Details

sample252.0ms

Algorithm

intervals

Results

167.0ms

530×

body

valid

simplify1.1s

Counts: 1 → 1

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize43.0ms

Local error

Found 4 expressions with local error:

4.5b	(/ (* (- 3 (* 2 v)) 0.125) (/ (- 1 v) (* (* w r) (* w r))))
0.6b	(/ 2 (* r r))
0.3b	(* (* w r) (* w r))
0.2b	(/ (- 1 v) (* (* w r) (* w r)))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

95×	`add-cbrt-cube` `add-exp-log`
43×	`pow1`
39×	`prod-exp` `cbrt-unprod`
31×	`times-frac`
29×	`cbrt-undiv` `div-exp`
24×	`add-sqr-sqrt` `*-un-lft-identity`
17×	`pow-prod-down`
12×	`associate-/r*` `add-cube-cbrt`
10×	`associate-/l*`
8×	`difference-of-squares`
5×	`div-inv`
4×	`pow-sqr` `pow-prod-up` `insert-posit16` `distribute-lft-out--` `add-log-exp` `associate-/l/`
3×	`clear-num` `frac-2neg`
2×	`pow-plus` `flip3--` `associate-*l/` `flip--`
1×	`pow2` `div-sub` `swap-sqr` `associate-r` `associate-l` `associate-/r/` `*-commutative`

Counts

4 → 153

Calls

4 calls:

Slowest

52.0ms	(/ (- 1 v) (* (* w r) (* w r)))
41.0ms	(/ (* (- 3 (* 2 v)) 0.125) (/ (- 1 v) (* (* w r) (* w r))))
26.0ms	(* (* w r) (* w r))
7.0ms	(/ 2 (* r r))

series297.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

122.0ms	(/ (* (- 3 (* 2 v)) 0.125) (/ (- 1 v) (* (* w r) (* w r))))
82.0ms	(/ (- 1 v) (* (* w r) (* w r)))
54.0ms	(* (* w r) (* w r))
38.0ms	(/ 2 (* r r))

simplify1.1s

Counts: 165 → 165

prune2.2s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

9.9b	(sqrt (/ (* (- 3 (* 2 v)) 0.125) (/ (- 1 v) (* (* w r) (* w r)))))
9.9b	(sqrt (/ (* (- 3 (* 2 v)) 0.125) (/ (- 1 v) (* (* w r) (* w r)))))
4.5b	(/ (* (- 3 (* 2 v)) 0.125) (/ (- 1 v) (* (* w r) (* w r))))
4.5b	(/ (* (- 3 (* 2 v)) 0.125) (/ (- 1 v) (* (* w r) (* w r))))

rewrite230.0ms

Algorithm

rewrite-expression-head

Rules

116×	`add-cbrt-cube` `add-exp-log`
76×	`times-frac`
44×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
38×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
30×	`sqrt-prod`
20×	`associate-/r*`
18×	`add-cube-cbrt`
12×	`difference-of-squares`
10×	`div-inv`
6×	`pow1` `distribute-lft-out--`
4×	`associate-*l/` `associate-/r/` `insert-posit16` `add-log-exp` `associate-/l/`
2×	`rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `flip3--` `pow1/2` `sqrt-div` `flip--` `associate-/l*`

Counts

4 → 172

Calls

4 calls:

Slowest

79.0ms	(/ (* (- 3 (* 2 v)) 0.125) (/ (- 1 v) (* (* w r) (* w r))))
59.0ms	(/ (* (- 3 (* 2 v)) 0.125) (/ (- 1 v) (* (* w r) (* w r))))
48.0ms	(sqrt (/ (* (- 3 (* 2 v)) 0.125) (/ (- 1 v) (* (* w r) (* w r)))))
41.0ms	(sqrt (/ (* (- 3 (* 2 v)) 0.125) (/ (- 1 v) (* (* w r) (* w r)))))

series2.0s

Counts

4 → 12

Calls

4 calls:

Slowest

710.0ms	(sqrt (/ (* (- 3 (* 2 v)) 0.125) (/ (- 1 v) (* (* w r) (* w r)))))
683.0ms	(sqrt (/ (* (- 3 (* 2 v)) 0.125) (/ (- 1 v) (* (* w r) (* w r)))))
497.0ms	(/ (* (- 3 (* 2 v)) 0.125) (/ (- 1 v) (* (* w r) (* w r))))
87.0ms	(/ (* (- 3 (* 2 v)) 0.125) (/ (- 1 v) (* (* w r) (* w r))))

simplify968.0ms

Counts: 184 → 184

prune3.4s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize72.0ms

Local error

Found 4 expressions with local error:

