Details

sample51.0ms

Algorithm

intervals

Results

19.0ms

267×

body

valid

simplify3.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	13
1	25	13
2	58	13
3	105	13
4	255	13
5	908	13
6	3977	13
done	5000	13

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.1b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
0.0b	(/ (+ (- t z) 1.0) a)
9.6b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite343.0ms

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-exp-log` `add-cbrt-cube` `associate-/l*`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `div-sub`
2×	`flip3--` `frac-2neg` `clear-num` `flip--`
1×	`associate-+l-` `sub-neg` `flip3-+` `diff-log` `associate-/r/` `flip-+` `associate--r-`

Counts

3 → 192

Calls

3 calls:

148.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
81.0ms	(/ (+ (- t z) 1.0) a)
87.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series394.0ms

Counts

3 → 9

Calls

3 calls:

147.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
50.0ms	(/ (+ (- t z) 1.0) a)
197.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify1.7s

Counts

201 → 201

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	259	3964
1	777	3751
2	3702	3575
done	5000	3569

prune988.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* (/ (- y z) (- (+ 1.0 t) z)) a))
0.0b	(/ (- y z) (- (+ 1.0 t) z))
1.2b	(* (/ (- y z) (- (+ 1.0 t) z)) a)

rewrite258.0ms

Algorithm

rewrite-expression-head

Rules

110×	`*-un-lft-identity`
82×	`add-sqr-sqrt`
61×	`times-frac`
36×	`associate-l`
35×	`distribute-lft-out--`
29×	`add-cube-cbrt`
24×	`difference-of-squares`
11×	`distribute-lft-out`
10×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r*`
5×	`pow1` `associate-/l*` `add-log-exp`
4×	`flip3--` `associate-/r/` `flip--`
3×	`associate-r`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`sub-neg` `frac-2neg` `diff-log` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

3 → 125

Calls

3 calls:

10.0ms	(- x (* (/ (- y z) (- (+ 1.0 t) z)) a))
71.0ms	(/ (- y z) (- (+ 1.0 t) z))
164.0ms	(* (/ (- y z) (- (+ 1.0 t) z)) a)

series372.0ms

Counts

3 → 9

Calls

3 calls:

114.0ms	(- x (* (/ (- y z) (- (+ 1.0 t) z)) a))
58.0ms	(/ (- y z) (- (+ 1.0 t) z))
200.0ms	(* (/ (- y z) (- (+ 1.0 t) z)) a)

simplify1.3s

Counts

134 → 134

Iterations

Useful iterations: 2 (361.0ms)

Iter	Nodes	Cost
0	183	2046
1	486	1961
2	2064	1847
done	5001	1847

prune749.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (/ 1 (/ (- (+ 1.0 t) z) (- y z))) a))
0.0b	(/ (- (+ 1.0 t) z) (- y z))
0.4b	(/ 1 (/ (- (+ 1.0 t) z) (- y z)))
1.2b	(* (/ 1 (/ (- (+ 1.0 t) z) (- y z))) a)

rewrite501.0ms

Algorithm

rewrite-expression-head

Rules

481×	`*-un-lft-identity`
462×	`times-frac`
370×	`add-sqr-sqrt`
176×	`add-cube-cbrt`
131×	`distribute-lft-out--`
113×	`associate-l`
90×	`difference-of-squares`
41×	`associate-/r*` `distribute-lft-out`
36×	`add-exp-log`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`flip3--` `flip--` `div-inv`
9×	`associate-/l*`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`add-log-exp`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-r` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`sub-neg` `pow-flip` `diff-log` `div-sub` `pow-prod-down` `associate-l/` `-commutative` `inv-pow`

Counts

4 → 379

Calls

4 calls:

5.0ms	(- x (* (/ 1 (/ (- (+ 1.0 t) z) (- y z))) a))
106.0ms	(/ (- (+ 1.0 t) z) (- y z))
74.0ms	(/ 1 (/ (- (+ 1.0 t) z) (- y z)))
267.0ms	(* (/ 1 (/ (- (+ 1.0 t) z) (- y z))) a)

series641.0ms

Counts

4 → 12

Calls

4 calls:

219.0ms	(- x (* (/ 1 (/ (- (+ 1.0 t) z) (- y z))) a))
89.0ms	(/ (- (+ 1.0 t) z) (- y z))
147.0ms	(/ 1 (/ (- (+ 1.0 t) z) (- y z)))
185.0ms	(* (/ 1 (/ (- (+ 1.0 t) z) (- y z))) a)

simplify801.0ms

Counts

391 → 391

Iterations

Useful iterations: done (776.0ms)

Iter	Nodes	Cost
0	404	7279
1	1186	6491
done	5000	5999

prune1.6s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (/ (- y z) (- (+ 1.0 t) z)) (/ 1 a)))
0.0b	(/ (- y z) (- (+ 1.0 t) z))
1.3b	(/ (/ (- y z) (- (+ 1.0 t) z)) (/ 1 a))

rewrite527.0ms

Algorithm

rewrite-expression-head

Rules

1264×	`times-frac`
1009×	`*-un-lft-identity`
802×	`add-sqr-sqrt`
443×	`add-cube-cbrt`
244×	`distribute-lft-out--`
174×	`difference-of-squares`
76×	`distribute-lft-out`
53×	`div-inv`
41×	`associate-/l*`
31×	`associate-/r/`
27×	`add-exp-log`
19×	`associate-/r*`
17×	`flip3--` `div-exp` `add-cbrt-cube` `flip--`
9×	`cbrt-undiv`
5×	`div-sub` `add-log-exp`
3×	`pow1` `associate-/l/`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`sub-neg` `diff-log` `associate--r-`

Counts

3 → 621

Calls

3 calls:

231.0ms	(- x (/ (/ (- y z) (- (+ 1.0 t) z)) (/ 1 a)))
75.0ms	(/ (- y z) (- (+ 1.0 t) z))
142.0ms	(/ (/ (- y z) (- (+ 1.0 t) z)) (/ 1 a))

series421.0ms

Counts

3 → 9

Calls

3 calls:

142.0ms	(- x (/ (/ (- y z) (- (+ 1.0 t) z)) (/ 1 a)))
77.0ms	(/ (- y z) (- (+ 1.0 t) z))
202.0ms	(/ (/ (- y z) (- (+ 1.0 t) z)) (/ 1 a))

simplify1.2s

Counts

630 → 630

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	734	17751
1	2468	15361
done	5000	15207

prune1.5s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes279.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	15
1	18	15
done	18	15

end0.0ms

sample1.5s

Algorithm

intervals

Results

860.0ms	8509×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid