Details

Time bar (total: 13.3s)

sample31.0ms

Algorithm
intervals
Results
6.0ms217×body80valid
4.0ms32×body1280valid
2.0ms21×body640valid
2.0ms25×body320valid
1.0msbody2560valid
1.0ms17×body160valid

simplify5.6s

Counts
1 → 1
Iterations

Useful iterations: 4 (150.0ms)

IterNodesCost
0915
12313
2768
31867
46045
524295
done50005

prune7.0ms

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))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
18×prod-diff
17×*-un-lft-identity
15×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
associate-*r*
pow1 add-exp-log associate-*l* add-cbrt-cube
sub-neg associate-*r/
expm1-log1p-u flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
Counts
1 → 46
Calls
1 calls:
12.0ms
(* y (- x z))

series50.0ms

Counts
1 → 3
Calls
1 calls:
50.0ms
(* y (- x z))

simplify1.2s

Counts
49 → 49
Iterations

Useful iterations: 3 (249.0ms)

IterNodesCost
0102721
1187548
2434438
31580396
done5001396

prune66.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

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 expm1-log1p-u add-cube-cbrt distribute-rgt-out fma-def *-un-lft-identity flip3-+ unsub-neg sum-log add-cbrt-cube flip-+ log1p-expm1-u
Counts
1 → 17
Calls
1 calls:
3.0ms
(+ (* x y) (* (- z) y))

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(+ (* x y) (* (- z) y))

simplify2.8s

Counts
20 → 20
Iterations

Useful iterations: done (2.8s)

IterNodesCost
033206
1113146
2433133
31690129
done5000127

prune47.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

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))))

rewrite236.0ms

Algorithm
rewrite-expression-head
Rules
432×prod-diff
277×add-sqr-sqrt
247×*-un-lft-identity
243×unpow-prod-down cube-prod
227×add-cube-cbrt
146×distribute-rgt-in distribute-lft-in
89×sqr-pow
73×cube-mult unpow3
32×difference-of-squares
25×associate-*r*
12×fma-neg
11×add-exp-log add-cbrt-cube
10×distribute-lft-out--
add-log-exp
pow1
expm1-log1p-u associate-*r/ log1p-expm1-u
sub-neg flip3-- times-frac associate-*l* associate-/r* flip--
difference-cubes cbrt-undiv flip3-+ div-exp prod-exp associate-/r/ cbrt-unprod flip-+ associate-/l/
+-commutative distribute-rgt-out fma-def frac-2neg diff-log pow-prod-down clear-num sum-log *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 570
Calls
4 calls:
3.0ms
(+ (* z z) (* x z))
21.0ms
(- (pow x 3) (pow z 3))
80.0ms
(* y (- (pow x 3) (pow z 3)))
89.0ms
(/ (* y (- (pow x 3) (pow z 3))) (+ (* x x) (+ (* z z) (* x z))))

series404.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(+ (* z z) (* x z))
62.0ms
(- (pow x 3) (pow z 3))
137.0ms
(* y (- (pow x 3) (pow z 3)))
168.0ms
(/ (* y (- (pow x 3) (pow z 3))) (+ (* x x) (+ (* z z) (* x z))))

simplify1.6s

Counts
582 → 582
Iterations

Useful iterations: 2 (734.0ms)

IterNodesCost
048719301
187810612
228318011
done50008011

prune442.0ms

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

simplify5.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
1128
2158
3168
done168

end0.0ms

sample757.0ms

Algorithm
intervals
Results
210.0ms7066×body80valid
124.0ms888×body1280valid
93.0ms900×body640valid
41.0ms523×body320valid
39.0ms242×body2560valid
29.0ms553×body160valid