Details

sample23.0ms

Algorithm

intervals

Results

11.0ms

286×

body

valid

simplify801.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.3b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.1b	(* x (+ (/ x y) 1.0))
7.8b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

17.0ms	(+ (/ x y) 1.0)
72.0ms	(* x (+ (/ x y) 1.0))
53.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series97.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(+ (/ x y) 1.0)
33.0ms	(* x (+ (/ x y) 1.0))
50.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify613.0ms

Counts: 71 → 71

prune173.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite455.0ms

Algorithm

rewrite-expression-head

Rules

158×	`*-un-lft-identity`
146×	`times-frac`
72×	`add-sqr-sqrt` `add-cube-cbrt`
43×	`distribute-lft-out`
26×	`associate-/r*`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
7×	`flip3-+` `flip-+` `associate-/l*`
6×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `sum-log`

Counts

3 → 158

Calls

3 calls:

23.0ms	(+ (/ x y) 1.0)
364.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
55.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series173.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(+ (/ x y) 1.0)
53.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
99.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify725.0ms

Counts: 167 → 167

prune350.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))
0.3b	(cbrt (+ (/ x y) 1.0))
0.3b	(cbrt (+ (/ x y) 1.0))
0.3b	(cbrt (+ (/ x y) 1.0))

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
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 → 95

Calls

4 calls:

110.0ms	(* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))
11.0ms	(cbrt (+ (/ x y) 1.0))
12.0ms	(cbrt (+ (/ x y) 1.0))
20.0ms	(cbrt (+ (/ x y) 1.0))

series1.3s

Counts

4 → 12

Calls

4 calls:

323.0ms	(* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))
328.0ms	(cbrt (+ (/ x y) 1.0))
332.0ms	(cbrt (+ (/ x y) 1.0))
309.0ms	(cbrt (+ (/ x y) 1.0))

simplify929.0ms

Counts: 107 → 107

prune381.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ (/ x y) 1.0))
0.3b	(cbrt (+ (/ x y) 1.0))
0.3b	(cbrt (+ (/ x y) 1.0))
0.3b	(cbrt (+ (/ x y) 1.0))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod` `*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

4 → 56

Calls

4 calls:

10.0ms	(cbrt (+ (/ x y) 1.0))
10.0ms	(cbrt (+ (/ x y) 1.0))
14.0ms	(cbrt (+ (/ x y) 1.0))
15.0ms	(cbrt (+ (/ x y) 1.0))

series1.3s

Counts

4 → 12

Calls

4 calls:

353.0ms	(cbrt (+ (/ x y) 1.0))
342.0ms	(cbrt (+ (/ x y) 1.0))
339.0ms	(cbrt (+ (/ x y) 1.0))
267.0ms	(cbrt (+ (/ x y) 1.0))

simplify833.0ms

Counts: 68 → 68

prune385.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes48.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify842.0ms

end0.0ms

sample704.0ms

Algorithm

intervals

Results

450.0ms

9073×

body

valid