Details

sample86.0ms

Algorithm

intervals

Results

12.0ms

261×

body

valid

simplify890.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	12
1	25	12
2	65	12
3	132	12
4	239	12
5	356	12
6	412	12
7	436	12
8	476	12
9	555	12
10	1226	12
done	5000	12

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.9b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
17.7b	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 70

Calls

2 calls:

41.0ms	(* (+ t1 u) (+ t1 u))
24.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series144.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(* (+ t1 u) (+ t1 u))
127.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify1.7s

Counts

76 → 76

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	112	1078
1	422	994
2	3266	834
done	5000	831

prune275.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t1) (+ t1 u))
0.0b	(/ v (+ t1 u))
1.8b	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite124.0ms

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-cbrt-cube` `add-exp-log`
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×	`add-log-exp`
2×	`clear-num` `frac-2neg` `distribute-frac-neg`
1×	`distribute-lft-neg-out` `neg-sub0` `frac-times` `div-sub` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

3 → 192

Calls

3 calls:

22.0ms	(/ (- t1) (+ t1 u))
9.0ms	(/ v (+ t1 u))
84.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series234.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(/ (- t1) (+ t1 u))
33.0ms	(/ v (+ t1 u))
154.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify1.8s

Counts

201 → 201

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	213	2501
1	646	2395
2	3633	2241
done	5000	2231

prune843.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ v (+ t1 u))
0.0b	(/ 1 (+ t1 u))
0.9b	(* (* (- t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
7.0b	(* (- t1) (/ v (+ t1 u)))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

69×	`*-un-lft-identity`
54×	`add-exp-log`
49×	`times-frac`
46×	`add-sqr-sqrt`
41×	`add-cube-cbrt`
36×	`associate-r`
34×	`add-cbrt-cube`
22×	`prod-exp`
14×	`div-exp` `distribute-lft-out`
12×	`pow1` `cbrt-unprod`
11×	`associate-l`
8×	`cbrt-undiv` `associate-/r*` `associate-/r/`
6×	`associate-/l*`
4×	`rec-exp` `flip3-+` `1-exp` `pow-prod-down` `associate-*r/` `flip-+` `div-inv` `add-log-exp`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`clear-num` `frac-2neg` `*-commutative` `unswap-sqr`
1×	`frac-times` `neg-mul-1` `associate-*l/` `un-div-inv` `pow-flip` `inv-pow`

Counts

4 → 167

Calls

4 calls:

17.0ms	(/ v (+ t1 u))
12.0ms	(/ 1 (+ t1 u))
57.0ms	(* (* (- t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
38.0ms	(* (- t1) (/ v (+ t1 u)))

series277.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(/ v (+ t1 u))
58.0ms	(/ 1 (+ t1 u))
103.0ms	(* (* (- t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
68.0ms	(* (- t1) (/ v (+ t1 u)))

simplify3.2s

Counts

179 → 179

Iterations

Useful iterations: 2 (638.0ms)

Iter	Nodes	Cost
0	186	2148
1	577	1915
2	4274	1642
done	5000	1642

prune759.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t1) (+ t1 u))
0.4b	(/ 1 (/ (+ t1 u) v))
1.8b	(* (/ (- t1) (+ t1 u)) (/ 1 (/ (+ t1 u) v)))

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

277×	`times-frac`
230×	`*-un-lft-identity`
175×	`add-sqr-sqrt`
142×	`add-cube-cbrt`
61×	`add-exp-log`
53×	`associate-r`
46×	`associate-l`
42×	`distribute-lft-out`
31×	`add-cbrt-cube`
29×	`div-exp`
27×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
20×	`associate-/r*`
14×	`prod-exp`
13×	`cbrt-undiv` `associate-/l*`
11×	`div-inv`
10×	`unswap-sqr`
9×	`neg-mul-1`
6×	`pow1` `rec-exp` `1-exp` `associate-/r/` `cbrt-unprod`
3×	`add-log-exp`
2×	`clear-num` `frac-2neg` `flip3-+` `distribute-frac-neg` `flip-+`
1×	`distribute-lft-neg-out` `neg-sub0` `frac-times` `div-sub` `pow-prod-down` `associate-l/` `associate-r/` `un-div-inv` `*-commutative` `pow-flip` `inv-pow`

Counts

3 → 301

Calls

3 calls:

11.0ms	(/ (- t1) (+ t1 u))
14.0ms	(/ 1 (/ (+ t1 u) v))
118.0ms	(* (/ (- t1) (+ t1 u)) (/ 1 (/ (+ t1 u) v)))

series336.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(/ (- t1) (+ t1 u))
109.0ms	(/ 1 (/ (+ t1 u) v))
176.0ms	(* (/ (- t1) (+ t1 u)) (/ 1 (/ (+ t1 u) v)))

simplify535.0ms

Counts

310 → 310

Iterations

Useful iterations: done (523.0ms)

Iter	Nodes	Cost
0	347	4771
1	1146	4170
done	5000	3735

prune1.1s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes189.0ms

Accuracy

0% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 4 (5.0ms)

Iter	Nodes	Cost
0	10	14
1	17	14
2	25	14
3	31	14
4	34	13
done	34	13

end0.0ms

sample1.4s

Algorithm

intervals

Results

999.0ms

8252×

body

valid