Details

Time bar (total: 11.3s)

sample37.0ms

Algorithm
intervals
Results
9.0ms239×body80valid
6.0ms38×body1280valid
4.0ms30×body640valid
2.0ms17×body320valid
1.0msbody2560valid
1.0ms10×body160valid

simplify542.0ms

Counts
1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

0.0b
(* y (- x z))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
*-un-lft-identity associate-*r*
pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube
distribute-rgt-in sub-neg distribute-lft-in associate-*r/
flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
Counts
1 → 26
Calls
1 calls:
23.0ms
(* y (- x z))

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(* y (- x z))

simplify721.0ms

Counts
29 → 29

prune66.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.5b
(cbrt y)
0.5b
(cbrt y)
0.5b
(cbrt y)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
22.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series959.0ms

Counts
4 → 12
Calls
4 calls:
234.0ms
(* (cbrt y) (cbrt y))
216.0ms
(cbrt y)
232.0ms
(cbrt y)
276.0ms
(cbrt y)

simplify731.0ms

Counts
85 → 85

prune204.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(cbrt y)
0.6b
(cbrt (cbrt y))
0.6b
(cbrt (* (cbrt y) (cbrt y)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 45
Calls
4 calls:
2.0ms
(cbrt y)
1.0ms
(cbrt y)
2.0ms
(cbrt (cbrt y))
6.0ms
(cbrt (* (cbrt y) (cbrt y)))

series1.3s

Counts
4 → 12
Calls
4 calls:
261.0ms
(cbrt y)
276.0ms
(cbrt y)
399.0ms
(cbrt (cbrt y))
396.0ms
(cbrt (* (cbrt y) (cbrt y)))

simplify1.0s

Counts
57 → 57

prune263.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

2.3b
(+ (* z z) (* x z))
2.8b
(- (pow x 3) (pow z 3))
6.1b
(* y (- (pow x 3) (pow z 3)))
37.2b
(/ (* y (- (pow x 3) (pow z 3))) (+ (* x x) (+ (* z z) (* x z))))

rewrite276.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
32×difference-of-squares
28×*-un-lft-identity
25×associate-*r*
24×unpow-prod-down cube-prod
16×sqr-pow
11×add-exp-log add-cbrt-cube
10×distribute-lft-out--
add-cube-cbrt add-log-exp
pow1
associate-*r/
sub-neg flip3-- times-frac associate-*l* associate-/r* flip--
difference-cubes cbrt-undiv distribute-rgt-in distribute-lft-in flip3-+ div-exp prod-exp associate-/r/ cbrt-unprod flip-+ associate-/l/
+-commutative distribute-rgt-out frac-2neg diff-log pow-prod-down clear-num sum-log *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 117
Calls
4 calls:
17.0ms
(+ (* z z) (* x z))
46.0ms
(- (pow x 3) (pow z 3))
113.0ms
(* y (- (pow x 3) (pow z 3)))
90.0ms
(/ (* y (- (pow x 3) (pow z 3))) (+ (* x x) (+ (* z z) (* x z))))

series544.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(+ (* z z) (* x z))
93.0ms
(- (pow x 3) (pow z 3))
173.0ms
(* y (- (pow x 3) (pow z 3)))
234.0ms
(/ (* y (- (pow x 3) (pow z 3))) (+ (* x x) (+ (* z z) (* x z))))

simplify1.4s

Counts
129 → 129

prune484.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes87.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify22.0ms

end0.0ms

sample2.4s

Algorithm
intervals
Results
580.0ms7035×body80valid
489.0ms204×body2560valid
333.0ms1001×body1280valid
240.0ms922×body640valid
211.0ms594×body320valid
38.0ms340×body160valid