Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify20.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
16×	`times-frac`
11×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`distribute-lft-out`
4×	`associate-/r` `associate-/l`
3×	`add-exp-log` `add-cbrt-cube`
2×	`flip3-+` `associate-/r/` `flip-+` `associate-/l/`
1×	`pow1` `cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `add-log-exp`

Counts

1 → 40

Calls

1 calls:

41.0ms

(/ (+ x y) (+ y 1.0))

series62.0ms

Counts

1 → 3

Calls

1 calls:

62.0ms

(/ (+ x y) (+ y 1.0))

simplify697.0ms

Counts: 43 → 43

prune96.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* y y) (* 1.0 1.0))
0.1b	(* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))
14.9b	(/ (+ x y) (- (* y y) (* 1.0 1.0)))

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity`
33×	`times-frac`
30×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
22×	`associate-l`
11×	`difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
9×	`distribute-lft-out`
5×	`pow1` `flip3--` `associate-r` `flip--` `add-log-exp`
4×	`associate-/r` `associate-/r/` `associate-/l`
3×	`sub-neg`
2×	`cbrt-undiv` `distribute-rgt-in` `frac-times` `distribute-lft-in` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `flip3-+` `diff-log` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `flip-+` `distribute-lft-out--`

Counts

3 → 104

Calls

3 calls:

13.0ms	(- (* y y) (* 1.0 1.0))
106.0ms	(* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))
49.0ms	(/ (+ x y) (- (* y y) (* 1.0 1.0)))

series217.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(- (* y y) (* 1.0 1.0))
72.0ms	(* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))
103.0ms	(/ (+ x y) (- (* y y) (* 1.0 1.0)))

simplify909.0ms

Counts: 113 → 113

prune298.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) y) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- 1.0)))
0.1b	(* (/ (+ x y) (- (* y y) (* 1.0 1.0))) y)
14.9b	(/ (+ x y) (- (* y y) (* 1.0 1.0)))
14.9b	(/ (+ x y) (- (* y y) (* 1.0 1.0)))

rewrite197.0ms

Algorithm

rewrite-expression-head

Rules

62×	`*-un-lft-identity`
49×	`times-frac`
39×	`add-sqr-sqrt`
34×	`add-cube-cbrt`
22×	`associate-l`
15×	`distribute-lft-out`
14×	`difference-of-squares`
13×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/r` `associate-/l`
6×	`pow1` `associate-/r/` `add-log-exp`
4×	`associate-/l/`
3×	`cbrt-undiv` `flip3--` `flip3-+` `div-exp` `associate-r` `associate-*l/` `flip--` `flip-+` `div-inv`
2×	`frac-2neg` `prod-exp` `clear-num` `distribute-rgt-neg-out` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `unsub-neg` `pow-prod-down` `frac-add` `sum-log` `*-commutative`

Counts

4 → 136

Calls

4 calls:

39.0ms	(+ (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) y) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- 1.0)))
63.0ms	(* (/ (+ x y) (- (* y y) (* 1.0 1.0))) y)
44.0ms	(/ (+ x y) (- (* y y) (* 1.0 1.0)))
42.0ms	(/ (+ x y) (- (* y y) (* 1.0 1.0)))

series445.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(+ (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) y) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- 1.0)))
88.0ms	(* (/ (+ x y) (- (* y y) (* 1.0 1.0))) y)
95.0ms	(/ (+ x y) (- (* y y) (* 1.0 1.0)))
99.0ms	(/ (+ x y) (- (* y y) (* 1.0 1.0)))

simplify999.0ms

Counts: 148 → 148

prune486.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (/ x y) (+ (* 1.0 (/ 1 (pow y 2))) 1)) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- 1.0)))
0.4b	(/ 1 (pow y 2))
3.1b	(+ (/ x y) (+ (* 1.0 (/ 1 (pow y 2))) 1))
14.9b	(/ (+ x y) (- (* y y) (* 1.0 1.0)))

rewrite438.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity`
40×	`times-frac`
31×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`add-log-exp`
15×	`add-exp-log`
12×	`unpow-prod-down` `associate-/r*`
9×	`sum-log`
8×	`frac-add` `add-cbrt-cube`
7×	`div-exp` `associate-/l*`
6×	`flip3-+` `flip-+` `distribute-lft-out`
5×	`difference-of-squares`
4×	`pow1` `associate-*l/` `unpow2` `sqr-pow`
3×	`pow-to-exp` `rec-exp` `1-exp` `pow-exp`
2×	`cbrt-undiv` `+-commutative` `frac-2neg` `clear-num` `associate-/r/` `distribute-rgt-neg-out` `div-inv` `associate-/l/`
1×	`associate-+l+` `associate-+r+` `flip3--` `pow-flip` `unsub-neg` `flip--` `inv-pow`

Counts

4 → 133

Calls

4 calls:

314.0ms	(+ (+ (/ x y) (+ (* 1.0 (/ 1 (pow y 2))) 1)) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- 1.0)))
9.0ms	(/ 1 (pow y 2))
65.0ms	(+ (/ x y) (+ (* 1.0 (/ 1 (pow y 2))) 1))
43.0ms	(/ (+ x y) (- (* y y) (* 1.0 1.0)))

series289.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(+ (+ (/ x y) (+ (* 1.0 (/ 1 (pow y 2))) 1)) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- 1.0)))
28.0ms	(/ 1 (pow y 2))
33.0ms	(+ (/ x y) (+ (* 1.0 (/ 1 (pow y 2))) 1))
95.0ms	(/ (+ x y) (- (* y y) (* 1.0 1.0)))

simplify1.3s

Counts: 145 → 145

prune515.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes58.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify15.0ms

end0.0ms

sample581.0ms

Algorithm

intervals

Results

301.0ms

8000×

body

valid