Details

Time bar (total: 5.4s)

sample49.0ms

Algorithm
intervals
Results
32.0ms427×body80valid

simplify116.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
07042
125242
2105942
3471342
4500142

prune4.0ms

Filtered
1 candidates to 0 candidates (0.0%)
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))
0.2b
(* (/ 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×expm1-log1p-u log1p-expm1-u 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 → 135
Calls
4 calls:
8.0ms
(* (* (fabs x) (fabs x)) (fabs x))
325.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
30.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series135.0ms

Counts
4 → 10
Calls
4 calls:
27.0ms
(* (* (fabs x) (fabs x)) (fabs x))
63.0ms
(* (/ 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)

simplify77.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
06391188
12694819
25002787

prune472.0ms

Filtered
145 candidates to 80 candidates (55.2%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.2b
(* (* (fabs x) (fabs x)) (sqrt (fabs x)))
0.2b
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b
(sqrt PI)

rewrite367.0ms

Algorithm
rewrite-expression-head
Rules
75×add-exp-log add-cbrt-cube
53×pow1
45×prod-exp cbrt-unprod
27×associate-*l*
24×add-sqr-sqrt pow-prod-down
21×add-cube-cbrt *-un-lft-identity
18×times-frac
10×pow-prod-up
8×cbrt-undiv div-exp associate-*r*
7×sqrt-prod
5×sqrt-pow1 pow1/2
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×*-commutative
2×pow2 pow-plus associate-*l/ pow-sqr div-inv unswap-sqr
1×rem-sqrt-square
Counts
4 → 138
Calls
4 calls:
323.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
10.0ms
(* (* (fabs x) (fabs x)) (sqrt (fabs x)))
27.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series162.0ms

Counts
4 → 10
Calls
4 calls:
61.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
52.0ms
(* (* (fabs x) (fabs x)) (sqrt (fabs x)))
49.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify90.0ms

Algorithm
egg-herbie
Counts
148 → 148
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
06641221
13205875
25002818

prune594.0ms

Filtered
148 candidates to 85 candidates (57.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.5b
(pow (sqrt (fabs x)) 3)
1.0b
(sqrt PI)
14.9b
(cbrt (* (pow (fabs x) 6) (pow (sqrt (fabs x)) 3)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log add-cbrt-cube
18×add-sqr-sqrt
17×add-cube-cbrt *-un-lft-identity
16×pow1
13×associate-*l*
12×prod-exp cbrt-unprod
9×times-frac sqrt-prod
6×unpow-prod-down cube-prod pow-prod-down
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv pow-unpow pow-pow div-exp
2×sqrt-pow1 pow1/2
1×cbrt-prod cube-mult pow-to-exp rem-sqrt-square pow1/3 unpow3 associate-*r* associate-*l/ pow-exp *-commutative sqrt-pow2 div-inv rem-cube-cbrt sqr-pow
Counts
4 → 100
Calls
4 calls:
27.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
2.0ms
(pow (sqrt (fabs x)) 3)
1.0ms
(sqrt PI)
4.0ms
(cbrt (* (pow (fabs x) 6) (pow (sqrt (fabs x)) 3)))

series139.0ms

Counts
4 → 10
Calls
4 calls:
48.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
34.0ms
(pow (sqrt (fabs x)) 3)
0.0ms
(sqrt PI)
56.0ms
(cbrt (* (pow (fabs x) 6) (pow (sqrt (fabs x)) 3)))

simplify80.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
0435649
12034540
25002522

prune552.0ms

Filtered
110 candidates to 66 candidates (60.0%)
Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.2b
(* (fabs x) (sqrt (fabs x)))
1.0b
(sqrt PI)
14.9b
(cbrt (* (pow (fabs x) 6) (* (fabs x) (sqrt (fabs x)))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log add-cbrt-cube
21×add-sqr-sqrt
19×pow1
16×associate-*l*
15×add-cube-cbrt *-un-lft-identity
13×prod-exp cbrt-unprod
9×times-frac
7×associate-*r* pow-prod-down sqrt-prod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv div-exp
2×sqrt-pow1 pow1/2 *-commutative pow-prod-up unswap-sqr
1×cbrt-prod rem-sqrt-square pow1/3 pow3 associate-*l/ div-inv
Counts
4 → 93
Calls
4 calls:
26.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
5.0ms
(* (fabs x) (sqrt (fabs x)))
1.0ms
(sqrt PI)
8.0ms
(cbrt (* (pow (fabs x) 6) (* (fabs x) (sqrt (fabs x)))))

series143.0ms

Counts
4 → 10
Calls
4 calls:
47.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
38.0ms
(* (fabs x) (sqrt (fabs x)))
0.0ms
(sqrt PI)
57.0ms
(cbrt (* (pow (fabs x) 6) (* (fabs x) (sqrt (fabs x)))))

simplify60.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0401658
11879552
25002519

prune530.0ms

Filtered
103 candidates to 68 candidates (66.0%)
Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.1b

regimes109.0ms

Accuracy

0% (0.1b 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
05046
15046

end0.0ms

sample1.1s

Algorithm
intervals
Results
946.0ms13970×body80valid