Details

sample304.0ms

Algorithm

intervals

Results

180.0ms

566×

body

valid

simplify1.1s

Counts: 1 → 1

prune29.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize37.0ms

Local error

Found 4 expressions with local error:

0.8b	(/ 2 (* r r))
0.4b	(* (* w r) (* w r))
0.1b	(fma (* (* w r) (* w r)) (/ (fma v -2 3) (/ (- 1 v) 0.125)) 4.5)
0.0b	(/ (fma v -2 3) (/ (- 1 v) 0.125))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

141×	`times-frac`
105×	`add-sqr-sqrt` `*-un-lft-identity`
69×	`add-cube-cbrt`
43×	`pow1`
26×	`add-cbrt-cube` `add-exp-log`
24×	`difference-of-squares`
23×	`associate-/r*`
17×	`pow-prod-down`
12×	`distribute-lft-out--`
9×	`prod-exp` `cbrt-unprod`
6×	`div-inv` `associate-/l*`
5×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `pow-sqr` `pow-prod-up` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `pow-plus`
1×	`pow2` `swap-sqr` `associate-r` `associate-l` `associate-/r/` `*-commutative` `fma-udef`

Counts

4 → 181

Calls

4 calls:

Slowest

56.0ms	(* (* w r) (* w r))
19.0ms	(/ (fma v -2 3) (/ (- 1 v) 0.125))
15.0ms	(/ 2 (* r r))
0.0ms	(fma (* (* w r) (* w r)) (/ (fma v -2 3) (/ (- 1 v) 0.125)) 4.5)

series304.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

123.0ms	(fma (* (* w r) (* w r)) (/ (fma v -2 3) (/ (- 1 v) 0.125)) 4.5)
64.0ms	(* (* w r) (* w r))
59.0ms	(/ 2 (* r r))
56.0ms	(/ (fma v -2 3) (/ (- 1 v) 0.125))

simplify1.3s

Counts: 193 → 193

prune3.0s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* w r) (* w r))
0.2b	(/ (/ 2 r) r)
0.1b	(fma (* (* w r) (* w r)) (/ (fma v -2 3) (/ (- 1 v) 0.125)) 4.5)
0.0b	(/ (fma v -2 3) (/ (- 1 v) 0.125))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

213×	`times-frac`
145×	`add-sqr-sqrt` `*-un-lft-identity`
109×	`add-cube-cbrt`
43×	`pow1`
26×	`add-cbrt-cube` `add-exp-log`
25×	`associate-/r*`
24×	`difference-of-squares`
17×	`pow-prod-down`
16×	`associate-/l*`
12×	`distribute-lft-out--`
10×	`div-inv`
8×	`prod-exp` `cbrt-unprod`
6×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `pow-sqr` `pow-prod-up` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `pow-plus`
1×	`pow2` `swap-sqr` `associate-r` `associate-l` `associate-/r/` `*-commutative` `fma-udef` `associate-/l/`

Counts

4 → 230

Calls

4 calls:

Slowest

28.0ms	(* (* w r) (* w r))
13.0ms	(/ (/ 2 r) r)
10.0ms	(/ (fma v -2 3) (/ (- 1 v) 0.125))
0.0ms	(fma (* (* w r) (* w r)) (/ (fma v -2 3) (/ (- 1 v) 0.125)) 4.5)

series243.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

131.0ms	(fma (* (* w r) (* w r)) (/ (fma v -2 3) (/ (- 1 v) 0.125)) 4.5)
48.0ms	(/ (fma v -2 3) (/ (- 1 v) 0.125))
36.0ms	(* (* w r) (* w r))
28.0ms	(/ (/ 2 r) r)

simplify1.7s

Counts: 242 → 242

prune3.8s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.8b	(/ 2 (* r r))
0.4b	(* (* w r) (* w r))
0.2b	(* (* (* w r) (* w r)) (/ (fma v -2 3) (/ (- 1 v) 0.125)))
0.0b	(/ (fma v -2 3) (/ (- 1 v) 0.125))

