Details

Time bar (total: 18.3s)

sample57.0ms

Algorithm
intervals
Results
32.0ms387×body80valid

simplify1.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

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))

rewrite464.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
10×*-un-lft-identity
6×sum-log
5×add-sqr-sqrt
4×diff-log
3×pow1 add-exp-log add-cube-cbrt associate-+l+ flip3-+ add-cbrt-cube flip-+
2×+-commutative sub-neg associate--l+ frac-sub distribute-lft-out distribute-lft-out--
1×associate-+l- flip3-- flip-- difference-of-squares
Counts
3 → 48
Calls
3 calls:
347.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
96.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
20.0ms
(+ (* x y) (/ (* z t) 16.0))

series383.0ms

Counts
3 → 9
Calls
3 calls:
217.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
98.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
68.0ms
(+ (* x y) (/ (* z t) 16.0))

simplify2.4s

Counts
57 → 57
Iterations

Useful iterations: 3 (899.0ms)

IterNodesCost
01011203
12791119
210041083
346651055
done50001055

prune220.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))) (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))))
0.7b
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
0.7b
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
0.7b
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))

rewrite454.0ms

Algorithm
rewrite-expression-head
Rules
52×cbrt-div
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
26×frac-sub
16×frac-times
15×add-cube-cbrt
13×flip3-- flip3-+ flip-- flip-+
11×pow1
10×swap-sqr
9×pow1/3 distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×associate-*r/ associate-*l/ add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 123
Calls
4 calls:
342.0ms
(* (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))) (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))))
38.0ms
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
37.0ms
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
31.0ms
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))

series994.0ms

Counts
4 → 12
Calls
4 calls:
334.0ms
(* (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))) (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))))
216.0ms
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
222.0ms
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
222.0ms
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))

simplify2.3s

Counts
135 → 135
Iterations

Useful iterations: done (2.3s)

IterNodesCost
02026231
14445826
213135592
344265014
done50004964

prune635.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ (* a b) 4.0) (/ (* a b) 4.0))
0.3b
(* (+ (* x y) (/ (* z t) 16.0)) (+ (* x y) (/ (* z t) 16.0)))
3.2b
(- (* (+ (* x y) (/ (* z t) 16.0)) (+ (* x y) (/ (* z t) 16.0))) (* (/ (* a b) 4.0) (/ (* a b) 4.0)))
31.3b
(/ (- (* (+ (* x y) (/ (* z t) 16.0)) (+ (* x y) (/ (* z t) 16.0))) (* (/ (* a b) 4.0) (/ (* a b) 4.0))) (+ (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))

rewrite367.0ms

Algorithm
rewrite-expression-head
Rules
48×frac-sub
45×frac-times
44×add-exp-log flip3-+ add-cbrt-cube flip-+
36×*-un-lft-identity
31×associate-*r/ associate-*l/
30×add-sqr-sqrt
28×times-frac
26×add-cube-cbrt associate-/l/
18×pow1
16×prod-exp cbrt-unprod
13×cbrt-undiv div-exp
10×swap-sqr associate-*r* associate-*l*
6×add-log-exp difference-of-squares
5×div-inv distribute-lft-out
4×associate-/r* associate-/r/ associate-/l*
2×pow2 distribute-rgt-in flip3-- distribute-lft-in pow-plus pow-prod-down frac-add associate--l+ pow-sqr *-commutative pow-prod-up flip-- unswap-sqr
1×sub-neg frac-2neg diff-log div-sub clear-num
Counts
4 → 197
Calls
4 calls:
53.0ms
(* (/ (* a b) 4.0) (/ (* a b) 4.0))
74.0ms
(* (+ (* x y) (/ (* z t) 16.0)) (+ (* x y) (/ (* z t) 16.0)))
40.0ms
(- (* (+ (* x y) (/ (* z t) 16.0)) (+ (* x y) (/ (* z t) 16.0))) (* (/ (* a b) 4.0) (/ (* a b) 4.0)))
187.0ms
(/ (- (* (+ (* x y) (/ (* z t) 16.0)) (+ (* x y) (/ (* z t) 16.0))) (* (/ (* a b) 4.0) (/ (* a b) 4.0))) (+ (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))

series1.3s

Counts
4 → 12
Calls
4 calls:
59.0ms
(* (/ (* a b) 4.0) (/ (* a b) 4.0))
99.0ms
(* (+ (* x y) (/ (* z t) 16.0)) (+ (* x y) (/ (* z t) 16.0)))
763.0ms
(- (* (+ (* x y) (/ (* z t) 16.0)) (+ (* x y) (/ (* z t) 16.0))) (* (/ (* a b) 4.0) (/ (* a b) 4.0)))
332.0ms
(/ (- (* (+ (* x y) (/ (* z t) 16.0)) (+ (* x y) (/ (* z t) 16.0))) (* (/ (* a b) 4.0) (/ (* a b) 4.0))) (+ (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))

simplify2.5s

Counts
209 → 209
Iterations

Useful iterations: done (2.5s)

IterNodesCost
03479465
110348555
247387971
done50007187

prune1.1s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
0.7b
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
3.2b
(- (* (+ (* x y) (/ (* z t) 16.0)) (+ (* x y) (/ (* z t) 16.0))) (* (/ (* a b) 4.0) (/ (* a b) 4.0)))
32.3b
(cbrt (- (* (+ (* x y) (/ (* z t) 16.0)) (+ (* x y) (/ (* z t) 16.0))) (* (/ (* a b) 4.0) (/ (* a b) 4.0))))

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
52×frac-sub
40×frac-times
38×flip3-+ flip-+
34×cbrt-div
28×associate-*r/ associate-*l/
14×cbrt-prod
11×add-sqr-sqrt *-un-lft-identity
7×add-cube-cbrt
6×add-log-exp
4×pow1 add-exp-log flip3-- add-cbrt-cube flip-- difference-of-squares
3×pow1/3
2×associate--l+ distribute-lft-out--
1×distribute-rgt-in sub-neg distribute-lft-in diff-log
Counts
4 → 111
Calls
4 calls:
39.0ms
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
32.0ms
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
41.0ms
(- (* (+ (* x y) (/ (* z t) 16.0)) (+ (* x y) (/ (* z t) 16.0))) (* (/ (* a b) 4.0) (/ (* a b) 4.0)))
39.0ms
(cbrt (- (* (+ (* x y) (/ (* z t) 16.0)) (+ (* x y) (/ (* z t) 16.0))) (* (/ (* a b) 4.0) (/ (* a b) 4.0))))

series1.4s

Counts
4 → 12
Calls
4 calls:
239.0ms
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
204.0ms
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
699.0ms
(- (* (+ (* x y) (/ (* z t) 16.0)) (+ (* x y) (/ (* z t) 16.0))) (* (/ (* a b) 4.0) (/ (* a b) 4.0)))
245.0ms
(cbrt (- (* (+ (* x y) (/ (* z t) 16.0)) (+ (* x y) (/ (* z t) 16.0))) (* (/ (* a b) 4.0) (/ (* a b) 4.0))))

simplify1.4s

Counts
123 → 123
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02887799
17537199
227566910
done50026895

prune859.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes9.0ms