Details

sample26.0ms

Algorithm

intervals

Results

8.0ms	240×	body	80	valid
2.0ms	17×	body	640	valid
1.0ms	16×	body	320	valid
1.0ms	6×	body	1280	valid
1.0ms	11×	body	160	valid
0.0ms	1×	body	2560	valid

simplify8.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	13
1	20	13
2	45	13
3	109	13
4	244	13
5	483	13
6	939	13
7	1532	13
8	2687	13
9	3778	13
10	4258	13
11	4539	13
done	5001	13

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.9b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) (- z t))
3.7b	(+ x (/ (* (- y x) (- z t)) (- a t)))
17.8b	(/ (* (- y x) (- z t)) (- a t))

rewrite49.0ms

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:

22.0ms	(* (- y x) (- z t))
10.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
14.0ms	(/ (* (- y x) (- z t)) (- a t))

series297.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(* (- y x) (- z t))
151.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
111.0ms	(/ (* (- y x) (- z t)) (- a t))

simplify884.0ms

Counts

90 → 90

Iterations

Useful iterations: 2 (193.0ms)

Iter	Nodes	Cost
0	162	1284
1	469	1213
2	1885	1111
done	5000	1111

prune445.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 4.5b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
2.7b	(/ (- y x) (/ (- a t) (- z t)))
3.7b	(+ x (/ (- y x) (/ (- a t) (- z t))))

rewrite118.0ms

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:

11.0ms	(/ (- a t) (- z t))
21.0ms	(/ (- y x) (/ (- a t) (- z t)))
66.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))

series396.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(/ (- a t) (- z t))
196.0ms	(/ (- y x) (/ (- a t) (- z t)))
154.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))

simplify1.2s

Counts

283 → 283

Iterations

Useful iterations: 2 (589.0ms)

Iter	Nodes	Cost
0	354	5984
1	1028	5625
2	3490	5487
done	5000	5487

prune633.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 4.5b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
2.6b	(* (- y x) (/ (- z t) (- a t)))
3.7b	(+ x (* (- y x) (/ (- z t) (- a t))))

rewrite54.0ms

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:

13.0ms	(/ (- z t) (- a t))
33.0ms	(* (- y x) (/ (- z t) (- a t)))
3.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

series311.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(/ (- z t) (- a t))
113.0ms	(* (- y x) (/ (- z t) (- a t)))
151.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

simplify945.0ms

Counts

128 → 128

Iterations

Useful iterations: 2 (268.0ms)

Iter	Nodes	Cost
0	183	1813
1	477	1704
2	1693	1606
done	5000	1606

prune318.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 4.5b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- a t))
0.2b	(* (- z t) (/ 1 (- a t)))
2.6b	(* (- y x) (* (- z t) (/ 1 (- a t))))
4.5b	(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
32×	`add-exp-log` `times-frac`
25×	`add-cube-cbrt`
22×	`associate-r`
20×	`frac-times` `add-cbrt-cube`
17×	`flip3--` `flip--`
13×	`prod-exp`
12×	`pow1`
10×	`associate-r/` `associate-l` `associate-l/`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`div-exp` `add-log-exp`
5×	`associate-/r*`
4×	`pow-prod-down` `associate-/r/` `un-div-inv`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `unswap-sqr`
2×	`*-commutative` `div-inv`
1×	`+-commutative` `pow-flip` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip-+` `inv-pow`

Counts

4 → 146

Calls

4 calls:

6.0ms	(/ 1 (- a t))
28.0ms	(* (- z t) (/ 1 (- a t)))
34.0ms	(* (- y x) (* (- z t) (/ 1 (- a t))))
3.0ms	(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

series352.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ 1 (- a t))
47.0ms	(* (- z t) (/ 1 (- a t)))
110.0ms	(* (- y x) (* (- z t) (/ 1 (- a t))))
156.0ms	(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

simplify865.0ms

Counts

158 → 158

Iterations

Useful iterations: 2 (225.0ms)

Iter	Nodes	Cost
0	221	2286
1	587	1896
2	2080	1716
done	5000	1716

prune325.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 4.5b

regimes277.0ms

Accuracy

3.1% (7.5b remaining)

Error of 11.6b against oracle of 4.2b and baseline of 11.9b

bsearch98.0ms

Steps

Iters	Range		Point
6	7.773174937725997e-117	8.222157116971155e-116	2.946990120458906e-116
11	-3.777324016597175e-247	-3.5673237559096386e-267	-3.543954312374929e-257

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	58
1	35	58
done	35	58

end0.0ms

sample696.0ms

Algorithm

intervals

Results

260.0ms	7734×	body	80	valid
57.0ms	483×	body	640	valid
40.0ms	271×	body	1280	valid
39.0ms	409×	body	320	valid
18.0ms	298×	body	160	valid
3.0ms	16×	body	2560	valid