Details

sample39.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
5.0ms	296×	pre	80	false
4.0ms	256×	pre	80	true

simplify54.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.1b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
12.7b	(/ (- (* a a) (* b b)) (* a a))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

1.0ms	(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
24.0ms	(/ (- (* a a) (* b b)) (* a a))

series86.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
64.0ms	(/ (- (* a a) (* b b)) (* a a))

simplify80.0ms

Counts: 45 → 45

prune216.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite172.0ms

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:

2.0ms	(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
37.0ms	(/ (+ a b) a)
99.0ms	(* (/ (+ a b) a) (/ (- a b) a))
22.0ms	(/ (- a b) a)

series231.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
39.0ms	(/ (+ a b) a)
117.0ms	(* (/ (+ a b) a) (/ (- a b) a))
44.0ms	(/ (- a b) a)

simplify66.0ms

Counts: 155 → 155

prune386.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (fabs (* (+ 1 (/ b a)) (/ (- a b) a))))
0.0b	(* (+ 1 (/ b a)) (/ (- a b) a))
0.0b	(/ (- a b) a)

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 94

Calls

3 calls:

2.0ms	(sqrt (fabs (* (+ 1 (/ b a)) (/ (- a b) a))))
71.0ms	(* (+ 1 (/ b a)) (/ (- a b) a))
26.0ms	(/ (- a b) a)

series160.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(sqrt (fabs (* (+ 1 (/ b a)) (/ (- a b) a))))
95.0ms	(* (+ 1 (/ b a)) (/ (- a b) a))
50.0ms	(/ (- a b) a)

simplify37.0ms

Counts: 103 → 103

prune340.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes162.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify68.0ms

end0.0ms

sample1.2s

Algorithm

intervals

Results

360.0ms	8000×	body	80	valid
159.0ms	8000×	pre	80	true
139.0ms	8177×	pre	80	false