Details

sample38.0ms

Algorithm

intervals

Results

17.0ms

268×

body

valid

simplify2.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	246
1	25	246
2	58	246
3	105	246
4	255	246
5	902	246
6	4036	246
done	5001	246

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ (- t z) 1.0) a)
0.0b	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
9.5b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite230.0ms

Algorithm

rewrite-expression-head

Rules

239×	`*-un-lft-identity`
203×	`times-frac`
136×	`add-sqr-sqrt`
87×	`add-cube-cbrt`
44×	`distribute-lft-out`
43×	`distribute-lft-out--`
23×	`difference-of-squares`
22×	`associate-/r*`
10×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `div-sub`
2×	`clear-num` `frac-2neg` `flip3--` `flip--`
1×	`sub-neg` `flip3-+` `diff-log` `associate-/r/` `associate-+l-` `flip-+` `associate--r-`

Counts

3 → 192

Calls

3 calls:

71.0ms	(/ (+ (- t z) 1.0) a)
97.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
47.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series373.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(/ (+ (- t z) 1.0) a)
137.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
180.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify2.2s

Counts

201 → 201

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	261	82406
1	781	77916
2	3717	75916
done	5002	75836

prune902.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
0.0b	(/ (- y z) (+ (- t z) 1.0))
0.9b	(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

104×	`*-un-lft-identity`
54×	`add-sqr-sqrt`
51×	`times-frac`
31×	`associate-l`
27×	`add-cube-cbrt`
22×	`distribute-lft-out` `distribute-lft-out--`
11×	`difference-of-squares`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`associate-r`
2×	`cbrt-undiv` `flip3-+` `flip3--` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `flip--` `unswap-sqr` `associate-/l/`
1×	`clear-num` `sub-neg` `frac-2neg` `diff-log` `div-sub` `pow-prod-down` `associate-l/` `-commutative`

Counts

3 → 114

Calls

3 calls:

4.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
47.0ms	(/ (- y z) (+ (- t z) 1.0))
97.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

series382.0ms

Counts

3 → 9

Calls

3 calls:

143.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
74.0ms	(/ (- y z) (+ (- t z) 1.0))
164.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify1.6s

Counts

123 → 123

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	168	35767
1	446	33882
2	1840	33441
done	5001	33361

prune596.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
0.0b	(/ (- y z) (+ (- t z) 1.0))
1.0b	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

rewrite375.0ms

Algorithm

rewrite-expression-head

Rules

1079×	`times-frac`
929×	`*-un-lft-identity`
570×	`add-sqr-sqrt`
393×	`add-cube-cbrt`
153×	`distribute-lft-out--`
152×	`distribute-lft-out`
83×	`difference-of-squares`
48×	`div-inv`
36×	`associate-/l*`
31×	`associate-/r/`
27×	`add-exp-log`
18×	`associate-/r*`
17×	`add-cbrt-cube` `div-exp`
15×	`flip3-+` `flip-+`
9×	`cbrt-undiv`
5×	`div-sub` `add-log-exp`
3×	`pow1` `associate-/l/`
2×	`rec-exp` `clear-num` `frac-2neg` `flip3--` `1-exp` `flip--`
1×	`sub-neg` `diff-log` `associate--r-`

Counts

3 → 545

Calls

3 calls:

195.0ms	(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
47.0ms	(/ (- y z) (+ (- t z) 1.0))
70.0ms	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

series374.0ms

Counts

3 → 9

Calls

3 calls:

146.0ms	(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
65.0ms	(/ (- y z) (+ (- t z) 1.0))
163.0ms	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

simplify1.6s

Counts

554 → 554

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	627	339114
1	2210	278433
done	5001	277711

prune1.8s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ 1 (/ (/ 1 a) (/ (- y z) (+ (- t z) 1.0)))))
0.0b	(/ (- y z) (+ (- t z) 1.0))
0.6b	(/ 1 (/ (/ 1 a) (/ (- y z) (+ (- t z) 1.0))))
0.9b	(/ (/ 1 a) (/ (- y z) (+ (- t z) 1.0)))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

6358×	`times-frac`
4613×	`*-un-lft-identity`
2978×	`add-sqr-sqrt`
2247×	`add-cube-cbrt`
674×	`distribute-lft-out--`
672×	`distribute-lft-out`
444×	`associate-/r*`
351×	`difference-of-squares`
230×	`div-inv`
140×	`associate-/r/`
106×	`add-exp-log`
83×	`div-exp`
67×	`flip3-+` `flip-+`
36×	`add-cbrt-cube`
22×	`cbrt-undiv`
21×	`associate-/l*`
17×	`rec-exp` `1-exp`
6×	`add-log-exp`
5×	`pow1`
3×	`clear-num` `frac-2neg` `associate-/l/`
2×	`flip3--` `flip--`
1×	`sub-neg` `diff-log` `div-sub` `pow-flip` `inv-pow`

Counts

4 → 2232

Calls

4 calls:

483.0ms	(- x (/ 1 (/ (/ 1 a) (/ (- y z) (+ (- t z) 1.0)))))
67.0ms	(/ (- y z) (+ (- t z) 1.0))
166.0ms	(/ 1 (/ (/ 1 a) (/ (- y z) (+ (- t z) 1.0))))
88.0ms	(/ (/ 1 a) (/ (- y z) (+ (- t z) 1.0)))

series622.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(- x (/ 1 (/ (/ 1 a) (/ (- y z) (+ (- t z) 1.0)))))
70.0ms	(/ (- y z) (+ (- t z) 1.0))
118.0ms	(/ 1 (/ (/ 1 a) (/ (- y z) (+ (- t z) 1.0))))
274.0ms	(/ (/ 1 a) (/ (- y z) (+ (- t z) 1.0)))

simplify2.8s

Counts

2244 → 2244

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	1909	1579563
done	5000	1451914

prune9.6s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes622.0ms

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	12	246
1	14	246
done	14	246

end0.0ms

sample1.1s

Algorithm

intervals

Results

811.0ms	8428×	body	80	valid
0.0ms	1×	body	640	valid