Details

sample381.0ms

Algorithm

intervals

Results

262.0ms

502×

body

valid

simplify1.4s

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.1b

localize25.0ms

Local error

Found 4 expressions with local error:

4.2b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
5.5b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
7.5b	(* (* (* w w) r) r)
9.4b	(* (* w w) r)

rewrite850.0ms

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:

346.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
367.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
96.0ms	(* (* (* w w) r) r)
27.0ms	(* (* w w) r)

series357.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
128.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
52.0ms	(* (* (* w w) r) r)
52.0ms	(* (* w w) r)

simplify2.0s

Counts: 131 → 131

prune402.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.9b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 2.0 (* r r))
0.3b	(* (fabs (* w r)) (fabs (* w r)))
4.2b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
5.5b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

rewrite147.0ms

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:

17.0ms	(/ 2.0 (* r r))
11.0ms	(* (fabs (* w r)) (fabs (* w r)))
44.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
66.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

series218.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ 2.0 (* r r))
10.0ms	(* (fabs (* w r)) (fabs (* w r)))
46.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
126.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

simplify1.3s

Counts: 117 → 117

prune562.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 2.0 (* r r))
0.3b	(pow (fabs (* w r)) 2)
0.4b	(/ (- 1.0 v) (pow (fabs (* w r)) 2))
5.0b	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

rewrite113.0ms

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:

16.0ms	(/ 2.0 (* r r))
5.0ms	(pow (fabs (* w r)) 2)
20.0ms	(/ (- 1.0 v) (pow (fabs (* w r)) 2))
47.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

series242.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(/ 2.0 (* r r))
21.0ms	(pow (fabs (* w r)) 2)
49.0ms	(/ (- 1.0 v) (pow (fabs (* w r)) 2))
123.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

simplify1.7s

Counts: 235 → 235

prune1.1s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (- 1.0 v) (fabs (* w r)))
0.3b	(/ 2.0 (* r r))
0.3b	(* (* 0.125 (fabs (* w r))) (/ (- 3.0 (* 2.0 v)) (/ (- 1.0 v) (fabs (* w r)))))
7.7b	(/ (- 3.0 (* 2.0 v)) (/ (- 1.0 v) (fabs (* w r))))

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

237×	`times-frac`
169×	`add-sqr-sqrt` `*-un-lft-identity`
119×	`add-cube-cbrt`
62×	`associate-r`
37×	`add-exp-log` `add-cbrt-cube`
25×	`distribute-lft-out--` `difference-of-squares`
23×	`associate-/r*`
12×	`cbrt-undiv` `div-exp`
11×	`div-inv` `associate-/l*`
10×	`prod-exp` `cbrt-unprod`
9×	`pow1`
4×	`associate-/l/` `add-log-exp`
3×	`frac-2neg` `pow-prod-down` `clear-num`
2×	`flip3--` `div-sub` `associate-/r/` `flip--`
1×	`associate-r/` `associate-l` `-commutative`

Counts

4 → 242

Calls

4 calls:

33.0ms	(/ (- 1.0 v) (fabs (* w r)))
16.0ms	(/ 2.0 (* r r))
74.0ms	(* (* 0.125 (fabs (* w r))) (/ (- 3.0 (* 2.0 v)) (/ (- 1.0 v) (fabs (* w r)))))
42.0ms	(/ (- 3.0 (* 2.0 v)) (/ (- 1.0 v) (fabs (* w r))))

series308.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(/ (- 1.0 v) (fabs (* w r)))
32.0ms	(/ 2.0 (* r r))
155.0ms	(* (* 0.125 (fabs (* w r))) (/ (- 3.0 (* 2.0 v)) (/ (- 1.0 v) (fabs (* w r)))))
70.0ms	(/ (- 3.0 (* 2.0 v)) (/ (- 1.0 v) (fabs (* w r))))

simplify711.0ms

Counts: 254 → 254

prune1.4s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

regimes407.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify2.0s

end0.0ms

sample3.8s

Algorithm

intervals

Results

3.0s

17111×

body

valid