Details

Time bar (total: 10.2s)

sample37.0ms

Algorithm
intervals
Results
18.0ms313×body80valid

simplify444.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1139
2209
3349
4479
5559
6669
7879
81209
91499
101699
111809
121989
132079
done2079

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*r*
4×pow1 add-exp-log distribute-rgt-in add-cube-cbrt sub-neg associate-+r+ distribute-lft-in add-cbrt-cube add-log-exp
3×associate-*l*
2×associate-*r/
1×+-commutative flip3-- flip3-+ pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 41
Calls
2 calls:
17.0ms
(+ (* x y) (* z (- 1.0 y)))
40.0ms
(* z (- 1.0 y))

series77.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(+ (* x y) (* z (- 1.0 y)))
35.0ms
(* z (- 1.0 y))

simplify1.4s

Counts
47 → 47
Iterations

Useful iterations: 2 (106.0ms)

IterNodesCost
077459
1195437
2557397
32134397
done5001397

prune154.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×sum-log
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ distribute-rgt-neg-out add-cbrt-cube flip-+
1×associate-+l+ unsub-neg
Counts
2 → 26
Calls
2 calls:
52.0ms
(+ (+ (* 1.0 z) (* x y)) (* z (- y)))
16.0ms
(+ (* 1.0 z) (* x y))

series126.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(+ (+ (* 1.0 z) (* x y)) (* z (- y)))
58.0ms
(+ (* 1.0 z) (* x y))

simplify2.6s

Counts
32 → 32
Iterations

Useful iterations: 3 (950.0ms)

IterNodesCost
053453
1181413
2732358
32945345
done5000345

prune113.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 1.0 z) (* x y))
0.2b
(* (* x y) (* x y))
1.2b
(- (* (* 1.0 z) (* 1.0 z)) (* (* x y) (* x y)))
24.1b
(/ (- (* (* 1.0 z) (* 1.0 z)) (* (* x y) (* x y))) (- (* 1.0 z) (* x y)))

rewrite238.0ms

Algorithm
rewrite-expression-head
Rules
43×pow1
18×add-exp-log add-cbrt-cube
17×pow-prod-down
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×times-frac
8×prod-exp cbrt-unprod add-log-exp
5×difference-of-squares
4×flip3-- pow-sqr pow-prod-up flip-- associate-/l*
3×associate-/r*
2×sub-neg pow-plus diff-log associate-/r/ associate-/l/
1×cbrt-undiv pow2 frac-2neg div-sub swap-sqr div-exp associate-*r* associate-*l* clear-num *-commutative div-inv
Counts
4 → 95
Calls
4 calls:
8.0ms
(- (* 1.0 z) (* x y))
46.0ms
(* (* x y) (* x y))
47.0ms
(- (* (* 1.0 z) (* 1.0 z)) (* (* x y) (* x y)))
133.0ms
(/ (- (* (* 1.0 z) (* 1.0 z)) (* (* x y) (* x y))) (- (* 1.0 z) (* x y)))

series389.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(- (* 1.0 z) (* x y))
41.0ms
(* (* x y) (* x y))
141.0ms
(- (* (* 1.0 z) (* 1.0 z)) (* (* x y) (* x y)))
124.0ms
(/ (- (* (* 1.0 z) (* 1.0 z)) (* (* x y) (* x y))) (- (* 1.0 z) (* x y)))

simplify1.6s

Counts
107 → 107
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01332119
13611914
215891524
done50001520

prune323.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* 1.0 z) (- 1 (/ (* x y) (* 1.0 z))))
0.1b
(/ (* y x) (- (/ (* 1.0 z) (* x y)) 1))
3.2b
(/ (* x y) (* 1.0 z))
3.2b
(/ (* 1.0 z) (* x y))

rewrite157.0ms

Algorithm
rewrite-expression-head
Rules
38×add-exp-log add-cbrt-cube
22×add-sqr-sqrt
20×*-un-lft-identity
15×times-frac associate-/r*
12×cbrt-undiv div-exp
10×prod-exp cbrt-unprod
8×add-cube-cbrt difference-of-squares
4×pow1 frac-2neg clear-num associate-/r/ div-inv associate-/l* distribute-lft-out-- add-log-exp
2×flip3-- difference-of-sqr-1 flip--
Counts
4 → 102
Calls
4 calls:
35.0ms
(/ (* 1.0 z) (- 1 (/ (* x y) (* 1.0 z))))
56.0ms
(/ (* y x) (- (/ (* 1.0 z) (* x y)) 1))
25.0ms
(/ (* x y) (* 1.0 z))
35.0ms
(/ (* 1.0 z) (* x y))

series274.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(/ (* 1.0 z) (- 1 (/ (* x y) (* 1.0 z))))
90.0ms
(/ (* y x) (- (/ (* 1.0 z) (* x y)) 1))
45.0ms
(/ (* x y) (* 1.0 z))
47.0ms
(/ (* 1.0 z) (* x y))

simplify1.7s

Counts
114 → 114
Iterations

Useful iterations: 2 (609.0ms)

IterNodesCost
01821696
14801616
226991348
done50001348

prune413.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes1.0ms