Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify23.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
20×	`times-frac`
12×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`associate-/l*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/r*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-sub` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 46

Calls

1 calls:

32.0ms

(/ (- x y) (+ x y))

series89.0ms

Counts

1 → 3

Calls

1 calls:

89.0ms

(/ (- x y) (+ x y))

simplify691.0ms

Counts: 49 → 49

prune100.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (exp (/ (- x y) (+ x y))))
0.0b	(/ (- x y) (+ x y))
0.0b	(exp (/ (- x y) (+ x y)))

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

93×	`*-un-lft-identity`
61×	`add-sqr-sqrt`
60×	`times-frac`
52×	`exp-prod`
35×	`add-cube-cbrt`
27×	`log-pow`
16×	`distribute-lft-out`
13×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-/r/`
5×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
4×	`pow1` `associate-/r*` `add-log-exp`
3×	`log-prod` `flip3-+` `div-sub` `flip-+` `div-inv`
2×	`exp-diff` `associate-/l/`
1×	`cbrt-undiv` `log-div` `flip3--` `frac-2neg` `div-exp` `rem-log-exp` `clear-num` `flip--` `rem-exp-log`

Counts

3 → 120

Calls

3 calls:

63.0ms	(log (exp (/ (- x y) (+ x y))))
38.0ms	(/ (- x y) (+ x y))
38.0ms	(exp (/ (- x y) (+ x y)))

series236.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(log (exp (/ (- x y) (+ x y))))
78.0ms	(/ (- x y) (+ x y))
86.0ms	(exp (/ (- x y) (+ x y)))

simplify775.0ms

Counts: 129 → 129

prune338.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- x y) (+ x y))
0.0b	(/ (- x y) (+ x y))
0.0b	(/ (- x y) (+ x y))
0.0b	(* (* (cbrt (/ (- x y) (+ x y))) (cbrt (/ (- x y) (+ x y)))) (cbrt (/ (- x y) (+ x y))))

rewrite251.0ms

Algorithm

rewrite-expression-head

Rules

132×	`*-un-lft-identity`
90×	`add-sqr-sqrt`
81×	`times-frac`
48×	`add-cube-cbrt`
29×	`associate-r`
28×	`cbrt-prod`
23×	`pow1` `distribute-lft-out`
19×	`distribute-lft-out--` `difference-of-squares`
15×	`add-exp-log` `associate-/l*`
12×	`cbrt-div` `associate-/r*`
11×	`add-cbrt-cube`
9×	`pow1/3` `pow-prod-up`
8×	`associate-/r/`
6×	`pow-plus` `associate-/l/`
5×	`frac-times` `pow-prod-down` `associate-*l/`
4×	`flip3-+` `flip-+` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `associate-*r/` `div-exp` `prod-exp` `clear-num` `pow-sqr` `flip--` `cbrt-unprod` `unswap-sqr`
2×	`pow2`
1×	`associate-l` `pow3` `*-commutative`

Counts

4 → 204

Calls

4 calls:

24.0ms	(/ (- x y) (+ x y))
23.0ms	(/ (- x y) (+ x y))
22.0ms	(/ (- x y) (+ x y))
171.0ms	(* (* (cbrt (/ (- x y) (+ x y))) (cbrt (/ (- x y) (+ x y)))) (cbrt (/ (- x y) (+ x y))))

series383.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(/ (- x y) (+ x y))
88.0ms	(/ (- x y) (+ x y))
96.0ms	(/ (- x y) (+ x y))
120.0ms	(* (* (cbrt (/ (- x y) (+ x y))) (cbrt (/ (- x y) (+ x y)))) (cbrt (/ (- x y) (+ x y))))

simplify1.2s

Counts: 216 → 216

prune471.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x y)) (cbrt (+ x y)))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

39.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
4.0ms	(cbrt (+ x y))
4.0ms	(cbrt (+ x y))
4.0ms	(cbrt (+ x y))

series627.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
158.0ms	(cbrt (+ x y))
134.0ms	(cbrt (+ x y))
134.0ms	(cbrt (+ x y))

simplify1.4s

Counts: 107 → 107

prune343.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes82.0ms

Accuracy

22.6% (0.0b remaining)

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

bsearch0.0ms

simplify388.0ms

end0.0ms

sample567.0ms

Algorithm

intervals

Results

310.0ms

8000×

body

valid