Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

264×

body

valid

simplify19.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`times-frac`
13×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
5×	`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-sub` `div-exp` `clear-num` `div-inv` `add-log-exp`

Counts

1 → 52

Calls

1 calls:

24.0ms

(/ (- x y) (- z y))

series69.0ms

Counts

1 → 3

Calls

1 calls:

69.0ms

(/ (- x y) (- z y))

simplify765.0ms

Counts: 55 → 55

prune147.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 74

Calls

2 calls:

11.0ms	(/ x (- z y))
18.0ms	(/ y (- z y))

series112.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(/ x (- z y))
62.0ms	(/ y (- z y))

simplify753.0ms

Counts: 80 → 80

prune216.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z y) x)
0.0b	(/ y (- z y))
1.3b	(/ 1 (/ (- z y) x))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

147×	`times-frac`
119×	`add-sqr-sqrt` `*-un-lft-identity`
79×	`add-cube-cbrt`
27×	`associate-/r*`
20×	`distribute-lft-out--` `difference-of-squares`
18×	`add-exp-log`
12×	`add-cbrt-cube`
11×	`associate-/l*`
9×	`div-exp`
7×	`div-inv`
5×	`cbrt-undiv`
4×	`pow1`
3×	`frac-2neg` `clear-num` `associate-/r/` `add-log-exp`
2×	`rec-exp` `flip3--` `1-exp` `flip--` `associate-/l/`
1×	`pow-flip` `div-sub` `inv-pow`

Counts

3 → 175

Calls

3 calls:

22.0ms	(/ (- z y) x)
19.0ms	(/ y (- z y))
34.0ms	(/ 1 (/ (- z y) x))

series181.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(/ (- z y) x)
50.0ms	(/ y (- z y))
101.0ms	(/ 1 (/ (- z y) x))

simplify750.0ms

Counts: 184 → 184

prune438.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (- z y)) (cbrt (- z y)))
0.6b	(cbrt (- z y))
0.6b	(cbrt (- z y))
0.6b	(cbrt (- z y))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
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 → 101

Calls

4 calls:

44.0ms	(* (cbrt (- z y)) (cbrt (- z y)))
4.0ms	(cbrt (- z y))
4.0ms	(cbrt (- z y))
4.0ms	(cbrt (- z y))

series794.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(* (cbrt (- z y)) (cbrt (- z y)))
220.0ms	(cbrt (- z y))
181.0ms	(cbrt (- z y))
211.0ms	(cbrt (- z y))

simplify1.5s

Counts: 113 → 113

prune425.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes58.0ms

Accuracy

7.5% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify4.3s

end0.0ms

sample704.0ms

Algorithm

intervals

Results

265.0ms

8360×

body

valid