Details

Time bar (total: 3.6s)

sample9.0ms

Algorithm
intervals
Results
3.0ms256×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
072
1102
2102

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (/ 1.0 3.0))

rewrite11.0ms

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:
11.0ms
(- x (/ 1.0 3.0))

series20.0ms

Counts
1 → 3
Calls
1 calls:
20.0ms
(- x (/ 1.0 3.0))

simplify113.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
08177
117872
242872
3120472
4429172
5500172

prune30.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- x (/ 1.0 3.0)))
0.3b
(cbrt (- x (/ 1.0 3.0)))
0.3b
(cbrt (- x (/ 1.0 3.0)))
0.7b
(* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0))))

rewrite110.0ms

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:
9.0ms
(cbrt (- x (/ 1.0 3.0)))
9.0ms
(cbrt (- x (/ 1.0 3.0)))
9.0ms
(cbrt (- x (/ 1.0 3.0)))
79.0ms
(* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0))))

series407.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(cbrt (- x (/ 1.0 3.0)))
94.0ms
(cbrt (- x (/ 1.0 3.0)))
96.0ms
(cbrt (- x (/ 1.0 3.0)))
121.0ms
(* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0))))

simplify51.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
03971138
113181083
250011000

prune278.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ x (/ 1.0 3.0)))
0.7b
(/ (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (cbrt (+ x (/ 1.0 3.0))))
0.7b
(* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0))))
15.4b
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))

rewrite137.0ms

Algorithm
rewrite-expression-head
Rules
104×cbrt-prod
78×*-un-lft-identity
74×add-sqr-sqrt
53×times-frac
46×add-cube-cbrt
20×cbrt-div
17×difference-of-squares
11×pow1 swap-sqr
9×associate-*r* associate-*l* distribute-lft-out
8×add-exp-log flip3-- pow1/3 flip--
7×associate-/r* associate-/l*
6×distribute-lft-out--
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×flip3-+ associate-*r/ pow-prod-down associate-*l/ associate-/r/ pow-sqr pow-prod-up flip-+ associate-/l/
1×cbrt-undiv pow2 frac-2neg pow-plus div-exp prod-exp clear-num *-commutative cbrt-unprod div-inv
Counts
4 → 166
Calls
4 calls:
9.0ms
(cbrt (+ x (/ 1.0 3.0)))
36.0ms
(/ (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (cbrt (+ x (/ 1.0 3.0))))
80.0ms
(* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0))))
6.0ms
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))

series511.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(cbrt (+ x (/ 1.0 3.0)))
125.0ms
(/ (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (cbrt (+ x (/ 1.0 3.0))))
116.0ms
(* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0))))
186.0ms
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))

simplify84.0ms

Algorithm
egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
07172482
126912407
250012315

prune507.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt (cbrt (- x (/ 1.0 3.0))))
0.7b
(cbrt (cbrt (- x (/ 1.0 3.0))))
0.7b
(cbrt (cbrt (- x (/ 1.0 3.0))))
15.4b
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
49×cbrt-prod
26×add-sqr-sqrt
17×*-un-lft-identity
14×cbrt-div
11×add-cube-cbrt
7×difference-of-squares
4×pow1 add-exp-log flip3-- pow1/3 add-cbrt-cube flip-- add-log-exp
3×times-frac distribute-lft-out--
Counts
4 → 71
Calls
4 calls:
12.0ms
(cbrt (cbrt (- x (/ 1.0 3.0))))
9.0ms
(cbrt (cbrt (- x (/ 1.0 3.0))))
10.0ms
(cbrt (cbrt (- x (/ 1.0 3.0))))
6.0ms
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))

series528.0ms

Counts
4 → 12
Calls
4 calls:
114.0ms
(cbrt (cbrt (- x (/ 1.0 3.0))))
109.0ms
(cbrt (cbrt (- x (/ 1.0 3.0))))
111.0ms
(cbrt (cbrt (- x (/ 1.0 3.0))))
193.0ms
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))

simplify44.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0391865
11274819
25002795

prune390.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes36.0ms

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

sample210.0ms

Algorithm
intervals
Results
106.0ms8000×body80valid