Details

Time bar (total: 8.8s)

sample14.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify2.0ms

Counts
1 → 1
Iterations
IterNodes
done6
16
05

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (/ 1.0 3.0))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
3×*-un-lft-identity add-log-exp
1×add-sqr-sqrt pow1 +-commutative sum-log flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+ distribute-lft-out
Counts
1 → 12
Calls
1 calls:
11.0ms
(+ x (/ 1.0 3.0))

series26.0ms

Counts
1 → 3
Calls
1 calls:
26.0ms
(+ x (/ 1.0 3.0))

simplify1.5s

Counts
15 → 15
Iterations
IterNodes
done5000
41593
3563
2209
178
028

prune56.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))
0.1b
(* (* x x) x)
0.4b
(* x (/ 1.0 3.0))
22.3b
(/ (+ (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0))) (* (* x x) x)) (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))

rewrite225.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
25×pow1
22×*-un-lft-identity times-frac add-cube-cbrt
16×add-cbrt-cube associate-*r* add-exp-log
8×associate-*r/
6×pow-plus pow-prod-up add-log-exp
5×pow3 prod-exp cbrt-unprod
4×cube-unmult associate-*l* pow-prod-down sum-cubes associate-/l*
3×associate-/r* frac-sub unswap-sqr
2×pow2 cbrt-undiv flip3-+ div-exp associate-*l/ associate-/r/ pow-sqr *-commutative flip-+ div-inv sub-div associate-/l/
1×frac-times clear-num sub-neg frac-2neg flip3-- distribute-rgt-out-- diff-log flip--
Counts
4 → 113
Calls
4 calls:
18.0ms
(- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))
22.0ms
(* (* x x) x)
10.0ms
(* x (/ 1.0 3.0))
169.0ms
(/ (+ (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0))) (* (* x x) x)) (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))

series340.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))
38.0ms
(* (* x x) x)
23.0ms
(* x (/ 1.0 3.0))
231.0ms
(/ (+ (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0))) (* (* x x) x)) (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))

simplify2.2s

Counts
125 → 125
Iterations
IterNodes
done5000
23270
1569
0207

prune506.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize65.0ms

Local error

Found 4 expressions with local error:

4.5b
(* (/ (sqrt (+ (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0))) (* (* x x) x))) 1) (/ (sqrt (+ (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0))) (* (* x x) x))) (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))))
6.1b
(sqrt (+ (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0))) (* (* x x) x)))
6.1b
(sqrt (+ (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0))) (* (* x x) x)))
7.8b
(/ (sqrt (+ (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0))) (* (* x x) x))) (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))

rewrite751.0ms

Algorithm
rewrite-expression-head
Rules
98×add-sqr-sqrt
85×times-frac
59×sqrt-prod
56×*-un-lft-identity
50×add-cube-cbrt
27×associate-*r*
25×associate-*l*
23×add-exp-log
18×add-cbrt-cube
15×unswap-sqr
12×cube-unmult pow3 sum-cubes
8×pow1 div-exp
7×associate-/l*
6×sqrt-div prod-exp
5×cbrt-undiv flip3-+ flip-+
4×associate-/r/ cbrt-unprod add-log-exp
3×associate-/r* div-inv
2×rem-sqrt-square sqrt-pow1 pow1/2 1-exp associate-/l/
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 168
Calls
4 calls:
396.0ms
(* (/ (sqrt (+ (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0))) (* (* x x) x))) 1) (/ (sqrt (+ (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0))) (* (* x x) x))) (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))))
72.0ms
(sqrt (+ (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0))) (* (* x x) x)))
64.0ms
(sqrt (+ (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0))) (* (* x x) x)))
212.0ms
(/ (sqrt (+ (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0))) (* (* x x) x))) (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))

series513.0ms

Counts
4 → 12
Calls
4 calls:
234.0ms
(* (/ (sqrt (+ (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0))) (* (* x x) x))) 1) (/ (sqrt (+ (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0))) (* (* x x) x))) (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))))
73.0ms
(sqrt (+ (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0))) (* (* x x) x)))
53.0ms
(sqrt (+ (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0))) (* (* x x) x)))
153.0ms
(/ (sqrt (+ (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0))) (* (* x x) x))) (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))

simplify1.2s

Counts
180 → 180
Iterations
IterNodes
done5000
1796
0259

prune961.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes52.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done6
16
05

end0.0ms

sample350.0ms

Algorithm
intervals
Results
184.0ms8000×body80valid