Details

Time bar (total: 15.5s)

sample42.0ms

Algorithm
intervals
Results
27.0ms368×body80valid

simplify324.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize31.0ms

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))
0.2b
(* (* z 3.0) y)
7.5b
(/ t (* (* z 3.0) y))

rewrite162.0ms

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:
104.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
8.0ms
(/ y (* z 3.0))
17.0ms
(* (* z 3.0) y)
29.0ms
(/ t (* (* z 3.0) y))

series197.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
23.0ms
(/ y (* z 3.0))
27.0ms
(* (* z 3.0) y)
38.0ms
(/ t (* (* z 3.0) y))

simplify1.3s

Counts
127 → 127
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01841873
14921735
220431473
done50001458

prune474.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

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))
4.2b
(/ (/ t (* z 3.0)) y)

rewrite193.0ms

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:
147.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
8.0ms
(/ t (* z 3.0))
8.0ms
(/ y (* z 3.0))
20.0ms
(/ (/ t (* z 3.0)) y)

series228.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
34.0ms
(/ t (* z 3.0))
35.0ms
(/ y (* z 3.0))
35.0ms
(/ (/ t (* z 3.0)) y)

simplify1.7s

Counts
155 → 155
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02302245
15712093
218561829
done50001813

prune669.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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)
4.2b
(/ (/ t (* z 3.0)) y)

rewrite368.0ms

Algorithm
rewrite-expression-head
Rules
312×times-frac
222×add-sqr-sqrt
220×*-un-lft-identity
213×add-cube-cbrt
131×associate-+l+
129×prod-diff
23×add-exp-log add-cbrt-cube div-inv associate-/l*
10×cbrt-undiv div-exp
9×add-log-exp
7×fma-def associate-/r*
4×pow1 expm1-log1p-u log1p-expm1-u
3×frac-2neg clear-num difference-of-squares
2×frac-add prod-exp sum-log cbrt-unprod associate-/l/ distribute-lft-out distribute-lft-out--
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log flip-- flip-+
Counts
4 → 302
Calls
4 calls:
301.0ms
(+ (- x (/ (/ y z) 3.0)) (/ (/ t (* z 3.0)) y))
10.0ms
(/ t (* z 3.0))
17.0ms
(/ (/ y z) 3.0)
15.0ms
(/ (/ t (* z 3.0)) y)

series195.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(+ (- x (/ (/ y z) 3.0)) (/ (/ t (* z 3.0)) y))
21.0ms
(/ t (* z 3.0))
36.0ms
(/ (/ y z) 3.0)
40.0ms
(/ (/ t (* z 3.0)) y)

simplify2.9s

Counts
314 → 314
Iterations

Useful iterations: done (2.9s)

IterNodesCost
04807692
112487216
240985851
done50005572

prune1.7s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

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)
0.2b
(/ (/ t z) 3.0)
4.2b
(/ (/ (/ t z) 3.0) y)

rewrite522.0ms

Algorithm
rewrite-expression-head
Rules
744×times-frac
430×add-sqr-sqrt
428×*-un-lft-identity
421×add-cube-cbrt
131×associate-+l+
129×prod-diff
69×associate-/l*
39×div-inv
23×add-exp-log add-cbrt-cube
12×cbrt-undiv div-exp
9×associate-/r* add-log-exp
7×fma-def
4×pow1 expm1-log1p-u log1p-expm1-u
3×frac-2neg clear-num associate-/l/ difference-of-squares
2×frac-add sum-log distribute-lft-out distribute-lft-out--
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log flip-- flip-+
Counts
4 → 495
Calls
4 calls:
381.0ms
(+ (- x (/ (/ y z) 3.0)) (/ (/ (/ t z) 3.0) y))
22.0ms
(/ (/ y z) 3.0)
23.0ms
(/ (/ t z) 3.0)
23.0ms
(/ (/ (/ t z) 3.0) y)

series269.0ms

Counts
4 → 12
Calls
4 calls:
134.0ms
(+ (- x (/ (/ y z) 3.0)) (/ (/ (/ t z) 3.0) y))
36.0ms
(/ (/ y z) 3.0)
47.0ms
(/ (/ t z) 3.0)
52.0ms
(/ (/ (/ t z) 3.0) y)

simplify1.3s

Counts
507 → 507
Iterations

Useful iterations: done (1.3s)

IterNodesCost
078711164
1194010438
done50019067

prune2.8s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

regimes5.0ms