Details

sample279.0ms

Algorithm

intervals

Results

11.0ms	437×	body	80	valid
7.0ms	437×	pre	80	true

simplify3.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	13
1	16	13
2	40	13
3	106	13
4	305	13
5	863	13
6	2466	13
done	5000	13

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

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

rewrite88.0ms

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-exp-log` `add-cbrt-cube`
10×	`associate-r`
8×	`flip3--` `associate-l` `flip--`
7×	`pow1`
6×	`associate-*r/`
4×	`frac-times` `sub-neg`
3×	`expm1-log1p-u` `times-frac` `prod-exp` `associate-/r*` `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` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

3 → 125

Calls

3 calls:

12.0ms	(* m (- 1.0 m))
57.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
13.0ms	(/ (* m (- 1.0 m)) v)

series136.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(* m (- 1.0 m))
36.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
51.0ms	(/ (* m (- 1.0 m)) v)

simplify879.0ms

Counts

134 → 134

Iterations

Useful iterations: done (875.0ms)

Iter	Nodes	Cost
0	223	2618
1	495	2242
2	1779	1959
done	5001	1921

prune225.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

126×	`prod-diff`
94×	`add-sqr-sqrt`
92×	`*-un-lft-identity`
90×	`add-cube-cbrt`
69×	`distribute-rgt-in` `distribute-lft-in`
60×	`times-frac`
46×	`associate-+l+` `associate-+r+`
20×	`div-inv`
16×	`add-exp-log` `add-cbrt-cube`
14×	`associate-*r/`
10×	`associate-l`
7×	`flip3--` `flip--`
6×	`pow1` `sub-neg` `associate-/r*` `add-log-exp`
5×	`associate-r`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `frac-add` `log1p-expm1-u` `associate-/l/`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `distribute-rgt-neg-in` `prod-exp` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/l*`
1×	`+-commutative` `neg-mul-1` `distribute-rgt-out` `fma-def` `flip3-+` `unsub-neg` `pow-prod-down` `sum-log` `*-commutative` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 241

Calls

4 calls:

29.0ms	(+ (* 1.0 (- (/ (* m (- 1.0 m)) v) 1.0)) (* (- m) (- (/ (* m (- 1.0 m)) v) 1.0)))
10.0ms	(/ (* m (- 1.0 m)) v)
10.0ms	(/ (* m (- 1.0 m)) v)
51.0ms	(* (- m) (- (/ (* m (- 1.0 m)) v) 1.0))

series157.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ (* 1.0 (- (/ (* m (- 1.0 m)) v) 1.0)) (* (- m) (- (/ (* m (- 1.0 m)) v) 1.0)))
40.0ms	(/ (* m (- 1.0 m)) v)
38.0ms	(/ (* m (- 1.0 m)) v)
41.0ms	(* (- m) (- (/ (* m (- 1.0 m)) v) 1.0))

simplify1.2s

Counts

253 → 253

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	316	6515
1	863	5335
2	2947	4571
done	5000	4400

prune583.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 m) v)
0.1b	(/ (* m (- 1.0 m)) v)
0.1b	(* (- (* (/ (- 1.0 m) v) m) 1.0) m)
0.3b	(* (/ (- 1.0 m) v) m)

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
34×	`times-frac`
28×	`add-cube-cbrt`
22×	`associate-l`
18×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-r` `associate-/r` `associate-/l`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `associate-/l/` `add-log-exp`
3×	`flip3--` `associate-*l/` `flip--` `div-inv` `unswap-sqr`
2×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`
1×	`div-sub`

Counts

4 → 127

Calls

4 calls:

8.0ms	(/ (- 1.0 m) v)
10.0ms	(/ (* m (- 1.0 m)) v)
23.0ms	(* (- (* (/ (- 1.0 m) v) m) 1.0) m)
15.0ms	(* (/ (- 1.0 m) v) m)

series143.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(/ (- 1.0 m) v)
38.0ms	(/ (* m (- 1.0 m)) v)
34.0ms	(* (- (* (/ (- 1.0 m) v) m) 1.0) m)
39.0ms	(* (/ (- 1.0 m) v) m)

simplify1.3s

Counts

139 → 139

Iterations

Useful iterations: 2 (326.0ms)

Iter	Nodes	Cost
0	183	1528
1	455	1455
2	1414	1325
done	5000	1325

prune444.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 135

Calls

4 calls:

65.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (- 1.0 m))
9.0ms	(* v (+ 1.0 m))
10.0ms	(* m (- (* 1.0 1.0) (* m m)))
10.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))

series235.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (- 1.0 m))
31.0ms	(* v (+ 1.0 m))
70.0ms	(* m (- (* 1.0 1.0) (* m m)))
71.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))

simplify1.3s

Counts

147 → 147

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	255	3578
1	664	3317
2	2949	2936
done	5001	2916

prune294.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes44.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	35
1	31	35
done	31	35

end0.0ms

sample739.0ms

Algorithm

intervals

Results

328.0ms	13730×	body	80	valid
189.0ms	13730×	pre	80	true