Details

sample35.0ms

Algorithm

intervals

Results

13.0ms

273×

body

valid

simplify2.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.7b

localize11.0ms

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)
8.4b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite318.0ms

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:

142.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
101.0ms	(/ (+ (- t z) 1.0) a)
63.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series381.0ms

Counts

3 → 9

Calls

3 calls:

146.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
49.0ms	(/ (+ (- t z) 1.0) a)
185.0ms	(/ (- 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

prune610.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize32.0ms

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))
1.8b	(* (/ (- y z) (- (+ 1.0 t) z)) a)

rewrite286.0ms

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:

11.0ms	(- x (* (/ (- y z) (- (+ 1.0 t) z)) a))
65.0ms	(/ (- y z) (- (+ 1.0 t) z))
195.0ms	(* (/ (- y z) (- (+ 1.0 t) z)) a)

series491.0ms

Counts

3 → 9

Calls

3 calls:

174.0ms	(- x (* (/ (- y z) (- (+ 1.0 t) z)) a))
71.0ms	(/ (- y z) (- (+ 1.0 t) z))
246.0ms	(* (/ (- y z) (- (+ 1.0 t) z)) a)

simplify1.2s

Counts

134 → 134

Iterations

Useful iterations: 2 (429.0ms)

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

prune449.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (+ (- t z) 1.0))
0.4b	(cbrt (+ (- t z) 1.0))
0.4b	(cbrt (+ (- t z) 1.0))
3.4b	(/ (/ (- y z) (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0)))) (/ (cbrt (+ (- t z) 1.0)) a))

rewrite349.0ms

Algorithm

rewrite-expression-head

Rules

1053×	`times-frac`
678×	`*-un-lft-identity`
393×	`add-sqr-sqrt`
354×	`cbrt-div`
335×	`add-cube-cbrt`
285×	`cbrt-prod`
233×	`associate-/r/`
177×	`flip3-+` `flip-+`
116×	`frac-times`
114×	`distribute-lft-out`
86×	`distribute-lft-out--`
58×	`associate-r/` `associate-l/`
48×	`div-inv`
29×	`difference-of-squares`
28×	`associate-/r*`
25×	`add-exp-log`
18×	`add-cbrt-cube`
17×	`associate-/l*`
13×	`cbrt-undiv` `div-exp`
4×	`pow1` `add-log-exp`
3×	`pow1/3`
2×	`div-sub` `prod-exp` `cbrt-unprod`
1×	`frac-2neg` `clear-num` `associate-/l/`

Counts

4 → 591

Calls

4 calls:

19.0ms	(cbrt (+ (- t z) 1.0))
25.0ms	(cbrt (+ (- t z) 1.0))
30.0ms	(cbrt (+ (- t z) 1.0))
201.0ms	(/ (/ (- y z) (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0)))) (/ (cbrt (+ (- t z) 1.0)) a))

series583.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(cbrt (+ (- t z) 1.0))
163.0ms	(cbrt (+ (- t z) 1.0))
115.0ms	(cbrt (+ (- t z) 1.0))
170.0ms	(/ (/ (- y z) (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0)))) (/ (cbrt (+ (- t z) 1.0)) a))

simplify1.6s

Counts

603 → 603

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	794	29049
1	2879	27853
done	5001	27120

prune2.7s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

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))
2.0b	(/ (/ (- y z) (- (+ 1.0 t) z)) (/ 1 a))

rewrite537.0ms

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:

278.0ms	(- x (/ (/ (- y z) (- (+ 1.0 t) z)) (/ 1 a)))
54.0ms	(/ (- y z) (- (+ 1.0 t) z))
99.0ms	(/ (/ (- y z) (- (+ 1.0 t) z)) (/ 1 a))

series376.0ms

Counts

3 → 9

Calls

3 calls:

133.0ms	(- x (/ (/ (- y z) (- (+ 1.0 t) z)) (/ 1 a)))
72.0ms	(/ (- y z) (- (+ 1.0 t) z))
170.0ms	(/ (/ (- y z) (- (+ 1.0 t) z)) (/ 1 a))

simplify1.3s

Counts

630 → 630

Iterations

Useful iterations: done (1.2s)

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

prune1.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes112.0ms

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	13
1	14	13
done	14	13

end0.0ms

sample1.1s

Algorithm

intervals

Results

485.0ms

8509×

body

valid