Details

sample201.0ms

Algorithm

intervals

Results

26.0ms	426×	body	80	valid
12.0ms	426×	pre	80	true

simplify9.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize21.0ms

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)

rewrite340.0ms

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:

59.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
51.0ms	(* m (- 1.0 m))
44.0ms	(/ (* m (- 1.0 m)) v)
174.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series244.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
65.0ms	(* m (- 1.0 m))
59.0ms	(/ (* m (- 1.0 m)) v)
88.0ms	(* (- (/ (* 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

prune361.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite43.0ms

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:

26.0ms	(/ (- 1.0 m) v)
1.0ms	(fma (/ (- 1.0 m) v) m (- 1.0))
14.0ms	(* (fma (/ (- 1.0 m) v) m (- 1.0)) m)

series177.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(/ (- 1.0 m) v)
54.0ms	(fma (/ (- 1.0 m) v) m (- 1.0))
57.0ms	(* (fma (/ (- 1.0 m) v) m (- 1.0)) m)

simplify1.6s

Counts

79 → 79

Iterations

Useful iterations: 3 (769.0ms)

Iter	Nodes	Cost
0	122	941
1	267	917
2	687	822
3	1983	810
done	5002	810

prune233.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(* v (fma 1.0 1.0 (* m (+ 1.0 m))))
0.1b	(/ (- (pow 1.0 3) (pow m 3)) (* v (fma 1.0 1.0 (* m (+ 1.0 m)))))
0.1b	(fma (/ (- (pow 1.0 3) (pow m 3)) (* v (fma 1.0 1.0 (* m (+ 1.0 m))))) m (- 1.0))
0.1b	(* (fma (/ (- (pow 1.0 3) (pow m 3)) (* v (fma 1.0 1.0 (* m (+ 1.0 m))))) m (- 1.0)) m)

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

62×	`add-sqr-sqrt`
32×	`difference-of-squares`
30×	`*-un-lft-identity`
25×	`times-frac` `associate-/l*`
24×	`unpow-prod-down` `cube-prod`
16×	`sqr-pow`
13×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `distribute-lft-out--`
8×	`pow1`
6×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`prod-exp` `cbrt-unprod` `fma-udef`
2×	`difference-cubes` `cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `associate-/l/` `unswap-sqr`
1×	`distribute-rgt-in` `flip3--` `frac-2neg` `distribute-lft-in` `div-sub` `clear-num` `associate-/r*` `flip--` `div-inv`

Counts

4 → 122

Calls

4 calls:

11.0ms	(* v (fma 1.0 1.0 (* m (+ 1.0 m))))
111.0ms	(/ (- (pow 1.0 3) (pow m 3)) (* v (fma 1.0 1.0 (* m (+ 1.0 m)))))
0.0ms	(fma (/ (- (pow 1.0 3) (pow m 3)) (* v (fma 1.0 1.0 (* m (+ 1.0 m))))) m (- 1.0))
12.0ms	(* (fma (/ (- (pow 1.0 3) (pow m 3)) (* v (fma 1.0 1.0 (* m (+ 1.0 m))))) m (- 1.0)) m)

series481.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* v (fma 1.0 1.0 (* m (+ 1.0 m))))
152.0ms	(/ (- (pow 1.0 3) (pow m 3)) (* v (fma 1.0 1.0 (* m (+ 1.0 m)))))
112.0ms	(fma (/ (- (pow 1.0 3) (pow m 3)) (* v (fma 1.0 1.0 (* m (+ 1.0 m))))) m (- 1.0))
123.0ms	(* (fma (/ (- (pow 1.0 3) (pow m 3)) (* v (fma 1.0 1.0 (* m (+ 1.0 m))))) m (- 1.0)) m)

simplify1.3s

Counts

134 → 134

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	213	3089
1	510	2997
2	1649	2682
done	5002	2678

prune581.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1.0 m))
0.0b	(/ (* m (- 1.0 m)) v)
0.2b	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
0.4b	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

rewrite390.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 124

Calls

4 calls:

40.0ms	(* m (- 1.0 m))
44.0ms	(/ (* m (- 1.0 m)) v)
143.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
159.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

series310.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* m (- 1.0 m))
50.0ms	(/ (* m (- 1.0 m)) v)
123.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
72.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

simplify2.0s

Counts

136 → 136

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	222	2083
1	520	1758
2	1504	1494
done	5000	1451

prune350.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes125.0ms

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	8	11
1	9	11
done	9	11

end0.0ms

sample1.7s

Algorithm

intervals

Results

818.0ms	13690×	body	80	valid
359.0ms	13690×	pre	80	true