Details

sample41.0ms

Algorithm

intervals

Results

17.0ms

282×

body

valid

simplify1.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	17	11
2	32	11
3	57	11
4	104	11
5	164	11
6	217	11
7	290	11
8	442	11
9	776	11
10	2270	11
done	5000	11

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.6b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) (- a t)))
0.0b	(* y (- z t))
13.6b	(/ (* y (- z t)) (- a t))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 67

Calls

3 calls:

31.0ms	(+ x (/ (* y (- z t)) (- a t)))
22.0ms	(* y (- z t))
55.0ms	(/ (* y (- z t)) (- a t))

series268.0ms

Counts

3 → 9

Calls

3 calls:

121.0ms	(+ x (/ (* y (- z t)) (- a t)))
41.0ms	(* y (- z t))
106.0ms	(/ (* y (- z t)) (- a t))

simplify857.0ms

Counts

76 → 76

Iterations

Useful iterations: 2 (181.0ms)

Iter	Nodes	Cost
0	128	846
1	350	793
2	1354	715
done	5000	715

prune238.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
1.5b	(* y (/ (- z t) (- a t)))

rewrite112.0ms

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-exp-log` `add-cbrt-cube`
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` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 113

Calls

3 calls:

14.0ms	(+ x (* y (/ (- z t) (- a t))))
44.0ms	(/ (- z t) (- a t))
44.0ms	(* y (/ (- z t) (- a t)))

series281.0ms

Counts

3 → 9

Calls

3 calls:

117.0ms	(+ x (* y (/ (- z t) (- a t))))
64.0ms	(/ (- z t) (- a t))
100.0ms	(* y (/ (- z t) (- a t)))

simplify912.0ms

Counts

122 → 122

Iterations

Useful iterations: done (909.0ms)

Iter	Nodes	Cost
0	162	1555
1	446	1466
2	1787	1374
done	5000	1368

prune458.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- a t) (- z t))))
0.0b	(/ (- a t) (- z t))
1.8b	(/ y (/ (- a t) (- z t)))

rewrite180.0ms

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-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×	`+-commutative` `flip3-+` `div-sub` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 206

Calls

3 calls:

100.0ms	(+ x (/ y (/ (- a t) (- z t))))
29.0ms	(/ (- a t) (- z t))
38.0ms	(/ y (/ (- a t) (- z t)))

series463.0ms

Counts

3 → 9

Calls

3 calls:

171.0ms	(+ x (/ y (/ (- a t) (- z t))))
77.0ms	(/ (- a t) (- z t))
215.0ms	(/ y (/ (- a t) (- z t)))

simplify2.3s

Counts

215 → 215

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	292	3733
1	796	3524
2	3998	3384
done	5000	3378

prune749.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1 (/ (/ (- a t) (- z t)) y)))
0.0b	(/ (- a t) (- z t))
0.5b	(/ 1 (/ (/ (- a t) (- z t)) y))
1.8b	(/ (/ (- a t) (- z t)) y)

rewrite393.0ms

Algorithm

rewrite-expression-head

Rules

1181×	`times-frac`
797×	`*-un-lft-identity`
794×	`add-sqr-sqrt`
450×	`add-cube-cbrt`
172×	`distribute-lft-out--` `difference-of-squares`
105×	`associate-/r*`
39×	`associate-/l*`
35×	`associate-/r/`
32×	`add-exp-log`
24×	`div-inv`
20×	`add-cbrt-cube`
19×	`div-exp`
18×	`flip3--` `flip--`
10×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1`
3×	`rec-exp` `frac-2neg` `1-exp` `div-sub` `clear-num` `associate-/l/`
2×	`distribute-lft-out`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `flip-+` `inv-pow`

Counts

4 → 624

Calls

4 calls:

186.0ms	(+ x (/ 1 (/ (/ (- a t) (- z t)) y)))
31.0ms	(/ (- a t) (- z t))
58.0ms	(/ 1 (/ (/ (- a t) (- z t)) y))
51.0ms	(/ (/ (- a t) (- z t)) y)

series716.0ms

Counts

4 → 12

Calls

4 calls:

270.0ms	(+ x (/ 1 (/ (/ (- a t) (- z t)) y)))
70.0ms	(/ (- a t) (- z t))
254.0ms	(/ 1 (/ (/ (- a t) (- z t)) y))
122.0ms	(/ (/ (- a t) (- z t)) y)

simplify1.9s

Counts

636 → 636

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	725	14223
1	2093	12578
done	5001	12102

prune1.6s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes288.0ms

Accuracy

16.7% (1.1b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.4b

bsearch114.0ms

Steps

Iters	Range		Point
7	2.8050471243533086e-241	2.830825048730298e-239	1.0210321761229472e-240
8	-3.6418544979998184e-153	-2.3233534216131206e-156	-8.395844868879009e-154

simplify8.0ms

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	24	50
1	34	40
done	34	40

end0.0ms

sample1.3s

Algorithm

intervals

Results

678.0ms	8719×	body	80	valid
0.0ms	1×	body	160	valid