Details

sample42.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
5.0ms	252×	pre	80	false
4.0ms	256×	pre	80	true

simplify76.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.1b

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))))
11.7b	(/ (- (* a a) (* b b)) (* a a))

rewrite44.0ms

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:

8.0ms	(- (* a a) (* b b))
1.0ms	(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
33.0ms	(/ (- (* a a) (* b b)) (* a a))

series110.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(- (* a a) (* b b))
20.0ms	(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
55.0ms	(/ (- (* a a) (* b b)) (* a a))

simplify102.0ms

Counts: 61 → 61

prune152.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite134.0ms

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:

19.0ms	(/ (+ a b) a)
1.0ms	(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
77.0ms	(* (/ (+ a b) a) (/ (- a b) a))
32.0ms	(/ (- a b) a)

series183.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ (+ a b) a)
25.0ms	(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
80.0ms	(* (/ (+ a b) a) (/ (- a b) a))
55.0ms	(/ (- a b) a)

simplify47.0ms

Counts: 155 → 155

prune402.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (pow (sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a)))) 3))
0.0b	(* (/ (+ a b) a) (/ (- a b) a))
0.0b	(pow (sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a)))) 3)
0.1b	(/ (- a b) a)

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

67×	`add-sqr-sqrt`
61×	`*-un-lft-identity`
46×	`times-frac`
41×	`add-cube-cbrt`
19×	`add-exp-log` `associate-r` `add-cbrt-cube`
18×	`cbrt-prod`
16×	`associate-l`
12×	`unpow-prod-down` `cube-prod` `sqrt-prod`
8×	`pow1`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`cbrt-undiv` `div-exp` `associate-/l*`
4×	`prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
3×	`pow-unpow` `pow-pow` `associate-/r*` `div-inv` `distribute-lft-out`
2×	`cube-mult` `unpow3` `associate-/l/` `sqr-pow`
1×	`frac-times` `pow-to-exp` `flip3--` `frac-2neg` `sqrt-pow1` `pow1/2` `pow1/3` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `pow-exp` `clear-num` `*-commutative` `sqrt-pow2` `flip--` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 156

Calls

4 calls:

3.0ms	(cbrt (pow (sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a)))) 3))
73.0ms	(* (/ (+ a b) a) (/ (- a b) a))
7.0ms	(pow (sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a)))) 3)
24.0ms	(/ (- a b) a)

series228.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(cbrt (pow (sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a)))) 3))
89.0ms	(* (/ (+ a b) a) (/ (- a b) a))
63.0ms	(pow (sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a)))) 3)
51.0ms	(/ (- a b) a)

simplify54.0ms

Counts: 168 → 168

prune593.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

62×	`add-sqr-sqrt`
55×	`*-un-lft-identity`
46×	`times-frac`
35×	`add-cube-cbrt`
19×	`associate-r`
18×	`add-exp-log` `add-cbrt-cube`
16×	`associate-l`
8×	`pow1`
7×	`log-pow` `distribute-lft-out--` `difference-of-squares`
6×	`exp-prod` `sqrt-prod`
5×	`cbrt-undiv` `div-exp` `associate-/l*`
4×	`prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
3×	`log-prod` `associate-/r*` `div-inv` `distribute-lft-out`
2×	`associate-/l/`
1×	`frac-times` `rem-sqrt-square` `flip3--` `frac-2neg` `sqrt-pow1` `pow1/2` `div-sub` `associate-r/` `rem-log-exp` `pow-prod-down` `associate-l/` `clear-num` `*-commutative` `flip--`

Counts

4 → 128

Calls

4 calls:

6.0ms	(log (exp (sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))))
1.0ms	(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
82.0ms	(* (/ (+ a b) a) (/ (- a b) a))
26.0ms	(/ (- a b) a)

series191.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(log (exp (sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))))
29.0ms	(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
92.0ms	(* (/ (+ a b) a) (/ (- a b) a))
43.0ms	(/ (- a b) a)

simplify42.0ms

Counts: 140 → 140

prune458.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes37.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify51.0ms

end0.0ms

sample1.2s

Algorithm

intervals

Results

365.0ms	8000×	body	80	valid
180.0ms	8293×	pre	80	false
155.0ms	8000×	pre	80	true