`pow1`
46×	`pow-prod-up`
39×	`add-exp-log` `add-cbrt-cube`
21×	`sqrt-pow1` `pow1/2` `prod-exp` `cbrt-unprod`
19×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
15×	`associate-l` `pow-prod-down`
13×	`associate-r`
10×	`sqrt-prod`
9×	`times-frac`
6×	`pow2` `pow-plus` `pow-sqr`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp` `*-commutative`
2×	`unswap-sqr`
1×	`rem-sqrt-square` `associate-*l/` `div-inv`

Counts

4 → 122

Calls

4 calls:

33.0ms	(* (* (* (fabs x) (fabs x)) (sqrt (fabs x))) (sqrt (fabs x)))
30.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
9.0ms	(* (* (fabs x) (fabs x)) (sqrt (fabs x)))
1.0ms	(sqrt PI)

series136.0ms

Counts

4 → 10

Calls

4 calls:

32.0ms	(* (* (* (fabs x) (fabs x)) (sqrt (fabs x))) (sqrt (fabs x)))
45.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
58.0ms	(* (* (fabs x) (fabs x)) (sqrt (fabs x)))
0.0ms	(sqrt PI)

simplify62.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	461	731
1	2155	515
2	5001	509

prune442.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize37.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (fabs x))
0.7b	(cbrt (fabs x))
0.7b	(cbrt (fabs x))
1.0b	(sqrt PI)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
5×	`pow1`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`pow1/3` `sqrt-prod`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 46

Calls

4 calls:

0.0ms	(cbrt (fabs x))
0.0ms	(cbrt (fabs x))
1.0ms	(cbrt (fabs x))
1.0ms	(sqrt PI)

series317.0ms

Counts

4 → 10

Calls

4 calls:

106.0ms	(cbrt (fabs x))
104.0ms	(cbrt (fabs x))
107.0ms	(cbrt (fabs x))
0.0ms	(sqrt PI)

simplify62.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 3 (13.0ms)

Iter	Nodes	Cost
0	50	198
1	106	180
2	258	172
3	1167	170
4	5001	170

prune293.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.1b

regimes86.0ms

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	49	44
1	49	44

end0.0ms

sample1.1s

Algorithm

intervals

Results

909.0ms

13959×

body

valid