Details

sample80.0ms

Algorithm

intervals

Results

14.0ms	426×	body	80	valid
7.0ms	426×	pre	80	true

simplify9.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	11
1	16	11
2	34	11
3	70	11
4	183	11
5	363	11
6	533	11
7	613	11
8	732	11
9	1024	11
10	1463	11
11	2141	11
12	4183	11
done	5001	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* m (- 1.0 m)) v) 1.0)
0.0b	(* m (- 1.0 m))
0.0b	(/ (* m (- 1.0 m)) v)
0.1b	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

rewrite261.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
39×	`prod-diff`
37×	`add-cube-cbrt`
15×	`times-frac`
13×	`add-exp-log` `add-cbrt-cube`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`pow1` `associate-r` `associate-l`
7×	`fma-neg`
6×	`add-log-exp`
5×	`div-inv`
4×	`expm1-log1p-u` `flip3--` `associate-*r/` `flip--` `log1p-expm1-u`
3×	`sub-neg` `prod-exp` `associate-/r*` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `diff-log` `clear-num` `associate-/l*`

Counts

4 → 139

Calls

4 calls:

57.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
29.0ms	(* m (- 1.0 m))
32.0ms	(/ (* m (- 1.0 m)) v)
137.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series230.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
58.0ms	(* m (- 1.0 m))
66.0ms	(/ (* m (- 1.0 m)) v)
63.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify1.7s

Counts

151 → 151

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	223	2378
1	489	1926
2	1285	1632
done	5000	1544

prune368.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* v (+ 1.0 m))
0.0b	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
0.0b	(* m (- (* 1.0 1.0) (* m m)))
0.1b	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) m)

rewrite380.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log` `add-cbrt-cube`
18×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
11×	`associate-r` `associate-l`
10×	`pow1` `add-cube-cbrt`
8×	`associate-*r/`
7×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow-prod-down` `*-commutative` `flip--` `unswap-sqr`
2×	`sub-neg` `flip3-+` `prod-diff` `associate-*l/` `associate-/r/` `flip-+` `associate-/l/` `difference-of-squares`
1×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `div-inv` `distribute-lft-out` `associate-/l` `distribute-lft-out--`

Counts

4 → 105

Calls

4 calls:

30.0ms	(* v (+ 1.0 m))
43.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
60.0ms	(* m (- (* 1.0 1.0) (* m m)))
241.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) m)

series341.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* v (+ 1.0 m))
103.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
96.0ms	(* m (- (* 1.0 1.0) (* m m)))
97.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) m)

simplify1.5s

Counts

117 → 117

Iterations

Useful iterations: 2 (538.0ms)

Iter	Nodes	Cost
0	179	1892
1	499	1803
2	2177	1525
done	5000	1525

prune399.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1.0 m) v)
0.1b	(* (+ (fma (/ (- 1.0 m) v) m (- 1.0)) (fma 1.0 -1 1.0)) m)
0.1b	(fma (/ (- 1.0 m) v) m (- 1.0))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`add-cube-cbrt` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/l*`
4×	`associate-l` `distribute-lft-out--` `difference-of-squares`
3×	`expm1-log1p-u` `associate-r` `associate-/r*` `log1p-expm1-u` `add-log-exp`
2×	`associate-*l/` `associate-/l/`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `fma-udef` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

3 → 73

Calls

3 calls:

19.0ms	(/ (- 1.0 m) v)
23.0ms	(* (+ (fma (/ (- 1.0 m) v) m (- 1.0)) (fma 1.0 -1 1.0)) m)
0.0ms	(fma (/ (- 1.0 m) v) m (- 1.0))

series152.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(/ (- 1.0 m) v)
61.0ms	(* (+ (fma (/ (- 1.0 m) v) m (- 1.0)) (fma 1.0 -1 1.0)) m)
42.0ms	(fma (/ (- 1.0 m) v) m (- 1.0))

simplify6.9s

Counts

82 → 82

Iterations

Useful iterations: done (6.9s)

Iter	Nodes	Cost
0	137	1133
1	313	1091
2	912	994
3	3460	902
done	5001	855

prune309.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* m (- (* 1.0 1.0) (* m m))) (* (sqrt (* v (+ 1.0 m))) (sqrt (* v (+ 1.0 m)))))
0.0b	(* m (- (* 1.0 1.0) (* m m)))
0.1b	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* (sqrt (* v (+ 1.0 m))) (sqrt (* v (+ 1.0 m))))) 1.0) m)
0.5b	(* (sqrt (* v (+ 1.0 m))) (sqrt (* v (+ 1.0 m))))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

57×	`pow1`
32×	`associate-*r/`
28×	`sqrt-pow1`
24×	`sqrt-div`
22×	`add-exp-log` `pow-prod-down` `add-cbrt-cube`
20×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`add-cube-cbrt` `flip3-+` `associate-l` `flip-+`
11×	`associate-r`
10×	`pow1/2` `pow-prod-up`
8×	`frac-times` `associate-/r/`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-*l/` `pow-sqr`
4×	`cbrt-undiv` `expm1-log1p-u` `swap-sqr` `div-exp` `sqrt-prod` `log1p-expm1-u` `add-log-exp`
3×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `*-commutative` `flip--` `unswap-sqr`
2×	`sub-neg` `prod-diff` `associate-/l/` `difference-of-squares`
1×	`pow2` `frac-2neg` `times-frac` `pow-plus` `sqrt-unprod` `clear-num` `associate-/r` `rem-square-sqrt` `div-inv` `associate-/l` `distribute-lft-out--`

Counts

4 → 145

Calls

4 calls:

115.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* (sqrt (* v (+ 1.0 m))) (sqrt (* v (+ 1.0 m)))))
39.0ms	(* m (- (* 1.0 1.0) (* m m)))
840.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* (sqrt (* v (+ 1.0 m))) (sqrt (* v (+ 1.0 m))))) 1.0) m)
103.0ms	(* (sqrt (* v (+ 1.0 m))) (sqrt (* v (+ 1.0 m))))

series439.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* (sqrt (* v (+ 1.0 m))) (sqrt (* v (+ 1.0 m)))))
95.0ms	(* m (- (* 1.0 1.0) (* m m)))
121.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* (sqrt (* v (+ 1.0 m))) (sqrt (* v (+ 1.0 m))))) 1.0) m)
105.0ms	(* (sqrt (* v (+ 1.0 m))) (sqrt (* v (+ 1.0 m))))

simplify1.5s

Counts

157 → 157

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	249	3306
1	649	2359
2	2810	2069
done	5000	2028

prune432.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes69.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	19
1	16	19
done	16	19

end0.0ms

sample1.7s

Algorithm

intervals

Results

738.0ms	13899×	body	80	valid
432.0ms	13899×	pre	80	true