Details

sample242.0ms

Algorithm

intervals

Results

133.0ms

559×

body

valid

simplify1.5s

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.5b

localize27.0ms

Local error

Found 4 expressions with local error:

3.3b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
5.7b	(* (* (* w w) r) r)
5.9b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
10.1b	(* (* w w) r)

rewrite644.0ms

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:

251.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
75.0ms	(* (* (* w w) r) r)
269.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
33.0ms	(* (* w w) r)

series322.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
59.0ms	(* (* (* w w) r) r)
93.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
28.0ms	(* (* w w) r)

simplify2.4s

Counts: 131 → 131

prune479.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.8b

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b	(/ 2.0 (* r r))
3.3b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* w (* w r)) r))
5.7b	(* (* w (* w r)) r)
5.9b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* w (* w r)) r)) (- 1.0 v))

rewrite565.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 121

Calls

4 calls:

16.0ms	(/ 2.0 (* r r))
223.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* w (* w r)) r))
65.0ms	(* (* w (* w r)) r)
248.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* w (* w r)) r)) (- 1.0 v))

series299.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(/ 2.0 (* r r))
127.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* w (* w r)) r))
43.0ms	(* (* w (* w r)) r)
99.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* w (* w r)) r)) (- 1.0 v))

simplify611.0ms

Counts: 133 → 133

prune488.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 1.8b

localize22.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ (- 1.0 v) (* (* w (* w r)) r))
0.6b	(/ 2.0 (* r r))
4.8b	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (* (* w (* w r)) r)))
5.7b	(* (* w (* w r)) r)

rewrite346.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 126

Calls

4 calls:

111.0ms	(/ (- 1.0 v) (* (* w (* w r)) r))
17.0ms	(/ 2.0 (* r r))
114.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (* (* w (* w r)) r)))
94.0ms	(* (* w (* w r)) r)

series280.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(/ (- 1.0 v) (* (* w (* w r)) r))
33.0ms	(/ 2.0 (* r r))
102.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (* (* w (* w r)) r)))
63.0ms	(* (* w (* w r)) r)

simplify2.2s

Counts: 138 → 138

prune549.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 0.125 w) (* w r))
0.6b	(/ 2.0 (* r r))
1.9b	(/ (- 3.0 (* 2.0 v)) (/ (- 1.0 v) r))
5.8b	(* (* (* 0.125 w) (* w r)) (/ (- 3.0 (* 2.0 v)) (/ (- 1.0 v) r)))

rewrite344.0ms

Algorithm

rewrite-expression-head

Rules

222×	`times-frac`
151×	`add-sqr-sqrt` `*-un-lft-identity`
109×	`add-cube-cbrt`
95×	`add-exp-log` `add-cbrt-cube`
63×	`associate-r`
48×	`prod-exp` `cbrt-unprod`
34×	`pow1`
21×	`pow-prod-down` `distribute-lft-out--` `difference-of-squares`
20×	`cbrt-undiv` `div-exp` `associate-/r*`
10×	`div-inv`
6×	`associate-/l*`
4×	`add-log-exp`
2×	`frac-2neg` `associate-l` `clear-num` `associate-/r/` `*-commutative` `associate-/l/`
1×	`flip3--` `div-sub` `associate-*r/` `flip--`

Counts

4 → 247

Calls

4 calls:

53.0ms	(* (* 0.125 w) (* w r))
15.0ms	(/ 2.0 (* r r))
28.0ms	(/ (- 3.0 (* 2.0 v)) (/ (- 1.0 v) r))
213.0ms	(* (* (* 0.125 w) (* w r)) (/ (- 3.0 (* 2.0 v)) (/ (- 1.0 v) r)))

series337.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (* 0.125 w) (* w r))
57.0ms	(/ 2.0 (* r r))
79.0ms	(/ (- 3.0 (* 2.0 v)) (/ (- 1.0 v) r))
161.0ms	(* (* (* 0.125 w) (* w r)) (/ (- 3.0 (* 2.0 v)) (/ (- 1.0 v) r)))

simplify803.0ms

Counts: 259 → 259

prune1.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes266.0ms

Accuracy

-87% (4.5b remaining)

Error of 4.6b against oracle of 0.1b and baseline of 2.5b

bsearch230.0ms

Steps

Iters	Range		Point
5	4.117189259117768e-50	1.5396111447868058e-49	1.2139398459933188e-49
5	-157.5946717805265	-49.4843309920802	-93.93746802656042

simplify699.0ms

end0.0ms

sample4.1s

Algorithm

intervals

Results

3.3s

17268×

body

valid