Details

sample201.0ms

Algorithm

intervals

Results

48.0ms	463×	body	80	valid
22.0ms	463×	pre	80	true

simplify3.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	2003
4	362
3	92
2	35
1	19
0	8

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(* m (- 1 m))
0.0b	(/ (* m (- 1 m)) v)
0.1b	(* (- (/ (* m (- 1 m)) v) 1) m)

rewrite933.0ms

Algorithm

rewrite-expression-head

Rules

95×	`add-sqr-sqrt`
67×	`*-un-lft-identity`
51×	`times-frac`
47×	`add-cube-cbrt`
33×	`associate-r`
28×	`associate-l`
18×	`prod-diff`
16×	`difference-of-squares`
15×	`associate-/l*`
12×	`add-cbrt-cube` `add-exp-log`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`unswap-sqr`
7×	`pow1`
6×	`*-commutative` `distribute-lft-out--`
4×	`associate-*r/`
3×	`expm1-log1p-u` `associate-/r*` `flip3--` `difference-of-sqr-1` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp`
2×	`cbrt-undiv` `sub-neg` `div-exp` `pow-prod-down` `associate-*l/` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-inv`

Counts

3 → 163

Calls

3 calls:

46.0ms	(* m (- 1 m))
84.0ms	(/ (* m (- 1 m)) v)
790.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)

series190.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(* m (- 1 m))
57.0ms	(/ (* m (- 1 m)) v)
67.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)

simplify1.9s

Counts

172 → 172

Iterations

Iter	Nodes
done	5004
2	1845
1	650
0	262

prune593.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (- (/ (- 1 m) (/ v m)) 1) m)
0.3b	(/ (- 1 m) (/ v m))

rewrite934.0ms

Algorithm

rewrite-expression-head

Rules

150×	`times-frac`
134×	`add-sqr-sqrt`
116×	`*-un-lft-identity`
69×	`add-cube-cbrt`
34×	`difference-of-squares`
16×	`associate-/r*`
15×	`distribute-lft-out--`
13×	`associate-l`
9×	`add-cbrt-cube` `add-exp-log` `associate-/r/` `associate-/l*`
8×	`div-inv`
4×	`pow1`
3×	`cbrt-undiv` `difference-of-sqr-1` `div-exp` `associate-r`
2×	`expm1-log1p-u` `clear-num` `frac-2neg` `flip3--` `associate-*l/` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp` `associate-/l/`
1×	`div-sub` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 159

Calls

2 calls:

887.0ms	(* (- (/ (- 1 m) (/ v m)) 1) m)
35.0ms	(/ (- 1 m) (/ v m))

series79.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(* (- (/ (- 1 m) (/ v m)) 1) m)
45.0ms	(/ (- 1 m) (/ v m))

simplify1.9s

Counts

165 → 165

Iterations

Iter	Nodes
done	5018
2	2673
1	813
0	277

prune741.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(* m (- 1 m))
0.1b	(* (- (* (* m (- 1 m)) (/ 1 v)) 1) m)
0.3b	(* (* m (- 1 m)) (/ 1 v))

rewrite2.4s

Algorithm

rewrite-expression-head

Rules

125×	`add-sqr-sqrt`
63×	`*-un-lft-identity`
51×	`associate-l`
39×	`unswap-sqr`
35×	`add-cube-cbrt`
31×	`associate-*r/`
29×	`add-exp-log`
28×	`associate-r`
25×	`times-frac`
19×	`add-cbrt-cube`
18×	`frac-times` `prod-diff` `difference-of-squares`
14×	`prod-exp`
12×	`pow1` `flip3--` `flip--`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`associate-/l*`
9×	`associate-/r*`
8×	`cbrt-unprod`
7×	`difference-of-sqr-1`
5×	`pow-prod-down` `distribute-lft-out--`
4×	`clear-num` `div-exp` `associate-l/` `-commutative`
3×	`expm1-log1p-u` `frac-2neg` `un-div-inv` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `rec-exp` `sub-neg` `1-exp`
1×	`div-inv`

Counts

3 → 186

Calls

3 calls:

24.0ms	(* m (- 1 m))
2.2s	(* (- (* (* m (- 1 m)) (/ 1 v)) 1) m)
125.0ms	(* (* m (- 1 m)) (/ 1 v))

series139.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(* m (- 1 m))
32.0ms	(* (- (* (* m (- 1 m)) (/ 1 v)) 1) m)
44.0ms	(* (* m (- 1 m)) (/ 1 v))

simplify2.2s

Counts

195 → 195

Iterations

Iter	Nodes
done	5000
2	1979
1	808
0	288

prune630.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- (/ m (/ v m)) m) (/ (* m (* m m)) v))
0.1b	(* m (* m m))
0.2b	(/ m (/ v m))
7.6b	(/ (* m (* m m)) v)

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

2677×	`add-sqr-sqrt`
1638×	`times-frac`
1429×	`*-un-lft-identity`
1212×	`prod-diff`
1157×	`add-cube-cbrt`
774×	`associate-r`
481×	`associate-/r/`
363×	`difference-of-squares`
356×	`distribute-rgt-out--`
307×	`unswap-sqr`
301×	`associate-/r*`
258×	`associate-l`
188×	`associate-/l*`
173×	`swap-sqr`
158×	`associate--l+`
131×	`*-commutative`
92×	`distribute-lft-out--`
68×	`frac-sub`
35×	`flip3--` `flip--`
30×	`div-inv`
23×	`add-cbrt-cube` `add-exp-log`
18×	`pow1`
12×	`fma-neg`
9×	`add-log-exp`
8×	`clear-num` `frac-2neg`
6×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`diff-log` `pow-prod-down`
2×	`sub-neg` `cube-unmult`
1×	`associate--l-` `pow2` `pow-plus` `pow-sqr`

Counts

4 → 1581

Calls

4 calls:

781.0ms	(- (- (/ m (/ v m)) m) (/ (* m (* m m)) v))
55.0ms	(* m (* m m))
13.0ms	(/ m (/ v m))
74.0ms	(/ (* m (* m m)) v)

series189.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(- (- (/ m (/ v m)) m) (/ (* m (* m m)) v))
48.0ms	(* m (* m m))
35.0ms	(/ m (/ v m))
54.0ms	(/ (* m (* m m)) v)

simplify3.3s

Counts

1593 → 1593

Iterations

Iter	Nodes
done	5001
1	4161
0	1586

prune7.9s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes95.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	10
1	10
0	9

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.4s	13708×	body	80	valid
1.0s	13708×	pre	80	true