Details

Time bar (total: 15.4s)

sample25.0ms

Algorithm
intervals
Results
12.0ms265×body80valid

simplify8.0ms

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

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite42.0ms

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 expm1-log1p-u frac-2neg div-sub div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 54
Calls
1 calls:
38.0ms
(/ (- x y) (- z y))

series84.0ms

Counts
1 → 3
Calls
1 calls:
84.0ms
(/ (- x y) (- z y))

simplify3.6s

Counts
57 → 57
Iterations

Useful iterations: 4 (1.9s)

IterNodesCost
096724
1229696
2562668
31380668
43737666
done5000666

prune136.0ms

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))

rewrite307.0ms

Algorithm
rewrite-expression-head
Rules
712×*-un-lft-identity
702×add-sqr-sqrt
693×times-frac
441×prod-diff
412×add-cube-cbrt
149×distribute-lft-out--
143×difference-of-squares
94×associate-/r/
48×flip3-- flip--
47×div-inv
21×fma-neg
10×associate-/r*
7×add-exp-log add-cbrt-cube
6×associate-/l*
5×add-log-exp
3×pow1 expm1-log1p-u distribute-rgt-out-- log1p-expm1-u
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg diff-log frac-sub sub-div
Counts
3 → 571
Calls
3 calls:
172.0ms
(- (/ x (- z y)) (/ y (- z y)))
20.0ms
(/ x (- z y))
21.0ms
(/ y (- z y))

series207.0ms

Counts
3 → 9
Calls
3 calls:
90.0ms
(- (/ x (- z y)) (/ y (- z y)))
34.0ms
(/ x (- z y))
83.0ms
(/ y (- z y))

simplify2.3s

Counts
580 → 580
Iterations

Useful iterations: done (2.2s)

IterNodesCost
055328194
1120325295
2253519371
done500014562

prune911.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize40.0ms

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 expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
2×cbrt-div
1×flip3-- flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 56
Calls
4 calls:
8.0ms
(cbrt (- z y))
2.0ms
(cbrt y)
2.0ms
(cbrt y)
2.0ms
(cbrt y)

series1.2s

Counts
4 → 12
Calls
4 calls:
260.0ms
(cbrt (- z y))
323.0ms
(cbrt y)
309.0ms
(cbrt y)
331.0ms
(cbrt y)

simplify2.5s

Counts
68 → 68
Iterations

Useful iterations: done (2.5s)

IterNodesCost
091409
1183391
2378365
3833342
42150330
done5000327

prune359.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite88.0ms

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×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u associate-/l/ add-log-exp
1×pow-flip div-sub inv-pow
Counts
2 → 204
Calls
2 calls:
30.0ms
(/ (- z y) (- x y))
39.0ms
(/ 1 (/ (- z y) (- x y)))

series286.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(/ (- z y) (- x y))
227.0ms
(/ 1 (/ (- z y) (- x y)))

simplify2.8s

Counts
210 → 210
Iterations

Useful iterations: 3 (1.6s)

IterNodesCost
02533562
15783050
213172777
334772701
done50002701

prune411.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes2.0ms