Details

sample263.0ms

Algorithm

intervals

Results

151.0ms

555×

body

valid

simplify2.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5004
4	2344
3	534
2	144
1	53
0	22

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize64.0ms

Local error

Found 4 expressions with local error:

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

rewrite189.0ms

Algorithm

rewrite-expression-head

Rules

50×	`*-un-lft-identity`
49×	`add-sqr-sqrt`
44×	`prod-diff`
31×	`add-cube-cbrt`
30×	`add-cbrt-cube` `add-exp-log`
25×	`pow1`
22×	`times-frac`
16×	`prod-exp` `cbrt-unprod`
15×	`pow-prod-down`
12×	`associate--r+`
10×	`distribute-lft-out--`
9×	`add-log-exp` `difference-of-squares`
7×	`fma-neg` `div-inv`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`diff-log` `associate-/l*`
2×	`cbrt-undiv` `sub-neg` `flip3--` `div-exp` `frac-sub` `fma-udef` `flip--`
1×	`clear-num` `associate-/r` `frac-2neg` `associate-r` `associate-l` `associate--l+` `-commutative` `associate--r-`

Counts

4 → 143

Calls

4 calls:

69.0ms	(- (/ 2 (* r r)) (- (fma (/ (fma -2 v 3) (- 1 v)) (* (* w r) (* 0.125 (* w r))) 4.5) 3))
1.0ms	(fma (/ (fma -2 v 3) (- 1 v)) (* (* w r) (* 0.125 (* w r))) 4.5)
14.0ms	(/ 2 (* r r))
99.0ms	(* (* w r) (* 0.125 (* w r)))

series336.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(- (/ 2 (* r r)) (- (fma (/ (fma -2 v 3) (- 1 v)) (* (* w r) (* 0.125 (* w r))) 4.5) 3))
114.0ms	(fma (/ (fma -2 v 3) (- 1 v)) (* (* w r) (* 0.125 (* w r))) 4.5)
37.0ms	(/ 2 (* r r))
68.0ms	(* (* w r) (* 0.125 (* w r)))

simplify2.4s

Counts

155 → 155

Iterations

Iter	Nodes
done	5007
2	2352
1	693
0	253

prune1.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

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

rewrite267.0ms

Algorithm

rewrite-expression-head

Rules

294×	`times-frac`
223×	`add-sqr-sqrt`
221×	`*-un-lft-identity`
205×	`add-cube-cbrt`
131×	`associate-+l+`
129×	`prod-diff`
30×	`add-cbrt-cube` `add-exp-log`
24×	`associate-r`
18×	`div-inv`
13×	`pow1` `associate-/l*`
12×	`prod-exp` `cbrt-unprod`
9×	`add-log-exp` `difference-of-squares`
7×	`fma-def`
6×	`cbrt-undiv` `div-exp` `pow-prod-down`
5×	`distribute-lft-out--`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r*`
2×	`sum-log` `associate-/r/` `distribute-lft-out`
1×	`+-commutative` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `flip3--` `diff-log` `associate-l` `associate-r/` `-commutative` `associate-+l-` `flip-+` `fma-udef` `flip--` `associate-/l/`

Counts

4 → 292

Calls

4 calls:

155.0ms	(+ (- (/ (/ 2 r) r) (fma (* w r) (* (* (* w r) 0.125) (/ (fma v -2 3) (- 1 v))) 4.5)) 3)
0.0ms	(fma (* w r) (* (* (* w r) 0.125) (/ (fma v -2 3) (- 1 v))) 4.5)
76.0ms	(* (* (* w r) 0.125) (/ (fma v -2 3) (- 1 v)))
21.0ms	(/ (/ 2 r) r)

series510.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(+ (- (/ (/ 2 r) r) (fma (* w r) (* (* (* w r) 0.125) (/ (fma v -2 3) (- 1 v))) 4.5)) 3)
140.0ms	(fma (* w r) (* (* (* w r) 0.125) (/ (fma v -2 3) (- 1 v))) 4.5)
146.0ms	(* (* (* w r) 0.125) (/ (fma v -2 3) (- 1 v)))
35.0ms	(/ (/ 2 r) r)

