Details

sample49.0ms

Algorithm

intervals

Results

20.0ms

283×

body

valid

simplify869.0ms

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	100	11
5	131	11
6	158	11
7	181	11
8	223	11
9	280	11
10	312	11
11	356	11
12	391	11
13	403	11
done	403	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.8b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z t))
0.0b	(+ x (/ (* y (- z t)) (- a t)))
10.9b	(/ (* y (- z t)) (- a t))

rewrite117.0ms

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:

44.0ms	(* y (- z t))
46.0ms	(+ x (/ (* y (- z t)) (- a t)))
23.0ms	(/ (* y (- z t)) (- a t))

series287.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(* y (- z t))
119.0ms	(+ x (/ (* y (- z t)) (- a t)))
117.0ms	(/ (* y (- z t)) (- a t))

simplify3.1s

Counts

76 → 76

Iterations

Useful iterations: 2 (214.0ms)

Iter	Nodes	Cost
0	128	846
1	334	793
2	1069	715
3	4810	715
done	5000	715

prune276.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- a t) (- z t))))
0.0b	(/ (- a t) (- z t))
2.0b	(/ y (/ (- a t) (- z t)))

rewrite188.0ms

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:

90.0ms	(+ x (/ y (/ (- a t) (- z t))))
44.0ms	(/ (- a t) (- z t))
35.0ms	(/ y (/ (- a t) (- z t)))

series590.0ms

Counts

3 → 9

Calls

3 calls:

216.0ms	(+ x (/ y (/ (- a t) (- z t))))
96.0ms	(/ (- a t) (- z t))
277.0ms	(/ y (/ (- a t) (- z t)))

simplify1.8s

Counts

215 → 215

Iterations

Useful iterations: done (1.8s)

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

prune692.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (/ y (- a t)) (- z t)))
0.0b	(/ y (- a t))
11.9b	(* (/ y (- a t)) (- z t))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 102

Calls

3 calls:

8.0ms	(+ x (* (/ y (- a t)) (- z t)))
12.0ms	(/ y (- a t))
73.0ms	(* (/ y (- a t)) (- z t))

series364.0ms

Counts

3 → 9

Calls

3 calls:

149.0ms	(+ x (* (/ y (- a t)) (- z t)))
47.0ms	(/ y (- a t))
169.0ms	(* (/ y (- a t)) (- z t))

simplify3.0s

Counts

111 → 111

Iterations

Useful iterations: 2 (269.0ms)

Iter	Nodes	Cost
0	166	1295
1	408	1238
2	1310	1158
3	4650	1158
done	5001	1158

prune347.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ (- a t) (sqrt (- z t)))
0.9b	(/ y (/ (- a t) (sqrt (- z t))))
2.3b	(* (sqrt (- z t)) (/ y (/ (- a t) (sqrt (- z t)))))

rewrite321.0ms

Algorithm

rewrite-expression-head

Rules

606×	`times-frac`
493×	`add-sqr-sqrt`
467×	`*-un-lft-identity`
253×	`add-cube-cbrt`
216×	`sqrt-prod`
143×	`associate-r`
107×	`distribute-lft-out--` `difference-of-squares`
54×	`associate-/r*`
20×	`sqrt-div`
19×	`add-exp-log` `add-cbrt-cube`
18×	`associate-/r/`
11×	`flip3--` `flip--`
10×	`div-inv`
8×	`associate-l` `associate-/l*` `unswap-sqr`
7×	`cbrt-undiv` `div-exp`
5×	`pow1`
3×	`prod-exp` `cbrt-unprod` `add-log-exp`
2×	`frac-times` `frac-2neg` `associate-*l/` `clear-num` `associate-/l/`
1×	`div-sub` `associate-r/` `pow-prod-down` `-commutative`

Counts

3 → 451

Calls

3 calls:

28.0ms	(/ (- a t) (sqrt (- z t)))
61.0ms	(/ y (/ (- a t) (sqrt (- z t))))
182.0ms	(* (sqrt (- z t)) (/ y (/ (- a t) (sqrt (- z t)))))

series359.0ms

Counts

3 → 9

Calls

3 calls:

106.0ms	(/ (- a t) (sqrt (- z t)))
144.0ms	(/ y (/ (- a t) (sqrt (- z t))))
109.0ms	(* (sqrt (- z t)) (/ y (/ (- a t) (sqrt (- z t)))))

simplify2.5s

Counts

460 → 460

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	503	9177
1	1227	8212
2	4381	7890
done	5001	7834

prune1.6s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes176.0ms

Accuracy

0% (1.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.3s

Algorithm

intervals

Results

613.0ms	8764×	body	80	valid
1.0ms	3×	body	1280	valid
0.0ms	1×	body	320	valid