Details

Time bar (total: 35.8s)

sample21.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify11.0ms

Counts
1 → 1
Iterations
IterNodes
done10
210
17
05

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (/ 1.0 3.0))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
3×*-un-lft-identity add-log-exp
2×difference-of-squares
1×pow1 add-exp-log add-cube-cbrt sub-neg flip3-- times-frac diff-log add-cbrt-cube flip-- distribute-lft-out--
Counts
1 → 15
Calls
1 calls:
40.0ms
(- x (/ 1.0 3.0))

series62.0ms

Counts
1 → 3
Calls
1 calls:
62.0ms
(- x (/ 1.0 3.0))

simplify4.7s

Counts
18 → 18
Iterations
IterNodes
done5000
53039
41082
3407
2179
182
038

prune107.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ 1.0 3.0))
0.0b
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
13.3b
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)))

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
16×times-frac
13×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
2×flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
1×cbrt-undiv +-commutative sub-neg frac-2neg diff-log div-sub div-exp clear-num sum-log div-inv
Counts
3 → 66
Calls
3 calls:
21.0ms
(+ x (/ 1.0 3.0))
16.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
76.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)))

series639.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(+ x (/ 1.0 3.0))
75.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
533.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)))

simplify9.6s

Counts
75 → 75
Iterations
IterNodes
done5080
34408
21005
1290
0104

prune852.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) (+ (* (/ 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))
22.0b
(/ (- (* (* 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)))))

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
25×pow1
22×add-cube-cbrt *-un-lft-identity times-frac
16×add-exp-log associate-*r* add-cbrt-cube
9×add-log-exp
6×pow-plus pow-prod-up
5×pow3 prod-exp cbrt-unprod
4×difference-cubes cube-unmult associate-*l* pow-prod-down associate-/l*
3×associate-/r* sum-log unswap-sqr
2×cbrt-undiv pow2 flip3-+ div-exp associate-/r/ pow-sqr *-commutative flip-+ div-inv associate-/l/
1×+-commutative associate-+r+ flip3-- frac-2neg div-sub associate-*r/ clear-num flip--
Counts
4 → 109
Calls
4 calls:
94.0ms
(+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))
60.0ms
(* (* x x) x)
86.0ms
(* x (/ 1.0 3.0))
815.0ms
(/ (- (* (* 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)))))

series503.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))
67.0ms
(* (* x x) x)
29.0ms
(* x (/ 1.0 3.0))
354.0ms
(/ (- (* (* 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)))))

simplify4.8s

Counts
121 → 121
Iterations
IterNodes
done5003
22076
1558
0189

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
0.1b
(* (* x x) (* x x))
13.3b
(/ (/ (- (* (* 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)))
23.6b
(/ (- (* (* 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))))

rewrite564.0ms

Algorithm
rewrite-expression-head
Rules
144×times-frac
115×pow1
110×*-un-lft-identity
72×add-sqr-sqrt add-cube-cbrt
36×pow-prod-up
23×add-exp-log pow-prod-down add-cbrt-cube
22×pow-sqr associate-/l*
19×distribute-lft-out difference-of-squares
18×pow-plus
14×associate-/r/
13×pow2
8×flip3-+ prod-exp cbrt-unprod flip-+
7×associate-/r* div-inv
6×add-log-exp
4×cbrt-undiv div-exp
3×div-sub associate-/l/
2×frac-2neg clear-num
1×+-commutative flip3-- swap-sqr associate-*r* associate-*l* sum-log *-commutative flip-- unswap-sqr
Counts
4 → 222
Calls
4 calls:
19.0ms
(+ (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
105.0ms
(* (* x x) (* x x))
215.0ms
(/ (/ (- (* (* 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)))
202.0ms
(/ (- (* (* 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))))

series1.2s

Counts
4 → 12
Calls
4 calls:
167.0ms
(+ (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
240.0ms
(* (* x x) (* x x))
498.0ms
(/ (/ (- (* (* 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)))
277.0ms
(/ (- (* (* 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))))

simplify7.3s

Counts
234 → 234
Iterations
IterNodes
done5025
22960
1806
0285

prune2.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes205.0ms

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

sample600.0ms

Algorithm
intervals
Results
362.0ms8000×body80valid