Details

Time bar (total: 3.3s)

sample9.0ms

Algorithm
intervals
Results
4.0ms256×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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

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))

simplify102.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
08177
117872
242872
3120472
4429172
5500172

prune23.0ms

Filtered
18 candidates to 13 candidates (72.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New16218
Fresh000
Picked011
Done000
Total16319

Merged error: 0.0b

Counts
19 → 3

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))))

rewrite41.0ms

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)))
17.0ms
(* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0))))

series412.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(cbrt (- x (/ 1.0 3.0)))
99.0ms
(cbrt (- x (/ 1.0 3.0)))
96.0ms
(cbrt (- x (/ 1.0 3.0)))
120.0ms
(* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0))))

simplify47.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
03971138
113181083
250011000

prune238.0ms

Filtered
119 candidates to 87 candidates (73.1%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1172119
Fresh011
Picked011
Done011
Total1175122

Merged error: 0b

Counts
122 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt (cbrt (- x (/ 1.0 3.0))))
0.7b
(cbrt (cbrt (- x (/ 1.0 3.0))))
0.7b
(cbrt (cbrt (- x (/ 1.0 3.0))))
0.9b
(pow (cbrt (cbrt (- x (/ 1.0 3.0)))) 4)

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-prod
34×add-sqr-sqrt
22×*-un-lft-identity
14×add-cube-cbrt
12×unpow-prod-down cbrt-div
8×difference-of-squares
5×pow1 add-exp-log
4×times-frac pow1/3 add-cbrt-cube distribute-lft-out-- add-log-exp
3×pow-unpow flip3-- flip--
2×pow-pow
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 84
Calls
4 calls:
11.0ms
(cbrt (cbrt (- x (/ 1.0 3.0))))
11.0ms
(cbrt (cbrt (- x (/ 1.0 3.0))))
11.0ms
(cbrt (cbrt (- x (/ 1.0 3.0))))
15.0ms
(pow (cbrt (cbrt (- x (/ 1.0 3.0)))) 4)

series619.0ms

Counts
4 → 12
Calls
4 calls:
120.0ms
(cbrt (cbrt (- x (/ 1.0 3.0))))
115.0ms
(cbrt (cbrt (- x (/ 1.0 3.0))))
115.0ms
(cbrt (cbrt (- x (/ 1.0 3.0))))
268.0ms
(pow (cbrt (cbrt (- x (/ 1.0 3.0)))) 4)

simplify46.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0429943
11371893
25001843

prune277.0ms

Filtered
96 candidates to 75 candidates (78.1%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New96096
Fresh022
Picked011
Done022
Total965101

Merged error: 0b

Counts
101 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.8b
(* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))
6.2b
(/ (* (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))))
14.0b
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))
14.0b
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
40×cbrt-div
32×cbrt-prod
28×*-un-lft-identity
22×add-sqr-sqrt
18×add-exp-log
14×add-cube-cbrt
12×frac-times flip3-+ flip-+
11×pow1
9×swap-sqr
8×flip3-- pow1/3 associate-/r/ add-cbrt-cube flip-- associate-/l/
7×associate-*r* associate-*l*
6×associate-*r/ associate-*l/ distribute-lft-out
5×prod-exp cbrt-unprod
4×cbrt-undiv div-exp add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up difference-of-squares
1×pow2 frac-2neg times-frac pow-plus clear-num associate-/r* *-commutative div-inv associate-/l*
Counts
4 → 118
Calls
4 calls:
15.0ms
(* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))
28.0ms
(/ (* (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))))
3.0ms
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))
4.0ms
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))

series651.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))
162.0ms
(/ (* (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))))
194.0ms
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))
190.0ms
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))

simplify75.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
05651931
123411659
250011586

prune340.0ms

Filtered
130 candidates to 93 candidates (71.5%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1300130
Fresh011
Picked011
Done033
Total1305135

Merged error: 0b

Counts
135 → 5

regimes36.0ms

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

sample206.0ms

Algorithm
intervals
Results
125.0ms8000×body80valid

Profiling

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