Details

sample326.0ms

Algorithm

intervals

Results

134.0ms

557×

body

valid

simplify755.0ms

Counts

1 → 1

Iterations

Iter	Nodes
4	2264
3	526
2	142
1	51
0	22

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (/ (/ 2 r) r) (- 3 4.5)) (/ (* w r) (/ (/ (- 1 v) (* (- 3 (* 2 v)) 0.125)) (* w r))))
0.2b	(/ (/ 2 r) r)
0.3b	(/ (* w r) (/ (/ (- 1 v) (* (- 3 (* 2 v)) 0.125)) (* w r)))
0.3b	(/ (/ (- 1 v) (* (- 3 (* 2 v)) 0.125)) (* w r))

rewrite320.0ms

Algorithm

rewrite-expression-head

Rules

151×	`times-frac`
95×	`add-cbrt-cube` `add-exp-log`
77×	`*-un-lft-identity`
70×	`add-sqr-sqrt`
56×	`add-cube-cbrt`
47×	`cbrt-undiv` `div-exp`
26×	`associate-/l*`
22×	`prod-exp` `cbrt-unprod`
20×	`associate-/r*`
13×	`div-inv` `add-log-exp`
9×	`associate-/r/` `difference-of-squares`
8×	`associate-*l/` `distribute-lft-out--`
6×	`flip3--` `flip--`
4×	`pow1` `diff-log` `frac-sub` `insert-posit16`
3×	`clear-num` `frac-2neg`
2×	`sum-log` `div-sub` `frac-add` `distribute-lft-out` `associate-/l/`
1×	`associate--l-` `associate-+r-` `sub-neg` `flip3-+` `associate--l+` `flip-+`

Counts

4 → 219

Calls

4 calls:

188.0ms	(- (+ (/ (/ 2 r) r) (- 3 4.5)) (/ (* w r) (/ (/ (- 1 v) (* (- 3 (* 2 v)) 0.125)) (* w r))))
14.0ms	(/ (/ 2 r) r)
56.0ms	(/ (* w r) (/ (/ (- 1 v) (* (- 3 (* 2 v)) 0.125)) (* w r)))
54.0ms	(/ (/ (- 1 v) (* (- 3 (* 2 v)) 0.125)) (* w r))

series481.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(- (+ (/ (/ 2 r) r) (- 3 4.5)) (/ (* w r) (/ (/ (- 1 v) (* (- 3 (* 2 v)) 0.125)) (* w r))))
35.0ms	(/ (/ 2 r) r)
150.0ms	(/ (* w r) (/ (/ (- 1 v) (* (- 3 (* 2 v)) 0.125)) (* w r)))
112.0ms	(/ (/ (- 1 v) (* (- 3 (* 2 v)) 0.125)) (* w r))

simplify3.8s

Counts

231 → 231

Iterations

Iter	Nodes
2	5189
1	1364
0	491

prune3.2s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r)
0.2b	(/ (/ 2 r) r)
0.3b	(/ (* w r) (* (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w) (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r)))
0.4b	(* (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w) (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r))

rewrite250.0ms

Algorithm

rewrite-expression-head

Rules

283×	`times-frac`
184×	`add-sqr-sqrt`
154×	`*-un-lft-identity`
126×	`sqrt-prod`
124×	`add-cube-cbrt`
64×	`add-cbrt-cube` `add-exp-log`
49×	`associate-r` `associate-l`
29×	`associate-/l*`
26×	`cbrt-undiv` `div-exp`
23×	`associate-/r/`
22×	`associate-*l/`
20×	`difference-of-squares`
19×	`div-inv`
17×	`prod-exp` `cbrt-unprod`
10×	`flip3--` `flip--` `distribute-lft-out--`
9×	`unswap-sqr`
7×	`associate-/r*`
6×	`pow1`
4×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`frac-times` `associate-*r/` `associate-/l/`
1×	`sqrt-div` `pow-prod-down` `*-commutative`

Counts

4 → 313

Calls

4 calls:

