Details

sample49.0ms

Algorithm

intervals

Results

16.0ms	269×	body	80	valid
3.0ms	14×	body	640	valid
2.0ms	9×	body	1280	valid
2.0ms	11×	body	320	valid
1.0ms	4×	body	160	valid

simplify15.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	13
1	20	13
2	45	13
3	111	13
4	288	13
5	633	13
6	1189	13
7	2048	13
8	2872	13
9	3396	13
10	3629	13
11	3899	13
12	4189	13
done	5001	13

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.9b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) (- z t))
2.1b	(+ x (/ (* (- y x) (- z t)) (- a t)))
14.8b	(/ (* (- y x) (- z t)) (- a t))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt` `*-un-lft-identity`
13×	`flip3--` `flip--`
10×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `associate-/l/`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-r` `associate-l` `associate-/r*` `add-log-exp`
4×	`associate-r/` `associate-l/` `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`
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 → 81

Calls

3 calls:

50.0ms	(* (- y x) (- z t))
22.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
61.0ms	(/ (* (- y x) (- z t)) (- a t))

series525.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(* (- y x) (- z t))
264.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
206.0ms	(/ (* (- y x) (- z t)) (- a t))

simplify1.3s

Counts

90 → 90

Iterations

Useful iterations: 2 (344.0ms)

Iter	Nodes	Cost
0	162	1284
1	468	1213
2	1991	1111
done	5000	1111

prune322.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 3.4b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.9b	(* (- y x) (/ (- z t) (- a t)))
2.1b	(+ x (* (- y x) (/ (- z t) (- a t))))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt`
73×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
23×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `flip3--` `associate-l` `associate-/r` `flip--` `associate-/l` `add-log-exp`
4×	`associate-/r/`
2×	`cbrt-undiv` `frac-times` `div-exp` `associate-*l/` `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 → 119

Calls

3 calls:

23.0ms	(/ (- z t) (- a t))
93.0ms	(* (- y x) (/ (- z t) (- a t)))
9.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

series517.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(/ (- z t) (- a t))
186.0ms	(* (- y x) (/ (- z t) (- a t)))
252.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

simplify1.2s

Counts

128 → 128

Iterations

Useful iterations: 2 (331.0ms)

Iter	Nodes	Cost
0	183	1813
1	472	1704
2	1748	1606
done	5001	1606

prune433.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 3.4b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
2.0b	(/ (- y x) (/ (- a t) (- z t)))
2.1b	(+ x (/ (- y x) (/ (- a t) (- z t))))

rewrite266.0ms

Algorithm

rewrite-expression-head

Rules

330×	`times-frac`
323×	`*-un-lft-identity`
321×	`add-sqr-sqrt`
113×	`add-cube-cbrt`
104×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
15×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
9×	`flip3--` `flip--`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `div-sub`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `associate-+r-` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 274

Calls

3 calls:

38.0ms	(/ (- a t) (- z t))
70.0ms	(/ (- y x) (/ (- a t) (- z t)))
134.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))

series610.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(/ (- a t) (- z t))
310.0ms	(/ (- y x) (/ (- a t) (- z t)))
235.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))

simplify1.8s

Counts

283 → 283

Iterations

Useful iterations: 2 (717.0ms)

Iter	Nodes	Cost
0	354	5984
1	1010	5625
2	3649	5487
done	5001	5487

prune1.1s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 3.4b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ a (- z t)) (/ t (- z t)))
0.0b	(/ t (- z t))
2.0b	(/ (- y x) (- (/ a (- z t)) (/ t (- z t))))
2.1b	(+ x (/ (- y x) (- (/ a (- z t)) (/ t (- z t)))))

rewrite652.0ms

Algorithm

rewrite-expression-head

Rules

283×	`*-un-lft-identity`
231×	`times-frac`
211×	`add-sqr-sqrt`
107×	`distribute-lft-out--`
65×	`difference-of-squares`
53×	`add-cube-cbrt`
34×	`associate-/r/`
23×	`associate-/r*`
21×	`distribute-rgt-out--`
18×	`flip3--` `flip--`
16×	`div-inv`
8×	`add-exp-log` `add-cbrt-cube` `associate-/l*` `add-log-exp`
4×	`pow1`
2×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `frac-sub` `associate-/l/` `sub-div`
1×	`+-commutative` `associate-+r-` `sub-neg` `flip3-+` `diff-log` `sum-log` `flip-+` `distribute-lft-out`

Counts

4 → 211

Calls

4 calls:

105.0ms	(- (/ a (- z t)) (/ t (- z t)))
22.0ms	(/ t (- z t))
185.0ms	(/ (- y x) (- (/ a (- z t)) (/ t (- z t))))
324.0ms	(+ x (/ (- y x) (- (/ a (- z t)) (/ t (- z t)))))

series696.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(- (/ a (- z t)) (/ t (- z t)))
61.0ms	(/ t (- z t))
259.0ms	(/ (- y x) (- (/ a (- z t)) (/ t (- z t))))
266.0ms	(+ x (/ (- y x) (- (/ a (- z t)) (/ t (- z t)))))

simplify1.6s

Counts

223 → 223

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	308	4768
1	723	4486
2	2023	4392
done	5001	4091

prune688.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 3.4b

regimes255.0ms

Accuracy

21.1% (6.0b remaining)

Error of 10.4b against oracle of 4.4b and baseline of 12.0b

bsearch47.0ms

Steps

Iters	Range		Point
2	9.352176213475081e-141	1.0417804927957906e-140	9.75178698140614e-141
5	-2.1349897266323535e-158	-5.771560909560032e-159	-7.261774436029236e-159

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	24	55
1	31	39
done	31	39

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.1s	7772×	body	80	valid
167.0ms	473×	body	640	valid
115.0ms	282×	body	1280	valid
80.0ms	425×	body	320	valid
32.0ms	294×	body	160	valid
3.0ms	11×	body	2560	valid