Details

Time bar (total: 3.6s)

sample9.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (/ 1.0 3.0))

rewrite10.0ms

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:
10.0ms
(- x (/ 1.0 3.0))

series23.0ms

Counts
1 → 3
Calls
1 calls:
23.0ms
(- x (/ 1.0 3.0))

simplify109.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
08177
117872
242872
3120472
4429172
5500172

prune34.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 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)))
0.7b
(* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0))))

rewrite108.0ms

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:
9.0ms
(cbrt (- x (/ 1.0 3.0)))
9.0ms
(cbrt (- x (/ 1.0 3.0)))
8.0ms
(cbrt (- x (/ 1.0 3.0)))
77.0ms
(* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0))))

series616.0ms

Counts
4 → 12
Calls
4 calls:
295.0ms
(cbrt (- x (/ 1.0 3.0)))
97.0ms
(cbrt (- x (/ 1.0 3.0)))
99.0ms
(cbrt (- x (/ 1.0 3.0)))
124.0ms
(* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0))))

simplify58.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
03971138
113181083
250011000

prune259.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 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)))
12.2b
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)))

rewrite57.0ms

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:
10.0ms
(+ x (/ 1.0 3.0))
8.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
37.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)))

series148.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(+ x (/ 1.0 3.0))
43.0ms
(- (* 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)))

simplify42.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0277693
11280635
25002624

prune128.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

10.1b
(/ (* (cbrt (- (pow x 3) (pow (/ 1.0 3.0) 3))) (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (* (cbrt (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))) (cbrt (+ x (/ 1.0 3.0)))))
12.6b
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))
12.6b
(cbrt (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))
17.3b
(cbrt (- (pow x 3) (pow (/ 1.0 3.0) 3)))

rewrite179.0ms

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt
40×cbrt-prod
30×cbrt-div
25×difference-of-squares
18×unpow-prod-down cube-prod
17×*-un-lft-identity
16×add-exp-log
10×sqr-pow
9×times-frac
8×frac-times flip3-- associate-/r/ add-cbrt-cube flip-- associate-/l/
7×add-cube-cbrt flip3-+ flip-+
5×distribute-lft-out--
4×pow1 cbrt-undiv associate-*r/ div-exp associate-*l/ prod-exp cbrt-unprod add-log-exp
3×pow1/3
1×difference-cubes frac-2neg clear-num associate-/r* div-inv associate-/l*
Counts
4 → 107
Calls
4 calls:
102.0ms
(/ (* (cbrt (- (pow x 3) (pow (/ 1.0 3.0) 3))) (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (* (cbrt (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))) (cbrt (+ x (/ 1.0 3.0)))))
6.0ms
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))
30.0ms
(cbrt (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))
34.0ms
(cbrt (- (pow x 3) (pow (/ 1.0 3.0) 3)))

series876.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(/ (* (cbrt (- (pow x 3) (pow (/ 1.0 3.0) 3))) (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (* (cbrt (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))) (cbrt (+ x (/ 1.0 3.0)))))
188.0ms
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))
108.0ms
(cbrt (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))
381.0ms
(cbrt (- (pow x 3) (pow (/ 1.0 3.0) 3)))

simplify98.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
09202309
134842060
250022045

prune556.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes27.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052

end0.0ms

sample210.0ms

Algorithm
intervals
Results
100.0ms8000×body80valid