Details

sample444.0ms

Algorithm

intervals

Results

335.0ms

535×

body

valid

simplify1.3s

Counts: 1 → 1

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize39.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ 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	(- (+ 3 (/ 2 (* r r))) (fma (* (* w r) (* w r)) (/ (fma v -2 3) (/ (- 1 v) 0.125)) 4.5))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

43×	`pow1`
27×	`*-un-lft-identity`
21×	`add-cbrt-cube` `add-exp-log`
17×	`pow-prod-down`
16×	`add-sqr-sqrt`
14×	`add-cube-cbrt`
12×	`prod-diff`
9×	`prod-exp` `cbrt-unprod` `add-log-exp`
5×	`distribute-lft-out`
4×	`expm1-log1p-u` `fma-neg` `pow-sqr` `pow-prod-up` `insert-posit16` `log1p-expm1-u`
3×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `pow-plus` `diff-log` `div-exp` `fma-udef` `distribute-lft-out--`
1×	`pow2` `clear-num` `associate-/r` `sum-log` `sub-neg` `frac-2neg` `flip3--` `swap-sqr` `associate-r` `associate-l` `associate--l+` `-commutative` `div-inv` `flip--` `associate--r+` `difference-of-squares`

Counts

4 → 109

Calls

4 calls:

Slowest

86.0ms	(- (+ 3 (/ 2 (* r r))) (fma (* (* w r) (* w r)) (/ (fma v -2 3) (/ (- 1 v) 0.125)) 4.5))
25.0ms	(* (* w r) (* w r))
8.0ms	(/ 2 (* r r))
0.0ms	(fma (* (* w r) (* w r)) (/ (fma v -2 3) (/ (- 1 v) 0.125)) 4.5)

series388.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

158.0ms	(- (+ 3 (/ 2 (* r r))) (fma (* (* w r) (* w r)) (/ (fma v -2 3) (/ (- 1 v) 0.125)) 4.5))
155.0ms	(fma (* (* w r) (* w r)) (/ (fma v -2 3) (/ (- 1 v) 0.125)) 4.5)
39.0ms	(* (* w r) (* w r))
36.0ms	(/ 2 (* r r))

simplify3.3s

Counts: 121 → 121

prune1.8s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ 2 (* r r))
0.4b	(* (* w r) (* w r))
0.1b	(* (* (* w r) (* w r)) (/ (fma v -2 3) (/ (- 1 v) 0.125)))
0.0b	(- (+ 3 (/ 2 (* r r))) (+ (* (* (* w r) (* w r)) (/ (fma v -2 3) (/ (- 1 v) 0.125))) 4.5))

rewrite726.0ms

Algorithm

rewrite-expression-head

Rules

126×	`times-frac`
107×	`*-un-lft-identity`
102×	`add-sqr-sqrt`
90×	`add-cbrt-cube` `add-exp-log`
72×	`associate-r`
67×	`add-cube-cbrt`
61×	`pow1`
48×	`prod-exp` `cbrt-unprod`
30×	`pow-prod-down`
19×	`difference-of-squares`
17×	`cbrt-undiv` `div-exp`
16×	`add-log-exp`
12×	`prod-diff`
11×	`distribute-lft-out--`
5×	`div-inv` `distribute-lft-out`
4×	`expm1-log1p-u` `sum-log` `flip3-+` `fma-neg` `diff-log` `pow-sqr` `pow-prod-up` `frac-sub` `flip-+` `insert-posit16` `log1p-expm1-u`
3×	`associate-/l*` `unswap-sqr`
2×	`pow-plus` `associate-l` `*-commutative`
1×	`pow2` `clear-num` `associate-/r` `sub-neg` `frac-2neg` `flip3--` `swap-sqr` `associate--l+` `associate-r/` `associate-/r/` `flip--` `associate--r+`

Counts

4 → 226

Calls

4 calls:

Slowest

550.0ms	(- (+ 3 (/ 2 (* r r))) (+ (* (* (* w r) (* w r)) (/ (fma v -2 3) (/ (- 1 v) 0.125))) 4.5))
134.0ms	(* (* (* w r) (* w r)) (/ (fma v -2 3) (/ (- 1 v) 0.125)))
30.0ms	(* (* w r) (* w r))
7.0ms	(/ 2 (* r r))

series379.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

146.0ms	(- (+ 3 (/ 2 (* r r))) (+ (* (* (* w r) (* w r)) (/ (fma v -2 3) (/ (- 1 v) 0.125))) 4.5))
143.0ms	(* (* (* w r) (* w r)) (/ (fma v -2 3) (/ (- 1 v) 0.125)))
54.0ms	(* (* w r) (* w r))
36.0ms	(/ 2 (* r r))

simplify1.1s

Counts: 238 → 238

prune3.9s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ 2 (* r r))
0.3b	(* (* w r) (* (* w r) (/ (fma v -2 3) (/ (- 1 v) 0.125))))
0.1b	(* (* w r) (/ (fma v -2 3) (/ (- 1 v) 0.125)))
0.0b	(- (+ 3 (/ 2 (* r r))) (+ (* (* w r) (* (* w r) (/ (fma v -2 3) (/ (- 1 v) 0.125)))) 4.5))

rewrite528.0ms

Algorithm

rewrite-expression-head

Rules

123×	`times-frac`
107×	`*-un-lft-identity`
96×	`add-sqr-sqrt`
95×	`add-cbrt-cube` `add-exp-log`
72×	`associate-r`
67×	`add-cube-cbrt`
49×	`prod-exp` `cbrt-unprod`
30×	`pow1`
20×	`cbrt-undiv` `div-exp`
19×	`difference-of-squares`
18×	`pow-prod-down`
16×	`add-log-exp`
12×	`prod-diff`
11×	`distribute-lft-out--`
5×	`div-inv` `distribute-lft-out`
4×	`expm1-log1p-u` `sum-log` `flip3-+` `fma-neg` `diff-log` `frac-sub` `flip-+` `insert-posit16` `log1p-expm1-u`
3×	`associate-r/` `associate-/l`
2×	`associate-l` `*-commutative`
1×	`clear-num` `associate-/r*` `sub-neg` `frac-2neg` `flip3--` `associate--l+` `associate-/r/` `flip--` `associate--r+`

Counts

4 → 213

Calls

4 calls:

Slowest

390.0ms	(- (+ 3 (/ 2 (* r r))) (+ (* (* w r) (* (* w r) (/ (fma v -2 3) (/ (- 1 v) 0.125)))) 4.5))
84.0ms	(* (* w r) (* (* w r) (/ (fma v -2 3) (/ (- 1 v) 0.125))))
34.0ms	(* (* w r) (/ (fma v -2 3) (/ (- 1 v) 0.125)))
11.0ms	(/ 2 (* r r))

series529.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

186.0ms	(- (+ 3 (/ 2 (* r r))) (+ (* (* w r) (* (* w r) (/ (fma v -2 3) (/ (- 1 v) 0.125)))) 4.5))
165.0ms	(* (* w r) (* (* w r) (/ (fma v -2 3) (/ (- 1 v) 0.125))))
128.0ms	(* (* w r) (/ (fma v -2 3) (/ (- 1 v) 0.125)))
49.0ms	(/ 2 (* r r))

simplify813.0ms

Counts: 225 → 225

prune4.0s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ 2 (* r r))
0.4b	(* (* w r) (* w r))
0.2b	(* (* (* w r) (* w r)) (sqrt (/ (fma v -2 3) (/ (- 1 v) 0.125))))
0.2b	(* (* (* (* w r) (* w r)) (sqrt (/ (fma v -2 3) (/ (- 1 v) 0.125)))) (sqrt (/ (fma v -2 3) (/ (- 1 v) 0.125))))

rewrite653.0ms

Algorithm

rewrite-expression-head

Rules

246×	`times-frac`
175×	`add-sqr-sqrt`
168×	`*-un-lft-identity`
149×	`associate-r`
145×	`sqrt-prod`
114×	`add-cube-cbrt`
86×	`pow1`
64×	`add-cbrt-cube` `add-exp-log`
49×	`pow-prod-down`
41×	`prod-exp` `cbrt-unprod`
36×	`difference-of-squares`
18×	`distribute-lft-out--`
9×	`div-inv`
5×	`sqrt-div`
4×	`expm1-log1p-u` `associate-*r/` `pow-sqr` `pow-prod-up` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`associate-l` `-commutative` `associate-/l`
2×	`cbrt-undiv` `pow-plus` `div-exp` `associate-/r/`
1×	`pow2` `frac-times` `clear-num` `associate-/r` `frac-2neg` `swap-sqr` `associate-l/`

Counts

4 → 274

Calls

4 calls:

Slowest

472.0ms	(* (* (* (* w r) (* w r)) (sqrt (/ (fma v -2 3) (/ (- 1 v) 0.125)))) (sqrt (/ (fma v -2 3) (/ (- 1 v) 0.125))))
113.0ms	(* (* (* w r) (* w r)) (sqrt (/ (fma v -2 3) (/ (- 1 v) 0.125))))
41.0ms	(* (* w r) (* w r))
15.0ms	(/ 2 (* r r))

series732.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

314.0ms	(* (* (* w r) (* w r)) (sqrt (/ (fma v -2 3) (/ (- 1 v) 0.125))))
304.0ms	(* (* (* (* w r) (* w r)) (sqrt (/ (fma v -2 3) (/ (- 1 v) 0.125)))) (sqrt (/ (fma v -2 3) (/ (- 1 v) 0.125))))
61.0ms	(/ 2 (* r r))
52.0ms	(* (* w r) (* w r))

simplify1.0s

Counts: 286 → 286

prune5.3s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

regimes426.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch15.0ms

end0.0ms

sample5.0s

Algorithm

intervals

Results

4.5s

16973×

body

valid