Details

Time bar (total: 4.0s)

sample12.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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))

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))

simplify104.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
08177
117872
242872
3120472
4429172
5500172

prune29.0ms

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))))

rewrite67.0ms

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:
5.0ms
(cbrt (- x (/ 1.0 3.0)))
7.0ms
(cbrt (- x (/ 1.0 3.0)))
5.0ms
(cbrt (- x (/ 1.0 3.0)))
45.0ms
(* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0))))

series418.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(cbrt (- x (/ 1.0 3.0)))
103.0ms
(cbrt (- x (/ 1.0 3.0)))
94.0ms
(cbrt (- x (/ 1.0 3.0)))
118.0ms
(* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0))))

simplify49.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
03971138
113181083
250011000

prune260.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.8b
(cbrt (cbrt (- x (/ 1.0 3.0))))
0.8b
(cbrt (cbrt (- x (/ 1.0 3.0))))
0.8b
(cbrt (cbrt (- x (/ 1.0 3.0))))
0.8b
(* (cbrt (cbrt (- x (/ 1.0 3.0)))) (cbrt (cbrt (- x (/ 1.0 3.0)))))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
131×cbrt-prod
75×add-sqr-sqrt
42×*-un-lft-identity
36×cbrt-div
22×add-cube-cbrt
14×swap-sqr difference-of-squares
12×associate-*r* associate-*l*
11×pow1
9×flip3-- pow1/3 flip-- distribute-lft-out-- unswap-sqr
7×times-frac
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 130
Calls
4 calls:
6.0ms
(cbrt (cbrt (- x (/ 1.0 3.0))))
8.0ms
(cbrt (cbrt (- x (/ 1.0 3.0))))
6.0ms
(cbrt (cbrt (- x (/ 1.0 3.0))))
50.0ms
(* (cbrt (cbrt (- x (/ 1.0 3.0)))) (cbrt (cbrt (- x (/ 1.0 3.0)))))

series497.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(cbrt (cbrt (- x (/ 1.0 3.0))))
125.0ms
(cbrt (cbrt (- x (/ 1.0 3.0))))
110.0ms
(cbrt (cbrt (- x (/ 1.0 3.0))))
144.0ms
(* (cbrt (cbrt (- x (/ 1.0 3.0)))) (cbrt (cbrt (- x (/ 1.0 3.0)))))

simplify50.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
04351696
113921624
250021490

prune385.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ x (/ 1.0 3.0)))
0.8b
(/ (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (cbrt (+ x (/ 1.0 3.0))))
0.8b
(* (/ (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (cbrt (+ x (/ 1.0 3.0)))) (cbrt (- x (/ 1.0 3.0))))
14.9b
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
147×cbrt-prod
107×times-frac
103×*-un-lft-identity
102×add-sqr-sqrt
69×add-cube-cbrt
55×associate-*l*
18×difference-of-squares
16×distribute-lft-out
14×cbrt-div
11×add-exp-log
10×unswap-sqr
9×associate-*r*
7×associate-/r* associate-/l*
6×pow1
5×add-cbrt-cube
4×flip3-- associate-/r/ flip-- add-log-exp
3×flip3-+ flip-+
2×cbrt-undiv frac-times pow1/3 associate-*r/ div-exp prod-exp cbrt-unprod div-inv associate-/l/
1×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative distribute-lft-out--
Counts
4 → 199
Calls
4 calls:
5.0ms
(cbrt (+ x (/ 1.0 3.0)))
20.0ms
(/ (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (cbrt (+ x (/ 1.0 3.0))))
74.0ms
(* (/ (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (cbrt (+ x (/ 1.0 3.0)))) (cbrt (- x (/ 1.0 3.0))))
2.0ms
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))

series762.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(cbrt (+ x (/ 1.0 3.0)))
131.0ms
(/ (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (cbrt (+ x (/ 1.0 3.0))))
351.0ms
(* (/ (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (cbrt (+ x (/ 1.0 3.0)))) (cbrt (- x (/ 1.0 3.0))))
193.0ms
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))

simplify90.0ms

Algorithm
egg-herbie
Counts
211 → 211
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
08153482
129693399
250023376

prune686.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 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
052

end0.0ms

sample316.0ms

Algorithm
intervals
Results
227.0ms8000×body80valid