Details

Time bar (total: 13.7s)

sample29.0ms

Algorithm
intervals
Results
14.0ms265×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1127
2167
3187
done187

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- x y) (- z y))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt *-un-lft-identity
25×times-frac
13×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/l*
3×add-exp-log add-cbrt-cube
2×flip3-- associate-/r/ flip-- associate-/l/
1×pow1 cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv add-log-exp
Counts
1 → 52
Calls
1 calls:
29.0ms
(/ (- x y) (- z y))

series73.0ms

Counts
1 → 3
Calls
1 calls:
73.0ms
(/ (- x y) (- z y))

simplify2.8s

Counts
55 → 55
Iterations

Useful iterations: 4 (1.3s)

IterNodesCost
094708
1224681
2544653
31303653
43344651
done5002651

prune137.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ x (- z y)) (/ y (- z y)))
0.0b
(/ x (- z y))
0.0b
(/ y (- z y))

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
67×*-un-lft-identity
57×add-sqr-sqrt
48×times-frac
25×add-cube-cbrt
20×distribute-lft-out--
14×difference-of-squares
10×associate-/r*
8×associate-/r/
7×add-exp-log add-cbrt-cube
6×associate-/l*
5×flip3-- flip-- add-log-exp
4×div-inv
3×pow1 distribute-rgt-out--
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg diff-log frac-sub sub-div
Counts
3 → 103
Calls
3 calls:
92.0ms
(- (/ x (- z y)) (/ y (- z y)))
11.0ms
(/ x (- z y))
21.0ms
(/ y (- z y))

series242.0ms

Counts
3 → 9
Calls
3 calls:
113.0ms
(- (/ x (- z y)) (/ y (- z y)))
42.0ms
(/ x (- z y))
87.0ms
(/ y (- z y))

simplify2.8s

Counts
112 → 112
Iterations

Useful iterations: 4 (1.6s)

IterNodesCost
01491266
12991203
26351159
313081159
434961153
done50001153

prune355.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
10×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
2×cbrt-div
1×flip3-- flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 48
Calls
4 calls:
8.0ms
(cbrt (- z y))
2.0ms
(cbrt y)
2.0ms
(cbrt y)
2.0ms
(cbrt y)

series1.1s

Counts
4 → 12
Calls
4 calls:
205.0ms
(cbrt (- z y))
306.0ms
(cbrt y)
334.0ms
(cbrt y)
300.0ms
(cbrt y)

simplify1.8s

Counts
60 → 60
Iterations

Useful iterations: done (1.8s)

IterNodesCost
087381
1175365
2352339
3748317
41896304
done5001301

prune264.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z y) (- x y))
0.4b
(/ 1 (/ (- z y) (- x y)))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×pow-flip div-sub inv-pow
Counts
2 → 200
Calls
2 calls:
42.0ms
(/ (- z y) (- x y))
31.0ms
(/ 1 (/ (- z y) (- x y)))

series264.0ms

Counts
2 → 6
Calls
2 calls:
75.0ms
(/ (- z y) (- x y))
190.0ms
(/ 1 (/ (- z y) (- x y)))

simplify3.0s

Counts
206 → 206
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
02493526
15693018
212952749
333382673
done50002673

prune377.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes2.0ms