Details

Time bar (total: 2.9s)

sample8.0ms

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

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
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))

series22.0ms

Counts
1 → 3
Calls
1 calls:
22.0ms
(- x (/ 1.0 3.0))

simplify102.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
08177
117872
242872
3120472
4429172
5500172

prune31.0ms

Filtered
18 candidates to 13 candidates (72.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

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))))

rewrite74.0ms

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)))
6.0ms
(cbrt (- x (/ 1.0 3.0)))
6.0ms
(cbrt (- x (/ 1.0 3.0)))
52.0ms
(* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0))))

series450.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(cbrt (- x (/ 1.0 3.0)))
126.0ms
(cbrt (- x (/ 1.0 3.0)))
100.0ms
(cbrt (- x (/ 1.0 3.0)))
123.0ms
(* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0))))

simplify45.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
03971138
113181083
250011000

prune263.0ms

Filtered
119 candidates to 87 candidates (73.1%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- x (/ 1.0 3.0)))
1.0b
(pow (/ 1 (pow 0.1111111111111111 5)) 1/3)
1.0b
(* (pow (/ 1 (pow 0.1111111111111111 5)) 1/3) 0.07407407407407407)
1.6b
(- (* (pow 0.1111111111111111 1/3) 5.0) (* (pow (/ 1 (pow 0.1111111111111111 5)) 1/3) 0.07407407407407407))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
77×unpow-prod-down
59×add-sqr-sqrt
49×times-frac
41×*-un-lft-identity
37×add-exp-log
36×add-cube-cbrt
29×associate-*l*
26×pow-exp
12×div-exp prod-exp
11×sqr-pow
9×unswap-sqr
8×pow-to-exp
7×add-cbrt-cube
6×cbrt-prod rec-exp 1-exp add-log-exp
5×pow1
3×pow-unpow pow-pow associate-*r*
2×cbrt-div flip3-- unpow1/3 flip-- cbrt-unprod div-inv difference-of-squares
1×sub-neg pow-flip pow1/3 diff-log *-commutative distribute-lft-out-- inv-pow
Counts
4 → 142
Calls
4 calls:
6.0ms
(cbrt (- x (/ 1.0 3.0)))
9.0ms
(pow (/ 1 (pow 0.1111111111111111 5)) 1/3)
31.0ms
(* (pow (/ 1 (pow 0.1111111111111111 5)) 1/3) 0.07407407407407407)
3.0ms
(- (* (pow 0.1111111111111111 1/3) 5.0) (* (pow (/ 1 (pow 0.1111111111111111 5)) 1/3) 0.07407407407407407))

series133.0ms

Counts
4 → 6
Calls
4 calls:
133.0ms
(cbrt (- x (/ 1.0 3.0)))
0.0ms
(pow (/ 1 (pow 0.1111111111111111 5)) 1/3)
0.0ms
(* (pow (/ 1 (pow 0.1111111111111111 5)) 1/3) 0.07407407407407407)
0.0ms
(- (* (pow 0.1111111111111111 1/3) 5.0) (* (pow (/ 1 (pow 0.1111111111111111 5)) 1/3) 0.07407407407407407))

simplify61.0ms

Algorithm
egg-herbie
Counts
148 → 148
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
07311031
12367912
25001910

prune504.0ms

Filtered
148 candidates to 88 candidates (59.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

1.0b
(pow (/ 1 (pow 0.1111111111111111 5)) 1/3)
1.0b
(* (pow (/ 1 (pow 0.1111111111111111 5)) 1/3) 0.07407407407407407)
1.6b
(- (* (pow 0.1111111111111111 1/3) 5.0) (* (pow (/ 1 (pow 0.1111111111111111 5)) 1/3) 0.07407407407407407))
11.6b
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
77×unpow-prod-down
54×add-sqr-sqrt
48×times-frac
39×*-un-lft-identity
37×add-exp-log
36×add-cube-cbrt
29×associate-*l*
26×pow-exp
12×div-exp prod-exp
11×sqr-pow
9×unswap-sqr
8×pow-to-exp
7×add-cbrt-cube
6×rec-exp 1-exp add-log-exp
5×pow1
4×cbrt-prod
3×pow-unpow pow-pow associate-*r*
2×cbrt-div flip3-- unpow1/3 flip-- cbrt-unprod div-inv
1×sub-neg pow-flip pow1/3 diff-log *-commutative inv-pow difference-of-squares
Counts
4 → 140
Calls
4 calls:
7.0ms
(pow (/ 1 (pow 0.1111111111111111 5)) 1/3)
31.0ms
(* (pow (/ 1 (pow 0.1111111111111111 5)) 1/3) 0.07407407407407407)
3.0ms
(- (* (pow 0.1111111111111111 1/3) 5.0) (* (pow (/ 1 (pow 0.1111111111111111 5)) 1/3) 0.07407407407407407))
2.0ms
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))

series184.0ms

Counts
4 → 6
Calls
4 calls:
0.0ms
(pow (/ 1 (pow 0.1111111111111111 5)) 1/3)
0.0ms
(* (pow (/ 1 (pow 0.1111111111111111 5)) 1/3) 0.07407407407407407)
0.0ms
(- (* (pow 0.1111111111111111 1/3) 5.0) (* (pow (/ 1 (pow 0.1111111111111111 5)) 1/3) 0.07407407407407407))
183.0ms
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))

simplify64.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
06941046
12476934
25001932

prune545.0ms

Filtered
146 candidates to 87 candidates (59.6%)
Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes37.0ms

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
118.0ms8000×body80valid