Details

Time bar (total: 2.2s)

sample24.0ms

Algorithm
intervals
Results
12.0ms317×body80valid

simplify204.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1127
2197
3287
4397
5447
6497
7587
8757
9917
101027
111047
121087
131097
done1097

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
20×add-sqr-sqrt
15×times-frac
12×add-cube-cbrt
associate-/l*
add-exp-log add-cbrt-cube distribute-lft-out-- add-log-exp difference-of-squares
associate-/r*
pow1 div-sub associate-/l/
cbrt-undiv +-commutative associate-+r- flip3-- frac-2neg flip3-+ div-exp clear-num sum-log flip-- flip-+ div-inv distribute-lft-out
Counts
2 → 51
Calls
2 calls:
30.0ms
(/ (- y x) z)
33.0ms
(+ x (/ (- y x) z))

series92.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ (- y x) z)
51.0ms
(+ x (/ (- y x) z))

simplify1.4s

Counts
57 → 57
Iterations

Useful iterations: 2 (150.0ms)

IterNodesCost
094588
1222544
2582520
32061520
done5000520

prune152.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
106×*-un-lft-identity
103×add-sqr-sqrt
71×add-cube-cbrt
26×associate-/r*
16×add-exp-log distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-cbrt-cube
div-exp
div-inv
associate-/l*
flip3-- flip-- add-log-exp
pow1 cbrt-undiv
rec-exp frac-2neg 1-exp clear-num distribute-lft-out
+-commutative pow-flip flip3-+ sum-log flip-+ inv-pow
Counts
3 → 158
Calls
3 calls:
11.0ms
(/ z (- y x))
58.0ms
(+ x (/ 1 (/ z (- y x))))
18.0ms
(/ 1 (/ z (- y x)))

series91.0ms

Calls
2 calls:
39.0ms
(+ x (/ 1 (/ z (- y x))))
46.0ms
(/ 1 (/ z (- y x)))