Details

Time bar (total: 11.4s)

sample33.0ms

Algorithm
intervals
Results
17.0ms313×body80valid

simplify70.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1117
2227
3427
4617
5827
6927
done927

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.3b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
10.8b
(/ (* x (- y z)) y)

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
31.0ms
(* x (- y z))
27.0ms
(/ (* x (- y z)) y)

series149.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(* x (- y z))
82.0ms
(/ (* x (- y z)) y)

simplify2.7s

Counts
55 → 55
Iterations

Useful iterations: 2 (121.0ms)

IterNodesCost
090481
1219457
2715399
33669399
done5000399

prune101.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) y)
2.0b
(* x (/ (- y z) y))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×pow1
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
2 → 76
Calls
2 calls:
30.0ms
(/ (- y z) y)
47.0ms
(* x (/ (- y z) y))

series129.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(/ (- y z) y)
73.0ms
(* x (/ (- y z) y))

simplify2.2s

Counts
82 → 82
Iterations

Useful iterations: 2 (229.0ms)

IterNodesCost
0111813
1259769
2751706
32537706
done5000706

prune178.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- y z))
2.0b
(/ x (/ y (- y z)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
Counts
2 → 139
Calls
2 calls:
11.0ms
(/ y (- y z))
17.0ms
(/ x (/ y (- y z)))

series125.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(/ y (- y z))
67.0ms
(/ x (/ y (- y z)))

simplify1.4s

Counts
145 → 145
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02182050
14591914
216191842
done50001833

prune524.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 1 expressions with local error:

13.2b
(* (/ x y) (- y z))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×associate-*l*
11×*-un-lft-identity
10×times-frac
9×add-cube-cbrt
6×add-exp-log add-cbrt-cube
5×associate-*r*
3×pow1
2×distribute-rgt-in frac-times sub-neg flip3-- distribute-lft-in associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 42
Calls
1 calls:
43.0ms
(* (/ x y) (- y z))

series85.0ms

Counts
1 → 3
Calls
1 calls:
85.0ms
(* (/ x y) (- y z))

simplify3.3s

Counts
45 → 45
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
094463
1241452
2794410
32790394
done5000394

prune143.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes1.0ms