Details

sample37.0ms

Algorithm

intervals

Results

11.0ms	252×	body	80	valid
2.0ms	14×	body	640	valid
1.0ms	7×	body	1280	valid
1.0ms	12×	body	320	valid
1.0ms	9×	body	160	valid
0.0ms	1×	body	2560	valid

simplify1.9s

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	292	13
5	864	13
6	3373	13
done	5000	13

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.3b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) (- z t))
2.5b	(+ x (/ (* (- y x) (- z t)) (- a t)))
17.0b	(/ (* (- y x) (- z t)) (- a t))

rewrite123.0ms

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:

39.0ms	(* (- y x) (- z t))
39.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
43.0ms	(/ (* (- y x) (- z t)) (- a t))

series414.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(* (- y x) (- z t))
193.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
177.0ms	(/ (* (- y x) (- z t)) (- a t))

simplify1.3s

Counts

90 → 90

Iterations

Useful iterations: 2 (355.0ms)

Iter	Nodes	Cost
0	162	1284
1	480	1213
2	2662	1111
done	5000	1111

prune321.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite141.0ms

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:

24.0ms	(/ (- z t) (- a t))
99.0ms	(* (- y x) (/ (- z t) (- a t)))
13.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

series376.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(/ (- z t) (- a t))
128.0ms	(* (- y x) (/ (- z t) (- a t)))
183.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

simplify1.8s

Counts

128 → 128

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	183	1813
1	504	1716
2	2628	1612
done	5000	1606

prune403.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 3.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
2.5b	(+ x (/ (- y x) (/ (- a t) (- z t))))
3.0b	(/ (- y x) (/ (- a t) (- z t)))

rewrite190.0ms

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:

23.0ms	(/ (- a t) (- z t))
95.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))
44.0ms	(/ (- y x) (/ (- a t) (- z t)))

series581.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(/ (- a t) (- z t))
232.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))
297.0ms	(/ (- y x) (/ (- a t) (- z t)))

simplify574.0ms

Counts

283 → 283

Iterations

Useful iterations: done (562.0ms)

Iter	Nodes	Cost
0	354	5984
1	1154	5679
done	5000	5493

prune821.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 3.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- a t))
0.3b	(* (- z t) (/ 1 (- a t)))
2.5b	(* (- y x) (* (- z t) (/ 1 (- a t))))
3.0b	(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

rewrite207.0ms

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:

19.0ms	(/ 1 (- a t))
58.0ms	(* (- z t) (/ 1 (- a t)))
105.0ms	(* (- y x) (* (- z t) (/ 1 (- a t))))
14.0ms	(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

series469.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(/ 1 (- a t))
70.0ms	(* (- z t) (/ 1 (- a t)))
157.0ms	(* (- y x) (* (- z t) (/ 1 (- a t))))
200.0ms	(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

simplify5.2s

Counts

158 → 158

Iterations

Useful iterations: done (5.2s)

Iter	Nodes	Cost
0	221	2286
1	619	2041
2	4386	1722
done	5000	1716

prune335.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 3.0b

regimes257.0ms

Accuracy

16.7% (6.3b remaining)

Error of 10.5b against oracle of 4.1b and baseline of 11.7b

bsearch71.0ms

Steps

Iters	Range		Point
4	7.593498491975754e-170	1.2730776164824128e-169	9.038357837464358e-170
8	-6.190132842715357e-163	-3.573453623321629e-166	-4.211820321936385e-164

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	23	47
1	30	35
done	30	35

end0.0ms

sample1.4s

Algorithm

intervals

Results

598.0ms	7716×	body	80	valid
125.0ms	498×	body	640	valid
61.0ms	426×	body	320	valid
57.0ms	245×	body	1280	valid
29.0ms	295×	body	160	valid
5.0ms	13×	body	2560	valid