Details

sample32.0ms

Algorithm

intervals

Results

15.0ms

284×

body

valid

simplify188.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	203
1	19	203
2	26	203
3	39	203
4	47	203
5	62	203
6	73	203
7	92	203
8	97	203
9	103	203
10	107	203
11	111	203
12	112	203
done	112	203

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.9b

localize13.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (+ (/ x y) 1.0))
9.2b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
9×	`add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt`
4×	`pow1` `associate-/r` `times-frac` `associate-r` `associate-r/`
3×	`flip3-+` `associate-l` `flip-+` `distribute-lft-out`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `add-log-exp` `associate-/l/`
1×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `pow-prod-down` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 50

Calls

2 calls:

42.0ms	(* x (+ (/ x y) 1.0))
33.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series78.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(* x (+ (/ x y) 1.0))
48.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify1.4s

Counts

56 → 56

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	102	14169
1	321	12186
2	1347	11984
done	5005	11864

prune298.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
0.1b	(/ (+ x 1.0) (+ (/ x y) 1.0))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

155×	`*-un-lft-identity`
146×	`times-frac`
71×	`add-sqr-sqrt` `add-cube-cbrt`
42×	`distribute-lft-out`
26×	`associate-/r*`
11×	`associate-/r/`
9×	`add-cbrt-cube` `add-exp-log`
7×	`associate-/l*`
6×	`flip3-+` `flip-+` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `clear-num` `frac-2neg` `add-log-exp` `associate-/l/`

Counts

2 → 146

Calls

2 calls:

32.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
35.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series127.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
77.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify1.9s

Counts

152 → 152

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	206	61394
1	557	56190
2	2107	54929
done	5008	54766

prune599.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (+ (/ x y) 1.0) (+ 1.0 x))
0.2b	(* x (/ (+ (/ x y) 1.0) (+ 1.0 x)))

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
33×	`times-frac`
27×	`add-sqr-sqrt`
22×	`associate-r` `add-cube-cbrt`
18×	`distribute-lft-out`
9×	`add-cbrt-cube` `add-exp-log`
4×	`pow1` `associate-/r` `associate-/r/` `associate-/l`
3×	`flip3-+` `associate-l` `flip-+`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `-commutative`

Counts

2 → 81

Calls

2 calls:

72.0ms	(/ (+ (/ x y) 1.0) (+ 1.0 x))
101.0ms	(* x (/ (+ (/ x y) 1.0) (+ 1.0 x)))

series109.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/ (+ (/ x y) 1.0) (+ 1.0 x))
72.0ms	(* x (/ (+ (/ x y) 1.0) (+ 1.0 x)))

simplify1.3s

Counts

87 → 87

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	124	25542
1	347	22790
2	1213	22184
done	5001	22064

prune308.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
0.1b	(/ (+ x 1.0) (+ (/ x y) 1.0))
0.3b	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

812×	`times-frac`
619×	`*-un-lft-identity`
343×	`add-sqr-sqrt` `add-cube-cbrt`
138×	`distribute-lft-out`
77×	`associate-/r*`
35×	`associate-/r/`
31×	`add-exp-log`
29×	`associate-/l*`
23×	`div-inv`
19×	`add-cbrt-cube` `div-exp`
18×	`flip3-+` `flip-+`
10×	`cbrt-undiv`
4×	`pow1`
3×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `add-log-exp` `associate-/l/`
1×	`pow-flip` `inv-pow`

Counts

3 → 454

Calls

3 calls:

47.0ms	(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
45.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
54.0ms	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

series242.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
100.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
48.0ms	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

simplify1.2s

Iterations

Useful iterations: 0 (191.0ms)

Iter	Nodes	Cost
0	510	249125