simplify2.5s

Counts

304 → 304

Iterations

Iter	Nodes
done	5006
2	2982
1	936
0	347

prune3.3s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

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

rewrite448.0ms

Algorithm

rewrite-expression-head

Rules

95×	`add-cbrt-cube` `add-exp-log`
60×	`prod-exp` `cbrt-unprod`
54×	`pow1`
37×	`pow-prod-down`
29×	`add-sqr-sqrt` `*-un-lft-identity`
27×	`times-frac`
25×	`associate-l`
20×	`add-cube-cbrt`
9×	`cbrt-undiv` `div-exp`
7×	`fma-neg` `prod-diff`
6×	`add-log-exp` `difference-of-squares`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `div-inv`
3×	`associate-/l*` `distribute-lft-out--`
2×	`flip3--` `associate-r` `associate-l/` `associate-/r/` `-commutative` `flip--`
1×	`clear-num` `associate-/r*` `sub-neg` `frac-2neg` `diff-log` `frac-sub`

Counts

4 → 157

Calls

4 calls:

185.0ms	(- (/ 2 (* r r)) (* (/ (fma -2 v 3) (- 1 v)) (* (* w r) (* 0.125 (* w r)))))
194.0ms	(* (/ (fma -2 v 3) (- 1 v)) (* (* w r) (* 0.125 (* w r))))
7.0ms	(/ 2 (* r r))
60.0ms	(* (* w r) (* 0.125 (* w r)))

series304.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(- (/ 2 (* r r)) (* (/ (fma -2 v 3) (- 1 v)) (* (* w r) (* 0.125 (* w r)))))
95.0ms	(* (/ (fma -2 v 3) (- 1 v)) (* (* w r) (* 0.125 (* w r))))
51.0ms	(/ 2 (* r r))
49.0ms	(* (* w r) (* 0.125 (* w r)))

simplify2.2s

Counts

169 → 169

Iterations

Iter	Nodes
done	5000
2	3168
1	747
0	259

prune1.0s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize80.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* w r) (* 0.125 (* w r)))
0.4b	(* (* w r) (* 0.125 (* w r)))
0.4b	(* (* w r) (* 0.125 (* w r)))
20.6b	(fma (- (* (* w r) (* 0.125 (* w r)))) (/ (fma -2 v 3) (- 1 v)) (* (* (* w r) (* 0.125 (* w r))) (/ (fma -2 v 3) (- 1 v))))

rewrite204.0ms

Algorithm

rewrite-expression-head

Rules

67×	`pow1` `add-cbrt-cube` `add-exp-log`
45×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `expm1-log1p-u` `*-un-lft-identity` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `associate-l` `*-commutative`
1×	`fma-udef`

Counts

4 → 104

Calls

4 calls:

82.0ms	(* (* w r) (* 0.125 (* w r)))
57.0ms	(* (* w r) (* 0.125 (* w r)))
62.0ms	(* (* w r) (* 0.125 (* w r)))
0.0ms	(fma (- (* (* w r) (* 0.125 (* w r)))) (/ (fma -2 v 3) (- 1 v)) (* (* (* w r) (* 0.125 (* w r))) (/ (fma -2 v 3) (- 1 v))))

series362.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (* w r) (* 0.125 (* w r)))
36.0ms	(* (* w r) (* 0.125 (* w r)))
49.0ms	(* (* w r) (* 0.125 (* w r)))
226.0ms	(fma (- (* (* w r) (* 0.125 (* w r)))) (/ (fma -2 v 3) (- 1 v)) (* (* (* w r) (* 0.125 (* w r))) (/ (fma -2 v 3) (- 1 v))))

simplify2.0s

Counts

116 → 116

Iterations

Iter	Nodes
done	5002
2	817
1	194
0	78

prune571.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

regimes415.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify26.0ms

Iterations

Iter	Nodes
done	62
3	62
2	51
1	41
0	27

end0.0ms

sample3.3s

Algorithm

intervals

Results

2.8s

17223×

body

valid