Details

Time bar (total: 28.9s)

sample36.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify18.0ms

Counts
1 → 1
Iterations
IterNodes
done6
16
05

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (/ 1.0 3.0))

rewrite24.0ms

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-+ insert-posit16 distribute-lft-out
Counts
1 → 13
Calls
1 calls:
23.0ms
(+ x (/ 1.0 3.0))

series34.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(+ x (/ 1.0 3.0))

simplify6.0s

Counts
16 → 16
Iterations
IterNodes
done5006
53035
41247
3489
2210
179
029

prune145.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize78.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x (/ 1.0 3.0)))
0.0b
(+ x (/ 1.0 3.0))
0.0b
(+ x (/ 1.0 3.0))
0.1b
(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

rewrite298.0ms

Algorithm
rewrite-expression-head
Rules
33×*-un-lft-identity
30×sqrt-prod
26×add-sqr-sqrt
20×pow1
14×sqrt-div
13×add-cube-cbrt
11×swap-sqr
9×sqrt-pow1 flip3-+ pow1/2 flip-+ distribute-lft-out
8×add-log-exp
7×associate-*r* associate-*l*
6×add-cbrt-cube add-exp-log
5×pow-prod-up
4×frac-times insert-posit16 unswap-sqr
3×pow-prod-down pow-sqr
2×+-commutative sum-log associate-*l/ associate-*r/
1×pow2 rem-sqrt-square rem-square-sqrt pow-plus sqrt-unprod prod-exp *-commutative cbrt-unprod
Counts
4 → 106
Calls
4 calls:
30.0ms
(sqrt (+ x (/ 1.0 3.0)))
33.0ms
(+ x (/ 1.0 3.0))
19.0ms
(+ x (/ 1.0 3.0))
203.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

series139.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(sqrt (+ x (/ 1.0 3.0)))
25.0ms
(+ x (/ 1.0 3.0))
26.0ms
(+ x (/ 1.0 3.0))
41.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

simplify4.0s

Counts
118 → 118
Iterations
IterNodes
done5000
31705
2656
1253
0112

prune758.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize214.0ms

Local error

Found 4 expressions with local error:

0.1b
(cbrt (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))))
0.1b
(cbrt (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))))
0.1b
(cbrt (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))))
0.6b
(* (cbrt (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))) (cbrt (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))))

rewrite404.0ms

Algorithm
rewrite-expression-head
Rules
252×sqrt-div
168×cbrt-div
148×frac-times
126×flip3-+ flip-+
50×associate-*l/ associate-*r/
12×add-sqr-sqrt
11×cbrt-prod pow1
9×pow1/3
8×*-un-lft-identity add-cube-cbrt
6×add-exp-log
4×add-cbrt-cube swap-sqr associate-*r* associate-*l* insert-posit16 add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 169
Calls
4 calls:
94.0ms
(cbrt (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))))
94.0ms
(cbrt (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))))
52.0ms
(cbrt (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))))
124.0ms
(* (cbrt (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))) (cbrt (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))))

series707.0ms

Counts
4 → 12
Calls
4 calls:
148.0ms
(cbrt (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))))
171.0ms
(cbrt (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))))
174.0ms
(cbrt (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))))
213.0ms
(* (cbrt (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))) (cbrt (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))))

simplify5.5s

Counts
181 → 181
Iterations
IterNodes
done5001
32416
21088
1506
0280

prune1.8s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize257.0ms

Local error

Found 4 expressions with local error:

0.4b
(* x (/ 1.0 3.0))
4.2b
(sqrt (+ (* (* x x) x) (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)))))
6.6b
(/ (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ (* (* x x) x) (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)))))) (sqrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))))
13.7b
(sqrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))

rewrite770.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
18×*-un-lft-identity sqrt-div add-cube-cbrt
16×times-frac
14×add-cbrt-cube add-exp-log
13×associate-*r* sqrt-prod
9×flip3-+ flip-+
8×pow1 associate-/l/
6×associate-/r*
4×frac-times insert-posit16 add-log-exp
3×cbrt-undiv div-exp associate-*l* prod-exp associate-*r/ cbrt-unprod
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ associate-/r/ div-inv unswap-sqr
1×sqrt-undiv clear-num frac-2neg sqrt-unprod cube-unmult pow3 pow-prod-down sum-cubes *-commutative associate-/l*
Counts
4 → 105
Calls
4 calls:
42.0ms
(* x (/ 1.0 3.0))
227.0ms
(sqrt (+ (* (* x x) x) (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)))))
362.0ms
(/ (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ (* (* x x) x) (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)))))) (sqrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))))
131.0ms
(sqrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))

series623.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* x (/ 1.0 3.0))
94.0ms
(sqrt (+ (* (* x x) x) (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)))))
399.0ms
(/ (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ (* (* x x) x) (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)))))) (sqrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))))
89.0ms
(sqrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))

simplify4.8s

Counts
117 → 117
Iterations
IterNodes
done5000
22229
1649
0244

prune1.5s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes165.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done6
16
05

end0.0ms

sample587.0ms

Algorithm
intervals
Results
415.0ms8000×body80valid