Details

sample365.0ms

Algorithm

intervals

Results

260.0ms

558×

body

valid

simplify293.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

292.0ms

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

prune77.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize179.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ 2 (* r r))
0.3b	(* (* w r) (* w r))
0.2b	(/ (fma v -2 3) (/ (- 1 v) 0.125))
0.1b	(fma (/ (fma v -2 3) (/ (- 1 v) 0.125)) (* (* w r) (* w r)) 4.5)

rewrite109.0ms

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

48.0ms	(* (* w r) (* w r))
26.0ms	(/ (fma v -2 3) (/ (- 1 v) 0.125))
17.0ms	(/ 2 (* r r))
0.0ms	(fma (/ (fma v -2 3) (/ (- 1 v) 0.125)) (* (* w r) (* w r)) 4.5)

series302.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

104.0ms	(fma (/ (fma v -2 3) (/ (- 1 v) 0.125)) (* (* w r) (* w r)) 4.5)
79.0ms	(/ (fma v -2 3) (/ (- 1 v) 0.125))
66.0ms	(/ 2 (* r r))
52.0ms	(* (* w r) (* w r))

simplify15.1s

Counts

216 → 193

Calls

216 calls:

Slowest

729.0ms	(* (* (* (* w w) w) (* (* r r) r)) (* (* (* w w) w) (* (* r r) r)))
637.0ms	(* (* (* (* w r) (* w r)) (* w r)) (* (* (* w r) (* w r)) (* w r)))
509.0ms	(- 0.25 (+ (* 0.125 (/ 1 v)) (* 0.125 (/ 1 (pow v 2)))))
505.0ms	(- 0.25 (+ (* 0.125 (/ 1 v)) (* 0.125 (/ 1 (pow v 2)))))
369.0ms	(/ (* (* 2 2) 2) (* (* (* r r) r) (* (* r r) r)))

prune3.2s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize80.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (* (* (* (/ (fma -2 v 3) (- 1 v)) 0.125) (* (/ (fma -2 v 3) (- 1 v)) 0.125)) (* (/ (fma -2 v 3) (- 1 v)) 0.125)))
0.4b	(/ 2 (* r r))
0.3b	(* (* w r) (* w r))
0.1b	(fma (cbrt (* (* (* (/ (fma -2 v 3) (- 1 v)) 0.125) (* (/ (fma -2 v 3) (- 1 v)) 0.125)) (* (/ (fma -2 v 3) (- 1 v)) 0.125))) (* (* w r) (* w r)) 4.5)

rewrite347.0ms

Algorithm

rewrite-expression-head

Rules

43×	`pow1`
21×	`add-cbrt-cube` `add-exp-log`
17×	`pow-prod-down` `associate-*l/`
9×	`prod-exp` `cbrt-unprod`
7×	`cbrt-div`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`frac-times`
4×	`expm1-log1p-u` `pow-sqr` `pow-prod-up` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `associate-r/` `associate-/l`
2×	`cbrt-undiv` `pow-plus` `div-exp`
1×	`cbrt-prod` `pow2` `clear-num` `associate-/r` `frac-2neg` `pow1/3` `swap-sqr` `associate-r` `associate-l` `pow3` `-commutative` `rem-cbrt-cube` `fma-udef` `div-inv`

Counts

4 → 92

Calls

4 calls:

Slowest

302.0ms	(cbrt (* (* (* (/ (fma -2 v 3) (- 1 v)) 0.125) (* (/ (fma -2 v 3) (- 1 v)) 0.125)) (* (/ (fma -2 v 3) (- 1 v)) 0.125)))
29.0ms	(* (* w r) (* w r))
14.0ms	(/ 2 (* r r))
0.0ms	(fma (cbrt (* (* (* (/ (fma -2 v 3) (- 1 v)) 0.125) (* (/ (fma -2 v 3) (- 1 v)) 0.125)) (* (/ (fma -2 v 3) (- 1 v)) 0.125))) (* (* w r) (* w r)) 4.5)

series469.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

257.0ms	(fma (cbrt (* (* (* (/ (fma -2 v 3) (- 1 v)) 0.125) (* (/ (fma -2 v 3) (- 1 v)) 0.125)) (* (/ (fma -2 v 3) (- 1 v)) 0.125))) (* (* w r) (* w r)) 4.5)
117.0ms	(cbrt (* (* (* (/ (fma -2 v 3) (- 1 v)) 0.125) (* (/ (fma -2 v 3) (- 1 v)) 0.125)) (* (/ (fma -2 v 3) (- 1 v)) 0.125)))
52.0ms	(/ 2 (* r r))
43.0ms	(* (* w r) (* w r))

simplify7.3s

Counts

65 → 104

Calls

65 calls:

Slowest

1.4s	(cbrt (* (* (* (fma -2 v 3) 0.125) (* (fma -2 v 3) 0.125)) (* (fma -2 v 3) 0.125)))
915.0ms	(cbrt (* (* (* (fma -2 v 3) 0.125) (* (/ (fma -2 v 3) (- 1 v)) 0.125)) (* (fma -2 v 3) 0.125)))
722.0ms	(* (* (* (* w w) w) (* (* r r) r)) (* (* (* w w) w) (* (* r r) r)))
712.0ms	(cbrt (* (* (* (fma -2 v 3) 0.125) (* (/ (fma -2 v 3) (- 1 v)) 0.125)) (* (/ (fma -2 v 3) (- 1 v)) 0.125)))
598.0ms	(* (* (* (* w r) (* w r)) (* w r)) (* (* (* w r) (* w r)) (* w r)))

prune1.7s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize76.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ 1 (sqrt 0.125))
0.7b	(/ (- 1 v) (sqrt 0.125))
0.5b	(/ (/ (fma v -2 3) (/ 1 (sqrt 0.125))) (/ (- 1 v) (sqrt 0.125)))
0.4b	(/ 2 (* r r))

rewrite351.0ms

Algorithm

rewrite-expression-head

Rules

10409×	`times-frac`
5269×	`add-sqr-sqrt` `*-un-lft-identity`
3952×	`add-cube-cbrt`
2436×	`sqrt-prod`
878×	`difference-of-squares`
439×	`distribute-lft-out--`
240×	`div-inv`
83×	`associate-/l*`
53×	`associate-/r*`
50×	`add-exp-log`
42×	`associate-/r/`
34×	`add-cbrt-cube`
32×	`div-exp`
19×	`cbrt-undiv`
6×	`pow1`
4×	`expm1-log1p-u` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `1-exp` `pow-flip` `associate-/l/`
1×	`sqrt-pow1` `flip3--` `pow1/2` `div-sub` `prod-exp` `cbrt-unprod` `flip--` `inv-pow`

Counts

4 → 3120

Calls

4 calls:

Slowest

49.0ms	(/ (/ (fma v -2 3) (/ 1 (sqrt 0.125))) (/ (- 1 v) (sqrt 0.125)))
27.0ms	(/ (- 1 v) (sqrt 0.125))
11.0ms	(/ 2 (* r r))
11.0ms	(/ 1 (sqrt 0.125))

series318.0ms

Counts

4 → 10

Calls

4 calls:

Slowest

162.0ms	(/ (/ (fma v -2 3) (/ 1 (sqrt 0.125))) (/ (- 1 v) (sqrt 0.125)))
124.0ms	(/ (- 1 v) (sqrt 0.125))
32.0ms	(/ 2 (* r r))
0.0ms	(/ 1 (sqrt 0.125))