Details

Time bar (total: 6.3s)

sample12.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations
IterNodes
done6
16
05

prune2.0ms

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))

rewrite8.0ms

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:
8.0ms
(+ x (/ 1.0 3.0))

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(+ x (/ 1.0 3.0))

simplify640.0ms

Counts
16 → 16
Iterations
IterNodes
done2002
41225
3488
2208
179
029

prune37.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(log (+ x (/ 1.0 3.0)))
0.0b
(+ x (/ 1.0 3.0))
1.5b
(exp (log (+ x (/ 1.0 3.0))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
8×log-prod
6×add-sqr-sqrt add-cube-cbrt
5×pow1 add-log-exp
4×log-div exp-prod exp-sum add-exp-log
3×flip3-+ add-cbrt-cube flip-+ insert-posit16 distribute-lft-out
2×exp-diff log-pow
1×+-commutative sum-log rem-log-exp rem-exp-log
Counts
3 → 48
Calls
3 calls:
4.0ms
(log (+ x (/ 1.0 3.0)))
9.0ms
(+ x (/ 1.0 3.0))
6.0ms
(exp (log (+ x (/ 1.0 3.0))))

series93.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(log (+ x (/ 1.0 3.0)))
20.0ms
(+ x (/ 1.0 3.0))
21.0ms
(exp (log (+ x (/ 1.0 3.0))))

simplify546.0ms

Counts
57 → 57
Iterations
IterNodes
done2001
31121
2454
1194
090

prune228.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize46.0ms

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))
0.3b
(* x (/ 1.0 3.0))
19.1b
(/ (+ (* (/ 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)))))

rewrite260.0ms

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*
9×cube-unmult
8×associate-*r/
6×associate-*l* add-log-exp
5×prod-exp pow-prod-up cbrt-unprod
4×pow-prod-down sum-cubes insert-posit16 associate-/l*
3×associate-/r* frac-sub unswap-sqr
2×cbrt-undiv flip3-+ div-exp associate-*l/ associate-/r/ *-commutative flip-+ div-inv sub-div associate-/l/
1×pow2 frac-times clear-num sub-neg frac-2neg pow-plus flip3-- distribute-rgt-out-- diff-log pow-sqr flip--
Counts
4 → 113
Calls
4 calls:
17.0ms
(- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))
22.0ms
(* x (* x x))
13.0ms
(* x (/ 1.0 3.0))
204.0ms
(/ (+ (* (/ 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)))))

series354.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))
53.0ms
(* x (* x x))
26.0ms
(* x (/ 1.0 3.0))
211.0ms
(/ (+ (* (/ 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)))))

simplify545.0ms

Counts
125 → 125
Iterations
IterNodes
done2000
1552
0212

prune468.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (/ 1.0 3.0) (/ 1.0 3.0)) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x x)))
0.3b
(* x (/ 1.0 3.0))
15.0b
(/ (* (* (/ 1.0 3.0) (/ 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))))
19.1b
(/ (+ (* (/ 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)) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x x))) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))))

rewrite300.0ms

Algorithm
rewrite-expression-head
Rules
54×add-cbrt-cube add-exp-log
30×add-sqr-sqrt
26×times-frac
24×*-un-lft-identity add-cube-cbrt
20×prod-exp cbrt-unprod
19×frac-times
17×associate-*r*
16×cbrt-undiv div-exp
15×associate-*r/
13×associate-*l/ associate-/l/
11×pow1
8×flip3-- cube-unmult flip--
7×associate-/r* associate-/r/
5×associate-/l*
4×associate-*l* pow-prod-down sum-cubes insert-posit16 add-log-exp
3×flip3-+ frac-add flip-+ div-inv unswap-sqr
2×distribute-rgt-in clear-num sub-neg frac-2neg distribute-lft-in distribute-rgt-out *-commutative
1×difference-of-squares
Counts
4 → 159
Calls
4 calls:
78.0ms
(* (* (/ 1.0 3.0) (/ 1.0 3.0)) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x x)))
8.0ms
(* x (/ 1.0 3.0))
71.0ms
(/ (* (* (/ 1.0 3.0) (/ 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))))
141.0ms
(/ (+ (* (/ 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)) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x x))) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))))

series830.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(* (* (/ 1.0 3.0) (/ 1.0 3.0)) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x x)))
26.0ms
(* x (/ 1.0 3.0))
167.0ms
(/ (* (* (/ 1.0 3.0) (/ 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))))
541.0ms
(/ (+ (* (/ 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)) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x x))) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))))

simplify666.0ms

Counts
171 → 171
Iterations
IterNodes
done2004
1917
0297

prune623.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes55.0ms

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
done6
16
05

end0.0ms

sample436.0ms

Algorithm
intervals
Results
341.0ms8000×body80valid