Details

Time bar (total: 2.9s)

sample15.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
062
162

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (/ 1.0 3.0))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
4×*-un-lft-identity
3×fma-def add-log-exp
2×add-sqr-sqrt add-cube-cbrt
1×pow1 add-exp-log +-commutative expm1-log1p-u flip3-+ sum-log add-cbrt-cube flip-+ log1p-expm1-u distribute-lft-out
Counts
1 → 17
Calls
1 calls:
12.0ms
(+ x (/ 1.0 3.0))

series28.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(+ x (/ 1.0 3.0))

simplify69.0ms

Algorithm
egg-herbie
Counts
20 → 20
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
08261
121855
253255
3151455
4500155

prune53.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

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))
16.0b
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
80×add-sqr-sqrt
62×*-un-lft-identity
57×times-frac
50×add-cube-cbrt
40×prod-diff
20×difference-of-squares
7×add-log-exp
6×associate-/r* distribute-lft-out--
5×add-exp-log add-cbrt-cube
4×flip3-- fma-neg flip-- div-inv associate-/l*
3×pow1 expm1-log1p-u log1p-expm1-u
2×sub-neg diff-log associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-sub div-exp clear-num
Counts
3 → 129
Calls
3 calls:
5.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
15.0ms
(- x (/ 1.0 3.0))
38.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)))

series186.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
23.0ms
(- x (/ 1.0 3.0))
117.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)))

simplify86.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
06171824
126261405
250011298

prune215.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (/ 1.0 3.0))
1.0b
(pow (/ 1.0 3.0) 3)
16.0b
(* (/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- (pow x 3) (pow (/ 1.0 3.0) 3))) (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))
21.6b
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- (pow x 3) (pow (/ 1.0 3.0) 3)))

rewrite532.0ms

Algorithm
rewrite-expression-head
Rules
529×add-sqr-sqrt
365×times-frac
283×difference-of-squares
195×*-un-lft-identity
175×unpow-prod-down cube-prod
141×associate-*l*
105×add-cube-cbrt
91×sqr-pow
45×distribute-lft-out--
33×associate-/r*
19×add-exp-log add-cbrt-cube
16×associate-*r*
9×pow1 difference-cubes
5×div-inv
4×cbrt-undiv expm1-log1p-u div-exp prod-exp associate-/r/ cbrt-unprod log1p-expm1-u associate-/l* add-log-exp unswap-sqr
3×pow-unpow flip3-- associate-*r/ flip--
2×frac-times flip3-+ pow-prod-down pow-exp *-commutative flip-+ associate-/l/ rem-cube-cbrt
1×cube-div distribute-rgt-in cube-mult pow-to-exp pow-pow frac-2neg distribute-lft-in unpow3 div-sub associate-*l/ clear-num
Counts
4 → 435
Calls
4 calls:
8.0ms
(* x (/ 1.0 3.0))
4.0ms
(pow (/ 1.0 3.0) 3)
414.0ms
(* (/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- (pow x 3) (pow (/ 1.0 3.0) 3))) (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))
69.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- (pow x 3) (pow (/ 1.0 3.0) 3)))

series312.0ms

Counts
4 → 10
Calls
4 calls:
16.0ms
(* x (/ 1.0 3.0))
0.0ms
(pow (/ 1.0 3.0) 3)
230.0ms
(* (/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- (pow x 3) (pow (/ 1.0 3.0) 3))) (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))
65.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- (pow x 3) (pow (/ 1.0 3.0) 3)))

simplify103.0ms

Algorithm
egg-herbie
Counts
445 → 445
Iterations

Useful iterations: 1 (40.0ms)

IterNodesCost
017807194
150027005

prune965.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes20.0ms

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
062
162

end0.0ms

sample193.0ms

Algorithm
intervals
Results
107.0ms8000×body80valid