Details

sample186.0ms

Algorithm

intervals

Results

88.0ms

546×

body

valid

simplify171.0ms

Counts: 1 → 1

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.0b

localize56.0ms

Local error

Found 4 expressions with local error:

4.2b	(* (* (/ 1.0 8.0) (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
4.8b	(* (* (* w w) r) r)
6.9b	(/ (* (* (/ 1.0 8.0) (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
12.3b	(* (* w w) r)

rewrite843.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 141

Calls

4 calls:

322.0ms	(* (* (/ 1.0 8.0) (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
73.0ms	(* (* (* w w) r) r)
383.0ms	(/ (* (* (/ 1.0 8.0) (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
43.0ms	(* (* w w) r)

series343.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(* (* (/ 1.0 8.0) (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
46.0ms	(* (* (* w w) r) r)
143.0ms	(/ (* (* (/ 1.0 8.0) (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
49.0ms	(* (* w w) r)

simplify138.0ms

Counts: 153 → 153

prune510.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.6b

localize51.0ms

Local error

Found 4 expressions with local error:

0.8b	(/ 2.0 (* r r))
4.2b	(* (* (/ 1.0 8.0) (- 3.0 (* 2.0 v))) (* (* w (* w r)) r))
4.8b	(* (* w (* w r)) r)
6.9b	(/ (* (* (/ 1.0 8.0) (- 3.0 (* 2.0 v))) (* (* w (* w r)) r)) (- 1.0 v))

rewrite604.0ms

Algorithm

rewrite-expression-head

Rules

140×	`add-exp-log` `add-cbrt-cube`
83×	`prod-exp` `cbrt-unprod`
45×	`pow1`
30×	`pow-prod-down`
23×	`cbrt-undiv` `div-exp`
13×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`associate-*l/`
9×	`add-cube-cbrt`
8×	`times-frac`
6×	`associate-/r*`
5×	`flip3--` `flip--` `associate-/l/`
4×	`frac-times` `associate-r/` `associate-r` `associate-/l` `add-log-exp`
2×	`frac-2neg` `associate-l` `clear-num` `associate-/r/` `*-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 143

Calls

4 calls:

8.0ms	(/ 2.0 (* r r))
245.0ms	(* (* (/ 1.0 8.0) (- 3.0 (* 2.0 v))) (* (* w (* w r)) r))
61.0ms	(* (* w (* w r)) r)
275.0ms	(/ (* (* (/ 1.0 8.0) (- 3.0 (* 2.0 v))) (* (* w (* w r)) r)) (- 1.0 v))

series336.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(/ 2.0 (* r r))
145.0ms	(* (* (/ 1.0 8.0) (- 3.0 (* 2.0 v))) (* (* w (* w r)) r))
52.0ms	(* (* w (* w r)) r)
108.0ms	(/ (* (* (/ 1.0 8.0) (- 3.0 (* 2.0 v))) (* (* w (* w r)) r)) (- 1.0 v))

simplify49.0ms

Counts: 155 → 155

prune667.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.6b

localize44.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (- 1.0 v) (* (* w (* w r)) r))
0.8b	(/ 2.0 (* r r))
4.4b	(/ (* (/ 1.0 8.0) (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (* (* w (* w r)) r)))
4.8b	(* (* w (* w r)) r)

rewrite328.0ms

Algorithm

rewrite-expression-head

Rules

107×	`add-exp-log` `add-cbrt-cube`
41×	`prod-exp` `cbrt-unprod`
38×	`cbrt-undiv` `div-exp`
27×	`times-frac`
21×	`add-sqr-sqrt` `*-un-lft-identity`
13×	`pow1` `add-cube-cbrt`
11×	`associate-/r*`
9×	`associate-/l*`
7×	`associate-/l/`
6×	`pow-prod-down`
5×	`div-inv`
4×	`distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`flip3--` `frac-2neg` `associate-r` `clear-num` `flip--`
2×	`frac-times` `associate-*r/`
1×	`div-sub` `associate-l` `associate-l/` `associate-/r/` `-commutative`

Counts

4 → 139

Calls

4 calls:

60.0ms	(/ (- 1.0 v) (* (* w (* w r)) r))
17.0ms	(/ 2.0 (* r r))
151.0ms	(/ (* (/ 1.0 8.0) (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (* (* w (* w r)) r)))
93.0ms	(* (* w (* w r)) r)

series252.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(/ (- 1.0 v) (* (* w (* w r)) r))
27.0ms	(/ 2.0 (* r r))
87.0ms	(/ (* (/ 1.0 8.0) (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (* (* w (* w r)) r)))
36.0ms	(* (* w (* w r)) r)

simplify56.0ms

Counts: 151 → 151

prune678.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (* (* w r) (* w r)) (- 1.0 v))
0.4b	(* (* w r) (* w r))
0.8b	(/ 2.0 (* r r))
4.1b	(* (* (/ 1.0 8.0) (- 3.0 (* 2.0 v))) (/ (* (* w r) (* w r)) (- 1.0 v)))

rewrite324.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 157

Calls

4 calls:

49.0ms	(/ (* (* w r) (* w r)) (- 1.0 v))
32.0ms	(* (* w r) (* w r))
13.0ms	(/ 2.0 (* r r))
217.0ms	(* (* (/ 1.0 8.0) (- 3.0 (* 2.0 v))) (/ (* (* w r) (* w r)) (- 1.0 v)))

series322.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(/ (* (* w r) (* w r)) (- 1.0 v))
69.0ms	(* (* w r) (* w r))
50.0ms	(/ 2.0 (* r r))
120.0ms	(* (* (/ 1.0 8.0) (- 3.0 (* 2.0 v))) (/ (* (* w r) (* w r)) (- 1.0 v)))

simplify66.0ms

Counts: 169 → 169

prune527.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes230.0ms

Accuracy

7.7% (0.3b remaining)

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

bsearch0.0ms

simplify150.0ms

end0.0ms

sample4.2s

Algorithm

intervals

Results

3.4s

17113×

body

valid