Details

Time bar (total: 14.3s)

sample53.0ms

Algorithm
intervals
Results
22.0ms348×body80valid

simplify222.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01115
12415
25415
39215
413715
515015
615915
717615
819715
920615
done20615

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.9b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
0.2b
(* (* z 3.0) y)
0.2b
(/ y (* z 3.0))
7.2b
(/ t (* (* z 3.0) y))

rewrite235.0ms

Algorithm
rewrite-expression-head
Rules
30×*-un-lft-identity
25×add-sqr-sqrt
23×add-exp-log add-cube-cbrt associate-+l+ add-cbrt-cube
21×prod-diff
15×times-frac
9×pow1 add-log-exp
7×prod-exp cbrt-unprod
6×associate-/l*
5×cbrt-undiv fma-def div-exp div-inv
4×expm1-log1p-u log1p-expm1-u
3×associate-*r* pow-prod-down
2×frac-2neg frac-add clear-num associate-/r* sum-log distribute-lft-out distribute-lft-out--
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log associate-*l* *-commutative flip-- flip-+ difference-of-squares
Counts
4 → 115
Calls
4 calls:
150.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
25.0ms
(* (* z 3.0) y)
15.0ms
(/ y (* z 3.0))
36.0ms
(/ t (* (* z 3.0) y))

series290.0ms

Counts
4 → 12
Calls
4 calls:
164.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
41.0ms
(* (* z 3.0) y)
39.0ms
(/ y (* z 3.0))
45.0ms
(/ t (* (* z 3.0) y))

simplify1.6s

Counts
127 → 127
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01841873
14921735
220381473
done50011458

prune618.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
0.2b
(/ y (* z 3.0))
0.3b
(/ t (* z 3.0))
3.7b
(/ (/ t (* z 3.0)) y)

rewrite225.0ms

Algorithm
rewrite-expression-head
Rules
48×times-frac
45×*-un-lft-identity
40×add-sqr-sqrt
38×add-cube-cbrt
23×add-exp-log associate-+l+ add-cbrt-cube
21×prod-diff
13×associate-/l*
10×div-inv
9×cbrt-undiv div-exp add-log-exp
5×fma-def associate-/r*
4×pow1 expm1-log1p-u log1p-expm1-u
3×frac-2neg prod-exp clear-num cbrt-unprod
2×frac-add sum-log distribute-lft-out distribute-lft-out--
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log flip-- flip-+ associate-/l/ difference-of-squares
Counts
4 → 143
Calls
4 calls:
158.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
28.0ms
(/ y (* z 3.0))
13.0ms
(/ t (* z 3.0))
16.0ms
(/ (/ t (* z 3.0)) y)

series231.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
36.0ms
(/ y (* z 3.0))
35.0ms
(/ t (* z 3.0))
41.0ms
(/ (/ t (* z 3.0)) y)

simplify1.9s

Counts
155 → 155
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02302245
15712093
218411829
done50011813

prune660.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (/ (/ (/ t z) 3.0) y))
0.2b
(/ (/ t z) 3.0)
0.2b
(/ y (* z 3.0))
3.7b
(/ (/ (/ t z) 3.0) y)

rewrite401.0ms

Algorithm
rewrite-expression-head
Rules
480×times-frac
253×*-un-lft-identity
248×add-sqr-sqrt
246×add-cube-cbrt
59×associate-/l*
26×div-inv
23×add-exp-log associate-+l+ add-cbrt-cube
21×prod-diff
11×cbrt-undiv div-exp
9×add-log-exp
7×associate-/r*
5×fma-def
4×pow1 expm1-log1p-u log1p-expm1-u
3×frac-2neg clear-num
2×frac-add sum-log associate-/l/ distribute-lft-out distribute-lft-out--
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log prod-exp flip-- cbrt-unprod flip-+ difference-of-squares
Counts
4 → 336
Calls
4 calls:
284.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ (/ t z) 3.0) y))
11.0ms
(/ (/ t z) 3.0)
8.0ms
(/ y (* z 3.0))
50.0ms
(/ (/ (/ t z) 3.0) y)

series275.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ (/ t z) 3.0) y))
46.0ms
(/ (/ t z) 3.0)
47.0ms
(/ y (* z 3.0))
46.0ms
(/ (/ (/ t z) 3.0) y)

simplify2.3s

Counts
348 → 348
Iterations

Useful iterations: done (2.3s)

IterNodesCost
05715717
113505315
237805043
done50015028

prune2.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ y (* z 3.0))
0.3b
(/ t (* z 3.0))
0.6b
(/ 1 (/ y (/ t (* z 3.0))))
3.8b
(/ y (/ t (* z 3.0)))

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
237×times-frac
107×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
57×add-exp-log
37×add-cbrt-cube
35×associate-/r*
32×div-exp
24×div-inv
18×cbrt-undiv
12×associate-/l*
6×prod-exp associate-/r/
5×pow1
4×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num cbrt-unprod log1p-expm1-u add-log-exp
1×pow-flip inv-pow
Counts
4 → 234
Calls
4 calls:
26.0ms
(/ y (* z 3.0))
17.0ms
(/ t (* z 3.0))
46.0ms
(/ 1 (/ y (/ t (* z 3.0))))
25.0ms
(/ y (/ t (* z 3.0)))

series173.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(/ y (* z 3.0))
30.0ms
(/ t (* z 3.0))
52.0ms
(/ 1 (/ y (/ t (* z 3.0))))
57.0ms
(/ y (/ t (* z 3.0)))

simplify1.9s

Counts
246 → 246
Iterations

Useful iterations: done (1.9s)

IterNodesCost
03393459
17543008
218942623
done50012561

prune801.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes4.0ms