Details

Time bar (total: 22.0s)

sample70.0ms

Algorithm
intervals
Results
14.0ms212×body80valid
13.0ms41×body1280valid
10.0ms40×body640valid
6.0ms30×body320valid
2.0ms12×body160valid
1.0msbody2560valid

simplify10.4s

Counts
1 → 1
Iterations

Useful iterations: 5 (657.0ms)

IterNodesCost
0915
12313
27511
32029
44377
57695
616645
done50015

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b
(* y (- x z))

rewrite44.0ms

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:
42.0ms
(* y (- x z))

series59.0ms

Counts
1 → 3
Calls
1 calls:
59.0ms
(* y (- x z))

simplify1.9s

Counts
49 → 49
Iterations

Useful iterations: done (1.9s)

IterNodesCost
0102721
1192548
2415438
31735396
done5001342

prune99.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
distribute-rgt-neg-out
pow1 add-exp-log +-commutative add-sqr-sqrt expm1-log1p-u add-cube-cbrt fma-def *-un-lft-identity flip3-+ unsub-neg sum-log add-cbrt-cube flip-+ log1p-expm1-u distribute-lft-out
Counts
1 → 17
Calls
1 calls:
9.0ms
(+ (* y x) (* y (- z)))

series60.0ms

Counts
1 → 3
Calls
1 calls:
59.0ms
(+ (* y x) (* y (- z)))

simplify2.9s

Counts
20 → 20
Iterations

Useful iterations: done (2.9s)

IterNodesCost
034206
1115146
2452133
31843129
done5000127

prune69.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

2.2b
(+ (* z z) (* x z))
2.2b
(- (pow x 3) (pow z 3))
5.1b
(* y (- (pow x 3) (pow z 3)))
36.5b
(/ (* y (- (pow x 3) (pow z 3))) (+ (* x x) (+ (* z z) (* x z))))

rewrite455.0ms

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:
10.0ms
(+ (* z z) (* x z))
44.0ms
(- (pow x 3) (pow z 3))
166.0ms
(* y (- (pow x 3) (pow z 3)))
159.0ms
(/ (* y (- (pow x 3) (pow z 3))) (+ (* x x) (+ (* z z) (* x z))))

series485.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(+ (* z z) (* x z))
57.0ms
(- (pow x 3) (pow z 3))
135.0ms
(* y (- (pow x 3) (pow z 3)))
236.0ms
(/ (* y (- (pow x 3) (pow z 3))) (+ (* x x) (+ (* z z) (* x z))))

simplify2.3s

Counts
582 → 582
Iterations

Useful iterations: done (2.3s)

IterNodesCost
048719301
195010612
228768013
done50008011

prune691.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes86.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify10.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
1128
2168
3178
done178

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.0s7062×body80valid
287.0ms924×body640valid
256.0ms953×body1280valid
134.0ms637×body320valid
73.0ms356×body160valid
71.0ms230×body2560valid