Details

sample352.0ms

Algorithm

intervals

Results

67.0ms	468×	body	80	valid
17.0ms	468×	pre	80	true

simplify5.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	8	203
1	16	203
2	38	203
3	105	203
4	344	203
5	1090	203
6	4955	203
done	5000	203

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite194.0ms

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

Counts

3 → 125

Calls

3 calls:

21.0ms	(* m (- 1.0 m))
30.0ms	(/ (* m (- 1.0 m)) v)
134.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series211.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(* m (- 1.0 m))
62.0ms	(/ (* m (- 1.0 m)) v)
63.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify2.4s

Counts

134 → 134

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	223	51842
1	586	43981
2	1905	36173
done	5005	36003

prune619.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

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

rewrite270.0ms

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-cbrt-cube` `add-exp-log`
14×	`associate-*r/`
10×	`associate-l`
7×	`flip3--` `flip--`
6×	`pow1` `associate-/r*` `sub-neg` `add-log-exp`
5×	`associate-r`
4×	`expm1-log1p-u` `cbrt-undiv` `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×	`clear-num` `frac-2neg` `associate-/l*`
1×	`+-commutative` `neg-mul-1` `sum-log` `fma-def` `flip3-+` `distribute-rgt-out` `unsub-neg` `pow-prod-down` `*-commutative` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 241

Calls

4 calls:

55.0ms	(+ (* 1.0 (- (/ (* m (- 1.0 m)) v) 1.0)) (* (- m) (- (/ (* m (- 1.0 m)) v) 1.0)))
24.0ms	(/ (* m (- 1.0 m)) v)
22.0ms	(/ (* m (- 1.0 m)) v)
144.0ms	(* (- m) (- (/ (* m (- 1.0 m)) v) 1.0))

series246.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(+ (* 1.0 (- (/ (* m (- 1.0 m)) v) 1.0)) (* (- m) (- (/ (* m (- 1.0 m)) v) 1.0)))
47.0ms	(/ (* m (- 1.0 m)) v)
73.0ms	(/ (* m (- 1.0 m)) v)
69.0ms	(* (- m) (- (/ (* m (- 1.0 m)) v) 1.0))

simplify4.1s

Counts

253 → 253

Iterations

Useful iterations: done (4.0s)

Iter	Nodes	Cost
0	316	116939
1	1013	100383
2	3572	82307
done	5012	81822

prune1.6s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* m (- 1.0 m)) v)
0.1b	(* m (* m m))
8.3b	(/ (* m (* m m)) v)
14.6b	(/ (* m m) v)

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-cbrt-cube` `add-exp-log`
18×	`pow1`
12×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cube-cbrt`
9×	`associate-/r*` `times-frac`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-l` `pow-prod-down` `div-inv` `associate-/l*`
2×	`associate-*r/` `associate-/l/`
1×	`pow2` `pow-plus` `flip3--` `cube-unmult` `associate-r` `pow-sqr` `*-commutative` `flip--` `unswap-sqr`

Counts

4 → 99

Calls

4 calls:

34.0ms	(/ (* m (- 1.0 m)) v)
25.0ms	(* m (* m m))
18.0ms	(/ (* m (* m m)) v)
9.0ms	(/ (* m m) v)

series217.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(/ (* m (- 1.0 m)) v)
62.0ms	(* m (* m m))
39.0ms	(/ (* m (* m m)) v)
39.0ms	(/ (* m m) v)

simplify1.5s

Counts

111 → 111

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	139	19981
1	386	16836
2	1407	15999
done	5001	15799

prune740.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize76.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ m (/ v (- 1.0 m)))
0.1b	(* m (* m m))
8.3b	(/ (* m (* m m)) v)
14.6b	(/ (* m m) v)

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

129×	`times-frac`
92×	`add-sqr-sqrt`
91×	`*-un-lft-identity`
67×	`add-cube-cbrt`
28×	`add-cbrt-cube` `add-exp-log`
27×	`associate-/r*`
18×	`pow1`
12×	`distribute-lft-out--` `difference-of-squares`
9×	`associate-/r/`
8×	`cbrt-undiv` `div-exp`
7×	`prod-exp` `cbrt-unprod` `div-inv`
5×	`pow-prod-up` `associate-/l*`
4×	`expm1-log1p-u` `flip3--` `log1p-expm1-u` `flip--` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-l` `pow-prod-down`
1×	`pow2` `pow-plus` `cube-unmult` `associate-r` `pow-sqr` `*-commutative` `unswap-sqr`

Counts

4 → 178

Calls

4 calls:

31.0ms	(/ m (/ v (- 1.0 m)))
21.0ms	(* m (* m m))
19.0ms	(/ (* m (* m m)) v)
16.0ms	(/ (* m m) v)

series204.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(/ m (/ v (- 1.0 m)))
66.0ms	(* m (* m m))
39.0ms	(/ (* m (* m m)) v)
34.0ms	(/ (* m m) v)

simplify2.3s

Counts

190 → 190

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	286	54028
1	727	47764
2	2831	46152
done	5150	45832

prune1.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes215.0ms

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	8	203
1	10	203
done	10	203

end0.0ms

sample1.8s

Algorithm

intervals

Results

826.0ms	13853×	pre	80	true
643.0ms	13853×	body	80	valid