Details

sample19.0ms

Algorithm

intervals

Results

9.0ms

284×

body

valid

simplify186.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	203
1	19	203
2	28	203
3	43	203
4	55	203
5	70	203
6	81	203
7	100	203
8	113	203
9	119	203
10	123	203
11	127	203
12	128	203
done	128	203

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.9b

localize18.0ms

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))

rewrite114.0ms

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×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `log1p-expm1-u` `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 → 54

Calls

2 calls:

72.0ms	(* x (+ (/ x y) 1.0))
40.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series108.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(* x (+ (/ x y) 1.0))
69.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify1.4s

Counts

60 → 60

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	106	15141
1	329	13098
2	1411	12801
done	5004	12656

prune237.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

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))

rewrite105.0ms

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×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `log1p-expm1-u` `add-log-exp` `associate-/l/`

Counts

2 → 150

Calls

2 calls:

48.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
51.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series136.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
79.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify1.9s

Counts

156 → 156

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	210	62446
1	567	57142
2	2128	55676
done	5003	55513

prune598.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
25×	`add-sqr-sqrt` `times-frac`
20×	`add-cube-cbrt`
18×	`associate-l`
9×	`add-cbrt-cube` `add-exp-log`
8×	`distribute-lft-out`
4×	`pow1` `associate-/r` `flip3-+` `associate-r*` `associate-/r/` `flip-+`
3×	`associate-/l*`
2×	`expm1-log1p-u` `frac-times` `cbrt-undiv` `div-exp` `prod-exp` `associate-*r/` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `pow-prod-down` `associate-l/` `-commutative`

Counts

2 → 81

Calls

2 calls:

9.0ms	(/ x (+ x 1.0))
99.0ms	(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

series100.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(/ x (+ x 1.0))
57.0ms	(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

simplify2.7s

Counts

87 → 87

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	144	23726
1	515	20929
2	2385	20221
done	5016	20146

prune378.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x 1.0) x)
0.0b	(* (/ 1 (/ (+ x 1.0) x)) (+ (/ x y) 1.0))
0.1b	(/ 1 (/ (+ x 1.0) x))

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

198×	`times-frac`
157×	`*-un-lft-identity`
117×	`add-sqr-sqrt`
103×	`add-cube-cbrt`
53×	`associate-l`
35×	`add-exp-log`
26×	`distribute-lft-out`
19×	`associate-/r*` `add-cbrt-cube`
15×	`div-exp`
10×	`div-inv`
7×	`cbrt-undiv` `prod-exp` `associate-/l*`
6×	`pow1`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp` `associate-r`
3×	`expm1-log1p-u` `flip3-+` `cbrt-unprod` `flip-+` `log1p-expm1-u` `add-log-exp`
2×	`frac-times` `clear-num` `frac-2neg` `associate-*r/` `associate-/r/` `associate-/l/`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `associate-l/` `-commutative` `pow-flip` `inv-pow`

Counts

3 → 215

Calls

3 calls:

20.0ms	(/ (+ x 1.0) x)
88.0ms	(* (/ 1 (/ (+ x 1.0) x)) (+ (/ x y) 1.0))
13.0ms	(/ 1 (/ (+ x 1.0) x))

series162.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(/ (+ x 1.0) x)
57.0ms	(* (/ 1 (/ (+ x 1.0) x)) (+ (/ x y) 1.0))
43.0ms	(/ 1 (/ (+ x 1.0) x))

simplify420.0ms

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	275	72479