37.0ms	(/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r)
16.0ms	(/ (/ 2 r) r)
71.0ms	(/ (* w r) (* (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w) (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r)))
120.0ms	(* (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w) (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r))

series1.3s

Counts

4 → 12

Calls

4 calls:

494.0ms	(/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r)
34.0ms	(/ (/ 2 r) r)
381.0ms	(/ (* w r) (* (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w) (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r)))
347.0ms	(* (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w) (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r))

simplify4.5s

Counts

325 → 325

Iterations

Iter	Nodes
2	6939
1	1673
0	594

prune5.8s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize95.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r)
0.3b	(/ (* w r) (* (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w) (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r)))
0.4b	(* (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w) (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r))
0.4b	(/ 2 (* r r))

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

211×	`times-frac`
144×	`add-sqr-sqrt`
126×	`sqrt-prod`
114×	`*-un-lft-identity`
84×	`add-cube-cbrt`
64×	`add-cbrt-cube` `add-exp-log`
49×	`associate-r` `associate-l`
25×	`cbrt-undiv` `div-exp`
23×	`associate-/r/`
22×	`associate-*l/`
20×	`difference-of-squares`
19×	`associate-/l*`
18×	`prod-exp` `cbrt-unprod`
15×	`div-inv`
10×	`flip3--` `flip--` `distribute-lft-out--`
9×	`unswap-sqr`
6×	`pow1`
5×	`associate-/r*`
4×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`frac-times` `associate-*r/`
1×	`sqrt-div` `pow-prod-down` `*-commutative` `associate-/l/`

Counts

4 → 264

Calls

4 calls:

21.0ms	(/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r)
47.0ms	(/ (* w r) (* (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w) (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r)))
100.0ms	(* (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w) (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r))
12.0ms	(/ 2 (* r r))

series1.3s

Counts

4 → 12

Calls

4 calls:

555.0ms	(/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r)
371.0ms	(/ (* w r) (* (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w) (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r)))
297.0ms	(* (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w) (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r))
29.0ms	(/ 2 (* r r))

simplify2.8s

Counts

276 → 276

Iterations

Iter	Nodes
2	6292
1	1449
0	504

prune5.3s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w) (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r))
0.4b	(/ 2 (* r r))
13.7b	(sqrt (/ (* w r) (* (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w) (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r))))
13.7b	(sqrt (/ (* w r) (* (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w) (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r))))

rewrite260.0ms

Algorithm

rewrite-expression-head

Rules

143×	`times-frac`
108×	`add-sqr-sqrt`
94×	`sqrt-prod`
76×	`*-un-lft-identity`
58×	`add-cube-cbrt`
49×	`associate-r` `associate-l`
21×	`add-cbrt-cube` `add-exp-log`
18×	`associate-/r/`
15×	`associate-*l/`
12×	`difference-of-squares`
11×	`div-inv`
9×	`unswap-sqr`
8×	`pow1`
6×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `distribute-lft-out--`
5×	`prod-exp` `cbrt-unprod`
4×	`insert-posit16` `add-log-exp`
3×	`frac-times` `associate-r/` `associate-/l`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `sqrt-div`
1×	`clear-num` `associate-/r` `frac-2neg` `pow-prod-down` `-commutative`

Counts

4 → 190

Calls

4 calls:

112.0ms	(* (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w) (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r))
12.0ms	(/ 2 (* r r))
76.0ms	(sqrt (/ (* w r) (* (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w) (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r))))
54.0ms	(sqrt (/ (* w r) (* (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w) (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r))))

series1.1s

Counts

4 → 12

Calls

4 calls:

323.0ms	(* (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w) (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r))
29.0ms	(/ 2 (* r r))
385.0ms	(sqrt (/ (* w r) (* (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w) (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r))))
361.0ms	(sqrt (/ (* w r) (* (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w) (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) r))))

simplify2.5s

Counts

202 → 202

Iterations

Iter	Nodes
2	4486
1	1228
0	411

prune4.7s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes220.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
2	31
1	31
0	26

end0.0ms

sample4.3s

Algorithm

intervals

Results

3.5s

16781×

body

valid