Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify24.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
0.0b	(/ (* x y) 2.0)
6.2b	(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 69

Calls

3 calls:

30.0ms	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
10.0ms	(/ (* x y) 2.0)
23.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

series152.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
22.0ms	(/ (* x y) 2.0)
88.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify563.0ms

Counts: 78 → 78

prune235.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
0.0b	(/ (* x y) 2.0)
0.1b	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
6.1b	(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite196.0ms

Algorithm

rewrite-expression-head

Rules

117×	`times-frac`
101×	`*-un-lft-identity`
78×	`add-sqr-sqrt`
64×	`add-cube-cbrt`
22×	`add-exp-log` `associate-/r*`
16×	`add-cbrt-cube` `distribute-lft-out`
10×	`div-exp`
8×	`div-inv` `associate-/l*`
6×	`cbrt-undiv` `add-log-exp`
5×	`pow1` `difference-of-squares`
3×	`frac-2neg` `clear-num`
2×	`rec-exp` `1-exp` `associate-/l/` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `pow-flip` `flip3-+` `diff-log` `prod-exp` `associate-/r/` `flip--` `cbrt-unprod` `flip-+` `inv-pow`

Counts

4 → 161

Calls

4 calls:

66.0ms	(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
15.0ms	(/ (* x y) 2.0)
40.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
63.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

series250.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
26.0ms	(/ (* x y) 2.0)
92.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
74.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify1.0s

Counts: 173 → 173

prune302.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ 1 (* (+ 1.0 (/ (* x y) 2.0)) (/ 1 y))))
0.0b	(/ (* x y) 2.0)
0.1b	(/ 1 (* (+ 1.0 (/ (* x y) 2.0)) (/ 1 y)))
6.2b	(* (+ 1.0 (/ (* x y) 2.0)) (/ 1 y))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-exp-log`
25×	`add-sqr-sqrt`
23×	`add-cbrt-cube`
22×	`*-un-lft-identity`
20×	`div-exp`
17×	`times-frac` `prod-exp`
16×	`add-cube-cbrt`
13×	`associate-r`
9×	`pow1` `rec-exp` `1-exp`
7×	`cbrt-undiv`
6×	`associate-/r/` `add-log-exp`
5×	`cbrt-unprod`
4×	`frac-times` `flip3-+` `associate-l` `associate-l/` `associate-/r` `flip-+` `div-inv` `associate-/l*`
3×	`unswap-sqr`
2×	`pow-flip` `frac-2neg` `associate-*r/` `pow-prod-down` `clear-num` `un-div-inv` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `diff-log` `*-commutative` `flip--` `distribute-lft-out` `inv-pow` `difference-of-squares`

Counts

4 → 121

Calls

4 calls:

18.0ms	(- x (/ 1 (* (+ 1.0 (/ (* x y) 2.0)) (/ 1 y))))
10.0ms	(/ (* x y) 2.0)
31.0ms	(/ 1 (* (+ 1.0 (/ (* x y) 2.0)) (/ 1 y)))
42.0ms	(* (+ 1.0 (/ (* x y) 2.0)) (/ 1 y))

series230.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(- x (/ 1 (* (+ 1.0 (/ (* x y) 2.0)) (/ 1 y))))
29.0ms	(/ (* x y) 2.0)
88.0ms	(/ 1 (* (+ 1.0 (/ (* x y) 2.0)) (/ 1 y)))
52.0ms	(* (+ 1.0 (/ (* x y) 2.0)) (/ 1 y))

simplify1.2s

Counts: 133 → 133

prune280.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- 1.0 (/ (* x y) 2.0)) y)
0.2b	(* (/ (* x y) 2.0) (/ (* x y) 2.0))
0.4b	(/ 1 (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))
17.9b	(* (/ 1 (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (* (- 1.0 (/ (* x y) 2.0)) y))

rewrite214.0ms

Algorithm

rewrite-expression-head

Rules

68×	`add-exp-log`
56×	`add-cbrt-cube`
37×	`add-sqr-sqrt`
36×	`times-frac`
33×	`*-un-lft-identity`
31×	`add-cube-cbrt`
30×	`associate-l`
28×	`prod-exp`
22×	`cbrt-unprod`
19×	`pow1`
18×	`div-exp`
15×	`cbrt-undiv`
11×	`associate-r`
8×	`associate-*l/` `difference-of-squares`
7×	`swap-sqr`
6×	`div-inv`
5×	`flip3--` `pow-prod-down` `flip--`
4×	`associate-/r*` `associate-/r/` `add-log-exp`
3×	`frac-times` `rec-exp` `1-exp` `associate-r/` `-commutative` `associate-/l*`
2×	`unswap-sqr`
1×	`pow2` `pow-flip` `frac-2neg` `pow-plus` `clear-num` `pow-sqr` `pow-prod-up` `distribute-lft-out--` `inv-pow`

Counts

4 → 161

Calls

4 calls:

56.0ms	(* (- 1.0 (/ (* x y) 2.0)) y)
34.0ms	(* (/ (* x y) 2.0) (/ (* x y) 2.0))
29.0ms	(/ 1 (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))
89.0ms	(* (/ 1 (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (* (- 1.0 (/ (* x y) 2.0)) y))

series311.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(* (- 1.0 (/ (* x y) 2.0)) y)
41.0ms	(* (/ (* x y) 2.0) (/ (* x y) 2.0))
51.0ms	(/ 1 (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))
134.0ms	(* (/ 1 (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (* (- 1.0 (/ (* x y) 2.0)) y))

simplify2.1s

Counts: 173 → 173

prune503.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes36.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.9s

end0.0ms

sample688.0ms

Algorithm

intervals

Results

422.0ms	7999×	body	80	valid
0.0ms	1×	body	1280	valid