Details

Time bar (total: 14.4s)

sample16.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
3.0ms256×pre80true

simplify445.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
049
1137
2267
3437
41317
55627
done50007

prune4.0ms

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
(+ (pow x 3) (* x x))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
2×cube-mult
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt distribute-rgt-out *-un-lft-identity distribute-lft1-in flip3-+ unpow3 sum-log add-cbrt-cube flip-+ distribute-lft-out
Counts
1 → 14
Calls
1 calls:
17.0ms
(+ (pow x 3) (* x x))

series84.0ms

Counts
1 → 3
Calls
1 calls:
84.0ms
(+ (pow x 3) (* x x))

simplify624.0ms

Counts
17 → 17
Iterations

Useful iterations: done (623.0ms)

IterNodesCost
031179
1103164
2606144
done5001142

prune46.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (pow x 3) (* x x))
0.0b
(* (sqrt (+ (pow x 3) (* x x))) (sqrt (+ (pow x 3) (* x x))))
27.3b
(sqrt (+ (pow x 3) (* x x)))
27.3b
(sqrt (+ (pow x 3) (* x x)))

rewrite186.0ms

Algorithm
rewrite-expression-head
Rules
46×sqrt-prod
28×add-sqr-sqrt
21×pow1
16×cube-mult sqrt-div
14×add-cube-cbrt *-un-lft-identity
13×swap-sqr
10×sqrt-pow1 pow1/2
9×distribute-rgt-out flip3-+ unpow3 associate-*r* associate-*l* flip-+ distribute-lft-out
7×distribute-lft1-in
6×add-exp-log add-cbrt-cube add-log-exp
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 118
Calls
4 calls:
29.0ms
(+ (pow x 3) (* x x))
107.0ms
(* (sqrt (+ (pow x 3) (* x x))) (sqrt (+ (pow x 3) (* x x))))
21.0ms
(sqrt (+ (pow x 3) (* x x)))
21.0ms
(sqrt (+ (pow x 3) (* x x)))

series238.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(+ (pow x 3) (* x x))
82.0ms
(* (sqrt (+ (pow x 3) (* x x))) (sqrt (+ (pow x 3) (* x x))))
41.0ms
(sqrt (+ (pow x 3) (* x x)))
43.0ms
(sqrt (+ (pow x 3) (* x x)))

simplify1.5s

Counts
130 → 130
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01162283
12851564
216591402
done50001372

prune328.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (+ (pow x 3) (* x x))) (cbrt (+ (pow x 3) (* x x))))
28.2b
(cbrt (+ (pow x 3) (* x x)))
28.2b
(cbrt (+ (pow x 3) (* x x)))
28.2b
(cbrt (+ (pow x 3) (* x x)))

rewrite162.0ms

Algorithm
rewrite-expression-head
Rules
50×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
16×cube-mult
15×add-cube-cbrt *-un-lft-identity
11×pow1 swap-sqr
9×distribute-rgt-out flip3-+ pow1/3 unpow3 associate-*r* associate-*l* flip-+ distribute-lft-out
7×distribute-lft1-in
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 107
Calls
4 calls:
123.0ms
(* (cbrt (+ (pow x 3) (* x x))) (cbrt (+ (pow x 3) (* x x))))
11.0ms
(cbrt (+ (pow x 3) (* x x)))
11.0ms
(cbrt (+ (pow x 3) (* x x)))
11.0ms
(cbrt (+ (pow x 3) (* x x)))

series267.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(* (cbrt (+ (pow x 3) (* x x))) (cbrt (+ (pow x 3) (* x x))))
64.0ms
(cbrt (+ (pow x 3) (* x x)))
67.0ms
(cbrt (+ (pow x 3) (* x x)))
66.0ms
(cbrt (+ (pow x 3) (* x x)))

simplify865.0ms

Counts
119 → 119
Iterations

Useful iterations: done (860.0ms)

IterNodesCost
01412339
13462114
213671928
done50001801

prune429.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (* x x) 1) x)
0.0b
(* (pow x 4) (- (+ (* x x) 1) x))
0.1b
(pow (pow x 3) 3)
50.6b
(/ (+ (pow (pow x 3) 3) (pow x 6)) (* (pow x 4) (- (+ (* x x) 1) x)))

rewrite350.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
24×*-un-lft-identity
22×unpow-prod-down
21×add-exp-log
18×cube-prod
16×add-cube-cbrt
12×add-cbrt-cube
9×add-log-exp
7×associate-*l*
6×pow-exp prod-exp
5×associate-*r* sqr-pow
4×pow1 pow-to-exp times-frac associate-*r/ div-exp associate-/l*
3×distribute-rgt-in cube-mult sub-neg pow-unpow flip3-- distribute-lft-in unpow3 associate--l+ flip-- unswap-sqr
2×cbrt-undiv diff-log associate-/r/ cbrt-unprod associate-/l/ distribute-lft-out distribute-lft-out-- difference-of-squares
1×pow-pow frac-2neg flip3-+ clear-num associate-/r* sum-log *-commutative flip-+ div-inv rem-cube-cbrt
Counts
4 → 123
Calls
4 calls:
48.0ms
(- (+ (* x x) 1) x)
105.0ms
(* (pow x 4) (- (+ (* x x) 1) x))
6.0ms
(pow (pow x 3) 3)
187.0ms
(/ (+ (pow (pow x 3) 3) (pow x 6)) (* (pow x 4) (- (+ (* x x) 1) x)))

series465.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(- (+ (* x x) 1) x)
41.0ms
(* (pow x 4) (- (+ (* x x) 1) x))
87.0ms
(pow (pow x 3) 3)
314.0ms
(/ (+ (pow (pow x 3) 3) (pow x 6)) (* (pow x 4) (- (+ (* x x) 1) x)))

simplify7.3s

Counts
135 → 135
Iterations

Useful iterations: 2 (783.0ms)

IterNodesCost
01772058
15541877
243821683
done50001683

prune398.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes19.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
1817
done817

end0.0ms

sample576.0ms

Algorithm
intervals
Results
224.0ms8000×body80valid
110.0ms8000×pre80true