Details

sample11.0ms

Algorithm

intervals

Results

4.0ms	254×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid

simplify2.0ms

Counts: 1 → 1

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* x 116.0) 16.0)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 12

Calls

1 calls:

8.0ms

(- (* x 116.0) 16.0)

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

(- (* x 116.0) 16.0)

simplify93.0ms

Counts: 15 → 15

prune24.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 116.0) 16.0)
0.0b	(sqrt (- (* x 116.0) 16.0))
0.0b	(sqrt (- (* x 116.0) 16.0))
0.1b	(* (sqrt (- (* x 116.0) 16.0)) (sqrt (- (* x 116.0) 16.0)))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3--` `flip--`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`pow2` `sub-neg` `pow-plus` `sqrt-unprod` `diff-log` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 99

Calls

4 calls:

11.0ms	(- (* x 116.0) 16.0)
14.0ms	(sqrt (- (* x 116.0) 16.0))
17.0ms	(sqrt (- (* x 116.0) 16.0))
77.0ms	(* (sqrt (- (* x 116.0) 16.0)) (sqrt (- (* x 116.0) 16.0)))

series230.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(- (* x 116.0) 16.0)
57.0ms	(sqrt (- (* x 116.0) 16.0))
62.0ms	(sqrt (- (* x 116.0) 16.0))
58.0ms	(* (sqrt (- (* x 116.0) 16.0)) (sqrt (- (* x 116.0) 16.0)))

simplify73.0ms

Counts: 111 → 111

prune260.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (sqrt (- (* x 116.0) 16.0)))
0.0b	(sqrt (sqrt (- (* x 116.0) 16.0)))
0.1b	(* (pow (sqrt (sqrt (- (* x 116.0) 16.0))) 3) (sqrt (sqrt (- (* x 116.0) 16.0))))
0.2b	(pow (sqrt (sqrt (- (* x 116.0) 16.0))) 3)

rewrite193.0ms

Algorithm

rewrite-expression-head

Rules

107×	`sqrt-prod`
74×	`add-sqr-sqrt`
36×	`sqrt-div`
27×	`unpow-prod-down` `cube-prod`
25×	`add-cube-cbrt` `*-un-lft-identity`
24×	`associate-l` `unswap-sqr`
12×	`pow1` `sqrt-pow1`
10×	`add-exp-log`
9×	`flip3--` `associate-r` `flip--`
8×	`cube-div`
7×	`add-cbrt-cube`
6×	`pow1/2`
5×	`pow-pow` `sqr-pow`
4×	`frac-times` `rem-sqrt-square` `add-log-exp`
3×	`pow-unpow` `prod-exp`
2×	`cube-mult` `pow-to-exp` `unpow3` `associate-r/` `associate-l/` `pow-exp`
1×	`pow-plus` `*-commutative` `pow-prod-up` `sqrt-pow2` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 163

Calls

4 calls:

15.0ms	(sqrt (sqrt (- (* x 116.0) 16.0)))
15.0ms	(sqrt (sqrt (- (* x 116.0) 16.0)))
133.0ms	(* (pow (sqrt (sqrt (- (* x 116.0) 16.0))) 3) (sqrt (sqrt (- (* x 116.0) 16.0))))
21.0ms	(pow (sqrt (sqrt (- (* x 116.0) 16.0))) 3)

series638.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(sqrt (sqrt (- (* x 116.0) 16.0)))
157.0ms	(sqrt (sqrt (- (* x 116.0) 16.0)))
46.0ms	(* (pow (sqrt (sqrt (- (* x 116.0) 16.0))) 3) (sqrt (sqrt (- (* x 116.0) 16.0))))
301.0ms	(pow (sqrt (sqrt (- (* x 116.0) 16.0))) 3)

simplify73.0ms

Counts: 175 → 175

prune412.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (sqrt (- (* (* x 116.0) (* x 116.0)) (* 16.0 16.0))) (sqrt (+ (* x 116.0) 16.0)))
0.1b	(* (/ (sqrt (- (* (* x 116.0) (* x 116.0)) (* 16.0 16.0))) (sqrt (+ (* x 116.0) 16.0))) (sqrt (- (* x 116.0) 16.0)))
0.2b	(* (* x 116.0) (* x 116.0))
16.3b	(sqrt (- (* (* x 116.0) (* x 116.0)) (* 16.0 16.0)))

rewrite339.0ms

Algorithm

rewrite-expression-head

Rules

117×	`sqrt-prod`
93×	`add-sqr-sqrt`
92×	`times-frac`
64×	`add-cube-cbrt` `*-un-lft-identity`
49×	`associate-l`
46×	`pow1`
23×	`add-exp-log` `add-cbrt-cube`
18×	`pow-prod-down`
14×	`difference-of-squares`
12×	`sqrt-div`
10×	`prod-exp` `cbrt-unprod` `unswap-sqr`
7×	`associate-r` `associate-/l*`
6×	`associate-/r*`
4×	`flip3--` `associate-/r/` `pow-sqr` `pow-prod-up` `flip--` `add-log-exp`
2×	`cbrt-undiv` `frac-times` `sqrt-undiv` `flip3-+` `pow-plus` `associate-r/` `div-exp` `-commutative` `flip-+` `div-inv` `associate-/l/`
1×	`pow2` `rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-unprod` `swap-sqr` `associate-*l/` `clear-num`

Counts

4 → 205

Calls

4 calls:

90.0ms	(/ (sqrt (- (* (* x 116.0) (* x 116.0)) (* 16.0 16.0))) (sqrt (+ (* x 116.0) 16.0)))
162.0ms	(* (/ (sqrt (- (* (* x 116.0) (* x 116.0)) (* 16.0 16.0))) (sqrt (+ (* x 116.0) 16.0))) (sqrt (- (* x 116.0) 16.0)))
26.0ms	(* (* x 116.0) (* x 116.0))
46.0ms	(sqrt (- (* (* x 116.0) (* x 116.0)) (* 16.0 16.0)))

series465.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(/ (sqrt (- (* (* x 116.0) (* x 116.0)) (* 16.0 16.0))) (sqrt (+ (* x 116.0) 16.0)))
217.0ms	(* (/ (sqrt (- (* (* x 116.0) (* x 116.0)) (* 16.0 16.0))) (sqrt (+ (* x 116.0) 16.0))) (sqrt (- (* x 116.0) 16.0)))
36.0ms	(* (* x 116.0) (* x 116.0))
110.0ms	(sqrt (- (* (* x 116.0) (* x 116.0)) (* 16.0 16.0)))

simplify88.0ms

Counts: 217 → 217

prune602.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes58.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample364.0ms

Algorithm

intervals

Results

169.0ms	7979×	body	80	valid
1.0ms	22×	body	640	valid
1.0ms	15×	body	1280	valid
0.0ms	7×	body	320	valid
0.0ms	5×	body	160	valid