Details

Time bar (total: 6.3s)

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

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))

series22.0ms

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

simplify106.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
08177
117872
242872
3120472
4429172
5500172

prune30.0ms

Filtered
18 candidates to 13 candidates (72.2%)
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 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)))
0.7b
(* (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:
8.0ms
(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))))

series430.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(cbrt (- x (/ 1.0 3.0)))
101.0ms
(cbrt (- x (/ 1.0 3.0)))
95.0ms
(cbrt (- x (/ 1.0 3.0)))
137.0ms
(* (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

prune265.0ms

Filtered
119 candidates to 87 candidates (73.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1172119
Fresh000
Picked101
Done011
Total1183121

Merged error: 0.0b

Counts
121 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- x (/ 1.0 3.0)))
0.2b
(cbrt (- x (/ 1.0 3.0)))
0.3b
(cbrt (+ x (/ 1.0 3.0)))
15.4b
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod
18×add-sqr-sqrt
14×*-un-lft-identity
8×add-cube-cbrt cbrt-div
5×difference-of-squares
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×flip3-- flip--
2×times-frac distribute-lft-out--
1×flip3-+ flip-+ distribute-lft-out
Counts
4 → 60
Calls
4 calls:
6.0ms
(cbrt (- x (/ 1.0 3.0)))
6.0ms
(cbrt (- x (/ 1.0 3.0)))
5.0ms
(cbrt (+ x (/ 1.0 3.0)))
4.0ms
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))

series495.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(cbrt (- x (/ 1.0 3.0)))
109.0ms
(cbrt (- x (/ 1.0 3.0)))
95.0ms
(cbrt (+ x (/ 1.0 3.0)))
188.0ms
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))

simplify46.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0467672
11506634
25002615

prune265.0ms

Filtered
72 candidates to 65 candidates (90.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New72072
Fresh011
Picked011
Done011
Total72375

Merged error: 0.0b

Counts
75 → 3

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- x (/ 1.0 3.0)))
0.3b
(* (* (cbrt (- x (/ 1.0 3.0))) (cbrt (+ (sqrt x) (/ (sqrt 1.0) (sqrt 3.0))))) (cbrt (- (sqrt x) (/ (sqrt 1.0) (sqrt 3.0)))))
1.0b
(/ (sqrt 1.0) (sqrt 3.0))
1.0b
(/ (sqrt 1.0) (sqrt 3.0))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
97×sqrt-prod
96×add-sqr-sqrt
81×times-frac
67×*-un-lft-identity
63×add-cube-cbrt
56×cbrt-div
28×frac-times
20×cbrt-prod
19×flip3-- flip--
17×associate-*r*
14×associate-*l/
13×add-exp-log
12×associate-/r* associate-/l* difference-of-squares
9×pow1 flip3-+ add-cbrt-cube flip-+
8×associate-*r/
5×pow-prod-down
4×pow1/3 add-log-exp
3×prod-exp cbrt-unprod
2×cbrt-undiv sqrt-undiv frac-2neg div-exp clear-num div-inv distribute-lft-out--
1×associate-*l* *-commutative
Counts
4 → 197
Calls
4 calls:
6.0ms
(cbrt (- x (/ 1.0 3.0)))
44.0ms
(* (* (cbrt (- x (/ 1.0 3.0))) (cbrt (+ (sqrt x) (/ (sqrt 1.0) (sqrt 3.0))))) (cbrt (- (sqrt x) (/ (sqrt 1.0) (sqrt 3.0)))))
5.0ms
(/ (sqrt 1.0) (sqrt 3.0))
5.0ms
(/ (sqrt 1.0) (sqrt 3.0))

series3.2s

Counts
4 → 8
Calls
4 calls:
137.0ms
(cbrt (- x (/ 1.0 3.0)))
3.1s
(* (* (cbrt (- x (/ 1.0 3.0))) (cbrt (+ (sqrt x) (/ (sqrt 1.0) (sqrt 3.0))))) (cbrt (- (sqrt x) (/ (sqrt 1.0) (sqrt 3.0)))))
0.0ms
(/ (sqrt 1.0) (sqrt 3.0))
0.0ms
(/ (sqrt 1.0) (sqrt 3.0))

simplify82.0ms

Algorithm
egg-herbie
Counts
205 → 205
Iterations

Useful iterations: 1 (41.0ms)

IterNodesCost
012593717
150013590

prune816.0ms

Filtered
205 candidates to 150 candidates (73.2%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New2041205
Fresh000
Picked011
Done022
Total2044208

Merged error: 0b

Counts
208 → 4

regimes42.0ms

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

sample209.0ms

Algorithm
intervals
Results
118.0ms8000×body80valid