Details

sample30.0ms

Algorithm

intervals

Results

14.0ms

272×

body

valid

simplify1.9s

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	177	13
5	258	13
6	398	13
7	595	13
8	840	13
9	1061	13
10	1188	13
11	1227	13
12	1232	13
done	1232	13

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

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)
10.2b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite344.0ms

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:

159.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
98.0ms	(/ (+ (- t z) 1.0) a)
63.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series365.0ms

Counts

3 → 9

Calls

3 calls:

129.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
36.0ms	(/ (+ (- t z) 1.0) a)
200.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify1.3s

Counts

201 → 201

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	259	3964
1	692	3697
2	2204	3569
done	5000	3567

prune523.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize13.0ms

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))
0.2b	(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite181.0ms

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-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`associate-r`
2×	`cbrt-undiv` `flip3--` `flip3-+` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `flip-+` `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 → 114

Calls

3 calls:

7.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
50.0ms	(/ (- y z) (+ (- t z) 1.0))
117.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

series352.0ms

Counts

3 → 9

Calls

3 calls:

151.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
60.0ms	(/ (- y z) (+ (- t z) 1.0))
142.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify2.9s

Counts

123 → 123

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	168	1847
1	436	1762
2	1280	1648
3	4612	1644
done	5001	1644

prune408.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a))
0.0b	(/ (+ (- t z) 1.0) (- y z))
0.2b	(* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a)
0.3b	(/ 1 (/ (+ (- t z) 1.0) (- y z)))

rewrite389.0ms

Algorithm

rewrite-expression-head

Rules

447×	`*-un-lft-identity`
392×	`times-frac`
254×	`add-sqr-sqrt`
158×	`add-cube-cbrt`
98×	`associate-l`
82×	`distribute-lft-out` `distribute-lft-out--`
41×	`difference-of-squares`
36×	`add-exp-log` `associate-/r*`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`flip3--` `flip--`
8×	`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×	`associate-+l-` `sub-neg` `pow-flip` `flip3-+` `diff-log` `div-sub` `pow-prod-down` `associate-l/` `-commutative` `flip-+` `inv-pow`

Counts

4 → 338

Calls

4 calls:

5.0ms	(- x (* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a))
94.0ms	(/ (+ (- t z) 1.0) (- y z))
164.0ms	(* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a)
81.0ms	(/ 1 (/ (+ (- t z) 1.0) (- y z)))

series528.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(- x (* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a))
85.0ms	(/ (+ (- t z) 1.0) (- y z))
156.0ms	(* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a)
115.0ms	(/ 1 (/ (+ (- t z) 1.0) (- y z)))

simplify1.4s

Counts

350 → 350

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	358	6380
1	865	5399
2	2123	5000
done	5002	4924

prune1.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite277.0ms

Algorithm

rewrite-expression-head

Rules

275×	`*-un-lft-identity`
221×	`times-frac`
152×	`add-sqr-sqrt`
91×	`add-cube-cbrt`
53×	`distribute-lft-out--`
52×	`distribute-lft-out`
36×	`associate-/r*`
29×	`difference-of-squares`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`associate-+l-` `sub-neg` `flip3-+` `diff-log` `div-sub` `flip-+`

Counts

3 → 210

Calls

3 calls:

109.0ms	(- x (/ a (/ (+ (- t z) 1.0) (- y z))))
83.0ms	(/ (+ (- t z) 1.0) (- y z))
68.0ms	(/ a (/ (+ (- t z) 1.0) (- y z)))

series494.0ms

Counts

3 → 9

Calls

3 calls:

228.0ms	(- x (/ a (/ (+ (- t z) 1.0) (- y z))))
103.0ms	(/ (+ (- t z) 1.0) (- y z))
162.0ms	(/ a (/ (+ (- t z) 1.0) (- y z)))

simplify1.3s

Counts

219 → 219

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	281	4357
1	641	4054
2	2278	3930
done	5000	3924

prune600.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes155.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	13
1	14	13
done	14	13

end0.0ms

sample977.0ms

Algorithm

intervals

Results

637.0ms	8461×	body	80	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid