Details

sample193.0ms

Algorithm

intervals

Results

111.0ms

551×

body

valid

simplify2.1s

Counts: 1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.6b

localize45.0ms

Local error

Found 4 expressions with local error:

3.7b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
5.4b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
5.7b	(* (* (* w w) r) r)
9.2b	(* (* w w) r)

rewrite711.0ms

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:

282.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
274.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
78.0ms	(* (* (* w w) r) r)
63.0ms	(* (* w w) r)

series331.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
129.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
42.0ms	(* (* (* w w) r) r)
45.0ms	(* (* w w) r)

simplify2.3s

Counts: 131 → 131

prune472.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (fabs (* w r)) (fabs (* w r)))
0.5b	(/ 2.0 (* r r))
3.7b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
5.4b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

rewrite152.0ms

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:

9.0ms	(* (fabs (* w r)) (fabs (* w r)))
8.0ms	(/ 2.0 (* r r))
53.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
77.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

series216.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(* (fabs (* w r)) (fabs (* w r)))
36.0ms	(/ 2.0 (* r r))
64.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
102.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

simplify1.5s

Counts: 117 → 117

prune657.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (pow (fabs (* w r)) 2) (- 1.0 v))
0.4b	(pow (fabs (* w r)) 2)
0.5b	(/ 2.0 (* r r))
2.2b	(* (* (/ 1.0 8.0) (- 3.0 (* 2.0 v))) (/ (pow (fabs (* w r)) 2) (- 1.0 v)))

rewrite192.0ms

Algorithm

rewrite-expression-head

Rules

83×	`times-frac`
82×	`add-sqr-sqrt` `*-un-lft-identity`
57×	`add-exp-log`
48×	`add-cube-cbrt`
46×	`associate-r`
36×	`unpow-prod-down`
32×	`add-cbrt-cube`
21×	`prod-exp`
18×	`div-exp`
17×	`distribute-lft-out--` `difference-of-squares`
12×	`unpow2` `sqr-pow`
11×	`cbrt-unprod` `associate-/l*`
10×	`pow1`
9×	`frac-times`
8×	`cbrt-undiv`
7×	`associate-*l/`
6×	`flip3--` `associate-/r*` `flip--`
5×	`pow-to-exp` `associate-*r/` `pow-exp`
4×	`associate-/r/` `add-log-exp`
3×	`pow-unpow` `pow-prod-down` `div-inv`
2×	`frac-2neg` `clear-num`
1×	`pow-pow` `associate-l` `*-commutative`

Counts

4 → 194

Calls

4 calls:

30.0ms	(/ (pow (fabs (* w r)) 2) (- 1.0 v))
5.0ms	(pow (fabs (* w r)) 2)
16.0ms	(/ 2.0 (* r r))
118.0ms	(* (* (/ 1.0 8.0) (- 3.0 (* 2.0 v))) (/ (pow (fabs (* w r)) 2) (- 1.0 v)))

series197.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(/ (pow (fabs (* w r)) 2) (- 1.0 v))
17.0ms	(pow (fabs (* w r)) 2)
40.0ms	(/ 2.0 (* r r))
80.0ms	(* (* (/ 1.0 8.0) (- 3.0 (* 2.0 v))) (/ (pow (fabs (* w r)) 2) (- 1.0 v)))

simplify1.9s

Counts: 206 → 206

prune1000.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

2.2b	(* (* (/ 1.0 8.0) (- 3.0 (* 2.0 v))) (/ (pow (fabs (* w r)) 2) (- 1.0 v)))
2.2b	(* (* (/ 1.0 8.0) (- 3.0 (* 2.0 v))) (/ (pow (fabs (* w r)) 2) (- 1.0 v)))
11.2b	(sqrt (* (* (/ 1.0 8.0) (- 3.0 (* 2.0 v))) (/ (pow (fabs (* w r)) 2) (- 1.0 v))))
11.2b	(sqrt (* (* (/ 1.0 8.0) (- 3.0 (* 2.0 v))) (/ (pow (fabs (* w r)) 2) (- 1.0 v))))

rewrite372.0ms

Algorithm

rewrite-expression-head

Rules

92×	`associate-r`
88×	`add-exp-log`
80×	`times-frac`
74×	`add-sqr-sqrt` `*-un-lft-identity`
46×	`add-cbrt-cube`
42×	`add-cube-cbrt`
40×	`prod-exp`
36×	`frac-times`
30×	`unpow-prod-down`
28×	`associate-*l/`
26×	`pow1` `div-exp`
22×	`sqrt-div`
20×	`associate-*r/` `cbrt-unprod`
18×	`flip3--` `flip--`
16×	`distribute-lft-out--` `difference-of-squares`
12×	`pow-prod-down`
10×	`cbrt-undiv` `unpow2` `sqr-pow`
6×	`pow-to-exp` `sqrt-pow1` `pow-exp`
4×	`associate-/r/` `add-log-exp`
2×	`pow1/2` `associate-l` `sqrt-prod` `*-commutative` `div-inv`

Counts

4 → 218

Calls

4 calls:

99.0ms	(* (* (/ 1.0 8.0) (- 3.0 (* 2.0 v))) (/ (pow (fabs (* w r)) 2) (- 1.0 v)))
137.0ms	(* (* (/ 1.0 8.0) (- 3.0 (* 2.0 v))) (/ (pow (fabs (* w r)) 2) (- 1.0 v)))
58.0ms	(sqrt (* (* (/ 1.0 8.0) (- 3.0 (* 2.0 v))) (/ (pow (fabs (* w r)) 2) (- 1.0 v))))
65.0ms	(sqrt (* (* (/ 1.0 8.0) (- 3.0 (* 2.0 v))) (/ (pow (fabs (* w r)) 2) (- 1.0 v))))

series922.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(* (* (/ 1.0 8.0) (- 3.0 (* 2.0 v))) (/ (pow (fabs (* w r)) 2) (- 1.0 v)))
100.0ms	(* (* (/ 1.0 8.0) (- 3.0 (* 2.0 v))) (/ (pow (fabs (* w r)) 2) (- 1.0 v)))
337.0ms	(sqrt (* (* (/ 1.0 8.0) (- 3.0 (* 2.0 v))) (/ (pow (fabs (* w r)) 2) (- 1.0 v))))
372.0ms	(sqrt (* (* (/ 1.0 8.0) (- 3.0 (* 2.0 v))) (/ (pow (fabs (* w r)) 2) (- 1.0 v))))

simplify1.9s

Counts: 230 → 230

prune1.5s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

regimes413.0ms

Accuracy

10.3% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.1s

end0.0ms

sample4.2s

Algorithm

intervals

Results

3.3s

16985×

body

valid