Details

sample326.0ms

Algorithm

intervals

Results

9.0ms	387×	body	80	valid
5.0ms	387×	pre	80	true

simplify129.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	5
1	34	5
2	72	5
3	188	5
4	406	5
5	636	5
6	938	5
7	1312	5
8	1969	5
9	2932	5
10	3912	5
11	5001	5
done	5001	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize31.0ms

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

rewrite161.0ms

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:

28.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
24.0ms	(* m (- 1.0 m))
20.0ms	(/ (* m (- 1.0 m)) v)
84.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series165.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
50.0ms	(* m (- 1.0 m))
38.0ms	(/ (* m (- 1.0 m)) v)
51.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify75.0ms

Counts

151 → 151

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	492	1130
1	2310	788
2	5002	775
done	5002	775

prune225.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1.0 m) v)
0.1b	(fma (/ m 1) (/ (- 1.0 m) v) (- 1.0))
0.2b	(* (fma (/ m 1) (/ (- 1.0 m) v) (- 1.0)) m)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 70

Calls

3 calls:

17.0ms	(/ (- 1.0 m) v)
0.0ms	(fma (/ m 1) (/ (- 1.0 m) v) (- 1.0))
10.0ms	(* (fma (/ m 1) (/ (- 1.0 m) v) (- 1.0)) m)

series111.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ (- 1.0 m) v)
34.0ms	(fma (/ m 1) (/ (- 1.0 m) v) (- 1.0))
44.0ms	(* (fma (/ m 1) (/ (- 1.0 m) v) (- 1.0)) m)

simplify158.0ms

Counts

79 → 79

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	270	495
1	918	437
2	4973	434
3	5001	434
done	5001	434

prune177.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 1.0 (/ m v)) (+ 1.0 (/ (pow m 2) v)))
0.2b	(* (- (* 1.0 (/ m v)) (+ 1.0 (/ (pow m 2) v))) m)
13.9b	(/ (pow m 2) v)

rewrite217.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt` `*-un-lft-identity`
24×	`times-frac`
23×	`add-cube-cbrt`
12×	`unpow-prod-down`
10×	`add-exp-log`
8×	`associate-/l*` `add-log-exp`
7×	`add-cbrt-cube`
5×	`pow1`
4×	`associate-r/` `prod-diff` `associate-l/` `frac-sub` `unpow2` `sqr-pow`
3×	`expm1-log1p-u` `div-exp` `associate-r` `associate-l` `associate-/r*` `log1p-expm1-u`
2×	`flip3--` `flip3-+` `diff-log` `flip--` `flip-+`
1×	`cbrt-undiv` `pow-to-exp` `sub-neg` `frac-2neg` `fma-neg` `pow-prod-down` `pow-exp` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `div-inv` `distribute-lft-out` `associate--r+` `unswap-sqr`

Counts

3 → 98

Calls

3 calls:

54.0ms	(- (* 1.0 (/ m v)) (+ 1.0 (/ (pow m 2) v)))
151.0ms	(* (- (* 1.0 (/ m v)) (+ 1.0 (/ (pow m 2) v))) m)
8.0ms	(/ (pow m 2) v)

series85.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(- (* 1.0 (/ m v)) (+ 1.0 (/ (pow m 2) v)))
40.0ms	(* (- (* 1.0 (/ m v)) (+ 1.0 (/ (pow m 2) v))) m)
20.0ms	(/ (pow m 2) v)

simplify60.0ms

Counts

107 → 107

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	431	826
1	1822	708
2	5001	705
done	5001	705

prune227.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (/ m 1) (/ (/ (- 1.0 m) (sqrt v)) (sqrt v)) (- 1.0))
0.2b	(* (fma (/ m 1) (/ (/ (- 1.0 m) (sqrt v)) (sqrt v)) (- 1.0)) m)
0.3b	(/ (- 1.0 m) (sqrt v))
0.3b	(/ (/ (- 1.0 m) (sqrt v)) (sqrt v))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

444×	`times-frac`
314×	`add-sqr-sqrt`
312×	`*-un-lft-identity`
228×	`sqrt-prod`
214×	`add-cube-cbrt`
49×	`distribute-lft-out--` `difference-of-squares`
39×	`associate-/l*`
13×	`add-exp-log` `add-cbrt-cube`
12×	`associate-/r*`
9×	`div-inv`
6×	`pow1`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`div-sub` `associate-r` `associate-l` `associate-/l/`
2×	`frac-2neg` `clear-num`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 350

Calls

4 calls:

0.0ms	(fma (/ m 1) (/ (/ (- 1.0 m) (sqrt v)) (sqrt v)) (- 1.0))
9.0ms	(* (fma (/ m 1) (/ (/ (- 1.0 m) (sqrt v)) (sqrt v)) (- 1.0)) m)
18.0ms	(/ (- 1.0 m) (sqrt v))
29.0ms	(/ (/ (- 1.0 m) (sqrt v)) (sqrt v))

series175.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(fma (/ m 1) (/ (/ (- 1.0 m) (sqrt v)) (sqrt v)) (- 1.0))
47.0ms	(* (fma (/ m 1) (/ (/ (- 1.0 m) (sqrt v)) (sqrt v)) (- 1.0)) m)
48.0ms	(/ (- 1.0 m) (sqrt v))
36.0ms	(/ (/ (- 1.0 m) (sqrt v)) (sqrt v))

simplify90.0ms

Counts

362 → 362

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	953	4132
1	3644	3608
2	5002	3594
done	5002	3594

prune532.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes52.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	7
1	14	7
done	14	7

end0.0ms

sample747.0ms

Algorithm

intervals

Results

287.0ms	13701×	body	80	valid
172.0ms	13701×	pre	80	true