Details

Time bar (total: 2.1s)

sample9.0ms

Algorithm
intervals
Results
3.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
062
162

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))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
3×*-un-lft-identity add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt flip3-+ sum-log add-cbrt-cube flip-+ distribute-lft-out
Counts
1 → 12
Calls
1 calls:
6.0ms
(+ x (/ 1.0 3.0))

series17.0ms

Counts
1 → 3
Calls
1 calls:
17.0ms
(+ x (/ 1.0 3.0))

simplify143.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
07755
120150
247550
3128250
4389350
5500250

prune23.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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))))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
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 → 95
Calls
4 calls:
8.0ms
(cbrt (+ x (/ 1.0 3.0)))
5.0ms
(cbrt (+ x (/ 1.0 3.0)))
5.0ms
(cbrt (+ x (/ 1.0 3.0)))
47.0ms
(* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))

series369.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(cbrt (+ x (/ 1.0 3.0)))
88.0ms
(cbrt (+ x (/ 1.0 3.0)))
89.0ms
(cbrt (+ x (/ 1.0 3.0)))
104.0ms
(* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))

simplify161.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0338995
11139936
24901841
35001841

prune220.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

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)))
11.3b
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
30×times-frac
27×*-un-lft-identity
20×difference-of-squares
15×add-cube-cbrt
7×add-log-exp
6×associate-/r* distribute-lft-out--
5×add-exp-log add-cbrt-cube
4×flip3-- flip-- associate-/l*
3×pow1
2×sub-neg diff-log associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv
Counts
3 → 79
Calls
3 calls:
6.0ms
(- x (/ 1.0 3.0))
3.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
18.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)))

series161.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(- x (/ 1.0 3.0))
41.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
98.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)))

simplify46.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0326889
11404804
25002791

prune162.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ 1.0 3.0))
0.0b
(- x (/ 1.0 3.0))
0.2b
(/ (* (/ 1.0 3.0) (/ 1.0 3.0)) (- x (/ 1.0 3.0)))
11.4b
(/ (* x x) (- x (/ 1.0 3.0)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
27×add-exp-log add-cbrt-cube
20×*-un-lft-identity
18×times-frac
12×associate-/r* difference-of-squares
11×cbrt-undiv div-exp
8×add-cube-cbrt add-log-exp
6×distribute-lft-out--
5×prod-exp cbrt-unprod
4×pow1 flip3-- associate-/r/ flip--
3×associate-/l/
2×sub-neg frac-2neg diff-log clear-num div-inv associate-/l*
1×frac-times associate-*r/ associate-*l/
Counts
4 → 97
Calls
4 calls:
6.0ms
(- x (/ 1.0 3.0))
6.0ms
(- x (/ 1.0 3.0))
17.0ms
(/ (* (/ 1.0 3.0) (/ 1.0 3.0)) (- x (/ 1.0 3.0)))
13.0ms
(/ (* x x) (- x (/ 1.0 3.0)))

series119.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(- x (/ 1.0 3.0))
25.0ms
(- x (/ 1.0 3.0))
32.0ms
(/ (* (/ 1.0 3.0) (/ 1.0 3.0)) (- x (/ 1.0 3.0)))
40.0ms
(/ (* x x) (- x (/ 1.0 3.0)))

simplify52.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0458721
12301624
25001623

prune190.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes28.0ms

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
062
162

end0.0ms

sample190.0ms

Algorithm
intervals
Results
104.0ms8000×body80valid