Details

Time bar (total: 21.0s)

sample19.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify16.0ms

Counts
1 → 1
Iterations
IterNodes
done10
210
17
05

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (/ 1.0 3.0))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
*-un-lft-identity add-log-exp
difference-of-squares
pow1 sub-neg times-frac flip3-- add-cbrt-cube diff-log add-exp-log add-cube-cbrt insert-posit16 flip-- distribute-lft-out--
Counts
1 → 16
Calls
1 calls:
33.0ms
(- x (/ 1.0 3.0))

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(- x (/ 1.0 3.0))

simplify5.1s

Counts
19 → 19
Iterations
IterNodes
done5001
52978
41079
3412
2182
183
039

prune201.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize106.0ms

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))
17.5b
(/ (- (* x (* x x)) (* (* (/ 1.0 3.0) (/ 1.0 3.0)) (/ 1.0 3.0))) (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))

rewrite467.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
22×*-un-lft-identity times-frac add-cube-cbrt
20×pow1
16×add-cbrt-cube add-exp-log
14×associate-*r*
associate-*l* add-log-exp
cube-unmult prod-exp associate-*r/ pow-prod-up cbrt-unprod
difference-cubes pow3 pow-prod-down insert-posit16 associate-/l*
associate-/r* frac-add unswap-sqr
cbrt-undiv flip3-+ div-exp associate-/r/ *-commutative flip-+ div-inv associate-/l/
pow2 frac-times +-commutative clear-num sum-log frac-2neg pow-plus distribute-rgt-out flip3-- div-sub associate-*l/ pow-sqr flip--
Counts
4 → 111
Calls
4 calls:
26.0ms
(+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))
36.0ms
(* x (* x x))
25.0ms
(* x (/ 1.0 3.0))
373.0ms
(/ (- (* x (* x x)) (* (* (/ 1.0 3.0) (/ 1.0 3.0)) (/ 1.0 3.0))) (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))

series408.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))
51.0ms
(* x (* x x))
33.0ms
(* x (/ 1.0 3.0))
280.0ms
(/ (- (* x (* x x)) (* (* (/ 1.0 3.0) (/ 1.0 3.0)) (/ 1.0 3.0))) (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))

simplify5.1s

Counts
123 → 123
Iterations
IterNodes
done5006
22287
1570
0207

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize177.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (* x x))
0.4b
(* x (/ 1.0 3.0))
1.7b
(exp (log (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))
8.3b
(/ (- (* x (* x x)) (* (* (/ 1.0 3.0) (/ 1.0 3.0)) (/ 1.0 3.0))) (+ (* x x) (exp (log (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))))

rewrite769.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
24×*-un-lft-identity add-cube-cbrt
22×times-frac
21×pow1
16×add-cbrt-cube add-exp-log
14×associate-*r*
associate-*l*
log-div exp-diff cube-unmult prod-exp associate-*r/ pow-prod-up cbrt-unprod
difference-cubes log-prod exp-prod exp-sum pow3 pow-prod-down insert-posit16 associate-/l* add-log-exp
associate-/r* frac-add unswap-sqr
cbrt-undiv flip3-+ div-exp associate-/r/ *-commutative flip-+ div-inv associate-/l/
pow2 frac-times clear-num frac-2neg pow-plus distribute-rgt-out flip3-- div-sub associate-*l/ pow-sqr log-pow flip-- rem-exp-log
Counts
4 → 117
Calls
4 calls:
55.0ms
(* x (* x x))
33.0ms
(* x (/ 1.0 3.0))
44.0ms
(exp (log (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))
630.0ms
(/ (- (* x (* x x)) (* (* (/ 1.0 3.0) (/ 1.0 3.0)) (/ 1.0 3.0))) (+ (* x x) (exp (log (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))))

series491.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(* x (* x x))
34.0ms
(* x (/ 1.0 3.0))
81.0ms
(exp (log (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))
305.0ms
(/ (- (* x (* x x)) (* (* (/ 1.0 3.0) (/ 1.0 3.0)) (/ 1.0 3.0))) (+ (* x x) (exp (log (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))))

simplify5.0s

Counts
129 → 129
Iterations
IterNodes
done5000
22290
1623
0246

prune1.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes158.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done5
05

end0.0ms

sample570.0ms

Algorithm
intervals
Results
396.0ms8000×body80valid