Details

sample19.0ms

Algorithm

intervals

Results

9.0ms

295×

body

valid

simplify51.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.6b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (+ (/ x y) 1.0))
10.0b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 50

Calls

2 calls:

53.0ms	(* x (+ (/ x y) 1.0))
41.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series71.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(* x (+ (/ x y) 1.0))
45.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify40.0ms

Counts: 56 → 56

prune106.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite90.0ms

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-exp-log` `add-cbrt-cube`
7×	`associate-/l*`
6×	`flip3-+` `flip-+` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`

Counts

2 → 146

Calls

2 calls:

41.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
41.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series116.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
71.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify58.0ms

Counts: 152 → 152

prune261.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 81

Calls

2 calls:

53.0ms	(/ (+ (/ x y) 1.0) (+ x 1.0))
76.0ms	(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

series77.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ (+ (/ x y) 1.0) (+ x 1.0))
46.0ms	(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

simplify40.0ms

Counts: 87 → 87

prune140.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0)))) (cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0)))))
0.5b	(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))
0.5b	(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))
0.5b	(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `-un-lft-identity` `associate-r/`
7×	`cbrt-prod` `cbrt-div`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 64

Calls

4 calls:

15.0ms	(* (cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0)))) (cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0)))))
19.0ms	(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))
19.0ms	(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))
24.0ms	(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))

series893.0ms

Counts

4 → 12

Calls

4 calls:

251.0ms	(* (cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0)))) (cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0)))))
220.0ms	(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))
212.0ms	(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))
209.0ms	(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))

simplify123.0ms

Counts: 76 → 76

prune208.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes39.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample628.0ms

Algorithm

intervals

Results

398.0ms

9186×

body

valid