Details

sample319.0ms

Algorithm

intervals

Results

154.0ms

556×

body

valid

simplify958.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
4	2000
3	534
2	144
1	53
0	22

prune42.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize62.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ 3 (/ 2 (* r r))) (fma (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* (* w r) (* w r)) 4.5))
0.1b	(fma (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* (* w r) (* w r)) 4.5)
0.3b	(/ 2 (* r r))
0.4b	(* (* w r) (* w r))

rewrite190.0ms

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:

125.0ms	(- (+ 3 (/ 2 (* r r))) (fma (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* (* w r) (* w r)) 4.5))
0.0ms	(fma (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* (* w r) (* w r)) 4.5)
13.0ms	(/ 2 (* r r))
47.0ms	(* (* w r) (* w r))

series355.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(- (+ 3 (/ 2 (* r r))) (fma (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* (* w r) (* w r)) 4.5))
145.0ms	(fma (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* (* w r) (* w r)) 4.5)
41.0ms	(/ 2 (* r r))
46.0ms	(* (* w r) (* w r))

simplify1.4s

Counts

121 → 121

Iterations

Iter	Nodes
done	2003
3	2003
2	1446
1	421
0	168

prune1.8s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite167.0ms

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:

123.0ms	(- (+ 3 (/ (/ 2 r) r)) (fma (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* (* w r) (* w r)) 4.5))
0.0ms	(fma (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* (* w r) (* w r)) 4.5)
15.0ms	(/ (/ 2 r) r)
26.0ms	(* (* w r) (* w r))

series292.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(- (+ 3 (/ (/ 2 r) r)) (fma (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* (* w r) (* w r)) 4.5))
99.0ms	(fma (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* (* w r) (* w r)) 4.5)
50.0ms	(/ (/ 2 r) r)
32.0ms	(* (* w r) (* w r))

simplify1.7s

Counts

170 → 170

Iterations

Iter	Nodes
done	2009
3	2009
2	1918
1	632
0	265

prune2.4s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite543.0ms

Algorithm

rewrite-expression-head

Rules

198×	`times-frac`
147×	`*-un-lft-identity`
142×	`add-sqr-sqrt`
107×	`add-cube-cbrt`
90×	`add-cbrt-cube` `add-exp-log`
72×	`associate-l`
61×	`pow1`
47×	`prod-exp` `cbrt-unprod`
30×	`pow-prod-down`
19×	`difference-of-squares`
18×	`cbrt-undiv` `div-exp`
16×	`add-log-exp`
13×	`associate-/l*`
12×	`prod-diff`
11×	`distribute-lft-out--`
9×	`div-inv`
5×	`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-/r*` `unswap-sqr`
2×	`pow-plus` `associate-r` `*-commutative`
1×	`pow2` `clear-num` `sub-neg` `frac-2neg` `flip3--` `swap-sqr` `associate-*l/` `associate--l+` `associate-/r/` `flip--` `associate--r+` `associate-/l/`

Counts

4 → 275

Calls

4 calls:

383.0ms	(- (+ 3 (/ (/ 2 r) r)) (+ (* (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* (* w r) (* w r))) 4.5))
118.0ms	(* (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* (* w r) (* w r)))
7.0ms	(/ (/ 2 r) r)
23.0ms	(* (* w r) (* w r))

series302.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(- (+ 3 (/ (/ 2 r) r)) (+ (* (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* (* w r) (* w r))) 4.5))
90.0ms	(* (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* (* w r) (* w r)))
48.0ms	(/ (/ 2 r) r)
45.0ms	(* (* w r) (* w r))

simplify1.3s

Counts

287 → 287

Iterations

Iter	Nodes
done	2000
2	2000
1	1490
0	514

prune4.4s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0b

localize101.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* w r) (* w r))
0.7b	(/ (- 1 v) (cbrt (fma -2 v 3)))
0.7b	(/ (sqrt 0.125) (/ (- 1 v) (cbrt (fma -2 v 3))))
3.3b	(* (/ (sqrt 0.125) (/ 1 (* (cbrt (fma -2 v 3)) (cbrt (fma -2 v 3))))) (* (/ (sqrt 0.125) (/ (- 1 v) (cbrt (fma -2 v 3)))) (* (* w r) (* w r))))

rewrite512.0ms

Algorithm

rewrite-expression-head

Rules

903×	`add-exp-log`
588×	`times-frac`
496×	`prod-exp`
414×	`add-sqr-sqrt` `*-un-lft-identity`
409×	`add-cbrt-cube`
300×	`div-exp`
267×	`add-cube-cbrt`
244×	`cbrt-unprod`
147×	`cbrt-prod`
144×	`cbrt-undiv` `sqrt-prod`
98×	`difference-of-squares`
68×	`pow1`
49×	`distribute-lft-out--`
48×	`associate-l`
46×	`associate-/r*`
36×	`pow-prod-down`
32×	`rec-exp` `1-exp`
16×	`div-inv`
12×	`associate-/l*`
4×	`expm1-log1p-u` `pow-sqr` `pow-prod-up` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-*l/`
2×	`clear-num` `frac-2neg` `pow-plus` `associate-r` `associate-/r/` `*-commutative` `associate-/l/`
1×	`pow2` `frac-times` `flip3--` `div-sub` `swap-sqr` `associate-*r/` `flip--`

Counts

4 → 667

Calls

4 calls:

49.0ms	(* (* w r) (* w r))
27.0ms	(/ (- 1 v) (cbrt (fma -2 v 3)))
24.0ms	(/ (sqrt 0.125) (/ (- 1 v) (cbrt (fma -2 v 3))))
379.0ms	(* (/ (sqrt 0.125) (/ 1 (* (cbrt (fma -2 v 3)) (cbrt (fma -2 v 3))))) (* (/ (sqrt 0.125) (/ (- 1 v) (cbrt (fma -2 v 3)))) (* (* w r) (* w r))))

series671.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* (* w r) (* w r))
173.0ms	(/ (- 1 v) (cbrt (fma -2 v 3)))
153.0ms	(/ (sqrt 0.125) (/ (- 1 v) (cbrt (fma -2 v 3))))
290.0ms	(* (/ (sqrt 0.125) (/ 1 (* (cbrt (fma -2 v 3)) (cbrt (fma -2 v 3))))) (* (/ (sqrt 0.125) (/ (- 1 v) (cbrt (fma -2 v 3)))) (* (* w r) (* w r))))

simplify2.7s

Counts

679 → 679

Iterations

Iter	Nodes
done	2001
1	2001
0	894

prune13.9s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0b

regimes448.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify12.0ms

Iterations

Iter	Nodes
done	34
1	34
0	27

end0.0ms

sample4.8s

Algorithm

intervals

Results

4.2s

17287×

body

valid