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

264×	`times-frac`
191×	`add-sqr-sqrt`
185×	`*-un-lft-identity`
122×	`add-cube-cbrt`
95×	`add-cbrt-cube` `add-exp-log`
72×	`associate-r`
61×	`pow1`
48×	`prod-exp` `cbrt-unprod`
42×	`difference-of-squares`
30×	`pow-prod-down`
23×	`associate-/r*`
21×	`distribute-lft-out--`
20×	`cbrt-undiv` `div-exp`
10×	`div-inv`
6×	`associate-/l*`
4×	`expm1-log1p-u` `pow-sqr` `pow-prod-up` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`clear-num` `frac-2neg` `pow-plus` `associate-l` `associate-/r/` `*-commutative`
1×	`pow2` `swap-sqr` `associate-*r/`

Counts

4 → 292

Calls

4 calls:

Slowest

115.0ms	(* (* (* w r) (* w r)) (/ (fma v -2 3) (/ (- 1 v) 0.125)))
23.0ms	(* (* w r) (* w r))
20.0ms	(/ (fma v -2 3) (/ (- 1 v) 0.125))
7.0ms	(/ 2 (* r r))

series292.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

136.0ms	(* (* (* w r) (* w r)) (/ (fma v -2 3) (/ (- 1 v) 0.125)))
62.0ms	(/ (fma v -2 3) (/ (- 1 v) 0.125))
51.0ms	(/ 2 (* r r))
43.0ms	(* (* w r) (* w r))

simplify646.0ms

Counts: 304 → 304

prune4.8s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize70.0ms

Local error

Found 4 expressions with local error:

0.8b	(/ 2 (* r r))
0.4b	(* (* w r) (* w r))
0.1b	(* (/ 1 (- 1 v)) (* 0.125 (fma v -2 3)))
0.1b	(fma (* (* w r) (* w r)) (* (/ 1 (- 1 v)) (* 0.125 (fma v -2 3))) 4.5)

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

48×	`pow1`
43×	`add-exp-log`
33×	`add-cbrt-cube`
25×	`add-sqr-sqrt` `-un-lft-identity` `associate-l*`
21×	`times-frac` `prod-exp`
20×	`pow-prod-down`
16×	`add-cube-cbrt`
15×	`cbrt-unprod`
6×	`div-exp` `difference-of-squares`
5×	`fma-udef`
4×	`distribute-rgt-in` `expm1-log1p-u` `cbrt-undiv` `distribute-lft-in` `pow-sqr` `pow-prod-up` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/l*` `distribute-lft-out--`
2×	`rec-exp` `pow-plus` `1-exp` `associate-r` `associate-/r/` `*-commutative` `div-inv`
1×	`pow2` `clear-num` `associate-/r` `frac-2neg` `flip3--` `swap-sqr` `associate-l/` `flip--`

Counts

4 → 127

Calls

4 calls:

Slowest

40.0ms	(* (/ 1 (- 1 v)) (* 0.125 (fma v -2 3)))
39.0ms	(* (* w r) (* w r))
13.0ms	(/ 2 (* r r))
0.0ms	(fma (* (* w r) (* w r)) (* (/ 1 (- 1 v)) (* 0.125 (fma v -2 3))) 4.5)

series279.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

124.0ms	(fma (* (* w r) (* w r)) (* (/ 1 (- 1 v)) (* 0.125 (fma v -2 3))) 4.5)
57.0ms	(* (/ 1 (- 1 v)) (* 0.125 (fma v -2 3)))
53.0ms	(* (* w r) (* w r))
44.0ms	(/ 2 (* r r))

simplify783.0ms

Counts: 139 → 139

prune1.9s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes544.0ms

Accuracy

0% (0.2b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 0.4b

bsearch3.0ms

end0.0ms

sample5.0s

Algorithm

intervals

Results

4.4s

17183×

body

valid