Details

sample30.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
4.0ms	284×	pre	80	false
3.0ms	256×	pre	80	true

simplify746.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.8b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
0.0b	(- (* a a) (* b b))
13.4b	(/ (- (* a a) (* b b)) (* a a))

rewrite51.0ms

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))
41.0ms	(/ (- (* a a) (* b b)) (* a a))

series159.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
53.0ms	(- (* a a) (* b b))
67.0ms	(/ (- (* a a) (* b b)) (* a a))

simplify588.0ms

Counts: 61 → 61

prune176.0ms

Pruning

2 alts after pruning (2 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)
0.0b	(/ (- a b) a)
0.0b	(* (/ (+ a b) a) (/ (- a b) a))

rewrite109.0ms

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))))
19.0ms	(/ (+ a b) a)
16.0ms	(/ (- a b) a)
63.0ms	(* (/ (+ a b) a) (/ (- a b) a))

series217.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
40.0ms	(/ (+ a b) a)
42.0ms	(/ (- a b) a)
106.0ms	(* (/ (+ a b) a) (/ (- a b) a))

simplify958.0ms

Counts: 155 → 155

prune501.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize20.0ms

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))
0.0b	(/ (- a b) a)

rewrite151.0ms

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:

2.0ms	(sqrt (fabs (/ (* (+ a b) (/ (- a b) a)) a)))
31.0ms	(/ (* (+ a b) (/ (- a b) a)) a)
77.0ms	(* (+ a b) (/ (- a b) a))
32.0ms	(/ (- a b) a)

series230.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(sqrt (fabs (/ (* (+ a b) (/ (- a b) a)) a)))
74.0ms	(/ (* (+ a b) (/ (- a b) a)) a)
76.0ms	(* (+ a b) (/ (- a b) a))
54.0ms	(/ (- a b) a)

simplify1.1s

Counts: 134 → 134

prune468.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 113

Calls

4 calls:

58.0ms	(* (+ a b) (/ (- a b) a))
7.0ms	(exp (sqrt (fabs (/ (* (+ a b) (/ (- a b) a)) a))))
30.0ms	(/ (- a b) a)
9.0ms	(log (exp (sqrt (fabs (/ (* (+ a b) (/ (- a b) a)) a)))))

series192.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(* (+ a b) (/ (- a b) a))
60.0ms	(exp (sqrt (fabs (/ (* (+ a b) (/ (- a b) a)) a))))
33.0ms	(/ (- a b) a)
19.0ms	(log (exp (sqrt (fabs (/ (* (+ a b) (/ (- a b) a)) a)))))

simplify924.0ms

Counts: 125 → 125

prune481.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes54.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify737.0ms

end0.0ms

sample1.4s

Algorithm

intervals

Results

366.0ms	8000×	body	80	valid
237.0ms	8000×	pre	80	true
185.0ms	8081×	pre	80	false