Details

sample286.0ms

Algorithm

intervals

Results

67.0ms	443×	body	80	valid
18.0ms	443×	pre	80	true

simplify4.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
10	4954
9	2413
8	1377
7	866
6	573
5	353
4	164
3	65
2	32
1	16
0	8

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* m (- 1.0 m)) v) 1.0)
0.0b	(* m (- 1.0 m))
0.1b	(/ (* m (- 1.0 m)) v)
0.2b	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

rewrite173.0ms

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-cbrt-cube` `add-exp-log`
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/` `log1p-expm1-u` `flip--`
3×	`associate-/r*` `sub-neg` `prod-exp` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `diff-log` `associate-/l*`

Counts

4 → 139

Calls

4 calls:

37.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
29.0ms	(* m (- 1.0 m))
17.0ms	(/ (* m (- 1.0 m)) v)
85.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series252.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
94.0ms	(* m (- 1.0 m))
46.0ms	(/ (* m (- 1.0 m)) v)
67.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify1.6s

Counts

151 → 151

Iterations

Iter	Nodes
done	5001
2	1356
1	555
0	223

prune657.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1.0 m))
0.0b	(/ v (* m (- 1.0 m)))
0.2b	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
0.3b	(/ 1 (/ v (* m (- 1.0 m))))

rewrite322.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 164

Calls

4 calls:

18.0ms	(* m (- 1.0 m))
12.0ms	(/ v (* m (- 1.0 m)))
261.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
18.0ms	(/ 1 (/ v (* m (- 1.0 m))))

series298.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(* m (- 1.0 m))
75.0ms	(/ v (* m (- 1.0 m)))
76.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
61.0ms	(/ 1 (/ v (* m (- 1.0 m))))

simplify2.4s

Counts

176 → 176

Iterations

Iter	Nodes
done	5000
2	1934
1	650
0	281

prune732.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* m (- 1.0 m)) (+ 1.0 m))
0.1b	(/ (* (* m (- 1.0 m)) (+ 1.0 m)) v)
0.1b	(/ (/ (* (* m (- 1.0 m)) (+ 1.0 m)) v) (+ 1.0 m))
0.2b	(* (- (/ (/ (* (* m (- 1.0 m)) (+ 1.0 m)) v) (+ 1.0 m)) 1.0) m)

rewrite499.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 151

Calls

4 calls:

46.0ms	(* (* m (- 1.0 m)) (+ 1.0 m))
31.0ms	(/ (* (* m (- 1.0 m)) (+ 1.0 m)) v)
36.0ms	(/ (/ (* (* m (- 1.0 m)) (+ 1.0 m)) v) (+ 1.0 m))
375.0ms	(* (- (/ (/ (* (* m (- 1.0 m)) (+ 1.0 m)) v) (+ 1.0 m)) 1.0) m)

series334.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(* (* m (- 1.0 m)) (+ 1.0 m))
83.0ms	(/ (* (* m (- 1.0 m)) (+ 1.0 m)) v)
47.0ms	(/ (/ (* (* m (- 1.0 m)) (+ 1.0 m)) v) (+ 1.0 m))
60.0ms	(* (- (/ (/ (* (* m (- 1.0 m)) (+ 1.0 m)) v) (+ 1.0 m)) 1.0) m)

simplify2.4s

Counts

163 → 163

Iterations

Iter	Nodes
done	5003
2	3334
1	705
0	237

prune908.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (/ (/ (* (* m (- 1.0 m)) (+ 1.0 m)) (sqrt v)) (sqrt v)) (+ 1.0 m))
0.2b	(* (- (/ (/ (/ (* (* m (- 1.0 m)) (+ 1.0 m)) (sqrt v)) (sqrt v)) (+ 1.0 m)) 1.0) m)
0.3b	(/ (* (* m (- 1.0 m)) (+ 1.0 m)) (sqrt v))
0.3b	(/ (/ (* (* m (- 1.0 m)) (+ 1.0 m)) (sqrt v)) (sqrt v))

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

849×	`times-frac`
445×	`*-un-lft-identity`
328×	`add-sqr-sqrt`
313×	`add-cube-cbrt`
301×	`sqrt-prod`
75×	`associate-/l*`
65×	`distribute-lft-out`
49×	`add-cbrt-cube` `add-exp-log`
45×	`div-inv`
22×	`cbrt-undiv` `div-exp`
16×	`associate-/r*`
10×	`prod-exp` `cbrt-unprod` `associate-/l/`
8×	`associate-l` `associate-*r/`
6×	`pow1`
4×	`expm1-log1p-u` `frac-times` `flip3-+` `flip3--` `associate-*l/` `flip-+` `log1p-expm1-u` `flip--` `add-log-exp` `difference-of-squares`
3×	`clear-num` `frac-2neg` `associate-r`
2×	`associate-/r/`
1×	`pow-prod-down` `*-commutative` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 512

Calls

4 calls:

71.0ms	(/ (/ (/ (* (* m (- 1.0 m)) (+ 1.0 m)) (sqrt v)) (sqrt v)) (+ 1.0 m))
1.0s	(* (- (/ (/ (/ (* (* m (- 1.0 m)) (+ 1.0 m)) (sqrt v)) (sqrt v)) (+ 1.0 m)) 1.0) m)
38.0ms	(/ (* (* m (- 1.0 m)) (+ 1.0 m)) (sqrt v))
35.0ms	(/ (/ (* (* m (- 1.0 m)) (+ 1.0 m)) (sqrt v)) (sqrt v))

series358.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(/ (/ (/ (* (* m (- 1.0 m)) (+ 1.0 m)) (sqrt v)) (sqrt v)) (+ 1.0 m))
70.0ms	(* (- (/ (/ (/ (* (* m (- 1.0 m)) (+ 1.0 m)) (sqrt v)) (sqrt v)) (+ 1.0 m)) 1.0) m)
105.0ms	(/ (* (* m (- 1.0 m)) (+ 1.0 m)) (sqrt v))
112.0ms	(/ (/ (* (* m (- 1.0 m)) (+ 1.0 m)) (sqrt v)) (sqrt v))

simplify2.8s

Counts

524 → 524

Iterations

Iter	Nodes
done	5000
2	4451
1	1488
0	598

prune2.4s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes181.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	15
1	15
0	11

end0.0ms

sample1.2s

Algorithm

intervals

Results

551.0ms	13719×	body	80	valid
383.0ms	13719×	pre	80	true