Details

sample49.0ms

Algorithm

intervals

Results

23.0ms

275×

body

valid

simplify761.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	20	11
2	34	11
3	55	11
4	93	11
5	139	11
6	166	11
7	183	11
8	205	11
9	238	11
10	295	11
11	327	11
12	371	11
13	406	11
14	418	11
done	418	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
3.1b	(* y (/ (- z t) (- a t)))

rewrite84.0ms

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:

7.0ms	(+ x (* y (/ (- z t) (- a t))))
24.0ms	(/ (- z t) (- a t))
47.0ms	(* y (/ (- z t) (- a t)))

series298.0ms

Counts

3 → 9

Calls

3 calls:

121.0ms	(+ x (* y (/ (- z t) (- a t))))
74.0ms	(/ (- z t) (- a t))
103.0ms	(* y (/ (- z t) (- a t)))

simplify2.0s

Counts

122 → 122

Iterations

Useful iterations: 2 (261.0ms)

Iter	Nodes	Cost
0	162	1555
1	417	1454
2	1178	1368
3	3704	1368
done	5000	1368

prune400.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
0.0b	(/ (- a t) (- z t))
0.4b	(/ 1 (/ (- a t) (- z t)))
3.1b	(* y (/ 1 (/ (- a t) (- z t))))

rewrite228.0ms

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:

6.0ms	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
24.0ms	(/ (- a t) (- z t))
39.0ms	(/ 1 (/ (- a t) (- z t)))
120.0ms	(* y (/ 1 (/ (- a t) (- z t))))

series619.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
57.0ms	(/ (- a t) (- z t))
197.0ms	(/ 1 (/ (- a t) (- z t)))
214.0ms	(* y (/ 1 (/ (- a t) (- z t))))

simplify1.1s

Counts

350 → 350

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	373	5716
1	917	4608
2	2007	4223
done	5000	4147

prune911.0ms

Pruning

5 alts after pruning (4 fresh and 1 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))
3.1b	(/ y (/ (- a t) (- z t)))

rewrite175.0ms

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:

88.0ms	(+ x (/ y (/ (- a t) (- z t))))
31.0ms	(/ (- a t) (- z t))
37.0ms	(/ y (/ (- a t) (- z t)))

series373.0ms

Counts

3 → 9

Calls

3 calls:

132.0ms	(+ x (/ y (/ (- a t) (- z t))))
58.0ms	(/ (- a t) (- z t))
182.0ms	(/ y (/ (- a t) (- z t)))

simplify1.5s

Counts

215 → 215

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	292	3733
1	680	3484
2	2408	3378
done	5000	3372

prune514.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- z t))
0.0b	(/ 1 (- a t))
0.2b	(/ (/ 1 (- a t)) (/ 1 (- z t)))
3.1b	(* y (/ (/ 1 (- a t)) (/ 1 (- z t))))

rewrite515.0ms

Algorithm

rewrite-expression-head

Rules

2223×	`times-frac`
1367×	`add-sqr-sqrt`
1338×	`*-un-lft-identity`
800×	`add-cube-cbrt`
446×	`associate-r`
266×	`distribute-lft-out--` `difference-of-squares`
178×	`associate-/r/`
110×	`add-exp-log`
90×	`div-inv`
88×	`flip3--` `flip--`
68×	`div-exp`
38×	`add-cbrt-cube`
31×	`associate-/r*`
27×	`associate-/l*`
18×	`cbrt-undiv` `rec-exp` `1-exp`
17×	`prod-exp`
10×	`unswap-sqr`
8×	`pow1`
5×	`cbrt-unprod`
4×	`add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`pow-flip` `inv-pow`
1×	`associate-r/` `pow-prod-down` `-commutative` `associate-/l/`

Counts

4 → 1088

Calls

4 calls:

17.0ms	(/ 1 (- z t))
17.0ms	(/ 1 (- a t))
62.0ms	(/ (/ 1 (- a t)) (/ 1 (- z t)))
256.0ms	(* y (/ (/ 1 (- a t)) (/ 1 (- z t))))

series484.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(/ 1 (- z t))
57.0ms	(/ 1 (- a t))
173.0ms	(/ (/ 1 (- a t)) (/ 1 (- z t)))
203.0ms	(* y (/ (/ 1 (- a t)) (/ 1 (- z t))))

simplify2.1s

Counts

1100 → 1100

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	1068	23651
1	2942	17015
done	5000	15141

prune2.2s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes235.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	45
1	24	45
done	24	45

end0.0ms

sample1.1s

Algorithm

intervals

Results

508.0ms

8693×

body

valid