Details

sample165.0ms

Algorithm

intervals

Results

20.0ms

263×

body

valid

simplify6.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
12	3907
11	1489
10	679
9	462
8	400
7	366
6	330
5	271
4	222
3	134
2	65
1	25
0	8

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.6b

localize37.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
15.3b	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
16×	`add-exp-log` `add-cbrt-cube`
12×	`flip3-+` `flip-+`
9×	`pow1`
8×	`add-sqr-sqrt` `frac-times` `associate-/r/`
6×	`add-cube-cbrt` `swap-sqr` `distribute-lft-out`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `associate-r/` `div-exp` `associate-r` `associate-l` `associate-l/`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`distribute-lft-neg-out` `pow2` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `times-frac` `pow-plus` `distribute-frac-neg` `pow-prod-down` `clear-num` `associate-/r` `pow-sqr` `-commutative` `pow-prod-up` `div-inv` `associate-/l*` `unswap-sqr`

Counts

2 → 74

Calls

2 calls:

72.0ms	(* (+ t1 u) (+ t1 u))
47.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series186.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(* (+ t1 u) (+ t1 u))
149.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify2.5s

Counts

80 → 80

Iterations

Iter	Nodes
done	5000
2	2018
1	433
0	117

prune541.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t1) (+ t1 u))
0.0b	(/ v (+ t1 u))
0.8b	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite221.0ms

Algorithm

rewrite-expression-head

Rules

125×	`*-un-lft-identity`
108×	`times-frac`
81×	`add-sqr-sqrt`
69×	`add-cube-cbrt`
46×	`associate-l`
28×	`distribute-lft-out`
27×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
19×	`add-exp-log` `add-cbrt-cube`
18×	`associate-r`
13×	`associate-/l*`
9×	`neg-mul-1`
8×	`associate-/r*` `associate-/r/`
6×	`cbrt-undiv` `div-exp`
5×	`pow1`
4×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `distribute-frac-neg` `clear-num`
1×	`distribute-lft-neg-out` `neg-sub0` `frac-times` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

3 → 198

Calls

3 calls:

29.0ms	(/ (- t1) (+ t1 u))
29.0ms	(/ v (+ t1 u))
146.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series380.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(/ (- t1) (+ t1 u))
57.0ms	(/ v (+ t1 u))
243.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify3.1s

Counts

207 → 207

Iterations

Iter	Nodes
done	5007
2	2443
1	653
0	219

prune1.3s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ t1 u))
0.0b	(/ (- t1) (+ t1 u))
0.2b	(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
3.2b	(* (/ (- t1) (+ t1 u)) v)

rewrite305.0ms

Algorithm

rewrite-expression-head

Rules

127×	`*-un-lft-identity`
105×	`times-frac`
76×	`add-sqr-sqrt`
71×	`add-cube-cbrt`
54×	`add-exp-log`
47×	`associate-l`
34×	`add-cbrt-cube`
28×	`distribute-lft-out`
27×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
22×	`prod-exp`
21×	`associate-r`
14×	`div-exp`
13×	`associate-/l*`
12×	`pow1` `cbrt-unprod`
9×	`neg-mul-1`
8×	`cbrt-undiv` `associate-/r*` `associate-/r/`
4×	`expm1-log1p-u` `rec-exp` `flip3-+` `1-exp` `pow-prod-down` `associate-*l/` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`distribute-lft-neg-out` `distribute-frac-neg`
2×	`frac-2neg` `clear-num` `*-commutative` `unswap-sqr`
1×	`neg-sub0` `frac-times` `pow-flip` `div-sub` `associate-*r/` `un-div-inv` `inv-pow`

Counts

4 → 233

Calls

4 calls:

27.0ms	(/ 1 (+ t1 u))
28.0ms	(/ (- t1) (+ t1 u))
149.0ms	(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
80.0ms	(* (/ (- t1) (+ t1 u)) v)

series508.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(/ 1 (+ t1 u))
76.0ms	(/ (- t1) (+ t1 u))
219.0ms	(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
150.0ms	(* (/ (- t1) (+ t1 u)) v)

simplify3.1s

Counts

245 → 245

Iterations

Iter	Nodes
done	5000
2	2105
1	670
0	249

prune1.7s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ t1 u))
0.2b	(* (* (/ -1 (/ (+ t1 u) t1)) v) (/ 1 (+ t1 u)))
0.6b	(/ -1 (/ (+ t1 u) t1))
3.2b	(* (/ -1 (/ (+ t1 u) t1)) v)

rewrite363.0ms

Algorithm

rewrite-expression-head

Rules

207×	`times-frac`
168×	`*-un-lft-identity`
121×	`add-sqr-sqrt`
112×	`add-cube-cbrt`
82×	`add-exp-log`
54×	`associate-l`
52×	`add-cbrt-cube`
31×	`prod-exp`
28×	`div-exp` `distribute-lft-out`
21×	`associate-r`
20×	`associate-/r*`
17×	`cbrt-undiv` `cbrt-unprod`
12×	`pow1`
11×	`div-inv`
6×	`associate-/r/` `associate-/l*`
5×	`rec-exp` `1-exp`
4×	`expm1-log1p-u` `pow-prod-down` `associate-*l/` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`frac-2neg` `flip3-+` `clear-num` `*-commutative` `flip-+`
1×	`frac-times` `pow-flip` `associate-*r/` `un-div-inv` `inv-pow`

Counts

4 → 259

Calls

4 calls:

25.0ms	(/ 1 (+ t1 u))
183.0ms	(* (* (/ -1 (/ (+ t1 u) t1)) v) (/ 1 (+ t1 u)))
37.0ms	(/ -1 (/ (+ t1 u) t1))
91.0ms	(* (/ -1 (/ (+ t1 u) t1)) v)

series582.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(/ 1 (+ t1 u))
258.0ms	(* (* (/ -1 (/ (+ t1 u) t1)) v) (/ 1 (+ t1 u)))
87.0ms	(/ -1 (/ (+ t1 u) t1))
158.0ms	(* (/ -1 (/ (+ t1 u) t1)) v)

simplify3.4s

Counts

271 → 271

Iterations

Iter	Nodes
done	5008
2	3134
1	897
0	319

prune1.9s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes340.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify18.0ms

Iterations

Iter	Nodes
done	44
5	44
4	41
3	32
2	21
1	17
0	10

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.2s

8243×

body

valid