Details

sample26.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify15.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.5b

localize15.0ms

Local error

Found 1 expressions with local error:

13.2b

(/ (* (* x 2.0) y) (- x y))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`times-frac` `associate-/r*`
3×	`cbrt-undiv` `add-cube-cbrt` `div-exp` `prod-exp` `cbrt-unprod`
2×	`associate-/r/` `distribute-lft-out--` `difference-of-squares`
1×	`pow1` `flip3--` `frac-2neg` `clear-num` `flip--` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

34.0ms

(/ (* (* x 2.0) y) (- x y))

series88.0ms

Counts

1 → 3

Calls

1 calls:

88.0ms

(/ (* (* x 2.0) y) (- x y))

simplify37.0ms

Counts: 32 → 32

prune80.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.3b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x y) y)
7.1b	(/ (* x 2.0) (/ (- x y) y))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

64×	`times-frac`
50×	`add-sqr-sqrt` `*-un-lft-identity`
30×	`add-cube-cbrt`
22×	`associate-/r*`
16×	`add-exp-log` `add-cbrt-cube`
10×	`distribute-lft-out--` `difference-of-squares`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/l*`
4×	`div-inv`
2×	`pow1` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l/` `add-log-exp`
1×	`flip3--` `div-sub` `associate-/r/` `flip--`

Counts

2 → 96

Calls

2 calls:

26.0ms	(/ (- x y) y)
34.0ms	(/ (* x 2.0) (/ (- x y) y))

series127.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(/ (- x y) y)
92.0ms	(/ (* x 2.0) (/ (- x y) y))

simplify39.0ms

Counts: 102 → 102

prune240.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- x y))
6.7b	(* (* x 2.0) (/ y (- x y)))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt` `*-un-lft-identity`
30×	`times-frac`
21×	`add-cube-cbrt` `associate-r`
16×	`add-exp-log` `add-cbrt-cube`
7×	`pow1` `distribute-lft-out--` `difference-of-squares`
6×	`prod-exp` `cbrt-unprod`
5×	`associate-/r*`
4×	`associate-/r/`
3×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/l*`
2×	`flip3--` `flip--` `div-inv` `add-log-exp`
1×	`frac-2neg` `associate-r/` `associate-l` `clear-num` `-commutative`

Counts

2 → 78

Calls

2 calls:

24.0ms	(/ y (- x y))
58.0ms	(* (* x 2.0) (/ y (- x y)))

series162.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(/ y (- x y))
92.0ms	(* (* x 2.0) (/ y (- x y)))

simplify48.0ms

Counts: 84 → 84

prune213.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (- x y))
8.1b	(* (/ x (- x y)) (* y 2.0))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt` `*-un-lft-identity`
30×	`times-frac`
21×	`add-cube-cbrt` `associate-l`
16×	`add-exp-log` `add-cbrt-cube`
7×	`pow1` `distribute-lft-out--` `difference-of-squares`
6×	`prod-exp` `cbrt-unprod`
5×	`associate-/r*`
4×	`associate-/r/`
3×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/l*`
2×	`flip3--` `flip--` `div-inv` `add-log-exp`
1×	`frac-2neg` `associate-r` `associate-l/` `clear-num` `-commutative`

Counts

2 → 78

Calls

2 calls:

21.0ms	(/ x (- x y))
75.0ms	(* (/ x (- x y)) (* y 2.0))

series156.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(/ x (- x y))
97.0ms	(* (/ x (- x y)) (* y 2.0))

simplify36.0ms

Counts: 84 → 84

prune225.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes54.0ms

Accuracy

-1.3% (7.1b remaining)

Error of 7.1b against oracle of 0.0b and baseline of 7.0b

bsearch72.0ms

Steps

Iters	Range		Point
10	1.2073698495971617e+61	3.217811591970086e+74	1.3808383341677658e+61
9	-0.004834265868451706	-2.8230244090247016e-09	-9.265176501060394e-08

simplify40.0ms

end0.0ms

sample660.0ms

Algorithm

intervals

Results

404.0ms

8000×

body

valid