Details

Time bar (total: 16.5s)

sample43.0ms

Algorithm
intervals
Results
12.0ms188×body80valid
7.0ms27×body640valid
4.0ms19×body320valid
3.0ms10×body1280valid
1.0ms12×body160valid

simplify5.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11611
23511
37411
412311
521011
623211
724811
827511
932711
1034611
1135211
1236711
1338311
1447011
1556111
1681611
17111811
18152711
19160811
done160811

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- 1.0 x) y)
2.8b
(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
6.8b
(/ (* (- 1.0 x) y) (+ y 1.0))

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
13×add-sqr-sqrt
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*l* add-log-exp
4×times-frac associate-*l/ associate-/r*
3×flip3-- associate-*r* flip--
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ distribute-lft-out distribute-lft-out-- difference-of-squares
1×sub-neg frac-2neg flip3-+ diff-log pow-prod-down clear-num *-commutative flip-+ div-inv associate-/l* unswap-sqr
Counts
3 → 63
Calls
3 calls:
39.0ms
(* (- 1.0 x) y)
38.0ms
(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
55.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))

series209.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(* (- 1.0 x) y)
101.0ms
(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
72.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))

simplify1.5s

Counts
72 → 72
Iterations

Useful iterations: done (1.5s)

IterNodesCost
0128885
1335828
21274746
done5001744

prune197.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ y 1.0))
0.0b
(* (- 1.0 x) (/ y (+ y 1.0)))
2.8b
(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
28×add-sqr-sqrt
25×times-frac
21×add-cube-cbrt
18×associate-*r*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out
5×pow1 associate-*l* add-log-exp
4×associate-/r* associate-/r/
3×flip3-- flip-- associate-/l*
2×cbrt-undiv frac-times flip3-+ div-exp associate-*l/ prod-exp cbrt-unprod flip-+ div-inv unswap-sqr
1×sub-neg frac-2neg diff-log associate-*r/ pow-prod-down clear-num *-commutative distribute-lft-out-- difference-of-squares
Counts
3 → 88
Calls
3 calls:
20.0ms
(/ y (+ y 1.0))
59.0ms
(* (- 1.0 x) (/ y (+ y 1.0)))
6.0ms
(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

series219.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(/ y (+ y 1.0))
66.0ms
(* (- 1.0 x) (/ y (+ y 1.0)))
92.0ms
(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

simplify1.4s

Counts
97 → 97
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01571229
13951148
213871056
done50001054

prune321.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ 1.0 y))
0.3b
(- (+ x (/ 1.0 y)) (* 1.0 (/ x y)))

rewrite174.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×*-un-lft-identity
2×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt flip3-+ diff-log associate-*r/ sum-log frac-sub add-cbrt-cube flip-+
1×+-commutative sub-neg flip3-- associate--l+ flip-- distribute-lft-out
Counts
2 → 28
Calls
2 calls:
20.0ms
(+ x (/ 1.0 y))
153.0ms
(- (+ x (/ 1.0 y)) (* 1.0 (/ x y)))

series81.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(+ x (/ 1.0 y))
41.0ms
(- (+ x (/ 1.0 y)) (* 1.0 (/ x y)))

simplify2.4s

Counts
34 → 34
Iterations

Useful iterations: 3 (691.0ms)

IterNodesCost
064508
1181476
2638436
32910415
done5000415

prune143.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x (* (+ (- x) 1) (/ 1.0 y)))) (cbrt (+ x (* (+ (- x) 1) (/ 1.0 y)))))
8.1b
(cbrt (+ x (* (+ (- x) 1) (/ 1.0 y))))
8.1b
(cbrt (+ x (* (+ (- x) 1) (/ 1.0 y))))
8.1b
(cbrt (+ x (* (+ (- x) 1) (/ 1.0 y))))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
61.0ms
(* (cbrt (+ x (* (+ (- x) 1) (/ 1.0 y)))) (cbrt (+ x (* (+ (- x) 1) (/ 1.0 y)))))
6.0ms
(cbrt (+ x (* (+ (- x) 1) (/ 1.0 y))))
6.0ms
(cbrt (+ x (* (+ (- x) 1) (/ 1.0 y))))
6.0ms
(cbrt (+ x (* (+ (- x) 1) (/ 1.0 y))))

series868.0ms

Counts
4 → 12
Calls
4 calls:
271.0ms
(* (cbrt (+ x (* (+ (- x) 1) (/ 1.0 y)))) (cbrt (+ x (* (+ (- x) 1) (/ 1.0 y)))))
212.0ms
(cbrt (+ x (* (+ (- x) 1) (/ 1.0 y))))
190.0ms
(cbrt (+ x (* (+ (- x) 1) (/ 1.0 y))))
195.0ms
(cbrt (+ x (* (+ (- x) 1) (/ 1.0 y))))

simplify3.0s

Counts
99 → 99
Iterations

Useful iterations: done (3.0s)

IterNodesCost
01502829
13592615
210572226
334571996
done50011954

prune485.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.1b

regimes3.0ms