Details

Time bar (total: 2.0s)

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))

series25.0ms

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

simplify118.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
08177
117872
242872
3120472
4429172
5500172

prune26.0ms

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:

0.3b
(cbrt (- x (/ 1.0 3.0)))
0.3b
(cbrt (- x (/ 1.0 3.0)))
0.3b
(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)))
6.0ms
(cbrt (- x (/ 1.0 3.0)))
6.0ms
(cbrt (- x (/ 1.0 3.0)))
51.0ms
(* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0))))

series405.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(cbrt (- x (/ 1.0 3.0)))
94.0ms
(cbrt (- x (/ 1.0 3.0)))
94.0ms
(cbrt (- x (/ 1.0 3.0)))
120.0ms
(* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0))))

simplify45.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
03971138
113181083
250011000

prune250.0ms

Filtered
119 candidates to 87 candidates (73.1%)
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)))
16.8b
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)))

rewrite30.0ms

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)))
20.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)))

series138.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(+ x (/ 1.0 3.0))
40.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
82.0ms
(/ (- (* 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 (31.0ms)

IterNodesCost
0277693
11280635
25002624

prune119.0ms

Filtered
75 candidates to 56 candidates (74.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (+ x (/ 1.0 3.0)))
0.0b
(+ x (/ 1.0 3.0))
0.0b
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
16.9b
(* (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (/ 1 (+ x (/ 1.0 3.0))))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
39×*-un-lft-identity
29×add-sqr-sqrt
26×times-frac
22×add-cube-cbrt
18×associate-*r*
17×add-exp-log
11×add-cbrt-cube
8×distribute-lft-out add-log-exp
7×pow1
4×div-exp associate-*l* prod-exp associate-/r* associate-/r/
3×flip3-- flip3-+ flip-- flip-+ associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ cbrt-unprod div-inv difference-of-squares
1×+-commutative sub-neg pow-flip frac-2neg diff-log associate-*r/ pow-prod-down clear-num sum-log un-div-inv *-commutative inv-pow
Counts
4 → 108
Calls
4 calls:
12.0ms
(/ 1 (+ x (/ 1.0 3.0)))
6.0ms
(+ x (/ 1.0 3.0))
3.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
40.0ms
(* (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (/ 1 (+ x (/ 1.0 3.0))))

series164.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ 1 (+ x (/ 1.0 3.0)))
16.0ms
(+ x (/ 1.0 3.0))
42.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
82.0ms
(* (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (/ 1 (+ x (/ 1.0 3.0))))

simplify76.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
0386945
12192823
25001784

prune180.0ms

Filtered
120 candidates to 76 candidates (63.3%)
Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes25.0ms

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

sample192.0ms

Algorithm
intervals
Results
108.0ms8000×body80valid