4.2b	(/ (/ (- 1 v) (* (* w r) (* w r))) (* (- 3 (* 2 v)) 0.125))
0.6b	(/ 2 (* r r))
0.6b	(/ 1 (/ (/ (- 1 v) (* (* w r) (* w r))) (* (- 3 (* 2 v)) 0.125)))
0.3b	(* (* w r) (* w r))

rewrite248.0ms

Algorithm

rewrite-expression-head

Rules

261×	`add-exp-log`
147×	`add-cbrt-cube`
137×	`times-frac`
116×	`div-exp`
97×	`prod-exp`
59×	`cbrt-undiv`
57×	`add-sqr-sqrt` `*-un-lft-identity`
53×	`cbrt-unprod`
44×	`pow1`
39×	`add-cube-cbrt`
18×	`associate-/r*`
17×	`pow-prod-down`
16×	`associate-/l*`
13×	`rec-exp` `1-exp` `div-inv`
12×	`difference-of-squares`
11×	`associate-/r/`
10×	`associate-*l/`
6×	`distribute-lft-out--`
5×	`flip3--` `flip--`
4×	`pow-sqr` `pow-prod-up` `insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`pow-plus` `div-sub`
1×	`pow2` `swap-sqr` `associate-r` `associate-l` `*-commutative` `pow-flip` `inv-pow` `associate-/l/`

Counts

4 → 250

Calls

4 calls:

Slowest

95.0ms	(/ (/ (- 1 v) (* (* w r) (* w r))) (* (- 3 (* 2 v)) 0.125))
87.0ms	(/ 1 (/ (/ (- 1 v) (* (* w r) (* w r))) (* (- 3 (* 2 v)) 0.125)))
44.0ms	(* (* w r) (* w r))
12.0ms	(/ 2 (* r r))

series312.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

124.0ms	(/ (/ (- 1 v) (* (* w r) (* w r))) (* (- 3 (* 2 v)) 0.125))
108.0ms	(/ 1 (/ (/ (- 1 v) (* (* w r) (* w r))) (* (- 3 (* 2 v)) 0.125)))
47.0ms	(/ 2 (* r r))
33.0ms	(* (* w r) (* w r))

simplify1.8s

Counts: 262 → 262

prune3.6s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

4.5b	(/ (* (- 3 (* 2 v)) 0.125) (/ (- 1 v) (* (* w r) (* w r))))
0.3b	(* (* w r) (* w r))
0.2b	(/ (/ 2 r) r)
0.2b	(/ (- 1 v) (* (* w r) (* w r)))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

103×	`times-frac`
95×	`add-cbrt-cube` `add-exp-log`
64×	`add-sqr-sqrt` `*-un-lft-identity`
52×	`add-cube-cbrt`
43×	`pow1`
38×	`prod-exp` `cbrt-unprod`
30×	`cbrt-undiv` `div-exp`
20×	`associate-/l*`
17×	`pow-prod-down`
14×	`associate-/r*`
9×	`div-inv`
8×	`difference-of-squares`
5×	`associate-/l/`
4×	`pow-sqr` `pow-prod-up` `insert-posit16` `distribute-lft-out--` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`pow-plus` `flip3--` `associate-*l/` `flip--`
1×	`pow2` `div-sub` `swap-sqr` `associate-r` `associate-l` `associate-/r/` `*-commutative`

Counts

4 → 202

Calls

4 calls:

Slowest

54.0ms	(/ (* (- 3 (* 2 v)) 0.125) (/ (- 1 v) (* (* w r) (* w r))))
31.0ms	(/ (- 1 v) (* (* w r) (* w r)))
24.0ms	(* (* w r) (* w r))
8.0ms	(/ (/ 2 r) r)

series295.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

121.0ms	(/ (* (- 3 (* 2 v)) 0.125) (/ (- 1 v) (* (* w r) (* w r))))
69.0ms	(/ (- 1 v) (* (* w r) (* w r)))
54.0ms	(* (* w r) (* w r))
52.0ms	(/ (/ 2 r) r)

simplify1.6s

Counts: 214 → 214

prune2.9s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes321.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch5.0ms

end0.0ms

sample5.4s

Algorithm

intervals

Results

4.9s

17069×

body

valid