Details

Time bar (total: 5.7s)

sample25.0ms

Algorithm
intervals
Results
12.0ms342×body80valid

simplify760.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1209
2419
3579
4769
51109
61669
72209
83199
94239
104799
115009
125109
done5109

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
7×add-sqr-sqrt
6×add-exp-log times-frac add-cbrt-cube associate-/l*
4×distribute-lft-out--
3×add-cube-cbrt
2×cbrt-undiv div-exp associate-/l/ distribute-lft-out difference-of-squares
1×pow1 expm1-log1p-u flip3-- frac-2neg div-sub prod-exp clear-num associate-/r* flip-- cbrt-unprod log1p-expm1-u div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
99.0ms
(/ (- (+ x y) z) (* t 2.0))

series64.0ms

Counts
1 → 3
Calls
1 calls:
64.0ms
(/ (- (+ x y) z) (* t 2.0))

simplify2.0s

Counts
35 → 35
Iterations

Useful iterations: 3 (870.0ms)

IterNodesCost
080438
1206430
2730374
33341372
done5000372

prune99.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite527.0ms

Algorithm
rewrite-expression-head
Rules
64×times-frac
63×*-un-lft-identity
56×prod-diff
38×add-sqr-sqrt
36×add-cube-cbrt
19×div-inv
11×distribute-lft-out
8×fma-neg
7×add-exp-log add-cbrt-cube
4×associate-/l* add-log-exp
3×distribute-lft-out--
2×pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u associate-/l/
1×sub-neg flip3-- distribute-rgt-out-- frac-2neg flip3-+ diff-log prod-exp clear-num associate-/r* frac-sub flip-- cbrt-unprod flip-+ sub-div difference-of-squares
Counts
2 → 112
Calls
2 calls:
424.0ms
(/ (+ x y) (* t 2.0))
97.0ms
(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))

series134.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(/ (+ x y) (* t 2.0))
67.0ms
(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))

simplify1.5s

Counts
118 → 118
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01893481
14762921
213652349
done50001689

prune225.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ x y) (+ x y))
0.0b
(* (* t 2.0) (+ (+ x y) z))
4.1b
(- (* (+ x y) (+ x y)) (* z z))
33.4b
(/ (- (* (+ x y) (+ x y)) (* z z)) (* (* t 2.0) (+ (+ x y) z)))

rewrite271.0ms

Algorithm
rewrite-expression-head
Rules
30×*-un-lft-identity
20×add-exp-log add-cbrt-cube
16×pow1
13×add-sqr-sqrt
11×add-cube-cbrt
9×associate-*r* distribute-lft-out
8×flip3-+ flip-+
7×prod-exp cbrt-unprod
6×associate-*r/ swap-sqr add-log-exp
5×associate-*l*
4×expm1-log1p-u frac-times times-frac pow-prod-down log1p-expm1-u associate-/l*
3×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp difference-of-squares
2×flip3-- associate-*l/ associate--l+ associate-/r/ *-commutative flip-- associate-/l/
1×pow2 sub-neg frac-2neg pow-plus fma-neg diff-log div-sub prod-diff clear-num associate-/r* pow-sqr pow-prod-up div-inv unswap-sqr
Counts
4 → 119
Calls
4 calls:
37.0ms
(* (+ x y) (+ x y))
86.0ms
(* (* t 2.0) (+ (+ x y) z))
33.0ms
(- (* (+ x y) (+ x y)) (* z z))
111.0ms
(/ (- (* (+ x y) (+ x y)) (* z z)) (* (* t 2.0) (+ (+ x y) z)))

series1.0ms