Details

Time bar (total: 4.2s)

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))

rewrite7.0ms

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))

series24.0ms

Counts
1 → 3
Calls
1 calls:
24.0ms
(- x (/ 1.0 3.0))

simplify107.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
08177
117872
242872
3120472
4429172
5500172

prune31.0ms

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 3 expressions with local error:

0.0b
(+ x (/ 1.0 3.0))
0.0b
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
17.1b
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)))

rewrite28.0ms

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)))
18.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)))

series148.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(+ x (/ 1.0 3.0))
46.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
85.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)))

simplify38.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0277693
11280635
25002624

prune131.0ms

Filtered
75 candidates to 56 candidates (74.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ 1.0 3.0))
0.0b
(- (/ (* x x) (+ x (/ 1.0 3.0))) (/ (* (/ 1.0 3.0) (/ 1.0 3.0)) (+ x (/ 1.0 3.0))))
0.2b
(/ (* (/ 1.0 3.0) (/ 1.0 3.0)) (+ x (/ 1.0 3.0)))
17.2b
(/ (* x x) (+ x (/ 1.0 3.0)))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log add-cbrt-cube
20×*-un-lft-identity
16×add-sqr-sqrt
12×times-frac
11×cbrt-undiv div-exp
8×add-cube-cbrt associate-/r* associate-/r/ add-log-exp
5×flip3-+ prod-exp cbrt-unprod flip-+ distribute-lft-out
4×pow1 div-inv difference-of-squares
3×distribute-rgt-out-- associate-/l/
2×frac-2neg clear-num associate-/l*
1×+-commutative frac-times sub-neg flip3-- diff-log associate-*r/ associate-*l/ sum-log frac-sub flip-- distribute-lft-out-- sub-div
Counts
4 → 93
Calls
4 calls:
6.0ms
(+ x (/ 1.0 3.0))
78.0ms
(- (/ (* x x) (+ x (/ 1.0 3.0))) (/ (* (/ 1.0 3.0) (/ 1.0 3.0)) (+ x (/ 1.0 3.0))))
20.0ms
(/ (* (/ 1.0 3.0) (/ 1.0 3.0)) (+ x (/ 1.0 3.0)))
13.0ms
(/ (* x x) (+ x (/ 1.0 3.0)))

series332.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(+ x (/ 1.0 3.0))
250.0ms
(- (/ (* x x) (+ x (/ 1.0 3.0))) (/ (* (/ 1.0 3.0) (/ 1.0 3.0)) (+ x (/ 1.0 3.0))))
33.0ms
(/ (* (/ 1.0 3.0) (/ 1.0 3.0)) (+ x (/ 1.0 3.0)))
32.0ms
(/ (* x x) (+ x (/ 1.0 3.0)))

simplify53.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0515914
12491820
25001820

prune187.0ms

Filtered
105 candidates to 76 candidates (72.4%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (/ 1.0 3.0) (sqrt (+ x (/ 1.0 3.0))))
0.2b
(* (+ (/ x (sqrt (+ x (/ 1.0 3.0)))) (/ (/ 1.0 3.0) (sqrt (+ x (/ 1.0 3.0))))) (- (/ x (sqrt (+ x (/ 1.0 3.0)))) (/ (/ 1.0 3.0) (sqrt (+ x (/ 1.0 3.0))))))
0.3b
(/ x (sqrt (+ x (/ 1.0 3.0))))
0.3b
(/ x (sqrt (+ x (/ 1.0 3.0))))

rewrite1.2s

Algorithm
rewrite-expression-head
Rules
277×times-frac
242×*-un-lft-identity
198×add-sqr-sqrt
130×add-cube-cbrt
127×sqrt-prod
42×distribute-lft-out
33×associate-*r*
21×associate-/r*
19×associate-/l*
18×associate-*l*
15×add-exp-log add-cbrt-cube div-inv difference-of-squares
14×sqrt-div associate-/r/
12×frac-times flip3-+ flip-+ distribute-lft-out--
6×pow1
5×cbrt-undiv div-exp frac-add
4×flip3-- associate-*r/ frac-sub flip-- sub-div add-log-exp
3×distribute-rgt-out distribute-rgt-out-- frac-2neg associate-*l/ clear-num
2×distribute-rgt-in sub-neg distribute-lft-in
1×pow-prod-down prod-exp *-commutative cbrt-unprod associate-/l/ unswap-sqr
Counts
4 → 304
Calls
4 calls:
18.0ms
(/ (/ 1.0 3.0) (sqrt (+ x (/ 1.0 3.0))))
1.2s
(* (+ (/ x (sqrt (+ x (/ 1.0 3.0)))) (/ (/ 1.0 3.0) (sqrt (+ x (/ 1.0 3.0))))) (- (/ x (sqrt (+ x (/ 1.0 3.0)))) (/ (/ 1.0 3.0) (sqrt (+ x (/ 1.0 3.0))))))
13.0ms
(/ x (sqrt (+ x (/ 1.0 3.0))))
13.0ms
(/ x (sqrt (+ x (/ 1.0 3.0))))

series741.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(/ (/ 1.0 3.0) (sqrt (+ x (/ 1.0 3.0))))
416.0ms
(* (+ (/ x (sqrt (+ x (/ 1.0 3.0)))) (/ (/ 1.0 3.0) (sqrt (+ x (/ 1.0 3.0))))) (- (/ x (sqrt (+ x (/ 1.0 3.0)))) (/ (/ 1.0 3.0) (sqrt (+ x (/ 1.0 3.0))))))
128.0ms
(/ x (sqrt (+ x (/ 1.0 3.0))))
121.0ms
(/ x (sqrt (+ x (/ 1.0 3.0))))

simplify131.0ms

Algorithm
egg-herbie
Counts
316 → 316
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
010054680
145684351
250024291

prune640.0ms

Filtered
316 candidates to 193 candidates (61.1%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes28.0ms

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

sample179.0ms

Algorithm
intervals
Results
100.0ms8000×body80valid