Details

Time bar (total: 6.3s)

sample83.0ms

Algorithm
intervals
Results
67.0ms442×body80valid

simplify105.0ms

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

localize24.0ms

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)

rewrite345.0ms

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))
306.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
25.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series137.0ms

Counts
4 → 10
Calls
4 calls:
27.0ms
(* (* (fabs x) (fabs x)) (fabs x))
64.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
45.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify68.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
06291132
12659763
25001731

prune451.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
24×add-exp-log
18×add-cube-cbrt *-un-lft-identity
16×sqrt-prod
12×times-frac associate-*r* add-cbrt-cube
8×unswap-sqr
7×prod-exp associate-/r* associate-/l*
6×cbrt-prod div-exp associate-*l*
5×pow1 unpow-prod-down cube-prod
4×cbrt-undiv add-log-exp
3×cbrt-unprod sqr-pow
2×pow-to-exp frac-2neg pow-exp clear-num div-inv
1×cube-mult rem-sqrt-square sqrt-pow1 pow1/2 unpow3 *-commutative
Counts
4 → 107
Calls
4 calls:
5.0ms
(/ (* (sqrt 2.0) (pow (fabs x) 3)) (cbrt 3.0))
8.0ms
(* (sqrt 2.0) (pow (fabs x) 3))
1.0ms
(sqrt PI)
5.0ms
(/ (sqrt 2.0) (* (cbrt 3.0) (cbrt 3.0)))

series200.0ms

Counts
4 → 8
Calls
4 calls:
132.0ms
(/ (* (sqrt 2.0) (pow (fabs x) 3)) (cbrt 3.0))
68.0ms
(* (sqrt 2.0) (pow (fabs x) 3))
0.0ms
(sqrt PI)
0.0ms
(/ (sqrt 2.0) (* (cbrt 3.0) (cbrt 3.0)))

simplify50.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0367816
11638756
25001752

prune540.0ms

Pruning

6 alts after pruning (5 fresh and 1 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)

rewrite338.0ms

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:
301.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (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)

series126.0ms

Counts
4 → 10
Calls
4 calls:
59.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (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)

simplify72.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
06561188
12704845
25002782

prune731.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize30.0ms

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)

rewrite31.0ms

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)))
18.0ms
(* (* (fabs x) (sqrt (fabs x))) (* (fabs x) (sqrt (fabs x))))
1.0ms
(sqrt PI)

series105.0ms

Counts
4 → 10
Calls
4 calls:
37.0ms
(* (fabs x) (sqrt (fabs x)))
41.0ms
(* (fabs x) (sqrt (fabs x)))
27.0ms
(* (* (fabs x) (sqrt (fabs x))) (* (fabs x) (sqrt (fabs x))))
0.0ms
(sqrt PI)

simplify159.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 3 (152.0ms)

IterNodesCost
0187485
1656356
23526318
35002302

prune379.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

regimes71.0ms

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
04947
14947

end0.0ms

sample2.2s

Algorithm
intervals
Results
2.0s13983×body80valid