Details

sample204.0ms

Algorithm

intervals

Results

106.0ms

570×

body

valid

simplify1.4s

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.9b

localize49.0ms

Local error

Found 4 expressions with local error:

3.6b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
4.5b	(* (* (* w w) r) r)
6.0b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
10.1b	(* (* w w) r)

rewrite732.0ms

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:

283.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
95.0ms	(* (* (* w w) r) r)
294.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
51.0ms	(* (* w w) r)

series289.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
39.0ms	(* (* (* w w) r) r)
110.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
38.0ms	(* (* w w) r)

simplify2.0s

Counts: 131 → 131

prune421.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.4b

localize54.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 2.0 (* r r))
0.4b	(* (fabs (* w r)) (fabs (* w r)))
3.6b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
6.0b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

rewrite167.0ms

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:

16.0ms	(/ 2.0 (* r r))
14.0ms	(* (fabs (* w r)) (fabs (* w r)))
55.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
73.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

series232.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(/ 2.0 (* r r))
13.0ms	(* (fabs (* w r)) (fabs (* w r)))
69.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
105.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

simplify1.3s

Counts: 117 → 117

prune544.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize46.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (- 1.0 v) (pow (fabs (* w r)) 2))
0.2b	(/ 2.0 (* r r))
0.4b	(pow (fabs (* w r)) 2)
7.6b	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

rewrite136.0ms

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:

36.0ms	(/ (- 1.0 v) (pow (fabs (* w r)) 2))
8.0ms	(/ 2.0 (* r r))
3.0ms	(pow (fabs (* w r)) 2)
63.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

series214.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(/ (- 1.0 v) (pow (fabs (* w r)) 2))
52.0ms	(/ 2.0 (* r r))
16.0ms	(pow (fabs (* w r)) 2)
77.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

simplify1.6s

Counts: 235 → 235

prune1.2s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (pow (fabs (* w r)) 2))
0.2b	(/ 2.0 (* r r))
0.4b	(pow (fabs (* w r)) 2)
7.6b	(/ (* 0.125 (- 3.0 (* 2.0 v))) (* (- 1.0 v) (/ 1 (pow (fabs (* w r)) 2))))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

94×	`add-exp-log`
42×	`div-exp`
32×	`prod-exp` `add-cbrt-cube`
28×	`times-frac`
25×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
15×	`unpow-prod-down`
11×	`cbrt-undiv`
10×	`pow-to-exp` `pow-exp` `associate-/r*`
9×	`rec-exp` `1-exp`
8×	`cbrt-unprod`
7×	`associate-/l*`
6×	`associate-/r/`
5×	`pow1` `unpow2` `sqr-pow`
4×	`add-log-exp`
3×	`pow-unpow` `flip3--` `frac-2neg` `associate-*r/` `clear-num` `flip--` `div-inv`
2×	`frac-times` `associate-*l/` `associate-/l/`
1×	`pow-flip` `pow-pow` `un-div-inv` `inv-pow`

Counts

4 → 145

Calls

4 calls:

19.0ms	(/ 1 (pow (fabs (* w r)) 2))
16.0ms	(/ 2.0 (* r r))
5.0ms	(pow (fabs (* w r)) 2)
53.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (* (- 1.0 v) (/ 1 (pow (fabs (* w r)) 2))))

series168.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(/ 1 (pow (fabs (* w r)) 2))
34.0ms	(/ 2.0 (* r r))
10.0ms	(pow (fabs (* w r)) 2)
95.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (* (- 1.0 v) (/ 1 (pow (fabs (* w r)) 2))))

simplify1.4s

Counts: 157 → 157

prune530.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes269.0ms

Accuracy

5.5% (0.3b remaining)

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

bsearch0.0ms

simplify1.6s

end0.0ms

sample3.9s

Algorithm

intervals

Results

3.1s

17087×

body

valid