Details

Time bar (total: 3.4s)

sample17.0ms

Algorithm
intervals
Results
7.0ms279×body80valid

simplify112.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1149
2299
3549
4769
5999
61199
71299
81389
91399
done1399

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.8b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
10.1b
(/ (* x (- y z)) (- t z))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
6×add-cube-cbrt
5×times-frac associate-*r* associate-/r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
9.0ms
(* x (- y z))
9.0ms
(/ (* x (- y z)) (- t z))

series99.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* x (- y z))
65.0ms
(/ (* x (- y z)) (- t z))

simplify1.4s

Counts
61 → 61
Iterations

Useful iterations: done (1.4s)

IterNodesCost
0105599
1270575
2889501
33846501
done5000499

prune119.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
1.9b
(/ x (/ (- t z) (- y z)))

rewrite36.0ms

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*
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×div-sub
Counts
2 → 194
Calls
2 calls:
10.0ms
(/ (- t z) (- y z))
16.0ms
(/ x (/ (- t z) (- y z)))

series194.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ (- t z) (- y z))
148.0ms
(/ x (/ (- t z) (- y z)))

simplify642.0ms

Counts
200 → 200
Iterations

Useful iterations: 2 (182.0ms)

IterNodesCost
02703488
16373268
224463166
done50013166

prune396.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- y z))
0.0b
(/ z (- y z))
1.9b
(/ x (- (/ t (- y z)) (/ z (- y z))))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
174×*-un-lft-identity
156×times-frac
134×add-sqr-sqrt
56×distribute-lft-out--
54×add-cube-cbrt
32×difference-of-squares
28×associate-/r*
24×associate-/r/
12×distribute-rgt-out--
11×flip3-- flip-- div-inv
9×add-exp-log add-cbrt-cube associate-/l*
3×pow1 cbrt-undiv frac-2neg div-exp clear-num add-log-exp
1×frac-sub sub-div
Counts
3 → 165
Calls
3 calls:
5.0ms
(/ t (- y z))
5.0ms
(/ z (- y z))
72.0ms
(/ x (- (/ t (- y z)) (/ z (- y z))))

series176.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(/ t (- y z))
46.0ms
(/ z (- y z))
103.0ms
(/ x (- (/ t (- y z)) (/ z (- y z))))

simplify49.0ms

Iterations

Useful iterations: 0 (7.0ms)

IterNodesCost
02642770