Details

sample45.0ms

Algorithm

intervals

Results

18.0ms

275×

body

valid

simplify1.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	11
1	20	11
2	34	11
3	55	11
4	95	11
5	157	11
6	246	11
7	282	11
8	353	11
9	496	11
10	818	11
11	2304	11
done	5000	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
2.9b	(* y (/ (- z t) (- a t)))

rewrite121.0ms

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:

9.0ms	(+ x (* y (/ (- z t) (- a t))))
33.0ms	(/ (- z t) (- a t))
71.0ms	(* y (/ (- z t) (- a t)))

series277.0ms

Counts

3 → 9

Calls

3 calls:

104.0ms	(+ x (* y (/ (- z t) (- a t))))
69.0ms	(/ (- z t) (- a t))
104.0ms	(* y (/ (- z t) (- a t)))

simplify932.0ms

Counts

122 → 122

Iterations

Useful iterations: done (928.0ms)

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

prune364.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- a t) (- z t))
0.0b	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
0.2b	(/ 1 (/ (- a t) (- z t)))
2.9b	(* y (/ 1 (/ (- a t) (- z t))))

rewrite233.0ms

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×	`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-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `pow-flip` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `flip-+` `inv-pow`

Counts

4 → 338

Calls

4 calls:

37.0ms	(/ (- a t) (- z t))
8.0ms	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
40.0ms	(/ 1 (/ (- a t) (- z t)))
112.0ms	(* y (/ 1 (/ (- a t) (- z t))))

series632.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(/ (- a t) (- z t))
184.0ms	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
163.0ms	(/ 1 (/ (- a t) (- z t)))
213.0ms	(* y (/ 1 (/ (- a t) (- z t))))

simplify672.0ms

Counts

350 → 350

Iterations

Useful iterations: done (656.0ms)

Iter	Nodes	Cost
0	373	5716
1	1097	4784
done	5000	4440

prune848.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
0.0b	(+ x (/ y (/ (- a t) (- z t))))
2.6b	(/ y (/ (- a t) (- z t)))

rewrite122.0ms

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:

24.0ms	(/ (- a t) (- z t))
62.0ms	(+ x (/ y (/ (- a t) (- z t))))
24.0ms	(/ y (/ (- a t) (- z t)))

series414.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(/ (- a t) (- z t))
147.0ms	(+ x (/ y (/ (- a t) (- z t))))
213.0ms	(/ y (/ (- a t) (- z t)))

simplify1.4s

Counts

215 → 215

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	292	3733
1	796	3524
2	3998	3384
done	5001	3378

prune606.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- z t))
0.2b	(/ 1 (* (- a t) (/ 1 (- z t))))
0.2b	(* (- a t) (/ 1 (- z t)))
2.9b	(* y (/ 1 (* (- a t) (/ 1 (- z t)))))

rewrite299.0ms

Algorithm

rewrite-expression-head

Rules

104×	`add-exp-log`
54×	`add-sqr-sqrt`
46×	`*-un-lft-identity`
44×	`prod-exp`
38×	`times-frac`
36×	`div-exp`
34×	`associate-r` `add-cbrt-cube`
29×	`add-cube-cbrt`
18×	`rec-exp` `1-exp`
16×	`associate-/r/`
12×	`pow1`
10×	`cbrt-undiv` `cbrt-unprod`
8×	`flip3--` `associate-l` `flip--` `distribute-lft-out--` `difference-of-squares`
6×	`frac-times` `associate-l/` `associate-/r` `associate-/l*`
4×	`associate-*r/` `un-div-inv` `div-inv` `add-log-exp` `unswap-sqr`
3×	`pow-flip` `pow-prod-down`
2×	`frac-2neg` `clear-num` `*-commutative` `inv-pow`

Counts

4 → 183

Calls

4 calls:

22.0ms	(/ 1 (- z t))
41.0ms	(/ 1 (* (- a t) (/ 1 (- z t))))
76.0ms	(* (- a t) (/ 1 (- z t)))
145.0ms	(* y (/ 1 (* (- a t) (/ 1 (- z t)))))

series584.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(/ 1 (- z t))
201.0ms	(/ 1 (* (- a t) (/ 1 (- z t))))
91.0ms	(* (- a t) (/ 1 (- z t)))
226.0ms	(* y (/ 1 (* (- a t) (/ 1 (- z t)))))

simplify5.3s

Counts

195 → 195

Iterations

Useful iterations: 2 (1.2s)

Iter	Nodes	Cost
0	220	2445
1	607	1953
2	4420	1578
done	5000	1578

prune528.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes212.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	11	11
done	11	11

end0.0ms

sample1.6s

Algorithm

intervals

Results

569.0ms	8754×	body	80	valid
0.0ms	1×	body	1280	valid