Details

sample47.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
6.0ms	274×	pre	80	false
5.0ms	256×	pre	80	true

simplify853.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.3b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
0.0b	(- (* a a) (* b b))
14.9b	(/ (- (* a a) (* b b)) (* a a))

rewrite69.0ms

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:

1.0ms	(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
8.0ms	(- (* a a) (* b b))
59.0ms	(/ (- (* a a) (* b b)) (* a a))

series143.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
56.0ms	(- (* a a) (* b b))
62.0ms	(/ (- (* a a) (* b b)) (* a a))

simplify542.0ms

Counts: 61 → 61

prune190.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

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

rewrite142.0ms

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)
31.0ms	(/ (- a b) a)
84.0ms	(* (/ (+ a b) a) (/ (- a b) a))

series217.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
25.0ms	(/ (+ a b) a)
50.0ms	(/ (- a b) a)
109.0ms	(* (/ (+ a b) a) (/ (- a b) a))

simplify958.0ms

Counts: 155 → 155

prune460.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ a b) a)
0.0b	(log (exp (* (/ (+ a b) a) (/ (- a b) a))))
0.0b	(/ (- a b) a)
0.1b	(* (/ (+ a b) a) (/ (- a b) a))

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

69×	`*-un-lft-identity`
67×	`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*`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
3×	`log-prod` `log-pow`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `exp-prod` `flip3--` `exp-to-pow` `flip3-+` `div-sub` `associate-r/` `rem-log-exp` `pow-prod-down` `associate-l/` `*-commutative` `flip--` `flip-+`

Counts

4 → 144

Calls

4 calls:

42.0ms	(/ (+ a b) a)
11.0ms	(log (exp (* (/ (+ a b) a) (/ (- a b) a))))
18.0ms	(/ (- a b) a)
69.0ms	(* (/ (+ a b) a) (/ (- a b) a))

series249.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(/ (+ a b) a)
75.0ms	(log (exp (* (/ (+ a b) a) (/ (- a b) a))))
58.0ms	(/ (- a b) a)
87.0ms	(* (/ (+ a b) a) (/ (- a b) a))

simplify988.0ms

Counts: 156 → 156

prune555.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite291.0ms

Algorithm

rewrite-expression-head

Rules

147×	`add-sqr-sqrt`
140×	`*-un-lft-identity`
121×	`times-frac`
102×	`sqrt-prod`
76×	`add-cube-cbrt`
38×	`associate-l`
30×	`swap-sqr`
26×	`distribute-lft-out--`
24×	`pow1`
23×	`associate-r`
22×	`add-exp-log` `add-cbrt-cube`
20×	`difference-of-squares`
12×	`sqrt-div`
11×	`unswap-sqr`
10×	`associate-/l*`
8×	`sqrt-pow1` `pow1/2`
7×	`prod-exp` `cbrt-unprod` `div-inv`
6×	`frac-times` `associate-r/` `pow-prod-down` `associate-/r`
5×	`pow-prod-up`
4×	`cbrt-undiv` `div-exp` `associate-*l/` `associate-/l/` `add-log-exp`
3×	`pow-sqr` `distribute-lft-out`
2×	`flip3--` `frac-2neg` `div-sub` `clear-num` `*-commutative` `flip--`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 231

Calls

4 calls:

17.0ms	(/ (- a b) a)
29.0ms	(/ (- a b) a)
151.0ms	(* (/ (+ a b) a) (* (sqrt (/ (- a b) a)) (sqrt (/ (- a b) a))))
81.0ms	(* (sqrt (/ (- a b) a)) (sqrt (/ (- a b) a)))

series299.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ (- a b) a)
56.0ms	(/ (- a b) a)
137.0ms	(* (/ (+ a b) a) (* (sqrt (/ (- a b) a)) (sqrt (/ (- a b) a))))
69.0ms	(* (sqrt (/ (- a b) a)) (sqrt (/ (- a b) a)))

simplify2.2s

Counts: 243 → 243

prune764.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes55.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify675.0ms

end0.0ms

sample1.8s

Algorithm

intervals

Results

851.0ms	8000×	body	80	valid
183.0ms	8000×	pre	80	true
164.0ms	8196×	pre	80	false