Details

sample48.0ms

Algorithm

intervals

Results

20.0ms

271×

body

valid

simplify2.9s

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.9b

localize12.0ms

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)
12.3b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite280.0ms

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:

115.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
80.0ms	(/ (+ (- t z) 1.0) a)
62.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series361.0ms

Counts

3 → 9

Calls

3 calls:

120.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
42.0ms	(/ (+ (- t z) 1.0) a)
199.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify1.7s

Counts

201 → 201

Iterations

Useful iterations: done (1.6s)

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

prune577.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

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))
0.5b	(* (/ (- y z) (- (+ 1.0 t) z)) a)

rewrite202.0ms

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:

6.0ms	(- x (* (/ (- y z) (- (+ 1.0 t) z)) a))
55.0ms	(/ (- y z) (- (+ 1.0 t) z))
135.0ms	(* (/ (- y z) (- (+ 1.0 t) z)) a)

series384.0ms

Counts

3 → 9

Calls

3 calls:

155.0ms	(- x (* (/ (- y z) (- (+ 1.0 t) z)) a))
73.0ms	(/ (- y z) (- (+ 1.0 t) z))
156.0ms	(* (/ (- y z) (- (+ 1.0 t) z)) a)

simplify1.2s

Counts

134 → 134

Iterations

Useful iterations: 2 (345.0ms)

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

prune414.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

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))
0.1b	(/ 1 (/ (- (+ 1.0 t) z) (- y z)))
0.5b	(* (/ 1 (/ (- (+ 1.0 t) z) (- y z))) a)

rewrite421.0ms

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:

8.0ms	(- x (* (/ 1 (/ (- (+ 1.0 t) z) (- y z))) a))
124.0ms	(/ (- (+ 1.0 t) z) (- y z))
75.0ms	(/ 1 (/ (- (+ 1.0 t) z) (- y z)))
183.0ms	(* (/ 1 (/ (- (+ 1.0 t) z) (- y z))) a)

series506.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(- x (* (/ 1 (/ (- (+ 1.0 t) z) (- y z))) a))
72.0ms	(/ (- (+ 1.0 t) z) (- y z))
124.0ms	(/ 1 (/ (- (+ 1.0 t) z) (- y z)))
150.0ms	(* (/ 1 (/ (- (+ 1.0 t) z) (- y z))) a)

simplify664.0ms

Counts

391 → 391

Iterations

Useful iterations: done (647.0ms)

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

prune813.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt a)
0.6b	(cbrt a)
0.6b	(cbrt a)
3.4b	(/ (- y z) (/ (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0))) (* (cbrt a) (cbrt a))))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac`
22×	`add-exp-log`
19×	`add-cube-cbrt`
14×	`add-cbrt-cube`
9×	`cbrt-undiv` `cbrt-prod` `div-exp`
7×	`div-inv`
6×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`pow1` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow1/3`
2×	`associate-/l/`
1×	`flip3--` `frac-2neg` `div-sub` `clear-num` `associate-/r/` `flip--`

Counts

4 → 92

Calls

4 calls:

1.0ms	(cbrt a)
1.0ms	(cbrt a)
1.0ms	(cbrt a)
73.0ms	(/ (- y z) (/ (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0))) (* (cbrt a) (cbrt a))))

series1.0s

Counts

4 → 12

Calls

4 calls:

256.0ms	(cbrt a)
229.0ms	(cbrt a)
230.0ms	(cbrt a)
292.0ms	(/ (- y z) (/ (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0))) (* (cbrt a) (cbrt a))))

simplify1.2s

Counts

104 → 104

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	191	2448
1	564	2354
2	2696	1956
done	5002	1837

prune435.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes217.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample1.3s

Algorithm

intervals

Results

474.0ms	8447×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid