Details

sample166.0ms

Algorithm

intervals

Results

28.0ms	463×	body	80	valid
13.0ms	463×	pre	80	true

simplify4.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	4955
5	1090
4	344
3	105
2	38
1	16
0	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 125

Calls

3 calls:

19.0ms	(* m (- 1.0 m))
104.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
39.0ms	(/ (* m (- 1.0 m)) v)

series207.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(* m (- 1.0 m))
65.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
67.0ms	(/ (* m (- 1.0 m)) v)

simplify1.8s

Counts

134 → 134

Iterations

Iter	Nodes
done	5011
2	1910
1	586
0	223

prune641.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite466.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 160

Calls

2 calls:

23.0ms	(/ m (/ v (- 1.0 m)))
435.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

series91.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ m (/ v (- 1.0 m)))
46.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

simplify2.7s

Counts

166 → 166

Iterations

Iter	Nodes
done	5001
2	3093
1	829
0	319

prune882.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- (/ m (/ v (- 1.0 m))) 1.0) (fma 1 1.0 (- (* (sqrt m) (sqrt m)))))
0.5b	(* (sqrt m) (sqrt m))
0.5b	(* (sqrt m) (sqrt m))
58.3b	(fma (- (sqrt m)) (sqrt m) (* (sqrt m) (sqrt m)))

rewrite373.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-sqr-sqrt`
36×	`pow1` `sqrt-prod`
24×	`*-un-lft-identity`
22×	`add-cube-cbrt`
19×	`associate-l`
16×	`sqrt-pow1` `pow1/2` `swap-sqr`
15×	`associate-r`
10×	`add-cbrt-cube` `add-exp-log` `pow-prod-up`
9×	`unswap-sqr`
7×	`pow-prod-down`
6×	`pow-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `difference-of-squares`
2×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `associate-*l/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `flip--` `distribute-lft-out--`

Counts

4 → 140

Calls

4 calls:

327.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (fma 1 1.0 (- (* (sqrt m) (sqrt m)))))
30.0ms	(* (sqrt m) (sqrt m))
11.0ms	(* (sqrt m) (sqrt m))
0.0ms	(fma (- (sqrt m)) (sqrt m) (* (sqrt m) (sqrt m)))

series301.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (fma 1 1.0 (- (* (sqrt m) (sqrt m)))))
27.0ms	(* (sqrt m) (sqrt m))
29.0ms	(* (sqrt m) (sqrt m))
142.0ms	(fma (- (sqrt m)) (sqrt m) (* (sqrt m) (sqrt m)))

simplify1.5s

Counts

152 → 152

Iterations

Iter	Nodes
done	5000
2	1185
1	391
0	164

prune843.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ (* m 1.0) v) (/ (* m m) v))
0.0b	(* (- (- (/ (* m 1.0) v) (/ (* m m) v)) 1.0) (- 1.0 m))
13.2b	(/ (* m m) v)

rewrite514.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 157

Calls

3 calls:

37.0ms	(- (/ (* m 1.0) v) (/ (* m m) v))
452.0ms	(* (- (- (/ (* m 1.0) v) (/ (* m m) v)) 1.0) (- 1.0 m))
16.0ms	(/ (* m m) v)

series170.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(- (/ (* m 1.0) v) (/ (* m m) v))
71.0ms	(* (- (- (/ (* m 1.0) v) (/ (* m m) v)) 1.0) (- 1.0 m))
37.0ms	(/ (* m m) v)

simplify2.2s

Counts

166 → 166

Iterations

Iter	Nodes
done	5003
2	2390
1	784
0	293

prune1.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes147.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	24
1	24
0	17

end0.0ms

sample1.9s

Algorithm

intervals

Results

818.0ms	13862×	body	80	valid
698.0ms	13862×	pre	80	true