Details

Time bar (total: 15.1s)

sample31.0ms

Algorithm
intervals
Results
6.0ms217×body80valid
5.0ms23×body640valid
4.0ms32×body1280valid
2.0ms28×body320valid
1.0msbody2560valid
1.0ms12×body160valid

simplify6.5s

Counts
1 → 1
Iterations

Useful iterations: 5 (194.0ms)

IterNodesCost
0915
12213
26311
31559
43007
55515
614215
747495
done50005

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(* y (- x z))

rewrite10.0ms

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:
10.0ms
(* y (- x z))

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(* y (- x z))

simplify2.0s

Counts
29 → 29
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
052217
1112206
2278186
3786186
42093186
done5001186

prune50.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* x y) (* (- z) y))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
distribute-lft-neg-out
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt distribute-rgt-out *-un-lft-identity flip3-+ unsub-neg sum-log add-cbrt-cube flip-+
Counts
1 → 14
Calls
1 calls:
3.0ms
(+ (* x y) (* (- z) y))

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(+ (* x y) (* (- z) y))

simplify3.8s

Counts
17 → 17
Iterations

Useful iterations: 4 (2.2s)

IterNodesCost
031188
1106135
2394122
31452118
44602116
done5000116

prune39.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

1.4b
(+ (* z z) (* x z))
2.6b
(- (pow x 3) (pow z 3))
5.1b
(* y (- (pow x 3) (pow z 3)))
36.0b
(/ (* y (- (pow x 3) (pow z 3))) (+ (* x x) (+ (* z z) (* x z))))

rewrite110.0ms

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:
3.0ms
(+ (* z z) (* x z))
17.0ms
(- (pow x 3) (pow z 3))
52.0ms
(* y (- (pow x 3) (pow z 3)))
33.0ms
(/ (* y (- (pow x 3) (pow z 3))) (+ (* x x) (+ (* z z) (* x z))))

series353.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(+ (* z z) (* x z))
60.0ms
(- (pow x 3) (pow z 3))
116.0ms
(* y (- (pow x 3) (pow z 3)))
146.0ms
(/ (* y (- (pow x 3) (pow z 3))) (+ (* x x) (+ (* z z) (* x z))))

simplify855.0ms

Counts
129 → 129
Iterations

Useful iterations: 2 (259.0ms)

IterNodesCost
01722021
14951765
217681595
done50011595

prune322.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes51.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
1128
2158
3168
done168

end0.0ms

sample792.0ms

Algorithm
intervals
Results
212.0ms7065×body80valid
126.0ms922×body1280valid
111.0ms996×body640valid
49.0ms599×body320valid
40.0ms242×body2560valid
19.0ms348×body160valid