Details

Time bar (total: 1.5s)

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

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))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
39×prod-diff
38×*-un-lft-identity
36×add-cube-cbrt
28×times-frac
3×fma-neg div-inv add-log-exp
2×difference-of-squares
1×pow1 add-exp-log expm1-log1p-u sub-neg flip3-- diff-log add-cbrt-cube flip-- log1p-expm1-u distribute-lft-out--
Counts
1 → 59
Calls
1 calls:
8.0ms
(- x (/ 1.0 3.0))

series22.0ms

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

simplify153.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 3 (145.0ms)

IterNodesCost
0365968
11117631
24922511
35001505

prune58.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

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))
13.7b
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity
16×times-frac
14×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 expm1-log1p-u fma-def log1p-expm1-u
2×flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
1×cbrt-undiv +-commutative sub-neg frac-2neg fma-neg diff-log div-sub div-exp prod-diff clear-num sum-log div-inv
Counts
3 → 77
Calls
3 calls:
3.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
6.0ms
(+ x (/ 1.0 3.0))
19.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)))

series149.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
17.0ms
(+ x (/ 1.0 3.0))
86.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)))

simplify43.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0295744
11314683
25001670

prune161.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0))))
0.0b
(+ x (/ 1.0 3.0))
0.3b
(log (exp (/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)))))
13.7b
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
62×*-un-lft-identity
48×times-frac
44×exp-prod
34×add-sqr-sqrt add-cube-cbrt
23×log-pow
14×distribute-lft-out
13×difference-of-squares
7×add-log-exp
6×add-exp-log associate-/r/ add-cbrt-cube
5×pow1
4×expm1-log1p-u flip3-+ associate-/r* flip-+ log1p-expm1-u associate-/l*
3×log-prod fma-def div-sub div-inv
2×exp-diff associate-/l/
1×cbrt-undiv +-commutative log-div flip3-- frac-2neg div-exp rem-log-exp clear-num sum-log flip-- rem-exp-log
Counts
4 → 130
Calls
4 calls:
32.0ms
(exp (/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0))))
6.0ms
(+ x (/ 1.0 3.0))
32.0ms
(log (exp (/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)))))
21.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)))

series218.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(exp (/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0))))
16.0ms
(+ x (/ 1.0 3.0))
86.0ms
(log (exp (/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)))))
85.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)))

simplify52.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
03611312
113591220
250031208

prune307.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes25.0ms

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

sample187.0ms

Algorithm
intervals
Results
105.0ms8000×body80valid