Details

Time bar (total: 4.9s)

sample65.0ms

Algorithm
intervals
Results
35.0ms412×body80valid

simplify1.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01717
13217
26917
312617
420117
528417
638917
752617
863017
963817
done63817

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
0.0b
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
0.0b
(+ (* x y) (/ (* z t) 16.0))

rewrite496.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
10×*-un-lft-identity
sum-log
add-sqr-sqrt
diff-log
pow1 add-exp-log add-cube-cbrt associate-+l+ flip3-+ add-cbrt-cube flip-+
+-commutative sub-neg associate--l+ frac-sub distribute-lft-out distribute-lft-out--
associate-+l- flip3-- flip-- difference-of-squares
Counts
3 → 48
Calls
3 calls:
368.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
114.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
11.0ms
(+ (* x y) (/ (* z t) 16.0))

series365.0ms

Counts
3 → 9
Calls
3 calls:
177.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
124.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
63.0ms
(+ (* x y) (/ (* z t) 16.0))

simplify2.2s

Counts
57 → 57
Iterations

Useful iterations: 3 (875.0ms)

IterNodesCost
01011203
12791119
210041083
346651055
done50001055

prune250.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x y) (/ (* z t) 16.0))) (cbrt (+ (* x y) (/ (* z t) 16.0))))
1.8b
(cbrt (+ (* x y) (/ (* z t) 16.0)))
1.8b
(cbrt (+ (* x y) (/ (* z t) 16.0)))
1.8b
(cbrt (+ (* x y) (/ (* z t) 16.0)))

rewrite111.0ms

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:
77.0ms
(* (cbrt (+ (* x y) (/ (* z t) 16.0))) (cbrt (+ (* x y) (/ (* z t) 16.0))))
8.0ms
(cbrt (+ (* x y) (/ (* z t) 16.0)))
8.0ms
(cbrt (+ (* x y) (/ (* z t) 16.0)))
15.0ms
(cbrt (+ (* x y) (/ (* z t) 16.0)))

series14.0ms