Details

Time bar (total: 5.9s)

sample47.0ms

Algorithm
intervals
Results
32.0ms427×body80valid

simplify106.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
06942
123142
290042
3375342
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

localize24.0ms

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)

rewrite344.0ms

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:
8.0ms
(* (* (fabs x) (fabs x)) (fabs x))
305.0ms
(* (/ 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)

series135.0ms

Counts
4 → 10
Calls
4 calls:
26.0ms
(* (* (fabs x) (fabs x)) (fabs x))
63.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
46.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify69.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
06291132
12659763
25001731

prune441.0ms

Filtered
137 candidates to 72 candidates (52.6%)
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
(* (/ 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)

rewrite346.0ms

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×add-log-exp
3×*-commutative
2×pow2 pow-plus associate-*l/ pow-sqr div-inv unswap-sqr
1×rem-sqrt-square
Counts
4 → 130
Calls
4 calls:
305.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
9.0ms
(* (* (fabs x) (fabs x)) (sqrt (fabs x)))
26.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series163.0ms

Counts
4 → 10
Calls
4 calls:
57.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
56.0ms
(* (* (fabs x) (fabs x)) (sqrt (fabs x)))
49.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify88.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
06541163
13190820
25002770

prune558.0ms

Filtered
140 candidates to 77 candidates (55.0%)
Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (pow (fabs x) 5/2) (sqrt (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)

rewrite346.0ms

Algorithm
rewrite-expression-head
Rules
75×add-exp-log
72×add-cbrt-cube
45×prod-exp
43×cbrt-unprod
35×pow1
34×add-sqr-sqrt
33×associate-*l*
23×add-cube-cbrt *-un-lft-identity
21×pow-prod-down
18×times-frac
9×sqrt-prod
8×cbrt-undiv div-exp associate-*r*
6×unswap-sqr
5×unpow-prod-down
4×add-log-exp
3×*-commutative sqr-pow
2×sqrt-pow1 pow1/2 associate-*l/ pow-prod-up div-inv
1×pow-to-exp rem-sqrt-square pow-exp
Counts
4 → 132
Calls
4 calls:
7.0ms
(* (pow (fabs x) 5/2) (sqrt (fabs x)))
303.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
29.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series139.0ms

Counts
4 → 10
Calls
4 calls:
31.0ms
(* (pow (fabs x) 5/2) (sqrt (fabs x)))
58.0ms
(* (/ 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)))
0.0ms
(sqrt PI)

simplify82.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
06941242
12997923
25002898

prune796.0ms

Filtered
142 candidates to 83 candidates (58.5%)
Pruning

7 alts after pruning (4 fresh and 3 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)))
0.5b
(pow (sqrt (fabs x)) 3)
1.0b
(sqrt PI)
14.9b
(cbrt (* (pow (fabs x) 6) (pow (sqrt (fabs x)) 3)))

rewrite34.0ms

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×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 → 92
Calls
4 calls:
25.0ms
(* (/ 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)))

series136.0ms

Counts
4 → 10
Calls
4 calls:
46.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
33.0ms
(pow (sqrt (fabs x)) 3)
0.0ms
(sqrt PI)
56.0ms
(cbrt (* (pow (fabs x) 6) (pow (sqrt (fabs x)) 3)))

simplify77.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
0426608
12016496
25001485

prune453.0ms

Filtered
102 candidates to 58 candidates (56.9%)
Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.1b

regimes268.0ms

Accuracy

0% (0.5b remaining)

Error of 0.7b against oracle of 0.2b and baseline of 0.7b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05546
15546

end0.0ms

sample1.1s

Algorithm
intervals
Results
933.0ms13970×body80valid