Details

Time bar (total: 1.5s)

sample9.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
072
1102
2102

prune2.0ms

Filtered
1 candidates to 0 candidates (100.0%)
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))

series2.0ms

Counts
1 → 3
Calls
1 calls:
2.0ms
(- x (/ 1.0 3.0))

simplify105.0ms

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 (27.8%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New17118
Fresh000
Picked011
Done000
Total17219

Merged error: 0.0b

Counts
19 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
0.0b
(+ x (/ 1.0 3.0))
13.9b
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)))

rewrite21.0ms

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:
4.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
5.0ms
(+ x (/ 1.0 3.0))
10.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)))

series12.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
2.0ms
(+ x (/ 1.0 3.0))
6.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)))

simplify42.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0277693
11280635
25001624

prune106.0ms

Filtered
75 candidates to 56 candidates (25.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New73275
Fresh000
Picked101
Done011
Total74377

Merged error: 0b

Counts
77 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (+ x (/ 1.0 3.0)))
0.0b
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
0.0b
(+ x (/ 1.0 3.0))
13.9b
(* (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (/ 1 (+ x (/ 1.0 3.0))))

rewrite33.0ms

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:
7.0ms
(/ 1 (+ x (/ 1.0 3.0)))
3.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
5.0ms
(+ x (/ 1.0 3.0))
14.0ms
(* (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (/ 1 (+ x (/ 1.0 3.0))))

series14.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(/ 1 (+ x (/ 1.0 3.0)))
4.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
2.0ms
(+ x (/ 1.0 3.0))
6.0ms
(* (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (/ 1 (+ x (/ 1.0 3.0))))

simplify83.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
0386943
12192821
25001782

prune138.0ms

Filtered
120 candidates to 75 candidates (37.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1200120
Fresh011
Picked011
Done011
Total1203123

Merged error: 0b

Counts
123 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ 1.0 3.0))
0.6b
(/ 1 (sqrt (+ x (/ 1.0 3.0))))
2.8b
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))
4.4b
(* (/ 1 (sqrt (+ x (/ 1.0 3.0)))) (/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
120×times-frac
114×add-sqr-sqrt
108×*-un-lft-identity
75×sqrt-prod
68×add-cube-cbrt
34×associate-*r*
32×add-exp-log
27×associate-*l*
20×add-cbrt-cube
17×distribute-lft-out
15×difference-of-squares unswap-sqr
14×associate-/r*
11×div-exp
8×pow1 sqrt-div prod-exp associate-/r/
7×associate-/l*
6×cbrt-undiv add-log-exp
5×flip3-+ flip-+
4×cbrt-unprod div-inv
3×rec-exp pow-flip 1-exp
2×frac-2neg clear-num associate-/l/
1×+-commutative frac-times flip3-- sqrt-pow1 pow1/2 div-sub associate-*r/ pow-prod-down associate-*l/ sum-log *-commutative flip-- inv-pow
Counts
4 → 219
Calls
4 calls:
6.0ms
(+ x (/ 1.0 3.0))
8.0ms
(/ 1 (sqrt (+ x (/ 1.0 3.0))))
11.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))
36.0ms
(* (/ 1 (sqrt (+ x (/ 1.0 3.0)))) (/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))))

series20.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(+ x (/ 1.0 3.0))
4.0ms
(/ 1 (sqrt (+ x (/ 1.0 3.0))))
7.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))
7.0ms
(* (/ 1 (sqrt (+ x (/ 1.0 3.0)))) (/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))))

simplify115.0ms

Algorithm
egg-herbie
Counts
231 → 231
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
08443247
143212890
250022747

prune390.0ms

Filtered
231 candidates to 129 candidates (44.2%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2310231
Fresh000
Picked011
Done022
Total2313234

Merged error: 0b

Counts
234 → 3

regimes53.0ms

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

sample235.0ms

Algorithm
intervals
Results
122.0ms8000×body80valid

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