Details

sample58.0ms

Algorithm

intervals

Results

15.0ms	256×	body	80	valid
6.0ms	256×	pre	80	true
6.0ms	211×	pre	80	false

simplify846.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.5b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* a a) (* b b))
0.0b	(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
16.1b	(/ (- (* a a) (* b b)) (* a a))

rewrite61.0ms

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:

10.0ms	(- (* a a) (* b b))
2.0ms	(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
48.0ms	(/ (- (* a a) (* b b)) (* a a))

series153.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(- (* a a) (* b b))
24.0ms	(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
72.0ms	(/ (- (* a a) (* b b)) (* a a))

simplify539.0ms

Counts: 61 → 61

prune202.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

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))
0.1b	(/ (- a b) a)

rewrite542.0ms

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))))
416.0ms	(/ (+ a b) a)
91.0ms	(* (/ (+ a b) a) (/ (- a b) a))
20.0ms	(/ (- a b) a)

series217.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
33.0ms	(/ (+ a b) a)
110.0ms	(* (/ (+ a b) a) (/ (- a b) a))
55.0ms	(/ (- a b) a)

simplify1.0s

Counts: 155 → 155

prune516.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite261.0ms

Algorithm

rewrite-expression-head

Rules

287×	`times-frac`
221×	`add-sqr-sqrt`
206×	`*-un-lft-identity`
138×	`add-cube-cbrt`
68×	`associate-r`
64×	`add-exp-log`
34×	`add-cbrt-cube`
30×	`div-exp`
29×	`associate-/r*`
25×	`distribute-lft-out--` `difference-of-squares`
18×	`associate-/r/`
16×	`associate-l`
14×	`cbrt-undiv` `prod-exp`
12×	`div-inv`
10×	`associate-/l*` `unswap-sqr`
8×	`flip3--` `flip--`
7×	`pow1` `distribute-lft-out`
6×	`rec-exp` `1-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`associate-/l/`
1×	`frac-times` `pow-flip` `flip3-+` `associate-r/` `pow-prod-down` `associate-l/` `un-div-inv` `*-commutative` `flip-+` `inv-pow`

Counts

4 → 305

Calls

4 calls:

25.0ms	(/ a (- a b))
35.0ms	(/ (+ a b) a)
140.0ms	(* (/ (+ a b) a) (/ 1 (/ a (- a b))))
23.0ms	(/ 1 (/ a (- a b)))

series224.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(/ a (- a b))
34.0ms	(/ (+ a b) a)
74.0ms	(* (/ (+ a b) a) (/ 1 (/ a (- a b))))
56.0ms	(/ 1 (/ a (- a b)))

simplify586.0ms

Counts: 317 → 317

prune1.3s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

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)

rewrite170.0ms

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)))
41.0ms	(/ (* (+ a b) (/ (- a b) a)) a)
89.0ms	(* (+ a b) (/ (- a b) a))
35.0ms	(/ (- a b) a)

series227.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(sqrt (fabs (/ (* (+ a b) (/ (- a b) a)) a)))
90.0ms	(/ (* (+ a b) (/ (- a b) a)) a)
78.0ms	(* (+ a b) (/ (- a b) a))
40.0ms	(/ (- a b) a)

simplify1.1s

Counts: 134 → 134

prune451.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes36.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.4s

end0.0ms

sample1.3s

Algorithm

intervals

Results

386.0ms	8000×	body	80	valid
155.0ms	8032×	pre	80	false
150.0ms	8000×	pre	80	true