Details

Time bar (total: 4.1s)

sample47.0ms

Algorithm
intervals
Results
31.0ms457×body80valid

simplify111.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
07042
125242
2105942
3471342
4500142

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

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)

rewrite45.0ms

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

series103.0ms

Counts
4 → 10
Calls
4 calls:
27.0ms
(* (* (fabs x) (fabs x)) (fabs x))
26.0ms
(* (* (fabs x) (fabs x)) (fabs x))
50.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify50.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0348647
11405470
25001462

prune407.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize34.0ms

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)

rewrite43.0ms

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:
7.0ms
(* (* (fabs x) (fabs x)) (fabs x))
28.0ms
(* (/ 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)

series92.0ms

Counts
4 → 10
Calls
4 calls:
31.0ms
(* (* (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)

simplify52.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0415718
11711555
25002485

prune487.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize40.0ms

Local error

Found 4 expressions with local error:

0.3b
(pow (sqrt (fabs (pow (fabs x) 3/2))) 3)
1.0b
(sqrt PI)
19.7b
(sqrt (fabs (pow (fabs x) 3/2)))
19.7b
(sqrt (fabs (pow (fabs x) 3/2)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt sqrt-prod
12×add-cube-cbrt *-un-lft-identity
9×pow1
6×unpow-prod-down cube-prod
5×add-exp-log add-cbrt-cube
4×expm1-log1p-u sqrt-pow1 pow1/2 log1p-expm1-u add-log-exp
3×rem-sqrt-square pow-unpow pow-pow
1×cube-mult pow-to-exp unpow3 pow-exp sqrt-pow2 rem-cube-cbrt sqr-pow
Counts
4 → 79
Calls
4 calls:
2.0ms
(pow (sqrt (fabs (pow (fabs x) 3/2))) 3)
1.0ms
(sqrt PI)
1.0ms
(sqrt (fabs (pow (fabs x) 3/2)))
1.0ms
(sqrt (fabs (pow (fabs x) 3/2)))

series70.0ms

Counts
4 → 10
Calls
4 calls:
47.0ms
(pow (sqrt (fabs (pow (fabs x) 3/2))) 3)
0.0ms
(sqrt PI)
11.0ms
(sqrt (fabs (pow (fabs x) 3/2)))
12.0ms
(sqrt (fabs (pow (fabs x) 3/2)))

simplify36.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0215489
1811453
25002445

prune418.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize44.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt PI)
19.7b
(sqrt (fabs (pow (fabs x) 3/2)))
19.7b
(sqrt (fabs (pow (fabs x) 3/2)))
20.2b
(cbrt (fabs (pow (fabs x) 3/2)))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×sqrt-prod
8×add-cube-cbrt *-un-lft-identity
7×pow1
4×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×cbrt-prod rem-sqrt-square sqrt-pow1 pow1/2
1×pow1/3
Counts
4 → 58
Calls
4 calls:
1.0ms
(sqrt PI)
1.0ms
(sqrt (fabs (pow (fabs x) 3/2)))
1.0ms
(sqrt (fabs (pow (fabs x) 3/2)))
1.0ms
(cbrt (fabs (pow (fabs x) 3/2)))

series132.0ms

Counts
4 → 10
Calls
4 calls:
0.0ms
(sqrt PI)
11.0ms
(sqrt (fabs (pow (fabs x) 3/2)))
11.0ms
(sqrt (fabs (pow (fabs x) 3/2)))
109.0ms
(cbrt (fabs (pow (fabs x) 3/2)))

simplify69.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0146362
1445353
21923351
35001351

prune441.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.1b

regimes202.0ms

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)

IterNodesCost
04944
14944

end0.0ms

sample1.1s

Algorithm
intervals
Results
938.0ms13959×body80valid