Details

Time bar (total: 5.1s)

sample53.0ms

Algorithm
intervals
Results
37.0ms474×body80valid

simplify107.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
06942
123142
290042
3375342
4500142

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

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)

rewrite363.0ms

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))
322.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
26.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series138.0ms

Counts
4 → 10
Calls
4 calls:
27.0ms
(* (* (fabs x) (fabs x)) (fabs x))
65.0ms
(* (/ 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 (58.0ms)

IterNodesCost
06291132
12659763
25001731

prune440.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
78×pow1
46×pow-prod-up
39×add-exp-log add-cbrt-cube
21×sqrt-pow1 pow1/2 prod-exp cbrt-unprod
19×add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
15×associate-*l* pow-prod-down
13×associate-*r*
10×sqrt-prod
9×times-frac
6×pow2 pow-plus pow-sqr
4×add-log-exp
3×cbrt-undiv div-exp *-commutative
2×unswap-sqr
1×rem-sqrt-square associate-*l/ div-inv
Counts
4 → 122
Calls
4 calls:
33.0ms
(* (* (* (fabs x) (fabs x)) (sqrt (fabs x))) (sqrt (fabs x)))
26.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
10.0ms
(* (* (fabs x) (fabs x)) (sqrt (fabs x)))
1.0ms
(sqrt PI)

series130.0ms

Counts
4 → 10
Calls
4 calls:
27.0ms
(* (* (* (fabs x) (fabs x)) (sqrt (fabs x))) (sqrt (fabs x)))
50.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
53.0ms
(* (* (fabs x) (fabs x)) (sqrt (fabs x)))
0.0ms
(sqrt PI)

simplify61.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0461731
12155515
25001509

prune454.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
78×pow1
46×pow-prod-up
39×add-exp-log add-cbrt-cube
21×sqrt-pow1 pow1/2 prod-exp cbrt-unprod
19×add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
15×associate-*l* pow-prod-down
13×associate-*r*
10×sqrt-prod
9×times-frac
6×pow2 pow-plus pow-sqr
4×add-log-exp
3×cbrt-undiv div-exp *-commutative
2×unswap-sqr
1×rem-sqrt-square associate-*l/ div-inv
Counts
4 → 122
Calls
4 calls:
34.0ms
(* (* (* (fabs x) (fabs x)) (sqrt (fabs x))) (sqrt (fabs x)))
30.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
9.0ms
(* (* (fabs x) (fabs x)) (sqrt (fabs x)))
1.0ms
(sqrt PI)

series136.0ms

Counts
4 → 10
Calls
4 calls:
32.0ms
(* (* (* (fabs x) (fabs x)) (sqrt (fabs x))) (sqrt (fabs x)))
46.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
57.0ms
(* (* (fabs x) (fabs x)) (sqrt (fabs x)))
0.0ms
(sqrt PI)

simplify62.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0461725
12155510
25001504

prune477.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (fabs x) (sqrt (sqrt (fabs x))))
0.2b
(* (fabs x) (sqrt (sqrt (fabs x))))
0.2b
(* (* (fabs x) (sqrt (sqrt (fabs x)))) (* (fabs x) (sqrt (sqrt (fabs x)))))
1.0b
(sqrt PI)

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
78×pow1
31×sqrt-pow1
28×pow-prod-up
27×sqrt-prod
26×add-sqr-sqrt
21×pow-prod-down
20×add-exp-log add-cbrt-cube
19×associate-*r*
13×add-cube-cbrt *-un-lft-identity
11×pow1/2
10×prod-exp cbrt-unprod
7×associate-*l*
6×pow-sqr unswap-sqr
4×add-log-exp
3×*-commutative
2×pow-plus
1×pow2 rem-sqrt-square swap-sqr
Counts
4 → 111
Calls
4 calls:
7.0ms
(* (fabs x) (sqrt (sqrt (fabs x))))
7.0ms
(* (fabs x) (sqrt (sqrt (fabs x))))
26.0ms
(* (* (fabs x) (sqrt (sqrt (fabs x)))) (* (fabs x) (sqrt (sqrt (fabs x)))))
1.0ms
(sqrt PI)

series370.0ms

Counts
4 → 10
Calls
4 calls:
157.0ms
(* (fabs x) (sqrt (sqrt (fabs x))))
154.0ms
(* (fabs x) (sqrt (sqrt (fabs x))))
58.0ms
(* (* (fabs x) (sqrt (sqrt (fabs x)))) (* (fabs x) (sqrt (sqrt (fabs x)))))
0.0ms
(sqrt PI)

simplify108.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 3 (101.0ms)

IterNodesCost
0205714
1767586
23140565
35001553

prune484.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.1b

regimes171.0ms

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
04142
14142

end0.0ms

sample1.1s

Algorithm
intervals
Results
976.0ms13968×body80valid