Details

Time bar (total: 1.9s)

sample11.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
062
162

prune1.0ms

Filtered
1 candidates to 0 candidates (0.0%)
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
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))

simplify107.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
07755
120150
247550
3128250
4389350
5500250

prune22.0ms

Filtered
15 candidates to 11 candidates (73.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x (/ 1.0 3.0)))
0.0b
(+ x (/ 1.0 3.0))
0.0b
(+ x (/ 1.0 3.0))
0.2b
(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
33×*-un-lft-identity
30×sqrt-prod
26×add-sqr-sqrt
20×pow1
14×sqrt-div
13×add-cube-cbrt
11×swap-sqr
9×sqrt-pow1 flip3-+ pow1/2 flip-+ distribute-lft-out
8×add-log-exp
7×associate-*r* associate-*l*
6×add-exp-log add-cbrt-cube
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×+-commutative associate-*r/ associate-*l/ sum-log
1×pow2 rem-sqrt-square pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 102
Calls
4 calls:
11.0ms
(sqrt (+ x (/ 1.0 3.0)))
8.0ms
(+ x (/ 1.0 3.0))
6.0ms
(+ x (/ 1.0 3.0))
49.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

series84.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(sqrt (+ x (/ 1.0 3.0)))
16.0ms
(+ x (/ 1.0 3.0))
16.0ms
(+ x (/ 1.0 3.0))
18.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

simplify35.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0224573
1883518
25001502

prune153.0ms

Filtered
114 candidates to 61 candidates (53.5%)
Pruning

4 alts after pruning (2 fresh and 2 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))))

rewrite70.0ms

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:
6.0ms
(cbrt (+ x (/ 1.0 3.0)))
6.0ms
(cbrt (+ x (/ 1.0 3.0)))
6.0ms
(cbrt (+ x (/ 1.0 3.0)))
50.0ms
(* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))

series393.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(cbrt (+ x (/ 1.0 3.0)))
97.0ms
(cbrt (+ x (/ 1.0 3.0)))
104.0ms
(cbrt (+ x (/ 1.0 3.0)))
105.0ms
(* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))

simplify151.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0338995
11139936
24901841
35001841

prune285.0ms

Filtered
107 candidates to 75 candidates (70.1%)
Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ 1.0 3.0))
0.5b
(pow (+ x (/ 1.0 3.0)) 3)
20.0b
(cbrt (pow (+ x (/ 1.0 3.0)) 3))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
14×cbrt-prod
9×add-sqr-sqrt add-cube-cbrt
8×unpow-prod-down cube-prod
5×distribute-lft-out add-log-exp
4×pow1 add-exp-log cube-div add-cbrt-cube
3×pow-unpow flip3-+ flip-+
2×cube-mult cbrt-div unpow3 sqr-pow
1×+-commutative pow-to-exp pow-pow pow1/3 pow-exp sum-log rem-cbrt-cube rem-cube-cbrt
Counts
3 → 64
Calls
3 calls:
6.0ms
(+ x (/ 1.0 3.0))
12.0ms
(pow (+ x (/ 1.0 3.0)) 3)
12.0ms
(cbrt (pow (+ x (/ 1.0 3.0)) 3))

series64.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(+ x (/ 1.0 3.0))
26.0ms
(pow (+ x (/ 1.0 3.0)) 3)
21.0ms
(cbrt (pow (+ x (/ 1.0 3.0)) 3))

simplify33.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0204326
1877311
25001303

prune94.0ms

Filtered
73 candidates to 39 candidates (53.4%)
Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes29.0ms

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

sample191.0ms

Algorithm
intervals
Results
107.0ms8000×body80valid