Details

sample25.0ms

Algorithm

intervals

Results

14.0ms

292×

body

valid

simplify130.0ms

Counts

1 → 1

Iterations

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.9b

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (+ (/ x y) 1.0))
6.4b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite65.0ms

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:

37.0ms	(* x (+ (/ x y) 1.0))
27.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series89.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(* x (+ (/ x y) 1.0))
58.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify1.0s

Counts

60 → 60

Iterations

Iter	Nodes
done	5004
2	1411
1	329
0	106

prune343.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize17.0ms

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))

rewrite99.0ms

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:

50.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
38.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series170.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
110.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify1.6s

Counts

156 → 156

Iterations

Iter	Nodes
done	5003
2	2128
1	567
0	210

prune711.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (+ (/ x y) 1.0))
0.2b	(/ 1 (/ (+ x 1.0) (* x (+ (/ x y) 1.0))))
6.4b	(/ (+ x 1.0) (* x (+ (/ x y) 1.0)))

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

50×	`times-frac`
40×	`*-un-lft-identity`
31×	`add-exp-log`
28×	`add-sqr-sqrt`
26×	`add-cube-cbrt`
19×	`add-cbrt-cube`
14×	`div-exp`
12×	`associate-*r/`
11×	`associate-/r*` `associate-/r/`
7×	`cbrt-undiv` `flip3-+` `flip-+` `distribute-lft-out` `associate-/l*`
6×	`pow1` `div-inv`
5×	`prod-exp`
4×	`associate-r`
3×	`expm1-log1p-u` `rec-exp` `1-exp` `associate-l` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `*-commutative` `pow-flip` `inv-pow` `unswap-sqr`

Counts

3 → 124

Calls

3 calls:

50.0ms	(* x (+ (/ x y) 1.0))
65.0ms	(/ 1 (/ (+ x 1.0) (* x (+ (/ x y) 1.0))))
30.0ms	(/ (+ x 1.0) (* x (+ (/ x y) 1.0)))

series225.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(* x (+ (/ x y) 1.0))
59.0ms	(/ 1 (/ (+ x 1.0) (* x (+ (/ x y) 1.0))))
139.0ms	(/ (+ x 1.0) (* x (+ (/ x y) 1.0)))

simplify1.7s

Counts

133 → 133

Iterations

Iter	Nodes
done	5002
2	2063
1	520
0	190

prune413.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x 1.0) x)
0.1b	(/ (/ (+ x 1.0) x) (+ (/ x y) 1.0))
0.2b	(/ 1 (/ (/ (+ x 1.0) x) (+ (/ x y) 1.0)))

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

794×	`times-frac`
632×	`*-un-lft-identity`
336×	`add-sqr-sqrt` `add-cube-cbrt`
148×	`distribute-lft-out`
77×	`associate-/r*`
31×	`add-exp-log`
28×	`div-inv`
23×	`associate-/l*`
19×	`add-cbrt-cube` `div-exp`
11×	`associate-/r/`
10×	`cbrt-undiv`
6×	`flip3-+` `flip-+`
4×	`pow1`
3×	`expm1-log1p-u` `rec-exp` `clear-num` `frac-2neg` `1-exp` `log1p-expm1-u` `add-log-exp` `associate-/l/`
1×	`pow-flip` `inv-pow`

Counts

3 → 448

Calls

3 calls:

15.0ms	(/ (+ x 1.0) x)
43.0ms	(/ (/ (+ x 1.0) x) (+ (/ x y) 1.0))
52.0ms	(/ 1 (/ (/ (+ x 1.0) x) (+ (/ x y) 1.0)))

series204.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(/ (+ x 1.0) x)
96.0ms	(/ (/ (+ x 1.0) x) (+ (/ x y) 1.0))
48.0ms	(/ 1 (/ (/ (+ x 1.0) x) (+ (/ x y) 1.0)))

simplify2.5s

Counts

457 → 457

Iterations

Iter	Nodes
done	5006
2	4184
1	1317
0	479

prune1.8s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes117.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	10
1	10
0	8

end0.0ms

sample761.0ms

Algorithm

intervals

Results

541.0ms

9134×

body

valid