Details

sample226.0ms

Algorithm

intervals

Results

89.0ms

562×

body

valid

simplify778.0ms

Counts

1 → 1

Iterations

Iter	Nodes
4	2323
3	534
2	142
1	51
0	22

prune38.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize70.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ 2 (* r r)) (- 3 (fma (/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3))) (* w r) 4.5)))
0.2b	(/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3)))
0.2b	(fma (/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3))) (* w r) 4.5)
0.4b	(/ 2 (* r r))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

64×	`times-frac`
57×	`*-un-lft-identity`
52×	`add-sqr-sqrt`
34×	`add-cube-cbrt`
30×	`add-cbrt-cube` `add-exp-log`
23×	`associate-/r*`
12×	`difference-of-squares`
11×	`cbrt-undiv` `associate-+r+` `div-exp`
9×	`prod-diff` `add-log-exp`
7×	`fma-def` `prod-exp` `cbrt-unprod` `distribute-lft-out--`
5×	`div-inv`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `associate-/l*`
2×	`clear-num` `sum-log` `frac-2neg` `frac-add` `distribute-lft-out`
1×	`+-commutative` `associate-+r-` `sub-neg` `flip3-+` `flip3--` `diff-log` `associate-/r/` `flip-+` `fma-udef` `flip--`

Counts

4 → 144

Calls

4 calls:

49.0ms	(+ (/ 2 (* r r)) (- 3 (fma (/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3))) (* w r) 4.5)))
25.0ms	(/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3)))
0.0ms	(fma (/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3))) (* w r) 4.5)
21.0ms	(/ 2 (* r r))

series461.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(+ (/ 2 (* r r)) (- 3 (fma (/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3))) (* w r) 4.5)))
114.0ms	(/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3)))
141.0ms	(fma (/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3))) (* w r) 4.5)
56.0ms	(/ 2 (* r r))

simplify1.5s

Counts

156 → 156

Iterations

Iter	Nodes
2	3558
1	974
0	328

prune2.1s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (* 0.125 (* w r)) (- 1 v))
0.2b	(fma (* (/ (* 0.125 (* w r)) (- 1 v)) (fma -2 v 3)) (* w r) 4.5)
0.4b	(/ 2 (* r r))
8.2b	(* (/ (* 0.125 (* w r)) (- 1 v)) (fma -2 v 3))

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-cbrt-cube` `add-exp-log`
22×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
15×	`times-frac`
12×	`associate-l`
11×	`prod-exp` `add-cube-cbrt` `cbrt-unprod`
8×	`cbrt-undiv` `div-exp`
7×	`associate-/r*`
6×	`pow1` `difference-of-squares`
4×	`expm1-log1p-u` `associate-/r/` `insert-posit16` `log1p-expm1-u` `associate-/l*` `add-log-exp`
3×	`associate-r` `fma-udef` `div-inv` `distribute-lft-out--`
2×	`clear-num` `frac-2neg` `flip3--` `flip--`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

43.0ms	(/ (* 0.125 (* w r)) (- 1 v))
0.0ms	(fma (* (/ (* 0.125 (* w r)) (- 1 v)) (fma -2 v 3)) (* w r) 4.5)
16.0ms	(/ 2 (* r r))
75.0ms	(* (/ (* 0.125 (* w r)) (- 1 v)) (fma -2 v 3))

series371.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(/ (* 0.125 (* w r)) (- 1 v))
121.0ms	(fma (* (/ (* 0.125 (* w r)) (- 1 v)) (fma -2 v 3)) (* w r) 4.5)
29.0ms	(/ 2 (* r r))
135.0ms	(* (/ (* 0.125 (* w r)) (- 1 v)) (fma -2 v 3))

simplify824.0ms

Counts

120 → 120

Iterations

Iter	Nodes
2	2503
1	615
0	225

prune1.9s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (* 0.125 (* w r)) (- 1 v))
0.2b	(/ (/ 2 r) r)
0.2b	(fma (* (/ (* 0.125 (* w r)) (- 1 v)) (fma -2 v 3)) (* w r) 4.5)
8.2b	(* (/ (* 0.125 (* w r)) (- 1 v)) (fma -2 v 3))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

