Details

sample34.0ms

Algorithm

intervals

Results

15.0ms

278×

body

valid

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
29	4873
28	4661
27	4456
26	4244
25	4037
24	3825
23	3620
22	3408
21	3199
20	2984
19	2775
18	2560
17	2343
16	2094
15	1816
14	1445
13	1266
12	898
11	542
10	315
9	258
8	217
7	197
6	168
5	129
4	86
3	53
2	34
1	20
0	10

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 113

Calls

3 calls:

8.0ms	(+ x (* y (/ (- z t) (- a t))))
33.0ms	(/ (- z t) (- a t))
57.0ms	(* y (/ (- z t) (- a t)))

series253.0ms

Counts

3 → 9

Calls

3 calls:

103.0ms	(+ x (* y (/ (- z t) (- a t))))
60.0ms	(/ (- z t) (- a t))
90.0ms	(* y (/ (- z t) (- a t)))

simplify1.4s

Counts

122 → 122

Iterations

Iter	Nodes
done	5003
2	1370
1	439
0	162

prune798.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
0.0b	(/ (- a t) (- z t))
0.2b	(/ 1 (/ (- a t) (- z t)))
1.3b	(* y (/ 1 (/ (- a t) (- z t))))

rewrite185.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
336×	`add-sqr-sqrt`
324×	`*-un-lft-identity`
158×	`add-cube-cbrt`
98×	`associate-r`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*` `add-exp-log`
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-l` `cbrt-unprod`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`+-commutative` `sum-log` `flip3-+` `div-sub` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `flip-+` `pow-flip` `inv-pow`

Counts

4 → 338

Calls

4 calls:

4.0ms	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
25.0ms	(/ (- a t) (- z t))
42.0ms	(/ 1 (/ (- a t) (- z t)))
89.0ms	(* y (/ 1 (/ (- a t) (- z t))))

series626.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
74.0ms	(/ (- a t) (- z t))
170.0ms	(/ 1 (/ (- a t) (- z t)))
227.0ms	(* y (/ 1 (/ (- a t) (- z t))))

simplify2.1s

Counts

350 → 350

Iterations

Iter	Nodes
done	5023
2	2887
1	1074
0	373

prune1.7s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- a t) (- z t))))
0.0b	(/ (- a t) (- z t))
1.1b	(/ y (/ (- a t) (- z t)))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 206

Calls

3 calls:

52.0ms	(+ x (/ y (/ (- a t) (- z t))))
18.0ms	(/ (- a t) (- z t))
47.0ms	(/ y (/ (- a t) (- z t)))

series577.0ms

Counts

3 → 9

Calls

3 calls:

241.0ms	(+ x (/ y (/ (- a t) (- z t))))
90.0ms	(/ (- a t) (- z t))
245.0ms	(/ y (/ (- a t) (- z t)))

simplify2.0s

Counts

215 → 215

Iterations

Iter	Nodes
done	5002
2	2701
1	780
0	292

prune1.4s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ a (- z t))
0.0b	(- (/ a (- z t)) (/ t (- z t)))
0.0b	(/ t (- z t))
1.1b	(/ y (- (/ a (- z t)) (/ t (- z t))))

rewrite307.0ms

Algorithm

rewrite-expression-head

Rules

203×	`*-un-lft-identity`
174×	`times-frac`
153×	`add-sqr-sqrt`
68×	`distribute-lft-out--`
57×	`add-cube-cbrt`
38×	`difference-of-squares`
28×	`associate-/r*` `associate-/r/`
15×	`distribute-rgt-out--`
14×	`flip3--` `flip--`
13×	`div-inv`
10×	`add-cbrt-cube` `add-exp-log`
9×	`associate-/l*`
6×	`add-log-exp`
4×	`pow1`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp`
2×	`frac-sub` `sub-div`
1×	`sub-neg` `diff-log`

Counts

4 → 194

Calls

4 calls:

13.0ms	(/ a (- z t))
132.0ms	(- (/ a (- z t)) (/ t (- z t)))
18.0ms	(/ t (- z t))
134.0ms	(/ y (- (/ a (- z t)) (/ t (- z t))))

series396.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(/ a (- z t))
102.0ms	(- (/ a (- z t)) (/ t (- z t)))
62.0ms	(/ t (- z t))
182.0ms	(/ y (- (/ a (- z t)) (/ t (- z t))))

simplify1.9s

Counts

206 → 206

Iterations

Iter	Nodes
done	5003
2	1737
1	550
0	272

prune1.4s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes473.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	11

end0.0ms

sample1.4s

Algorithm

intervals

Results

537.0ms	8776×	body	80	valid
0.0ms	1×	body	320	valid