Details

sample177.0ms

Algorithm

intervals

Results

84.0ms

573×

body

valid

simplify107.0ms

Counts: 1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.5b

localize51.0ms

Local error

Found 4 expressions with local error:

2.8b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
5.2b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
7.1b	(* (* (* w w) r) r)
9.9b	(* (* w w) r)

rewrite817.0ms

Algorithm

rewrite-expression-head

Rules

92×	`add-exp-log` `add-cbrt-cube`
57×	`prod-exp` `cbrt-unprod`
50×	`pow1`
33×	`pow-prod-down`
13×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
9×	`cbrt-undiv` `div-exp`
8×	`add-cube-cbrt`
7×	`associate-r`
5×	`times-frac` `associate-/r*`
4×	`associate-r/` `associate-l/` `add-log-exp`
3×	`flip3--` `associate-l` `*-commutative` `flip--`
2×	`associate-/r/` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 119

Calls

4 calls:

330.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
311.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
130.0ms	(* (* (* w w) r) r)
32.0ms	(* (* w w) r)

series327.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
100.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
56.0ms	(* (* (* w w) r) r)
51.0ms	(* (* w w) r)

simplify120.0ms

Counts: 131 → 131

prune435.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.2b

localize22.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (fabs (* w r)) (fabs (* w r)))
0.8b	(/ 2.0 (* r r))
2.8b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
5.2b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-exp-log` `add-cbrt-cube`
23×	`pow1`
18×	`add-sqr-sqrt` `prod-exp` `cbrt-unprod`
16×	`*-un-lft-identity`
12×	`add-cube-cbrt`
9×	`pow-prod-down`
8×	`times-frac`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r*`
4×	`associate-r/` `associate-r` `associate-l` `associate-l/` `associate-/l*` `add-log-exp`
3×	`flip3--` `swap-sqr` `flip--`
2×	`frac-2neg` `clear-num` `associate-/r/` `*-commutative` `div-inv` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
1×	`pow2` `pow-plus` `pow-sqr` `pow-prod-up` `unswap-sqr`

Counts

4 → 105

Calls

4 calls:

13.0ms	(* (fabs (* w r)) (fabs (* w r)))
15.0ms	(/ 2.0 (* r r))
56.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
57.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

series237.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(* (fabs (* w r)) (fabs (* w r)))
51.0ms	(/ 2.0 (* r r))
51.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
125.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

simplify77.0ms

Counts: 117 → 117

prune586.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.3b

localize48.0ms

Local error

Found 4 expressions with local error:

0.4b	(pow (fabs (* w r)) 2)
0.4b	(/ (- 1.0 v) (pow (fabs (* w r)) 2))
0.8b	(/ 2.0 (* r r))
5.2b	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

167×	`times-frac`
117×	`add-sqr-sqrt` `*-un-lft-identity`
67×	`add-cube-cbrt`
53×	`associate-/r*`
51×	`unpow-prod-down`
39×	`add-exp-log`
25×	`distribute-lft-out--` `difference-of-squares`
23×	`add-cbrt-cube`
19×	`div-exp`
17×	`unpow2` `sqr-pow`
9×	`cbrt-undiv` `associate-/l*`
5×	`pow1` `prod-exp` `div-inv`
4×	`pow-to-exp` `pow-exp` `associate-/l/` `add-log-exp`
3×	`pow-unpow` `frac-2neg` `clear-num` `cbrt-unprod`
2×	`flip3--` `associate-*r/` `flip--`
1×	`pow-pow` `div-sub` `associate-/r/`

Counts

4 → 223

Calls

4 calls:

3.0ms	(pow (fabs (* w r)) 2)
37.0ms	(/ (- 1.0 v) (pow (fabs (* w r)) 2))
12.0ms	(/ 2.0 (* r r))
59.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

series234.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(pow (fabs (* w r)) 2)
69.0ms	(/ (- 1.0 v) (pow (fabs (* w r)) 2))
35.0ms	(/ 2.0 (* r r))
112.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

simplify100.0ms

Counts: 235 → 235

prune1.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.4b	(pow (sqrt (fabs (* w r))) 2)
0.8b	(/ 2.0 (* r r))
4.4b	(sqrt (fabs (* w r)))
5.2b	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (/ (- 1.0 v) (fabs (* w r))) (pow (sqrt (fabs (* w r))) 2)))

rewrite222.0ms

Algorithm

rewrite-expression-head

Rules

964×	`times-frac`
457×	`add-sqr-sqrt`
456×	`*-un-lft-identity`
324×	`add-cube-cbrt`
234×	`unpow-prod-down`
214×	`associate-/r*`
120×	`sqrt-prod`
66×	`distribute-lft-out--` `difference-of-squares`
59×	`add-exp-log`
39×	`unpow2` `sqr-pow`
34×	`div-exp`
30×	`add-cbrt-cube`
26×	`div-inv`
14×	`cbrt-undiv`
8×	`prod-exp`
7×	`pow1`
5×	`pow-to-exp` `pow-exp`
4×	`cbrt-unprod` `associate-/l*` `add-log-exp`
3×	`pow-unpow` `pow-pow`
2×	`frac-2neg` `sqrt-pow1` `pow1/2` `associate-*r/` `clear-num` `associate-/l/`
1×	`rem-sqrt-square` `flip3--` `associate-/r/` `sqrt-pow2` `flip--`

Counts

4 → 518

Calls

4 calls:

7.0ms	(pow (sqrt (fabs (* w r))) 2)
21.0ms	(/ 2.0 (* r r))
2.0ms	(sqrt (fabs (* w r)))
100.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (/ (- 1.0 v) (fabs (* w r))) (pow (sqrt (fabs (* w r))) 2)))

series194.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(pow (sqrt (fabs (* w r))) 2)
51.0ms	(/ 2.0 (* r r))
19.0ms	(sqrt (fabs (* w r)))
111.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (/ (- 1.0 v) (fabs (* w r))) (pow (sqrt (fabs (* w r))) 2)))

simplify152.0ms

Counts: 530 → 530

prune2.0s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes302.0ms

Accuracy

-2101.3% (6.9b remaining)

Error of 6.9b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify51.0ms

end0.0ms

sample4.0s

Algorithm

intervals

Results

3.1s

17252×

body

valid