Details

sample29.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
3.0ms	256×	pre	80	true
3.0ms	252×	pre	80	false

simplify42.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* a a) (* b b))
0.0b	(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
13.8b	(/ (- (* a a) (* b b)) (* a a))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `*-un-lft-identity`
5×	`add-log-exp`
4×	`pow1` `times-frac` `associate-/l*`
3×	`sqrt-prod` `difference-of-squares`
2×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `associate-/l/`
1×	`sub-neg` `rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `diff-log` `div-sub` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv`

Counts

3 → 52

Calls

3 calls:

9.0ms	(- (* a a) (* b b))
1.0ms	(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
32.0ms	(/ (- (* a a) (* b b)) (* a a))

series111.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(- (* a a) (* b b))
24.0ms	(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
54.0ms	(/ (- (* a a) (* b b)) (* a a))

simplify151.0ms

Counts: 61 → 61

prune154.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
0.0b	(/ (+ a b) a)
0.1b	(/ (- a b) a)
0.1b	(* (/ (+ a b) a) (/ (- a b) a))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

69×	`*-un-lft-identity`
68×	`add-sqr-sqrt`
58×	`times-frac`
41×	`add-cube-cbrt`
20×	`add-exp-log` `add-cbrt-cube`
19×	`associate-r`
16×	`associate-l`
9×	`associate-/l*`
7×	`pow1` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
6×	`cbrt-undiv` `div-exp` `associate-/r*`
4×	`prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
3×	`sqrt-prod`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `rem-sqrt-square` `flip3--` `sqrt-pow1` `flip3-+` `pow1/2` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `flip--` `flip-+`

Counts

4 → 143

Calls

4 calls:

1.0ms	(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
20.0ms	(/ (+ a b) a)
16.0ms	(/ (- a b) a)
58.0ms	(* (/ (+ a b) a) (/ (- a b) a))

series151.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
28.0ms	(/ (+ a b) a)
32.0ms	(/ (- a b) a)
68.0ms	(* (/ (+ a b) a) (/ (- a b) a))

simplify59.0ms

Counts: 155 → 155

prune364.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (/ a (+ a b)))
0.1b	(/ (- a b) a)
0.1b	(/ a (+ a b))
0.1b	(* (/ 1 (/ a (+ a b))) (/ (- a b) a))

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

251×	`times-frac`
194×	`*-un-lft-identity`
173×	`add-sqr-sqrt`
126×	`add-cube-cbrt`
64×	`add-exp-log`
59×	`associate-l`
34×	`add-cbrt-cube`
30×	`div-exp`
25×	`associate-/r*` `distribute-lft-out`
19×	`associate-r`
18×	`associate-/r/`
14×	`cbrt-undiv` `prod-exp`
12×	`div-inv`
11×	`associate-/l*`
10×	`unswap-sqr`
8×	`flip3-+` `flip-+`
7×	`pow1` `distribute-lft-out--` `difference-of-squares`
6×	`rec-exp` `1-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`associate-/l/`
1×	`frac-times` `flip3--` `pow-flip` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `flip--` `inv-pow`

Counts

4 → 287

Calls

4 calls:

18.0ms	(/ 1 (/ a (+ a b)))
19.0ms	(/ (- a b) a)
11.0ms	(/ a (+ a b))
86.0ms	(* (/ 1 (/ a (+ a b))) (/ (- a b) a))

series168.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ 1 (/ a (+ a b)))
34.0ms	(/ (- a b) a)
42.0ms	(/ a (+ a b))
69.0ms	(* (/ 1 (/ a (+ a b))) (/ (- a b) a))

simplify42.0ms

Counts: 299 → 299

prune690.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fabs (/ (* (+ a b) (/ (- a b) a)) a)))
0.0b	(/ (* (+ a b) (/ (- a b) a)) a)
0.0b	(* (+ a b) (/ (- a b) a))
0.1b	(/ (- a b) a)

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
34×	`times-frac`
27×	`add-cube-cbrt`
20×	`add-exp-log` `add-cbrt-cube`
19×	`associate-r`
7×	`pow1` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
6×	`cbrt-undiv` `div-exp` `associate-/r` `associate-/l`
4×	`frac-times` `flip3-+` `associate-l` `associate-*l/` `prod-exp` `cbrt-unprod` `flip-+` `add-log-exp`
3×	`sqrt-prod` `div-inv`
2×	`frac-2neg` `associate-*r/` `clear-num` `unswap-sqr`
1×	`rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `div-sub` `pow-prod-down` `*-commutative` `flip--` `distribute-lft-out`

Counts

4 → 122

Calls

4 calls:

1.0ms	(sqrt (fabs (/ (* (+ a b) (/ (- a b) a)) a)))
23.0ms	(/ (* (+ a b) (/ (- a b) a)) a)
47.0ms	(* (+ a b) (/ (- a b) a))
17.0ms	(/ (- a b) a)

series178.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(sqrt (fabs (/ (* (+ a b) (/ (- a b) a)) a)))
64.0ms	(/ (* (+ a b) (/ (- a b) a)) a)
59.0ms	(* (+ a b) (/ (- a b) a))
36.0ms	(/ (- a b) a)

simplify61.0ms

Counts: 134 → 134

prune309.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes28.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.2s

Algorithm

intervals

Results

451.0ms	7823×	pre	80	false
266.0ms	8000×	body	80	valid
106.0ms	8000×	pre	80	true