Details

Time bar (total: 1.7s)

sample8.0ms

Algorithm
intervals
Results
3.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
062
162

prune1.0ms

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))

rewrite6.0ms

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:
6.0ms
(+ x (/ 1.0 3.0))

series17.0ms

Counts
1 → 3
Calls
1 calls:
17.0ms
(+ x (/ 1.0 3.0))

simplify44.0ms

Algorithm
egg-herbie
Counts
20 → 20
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
08261
121855
253255
3151455
4500155

prune36.0ms

Pruning

2 alts after pruning (1 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)))
14.0b
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)))

rewrite33.0ms

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:
7.0ms
(- 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)))

series162.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(- x (/ 1.0 3.0))
41.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
99.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)))

simplify92.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
06171824
126261405
250011298

prune237.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ 1.0 3.0))
0.0b
(/ 1 (- x (/ 1.0 3.0)))
0.0b
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
14.1b
(* (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (/ 1 (- x (/ 1.0 3.0))))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
108×add-sqr-sqrt
78×*-un-lft-identity
73×times-frac
61×add-cube-cbrt
40×prod-diff
24×associate-*r*
18×difference-of-squares
17×add-exp-log
11×add-cbrt-cube
8×distribute-lft-out-- add-log-exp
7×pow1
6×flip3-- associate-/r* flip--
5×div-inv
4×expm1-log1p-u fma-neg div-exp associate-*l* prod-exp associate-/r/ log1p-expm1-u
3×associate-/l* unswap-sqr
2×cbrt-undiv frac-times sub-neg rec-exp diff-log 1-exp associate-*l/ cbrt-unprod
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
4 → 177
Calls
4 calls:
7.0ms
(- x (/ 1.0 3.0))
15.0ms
(/ 1 (- x (/ 1.0 3.0)))
3.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
36.0ms
(* (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (/ 1 (- x (/ 1.0 3.0))))

series193.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(- x (/ 1.0 3.0))
27.0ms
(/ 1 (- x (/ 1.0 3.0)))
46.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
98.0ms
(* (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (/ 1 (- x (/ 1.0 3.0))))

simplify197.0ms

Algorithm
egg-herbie
Counts
189 → 189
Iterations

Useful iterations: 2 (178.0ms)

IterNodesCost
07152070
139361593
250011551

prune341.0ms

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

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062
162

end0.0ms

sample189.0ms

Algorithm
intervals
Results
105.0ms8000×body80valid