Details

Time bar (total: 5.9s)

sample20.0ms

Algorithm
intervals
Results
10.0ms298×body80valid

simplify1.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11911
24211
38511
415011
522811
634511
746411
855911
958611
1059511
done59511

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y 1.0))
0.0b
(- (* x (- y 1.0)) (* y 0.5))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
*-un-lft-identity
sub-neg associate-*r*
pow1 add-exp-log distribute-rgt-in add-cube-cbrt distribute-lft-in associate--l+ add-cbrt-cube add-log-exp
associate-*l*
flip3-- associate-*r/ flip--
diff-log pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 42
Calls
2 calls:
36.0ms
(* x (- y 1.0))
17.0ms
(- (* x (- y 1.0)) (* y 0.5))

series96.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(* x (- y 1.0))
47.0ms
(- (* x (- y 1.0)) (* y 0.5))

simplify1.4s

Counts
48 → 48
Iterations

Useful iterations: 3 (522.0ms)

IterNodesCost
079471
1187451
2479411
31680409
done5000409

prune113.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* x y) (- (+ (* 1.0 x) (* 0.5 y))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
sum-log
neg-log
pow1 add-exp-log +-commutative neg-sub0 add-sqr-sqrt add-cube-cbrt associate-+r- associate-+r+ distribute-neg-in *-un-lft-identity flip3-+ unsub-neg add-cbrt-cube flip-+
Counts
1 → 17
Calls
1 calls:
31.0ms
(+ (* x y) (- (+ (* 1.0 x) (* 0.5 y))))

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(+ (* x y) (- (+ (* 1.0 x) (* 0.5 y))))

simplify2.6s

Counts
20 → 20
Iterations

Useful iterations: 3 (643.0ms)

IterNodesCost
045312
1132279
2487223
32329218
done5001218

prune48.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (* x (- y 1.0)) (* 0.5 y))) (cbrt (- (* x (- y 1.0)) (* 0.5 y))))
0.6b
(cbrt (- (* x (- y 1.0)) (* 0.5 y)))
0.6b
(cbrt (- (* x (- y 1.0)) (* 0.5 y)))
0.6b
(cbrt (- (* x (- y 1.0)) (* 0.5 y)))

rewrite188.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
flip3-- pow1/3 flip--
add-exp-log swap-sqr associate-*r* associate-*l*
frac-times add-cbrt-cube add-log-exp unswap-sqr
associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
125.0ms
(* (cbrt (- (* x (- y 1.0)) (* 0.5 y))) (cbrt (- (* x (- y 1.0)) (* 0.5 y))))
14.0ms
(cbrt (- (* x (- y 1.0)) (* 0.5 y)))
20.0ms
(cbrt (- (* x (- y 1.0)) (* 0.5 y)))
26.0ms
(cbrt (- (* x (- y 1.0)) (* 0.5 y)))

series32.0ms