Details

Time bar (total: 5.3s)

sample109.0ms

Algorithm
intervals
Results
93.0ms457×body80valid

simplify107.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06942
123142
290042
3375342
4500142

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite49.0ms

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:
7.0ms
(* (* (fabs x) (fabs x)) (fabs x))
8.0ms
(* (* (fabs x) (fabs x)) (fabs x))
29.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series104.0ms

Counts
4 → 10
Calls
4 calls:
27.0ms
(* (* (fabs x) (fabs x)) (fabs x))
31.0ms
(* (* (fabs x) (fabs x)) (fabs x))
46.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify43.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0340603
11373426
25002425

prune347.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize40.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (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)

rewrite42.0ms

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:
8.0ms
(* (* (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)

series96.0ms

Counts
4 → 10
Calls
4 calls:
27.0ms
(* (* (fabs x) (fabs x)) (fabs x))
51.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
18.0ms
(* (fabs (pow (fabs x) 3/2)) (fabs (pow (fabs x) 3/2)))
0.0ms
(sqrt PI)

simplify52.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0405670
11675507
25001448

prune431.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.2b
(pow (pow (fabs x) 3) 3)
1.0b
(sqrt PI)
14.8b
(cbrt (pow (pow (fabs x) 3) 3))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
36×unpow-prod-down cube-prod
30×cbrt-prod
27×add-exp-log add-sqr-sqrt
26×add-cube-cbrt *-un-lft-identity add-cbrt-cube
14×pow1
13×associate-*l*
12×prod-exp cbrt-unprod
9×times-frac
6×cube-mult unpow3 pow-prod-down sqr-pow
4×pow-exp add-log-exp
3×cbrt-undiv pow-unpow div-exp sqrt-prod
2×pow-to-exp
1×rem-sqrt-square pow-pow sqrt-pow1 pow1/2 pow1/3 associate-*r* associate-*l/ *-commutative rem-cbrt-cube div-inv rem-cube-cbrt
Counts
4 → 133
Calls
4 calls:
29.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
3.0ms
(pow (pow (fabs x) 3) 3)
1.0ms
(sqrt PI)
4.0ms
(cbrt (pow (pow (fabs x) 3) 3))

series132.0ms

Counts
4 → 10
Calls
4 calls:
45.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
59.0ms
(pow (pow (fabs x) 3) 3)
0.0ms
(sqrt PI)
27.0ms
(cbrt (pow (pow (fabs x) 3) 3))

simplify84.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
0459687
12138619
25001612

prune429.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.2b

regimes159.0ms

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)

IterNodesCost
04944
14944

end0.0ms

sample3.0s

Algorithm
intervals
Results
2.8s13974×body80valid