Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

298×

body

valid

simplify14.0ms

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	(/ (fabs (- x y)) (fabs y))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
3×	`add-exp-log` `associate-/r` `add-cbrt-cube` `associate-/l`
1×	`pow1` `cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `add-log-exp`

Counts

1 → 27

Calls

1 calls:

5.0ms

(/ (fabs (- x y)) (fabs y))

series21.0ms

Counts

1 → 3

Calls

1 calls:

21.0ms

(/ (fabs (- x y)) (fabs y))

simplify1.2s

Counts: 30 → 30

prune68.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (fabs y) (fabs (- x y)))
0.1b	(/ 1 (/ (fabs y) (fabs (- x y))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
52×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`associate-/r*`
15×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv`
3×	`pow1`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `add-log-exp`
1×	`pow-flip` `associate-/r/` `inv-pow`

Counts

2 → 103

Calls

2 calls:

5.0ms	(/ (fabs y) (fabs (- x y)))
11.0ms	(/ 1 (/ (fabs y) (fabs (- x y))))

series22.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(/ (fabs y) (fabs (- x y)))
11.0ms	(/ 1 (/ (fabs y) (fabs (- x y))))

simplify444.0ms

Counts: 109 → 109

prune226.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (fabs (- x y)) (fabs y))
0.1b	(sqrt (/ (fabs (- x y)) (fabs y)))
0.1b	(sqrt (/ (fabs (- x y)) (fabs y)))
0.2b	(* (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

92×	`add-sqr-sqrt` `sqrt-prod`
71×	`times-frac`
58×	`add-cube-cbrt` `*-un-lft-identity`
21×	`pow1`
18×	`swap-sqr`
16×	`associate-r` `associate-l`
10×	`sqrt-pow1` `pow1/2`
9×	`unswap-sqr`
8×	`add-exp-log` `add-cbrt-cube`
7×	`div-inv`
6×	`sqrt-div`
5×	`pow-prod-up`
4×	`rem-sqrt-square` `add-log-exp`
3×	`pow-prod-down` `associate-/r` `pow-sqr` `associate-/l`
1×	`cbrt-undiv` `pow2` `frac-times` `frac-2neg` `pow-plus` `sqrt-unprod` `associate-r/` `div-exp` `associate-l/` `prod-exp` `clear-num` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 164

Calls

4 calls:

8.0ms	(/ (fabs (- x y)) (fabs y))
6.0ms	(sqrt (/ (fabs (- x y)) (fabs y)))
6.0ms	(sqrt (/ (fabs (- x y)) (fabs y)))
58.0ms	(* (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))))

series75.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(/ (fabs (- x y)) (fabs y))
20.0ms	(sqrt (/ (fabs (- x y)) (fabs y)))
30.0ms	(sqrt (/ (fabs (- x y)) (fabs y)))
15.0ms	(* (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))))

simplify749.0ms

Counts: 176 → 176

prune603.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (/ (fabs (- x y)) (fabs y)))
0.2b	(* (cbrt (pow (sqrt (/ (fabs (- x y)) (fabs y))) 3)) (sqrt (/ (fabs (- x y)) (fabs y))))
0.3b	(pow (sqrt (/ (fabs (- x y)) (fabs y))) 3)
6.0b	(cbrt (pow (sqrt (/ (fabs (- x y)) (fabs y))) 3))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

140×	`add-sqr-sqrt`
134×	`sqrt-prod`
100×	`cbrt-prod`
88×	`times-frac`
71×	`add-cube-cbrt` `*-un-lft-identity`
57×	`unpow-prod-down` `cube-prod`
41×	`associate-l`
27×	`unswap-sqr`
16×	`associate-r`
9×	`pow1`
8×	`div-inv`
7×	`add-exp-log` `sqrt-div`
6×	`add-cbrt-cube` `sqr-pow`
4×	`cube-div` `add-log-exp`
3×	`cube-mult` `pow-unpow` `cbrt-div` `pow-pow` `unpow3`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`frac-times` `pow-to-exp` `pow1/3` `associate-r/` `pow-prod-down` `associate-l/` `pow-exp` `prod-exp` `*-commutative` `sqrt-pow2` `rem-cbrt-cube` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 224

Calls

4 calls:

4.0ms	(sqrt (/ (fabs (- x y)) (fabs y)))
83.0ms	(* (cbrt (pow (sqrt (/ (fabs (- x y)) (fabs y))) 3)) (sqrt (/ (fabs (- x y)) (fabs y))))
11.0ms	(pow (sqrt (/ (fabs (- x y)) (fabs y))) 3)
12.0ms	(cbrt (pow (sqrt (/ (fabs (- x y)) (fabs y))) 3))

series131.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(sqrt (/ (fabs (- x y)) (fabs y)))
10.0ms	(* (cbrt (pow (sqrt (/ (fabs (- x y)) (fabs y))) 3)) (sqrt (/ (fabs (- x y)) (fabs y))))
68.0ms	(pow (sqrt (/ (fabs (- x y)) (fabs y))) 3)
29.0ms	(cbrt (pow (sqrt (/ (fabs (- x y)) (fabs y))) 3))

simplify814.0ms

Counts: 236 → 236

prune725.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes72.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify19.0ms

end0.0ms

sample609.0ms

Algorithm

intervals

Results

277.0ms

9197×

body

valid