Details

Time bar (total: 2.2s)

sample9.0ms

Algorithm
intervals
Results
3.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
072
1102
2102

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (/ 1.0 3.0))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
3×*-un-lft-identity add-log-exp
2×difference-of-squares
1×pow1 add-exp-log add-cube-cbrt sub-neg flip3-- times-frac diff-log add-cbrt-cube flip-- distribute-lft-out--
Counts
1 → 15
Calls
1 calls:
6.0ms
(- x (/ 1.0 3.0))

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(- x (/ 1.0 3.0))

simplify107.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
08177
117872
242872
3120472
4429172
5500172

prune28.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- x (/ 1.0 3.0)))
0.2b
(cbrt (- x (/ 1.0 3.0)))
0.2b
(cbrt (- x (/ 1.0 3.0)))
0.8b
(* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0))))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
50×cbrt-prod
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
14×difference-of-squares
11×pow1 swap-sqr
9×flip3-- pow1/3 associate-*r* associate-*l* flip-- distribute-lft-out--
7×times-frac
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 107
Calls
4 calls:
6.0ms
(cbrt (- x (/ 1.0 3.0)))
5.0ms
(cbrt (- x (/ 1.0 3.0)))
5.0ms
(cbrt (- x (/ 1.0 3.0)))
51.0ms
(* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0))))

series430.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(cbrt (- x (/ 1.0 3.0)))
102.0ms
(cbrt (- x (/ 1.0 3.0)))
98.0ms
(cbrt (- x (/ 1.0 3.0)))
126.0ms
(* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0))))

simplify47.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
03971138
113181083
250011000

prune277.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ 1.0 3.0))
0.0b
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
17.1b
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
16×times-frac
13×add-sqr-sqrt add-cube-cbrt
7×add-log-exp
6×distribute-lft-out difference-of-squares
5×add-exp-log add-cbrt-cube
4×associate-/r* associate-/l*
3×pow1
2×flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
1×cbrt-undiv +-commutative sub-neg frac-2neg diff-log div-sub div-exp clear-num sum-log div-inv
Counts
3 → 66
Calls
3 calls:
6.0ms
(+ x (/ 1.0 3.0))
3.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
22.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)))

series148.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(+ x (/ 1.0 3.0))
40.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
85.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)))

simplify41.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0277693
11280635
25002624

prune128.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
0.5b
(pow (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) 3)
9.5b
(cbrt (pow (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) 3))
17.1b
(/ (cbrt (pow (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) 3)) (+ x (/ 1.0 3.0)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
84×cbrt-prod *-un-lft-identity
68×times-frac
48×add-sqr-sqrt add-cube-cbrt
28×unpow-prod-down cube-prod
18×distribute-lft-out
17×associate-/l*
15×difference-of-squares
7×add-exp-log cube-mult unpow3 sqr-pow
6×cube-div add-cbrt-cube add-log-exp
5×pow1
4×cbrt-div flip3-- associate-/r* flip--
3×pow-unpow
2×associate-/r/ associate-/l/
1×cbrt-undiv pow-to-exp sub-neg pow-pow frac-2neg flip3-+ pow1/3 diff-log div-exp pow-exp clear-num rem-cbrt-cube flip-+ div-inv rem-cube-cbrt
Counts
4 → 170
Calls
4 calls:
3.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
4.0ms
(pow (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) 3)
5.0ms
(cbrt (pow (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) 3))
29.0ms
(/ (cbrt (pow (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) 3)) (+ x (/ 1.0 3.0)))

series243.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
72.0ms
(pow (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) 3)
45.0ms
(cbrt (pow (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) 3))
85.0ms
(/ (cbrt (pow (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) 3)) (+ x (/ 1.0 3.0)))

simplify79.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
04162386
119912201
250022187

prune264.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes26.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052

end0.0ms

sample189.0ms

Algorithm
intervals
Results
105.0ms8000×body80valid