Details

Time bar (total: 4.3s)

sample70.0ms

Algorithm
intervals
Results
31.0ms396×body80valid

simplify1.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite511.0ms

Algorithm
rewrite-expression-head
Rules
20×add-log-exp
13×*-un-lft-identity
add-exp-log add-cbrt-cube
add-sqr-sqrt
add-cube-cbrt sum-log
pow1 diff-log
associate-+l+ flip3-+ times-frac associate-/r* flip-+
cbrt-undiv +-commutative sub-neg div-exp associate--l+ frac-sub distribute-lft-out distribute-lft-out--
associate-+l- flip3-- frac-2neg prod-exp clear-num flip-- cbrt-unprod div-inv associate-/l* difference-of-squares
Counts
4 → 69
Calls
4 calls:
117.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
21.0ms
(/ (* a b) 4.0)
23.0ms
(+ (* x y) (/ (* z t) 16.0))
346.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)

series397.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
22.0ms
(/ (* a b) 4.0)
48.0ms
(+ (* x y) (/ (* z t) 16.0))
220.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)

simplify905.0ms

Counts
81 → 81
Iterations

Useful iterations: done (903.0ms)

IterNodesCost
01411389
13701288
213331232
done50001204

prune384.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (sqrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))) (sqrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))) c)
0.3b
(* (sqrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))) (sqrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))))
0.8b
(sqrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
0.8b
(sqrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))

rewrite717.0ms

Algorithm
rewrite-expression-head
Rules
48×sqrt-div
40×add-sqr-sqrt sqrt-prod
32×*-un-lft-identity
24×frac-sub
21×pow1
16×frac-times
14×add-cube-cbrt
13×flip3-+ flip-+
12×flip3-- swap-sqr flip--
10×sqrt-pow1 pow1/2
associate-*r* associate-*l* distribute-lft-out--
add-exp-log add-cbrt-cube add-log-exp difference-of-squares
pow-prod-up
associate-*r/ associate-*l/ unswap-sqr
pow-prod-down pow-sqr
rem-sqrt-square
+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 130
Calls
4 calls:
112.0ms
(+ (* (sqrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))) (sqrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))) c)
401.0ms
(* (sqrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))) (sqrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))))
86.0ms
(sqrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
110.0ms
(sqrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))

series65.0ms