Details

sample24.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify10.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.2b

localize7.0ms

Local error

Found 1 expressions with local error:

14.7b

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

rewrite30.0ms

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:

29.0ms

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

series72.0ms

Counts

1 → 3

Calls

1 calls:

72.0ms

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

simplify31.0ms

Counts: 32 → 32

prune54.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- x y))
7.0b	(* (* x 2.0) (/ y (- x y)))

rewrite56.0ms

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:

12.0ms	(/ y (- x y))
41.0ms	(* (* x 2.0) (/ y (- x y)))

series115.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(/ y (- x y))
68.0ms	(* (* x 2.0) (/ y (- x y)))

simplify48.0ms

Counts: 84 → 84

prune140.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x y) y)
7.8b	(/ (* x 2.0) (/ (- x y) y))

rewrite44.0ms

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:

17.0ms	(/ (- x y) y)
22.0ms	(/ (* x 2.0) (/ (- x y) y))

series97.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(/ (- x y) y)
71.0ms	(/ (* x 2.0) (/ (- x y) y))

simplify48.0ms

Counts: 102 → 102

prune168.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (* x 2.0) (- x y))
7.3b	(* (/ (* x 2.0) (- x y)) y)

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 58

Calls

2 calls:

17.0ms	(/ (* x 2.0) (- x y))
38.0ms	(* (/ (* x 2.0) (- x y)) y)

series122.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(/ (* x 2.0) (- x y))
67.0ms	(* (/ (* x 2.0) (- x y)) y)

simplify34.0ms

Counts: 64 → 64

prune95.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes94.0ms

Accuracy

94.2% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 7.3b

bsearch59.0ms

Steps

Iters	Range		Point
9	2.634644807938767e+38	2.7760534762037382e+44	6.454028353291742e+38
6	-1.1961247865327984e+85	-2.7106654859603125e+84	-2.7432044255292434e+84

simplify1.0ms

end0.0ms

sample478.0ms

Algorithm

intervals

Results

293.0ms

8000×

body

valid