87×	`times-frac`
62×	`add-sqr-sqrt`
60×	`*-un-lft-identity`
51×	`add-cube-cbrt`
32×	`add-cbrt-cube` `add-exp-log`
14×	`associate-/l*`
12×	`associate-l`
10×	`prod-exp` `cbrt-unprod`
9×	`cbrt-undiv` `associate-/r*` `div-exp`
7×	`div-inv`
6×	`pow1` `difference-of-squares`
4×	`expm1-log1p-u` `associate-/r/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `fma-udef` `distribute-lft-out--`
2×	`clear-num` `frac-2neg` `flip3--` `flip--`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `associate-l/` `-commutative` `unswap-sqr` `associate-/l/`

Counts

4 → 157

Calls

4 calls:

24.0ms	(/ (* 0.125 (* w r)) (- 1 v))
15.0ms	(/ (/ 2 r) r)
0.0ms	(fma (* (/ (* 0.125 (* w r)) (- 1 v)) (fma -2 v 3)) (* w r) 4.5)
58.0ms	(* (/ (* 0.125 (* w r)) (- 1 v)) (fma -2 v 3))

series337.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(/ (* 0.125 (* w r)) (- 1 v))
29.0ms	(/ (/ 2 r) r)
109.0ms	(fma (* (/ (* 0.125 (* w r)) (- 1 v)) (fma -2 v 3)) (* w r) 4.5)
119.0ms	(* (/ (* 0.125 (* w r)) (- 1 v)) (fma -2 v 3))

simplify948.0ms

Counts

169 → 169

Iterations

Iter	Nodes
2	2968
1	817
0	322

prune2.1s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ 2 (* r r))
0.4b	(/ (* w r) (sqrt (/ (- 1 v) (fma -2 v 3))))
0.4b	(* (/ 0.125 (sqrt (/ (- 1 v) (fma -2 v 3)))) (/ (* w r) (sqrt (/ (- 1 v) (fma -2 v 3)))))
1.0b	(/ 0.125 (sqrt (/ (- 1 v) (fma -2 v 3))))

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

387×	`times-frac`
271×	`add-sqr-sqrt`
259×	`*-un-lft-identity`
222×	`sqrt-prod`
169×	`add-cube-cbrt`
80×	`associate-l`
60×	`difference-of-squares`
51×	`associate-/r*`
37×	`add-cbrt-cube` `add-exp-log`
30×	`associate-r` `distribute-lft-out--`
15×	`div-inv`
12×	`cbrt-undiv` `div-exp`
10×	`prod-exp` `cbrt-unprod`
7×	`associate-/l*`
6×	`pow1`
4×	`expm1-log1p-u` `sqrt-div` `associate-/r/` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`clear-num` `frac-2neg`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 353

Calls

4 calls:

15.0ms	(/ 2 (* r r))
28.0ms	(/ (* w r) (sqrt (/ (- 1 v) (fma -2 v 3))))
74.0ms	(* (/ 0.125 (sqrt (/ (- 1 v) (fma -2 v 3)))) (/ (* w r) (sqrt (/ (- 1 v) (fma -2 v 3)))))
20.0ms	(/ 0.125 (sqrt (/ (- 1 v) (fma -2 v 3))))

series416.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(/ 2 (* r r))
164.0ms	(/ (* w r) (sqrt (/ (- 1 v) (fma -2 v 3))))
88.0ms	(* (/ 0.125 (sqrt (/ (- 1 v) (fma -2 v 3)))) (/ (* w r) (sqrt (/ (- 1 v) (fma -2 v 3)))))
134.0ms	(/ 0.125 (sqrt (/ (- 1 v) (fma -2 v 3))))

simplify1.9s

Counts

365 → 365

Iterations

Iter	Nodes
2	4934
1	1421
0	558

prune5.4s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes637.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	24
1	24
0	20

end0.0ms

sample5.1s

Algorithm

intervals

Results

4.4s

17032×

body

valid