Details

sample207.0ms

Algorithm

intervals

Results

121.0ms

571×

body

valid

simplify202.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

202.0ms

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

prune36.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize56.0ms

Local error

Found 4 expressions with local error:

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

rewrite162.0ms

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

99.0ms	(- (+ 3 (/ 2 (* r r))) (fma (/ (fma v -2 3) (/ (- 1 v) 0.125)) (* (* w r) (* w r)) 4.5))
46.0ms	(* (* w r) (* w r))
13.0ms	(/ 2 (* r r))
0.0ms	(fma (/ (fma v -2 3) (/ (- 1 v) 0.125)) (* (* w r) (* w r)) 4.5)

series308.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

117.0ms	(- (+ 3 (/ 2 (* r r))) (fma (/ (fma v -2 3) (/ (- 1 v) 0.125)) (* (* w r) (* w r)) 4.5))
108.0ms	(fma (/ (fma v -2 3) (/ (- 1 v) 0.125)) (* (* w r) (* w r)) 4.5)
46.0ms	(/ 2 (* r r))
36.0ms	(* (* w r) (* w r))

simplify14.6s

Counts

88 → 121

Calls

88 calls:

Slowest

828.0ms	(fma (- (fma (/ (fma v -2 3) (/ (- 1 v) 0.125)) (* (* w r) (* w r)) 4.5)) 1 (* (fma (/ (fma v -2 3) (/ (- 1 v) 0.125)) (* (* w r) (* w r)) 4.5) 1))
744.0ms	(* (* (* (* w w) w) (* (* r r) r)) (* (* (* w w) w) (* (* r r) r)))
649.0ms	(* (* (* (* w r) (* w r)) (* w r)) (* (* (* w r) (* w r)) (* w r)))
592.0ms	(fma (* (cbrt (+ 3 (/ 2 (* r r)))) (cbrt (+ 3 (/ 2 (* r r))))) (cbrt (+ 3 (/ 2 (* r r)))) (- (* (fma (/ (fma v -2 3) (/ (- 1 v) 0.125)) (* (* w r) (* w r)) 4.5) 1)))
512.0ms	(fma (sqrt (+ 3 (/ 2 (* r r)))) (sqrt (+ 3 (/ 2 (* r r)))) (- (* (fma (/ (fma v -2 3) (/ (- 1 v) 0.125)) (* (* w r) (* w r)) 4.5) 1)))

prune1.5s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

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

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 158

Calls

4 calls:

Slowest

67.0ms	(- (+ 3 (/ (/ 2 r) r)) (fma (/ (fma v -2 3) (/ (- 1 v) 0.125)) (* (* w r) (* w r)) 4.5))
32.0ms	(* (* w r) (* w r))
9.0ms	(/ (/ 2 r) r)
0.0ms	(fma (/ (fma v -2 3) (/ (- 1 v) 0.125)) (* (* w r) (* w r)) 4.5)

series333.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

127.0ms	(fma (/ (fma v -2 3) (/ (- 1 v) 0.125)) (* (* w r) (* w r)) 4.5)
109.0ms	(- (+ 3 (/ (/ 2 r) r)) (fma (/ (fma v -2 3) (/ (- 1 v) 0.125)) (* (* w r) (* w r)) 4.5))
49.0ms	(/ (/ 2 r) r)
47.0ms	(* (* w r) (* w r))

simplify16.3s

Counts

171 → 170

Calls

171 calls:

Slowest

784.0ms	(* (* (* (* w w) w) (* (* r r) r)) (* (* (* w w) w) (* (* r r) r)))
609.0ms	(* (* (* (* w r) (* w r)) (* w r)) (* (* (* w r) (* w r)) (* w r)))
548.0ms	(fma (* (cbrt (+ 3 (/ (/ 2 r) r))) (cbrt (+ 3 (/ (/ 2 r) r)))) (cbrt (+ 3 (/ (/ 2 r) r))) (- (* (fma (/ (fma v -2 3) (/ (- 1 v) 0.125)) (* (* w r) (* w r)) 4.5) 1)))
545.0ms	(fma 1 (+ 3 (/ (/ 2 r) r)) (- (* (fma (/ (fma v -2 3) (/ (- 1 v) 0.125)) (* (* w r) (* w r)) 4.5) 1)))
522.0ms	(fma 1 (+ 3 (/ (/ 2 r) r)) (- (* (fma (/ (fma v -2 3) (/ (- 1 v) 0.125)) (* (* w r) (* w r)) 4.5) 1)))

