Details

sample61.0ms

Algorithm

intervals

Results

17.0ms	246×	body	80	valid
9.0ms	14×	body	640	valid
3.0ms	15×	body	320	valid
2.0ms	7×	body	1280	valid
1.0ms	9×	body	160	valid

simplify16.4s

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.7b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) (- z t))
2.8b	(+ x (/ (* (- y x) (- z t)) (- a t)))
15.8b	(/ (* (- y x) (- z t)) (- a t))

rewrite157.0ms

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:

62.0ms	(* (- y x) (- z t))
40.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
53.0ms	(/ (* (- y x) (- z t)) (- a t))

series526.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(* (- y x) (- z t))
297.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
171.0ms	(/ (* (- y x) (- z t)) (- a t))

simplify1.4s

Counts

90 → 90

Iterations

Useful iterations: 2 (405.0ms)

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

prune347.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
2.4b	(/ (- y x) (/ (- a t) (- z t)))
2.8b	(+ x (/ (- y x) (/ (- a t) (- z t))))

rewrite193.0ms

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:

34.0ms	(/ (- a t) (- z t))
41.0ms	(/ (- y x) (/ (- a t) (- z t)))
100.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))

series577.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(/ (- a t) (- z t))
273.0ms	(/ (- y x) (/ (- a t) (- z t)))
235.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))

simplify1.5s

Counts

283 → 283

Iterations

Useful iterations: 2 (643.0ms)

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

prune747.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- z t))
0.2b	(* (- a t) (/ 1 (- z t)))
2.4b	(/ (- y x) (* (- a t) (/ 1 (- z t))))
4.5b	(+ x (/ (- y x) (* (- a t) (/ 1 (- z t)))))

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
49×	`*-un-lft-identity`
37×	`times-frac`
32×	`add-exp-log`
26×	`add-cube-cbrt`
21×	`associate-r`
20×	`add-cbrt-cube`
11×	`div-exp`
10×	`associate-/r/` `distribute-lft-out--` `difference-of-squares`
8×	`prod-exp` `associate-/l*`
7×	`pow1` `flip3--` `flip--`
6×	`cbrt-undiv` `associate-/r*` `add-log-exp`
5×	`associate-l`
4×	`frac-times` `associate-*l/` `cbrt-unprod`
3×	`rec-exp` `1-exp` `div-inv` `unswap-sqr`
2×	`frac-2neg` `div-sub` `associate-*r/` `clear-num` `un-div-inv` `associate-/l/`
1×	`+-commutative` `associate-+r-` `pow-flip` `flip3-+` `pow-prod-down` `sum-log` `*-commutative` `flip-+` `distribute-lft-out` `inv-pow`

Counts

4 → 142

Calls

4 calls:

22.0ms	(/ 1 (- z t))
64.0ms	(* (- a t) (/ 1 (- z t)))
32.0ms	(/ (- y x) (* (- a t) (/ 1 (- z t))))
33.0ms	(+ x (/ (- y x) (* (- a t) (/ 1 (- z t)))))

series670.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(/ 1 (- z t))
77.0ms	(* (- a t) (/ 1 (- z t)))
296.0ms	(/ (- y x) (* (- a t) (/ 1 (- z t))))
242.0ms	(+ x (/ (- y x) (* (- a t) (/ 1 (- z t)))))

simplify1.0s

Counts

154 → 154

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	214	2079
1	540	1717
2	1729	1527
done	5000	1525

prune425.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 4.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
2.5b	(* (- y x) (/ (- z t) (- a t)))
2.8b	(+ x (* (- y x) (/ (- z t) (- a t))))

rewrite134.0ms

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:

25.0ms	(/ (- z t) (- a t))
90.0ms	(* (- y x) (/ (- z t) (- a t)))
13.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

series482.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(/ (- z t) (- a t))
158.0ms	(* (- y x) (/ (- z t) (- a t)))
249.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

simplify1.2s

Counts

128 → 128

Iterations

Useful iterations: 2 (362.0ms)

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

prune385.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 4.0b

regimes290.0ms

Accuracy

15.3% (6.5b remaining)

Error of 10.6b against oracle of 4.1b and baseline of 11.8b

bsearch132.0ms

Steps

Iters	Range		Point
7	1.270532878618462e-164	1.8595605403829251e-162	1.686242959618627e-164
10	-9.075518483702745e-141	-5.89973422929116e-153	-6.186660797876992e-149

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	49
1	37	49
done	37	49

end0.0ms

sample2.1s

Algorithm

intervals

Results

753.0ms	7820×	body	80	valid
428.0ms	249×	body	1280	valid
118.0ms	482×	body	640	valid
74.0ms	432×	body	320	valid
34.0ms	262×	body	160	valid
7.0ms	20×	body	2560	valid