Details

sample26.0ms

Algorithm

intervals

Results

13.0ms

301×

body

valid

simplify146.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.6b

localize14.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (+ (/ x y) 1.0))
8.1b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite94.0ms

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:

55.0ms	(* x (+ (/ x y) 1.0))
37.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series86.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(* x (+ (/ x y) 1.0))
54.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify1.0s

Counts

60 → 60

Iterations

Iter	Nodes
done	5004
2	1411
1	329
0	106

prune207.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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))

rewrite67.0ms

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:

28.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
33.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series120.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
71.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify1.5s

Counts

156 → 156

Iterations

Iter	Nodes
done	5003
2	2128
1	567
0	210

prune565.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

804×	`times-frac`
569×	`*-un-lft-identity`
325×	`add-sqr-sqrt` `add-cube-cbrt`
122×	`distribute-lft-out`
81×	`associate-/r/`
41×	`div-inv`
40×	`flip3-+` `flip-+`
31×	`add-exp-log`
26×	`associate-/r*`
24×	`associate-/l*`
19×	`add-cbrt-cube` `div-exp`
10×	`cbrt-undiv`
4×	`pow1`
3×	`expm1-log1p-u` `rec-exp` `clear-num` `frac-2neg` `1-exp` `log1p-expm1-u` `add-log-exp`
1×	`pow-flip` `inv-pow` `associate-/l/`

Counts

3 → 460

Calls

3 calls:

10.0ms	(/ x (+ x 1.0))
20.0ms	(/ 1 (+ (/ x y) 1.0))
57.0ms	(/ (/ x (+ x 1.0)) (/ 1 (+ (/ x y) 1.0)))

series128.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ x (+ x 1.0))
44.0ms	(/ 1 (+ (/ x y) 1.0))
50.0ms	(/ (/ x (+ x 1.0)) (/ 1 (+ (/ x y) 1.0)))

simplify1.6s

Counts

469 → 469

Iterations

Iter	Nodes
done	5003
1	1831
0	577

prune1.6s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite176.0ms

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×	`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 → 460

Calls

3 calls:

64.0ms	(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
41.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
42.0ms	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

series223.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
81.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
50.0ms	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

simplify2.2s

Counts

469 → 469

Iterations

Iter	Nodes
done	5001
2	3783
1	1431
0	516

prune1.6s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes118.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	10
1	10
0	8

end0.0ms

sample1.1s

Algorithm

intervals

Results

860.0ms

9190×

body

valid