prune2.5s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

13.1b	(sqrt (/ 2 (* r r)))
13.1b	(sqrt (/ 2 (* r r)))
0.5b	(/ 2 (* r r))
0.5b	(/ 2 (* r r))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`times-frac` `add-cbrt-cube` `add-exp-log` `sqrt-prod`
12×	`*-un-lft-identity` `add-cube-cbrt`
6×	`pow1` `associate-/l*`
4×	`expm1-log1p-u` `cbrt-undiv` `rem-sqrt-square` `div-exp` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`clear-num` `associate-/r*` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `prod-exp` `cbrt-unprod`

Counts

4 → 92

Calls

4 calls:

Slowest

6.0ms	(/ 2 (* r r))
6.0ms	(/ 2 (* r r))
5.0ms	(sqrt (/ 2 (* r r)))
5.0ms	(sqrt (/ 2 (* r r)))

series157.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

45.0ms	(sqrt (/ 2 (* r r)))
42.0ms	(/ 2 (* r r))
40.0ms	(sqrt (/ 2 (* r r)))
31.0ms	(/ 2 (* r r))

simplify1.7s

Counts

58 → 104

Calls

58 calls:

Slowest

315.0ms	(/ (* (* 2 2) 2) (* (* (* r r) (* r r)) (* r r)))
278.0ms	(/ (* (* 2 2) 2) (* (* (* r r) r) (* (* r r) r)))
246.0ms	(/ (* (* 2 2) 2) (* (* (* r r) r) (* (* r r) r)))
227.0ms	(/ (* (* 2 2) 2) (* (* (* r r) (* r r)) (* r r)))
49.0ms	(- (log 2) (+ (log r) (log r)))

prune2.0s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize70.0ms

Local error

Found 4 expressions with local error:

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

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

121×	`pow1`
51×	`pow-prod-down`
40×	`add-cbrt-cube` `add-exp-log`
24×	`prod-exp` `cbrt-unprod`
12×	`pow-sqr` `pow-prod-up`
6×	`pow-plus`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow2` `swap-sqr` `associate-r` `associate-l` `*-commutative`
1×	`pow1/3`

Counts

4 → 125

Calls

4 calls:

Slowest

45.0ms	(* (* w r) (* w r))
44.0ms	(* (* w r) (* w r))
34.0ms	(* (* w r) (* w r))
1.0ms	(cbrt (fma (/ (fma v -2 3) (/ (- 1 v) 0.125)) (* (* w r) (* w r)) 4.5))

series466.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

328.0ms	(cbrt (fma (/ (fma v -2 3) (/ (- 1 v) 0.125)) (* (* w r) (* w r)) 4.5))
53.0ms	(* (* w r) (* w r))
42.0ms	(* (* w r) (* w r))
42.0ms	(* (* w r) (* w r))

simplify7.5s

Counts

111 → 137

Calls

111 calls:

Slowest

811.0ms	(* (* (* (* w w) w) (* (* r r) r)) (* (* (* w w) w) (* (* r r) r)))
732.0ms	(* (* (* (* w w) w) (* (* r r) r)) (* (* (* w w) w) (* (* r r) r)))
688.0ms	(* (* (* (* w w) w) (* (* r r) r)) (* (* (* w w) w) (* (* r r) r)))
656.0ms	(* (* (* (* w r) (* w r)) (* w r)) (* (* (* w r) (* w r)) (* w r)))
648.0ms	(* (* (* (* w r) (* w r)) (* w r)) (* (* (* w r) (* w r)) (* w r)))

prune2.5s

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.0b

regimes884.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch3.0ms

end0.0ms

sample4.9s

Algorithm

intervals

Results

4.4s

17363×

body

valid