Details

sample39.0ms

Algorithm

intervals

Results

21.0ms	255×	body	80	valid
0.0ms	1×	body	160	valid

simplify3.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
8	3263
7	1792
6	1228
5	907
4	476
3	182
2	71
1	32
0	16

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.7b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ y t) a)
1.3b	(- (* z (+ x y)) (* b y))
3.3b	(+ (* (+ y t) a) (- (* z (+ x y)) (* b y)))
25.9b	(/ (+ (* (+ y t) a) (- (* z (+ x y)) (* b y))) (+ x (+ y t)))

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
16×	`add-cube-cbrt`
15×	`times-frac`
13×	`distribute-lft-out`
11×	`add-log-exp`
10×	`associate-*l/`
8×	`flip3-+` `add-cbrt-cube` `frac-add` `add-exp-log` `flip-+`
6×	`pow1` `associate-/l/`
5×	`associate-/r*` `flip3--` `flip--`
4×	`associate-+r+` `associate-l` `associate--l+`
3×	`associate-r` `associate-/l*`
2×	`distribute-rgt-in` `associate-+r-` `sum-log` `sub-neg` `distribute-lft-in` `diff-log` `associate-/r/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `frac-2neg` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 100

Calls

4 calls:

16.0ms	(* (+ y t) a)
10.0ms	(- (* z (+ x y)) (* b y))
27.0ms	(+ (* (+ y t) a) (- (* z (+ x y)) (* b y)))
117.0ms	(/ (+ (* (+ y t) a) (- (* z (+ x y)) (* b y))) (+ x (+ y t)))

series395.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (+ y t) a)
41.0ms	(- (* z (+ x y)) (* b y))
134.0ms	(+ (* (+ y t) a) (- (* z (+ x y)) (* b y)))
190.0ms	(/ (+ (* (+ y t) a) (- (* z (+ x y)) (* b y))) (+ x (+ y t)))

simplify1.6s

Counts

112 → 112

Iterations

Iter	Nodes
done	5001
2	2325
1	527
0	181

prune835.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.6b

localize6.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune54.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 3.6b

localize50.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ (+ x (+ y t)) (+ (* (+ y t) a) (- (* z (+ x y)) (* b y)))))
1.3b	(- (* z (+ x y)) (* b y))
3.3b	(+ (* (+ y t) a) (- (* z (+ x y)) (* b y)))
26.0b	(/ (+ x (+ y t)) (+ (* (+ y t) a) (- (* z (+ x y)) (* b y))))

rewrite240.0ms

Algorithm

rewrite-expression-head

Rules

156×	`*-un-lft-identity`
150×	`times-frac`
76×	`add-sqr-sqrt` `add-cube-cbrt`
48×	`distribute-lft-out`
31×	`associate-/r/`
28×	`associate-/r*`
24×	`associate-*l/` `frac-add`
19×	`flip3-+` `flip-+`
17×	`add-exp-log`
13×	`flip3--` `flip--`
11×	`add-cbrt-cube` `add-log-exp`
8×	`div-exp` `associate-/l*`
6×	`div-inv`
5×	`pow1`
4×	`cbrt-undiv` `associate-+r+` `associate--l+`
2×	`distribute-rgt-in` `rec-exp` `clear-num` `sum-log` `sub-neg` `frac-2neg` `distribute-lft-in` `diff-log` `1-exp` `associate-/l/`
1×	`+-commutative` `associate-+r-` `pow-flip` `inv-pow`

Counts

4 → 202

Calls

4 calls:

100.0ms	(/ 1 (/ (+ x (+ y t)) (+ (* (+ y t) a) (- (* z (+ x y)) (* b y)))))
10.0ms	(- (* z (+ x y)) (* b y))
28.0ms	(+ (* (+ y t) a) (- (* z (+ x y)) (* b y)))
85.0ms	(/ (+ x (+ y t)) (+ (* (+ y t) a) (- (* z (+ x y)) (* b y))))

series935.0ms

Counts

4 → 12

Calls

4 calls:

637.0ms	(/ 1 (/ (+ x (+ y t)) (+ (* (+ y t) a) (- (* z (+ x y)) (* b y)))))
36.0ms	(- (* z (+ x y)) (* b y))
138.0ms	(+ (* (+ y t) a) (- (* z (+ x y)) (* b y)))
124.0ms	(/ (+ x (+ y t)) (+ (* (+ y t) a) (- (* z (+ x y)) (* b y))))

simplify1.8s

Counts

214 → 214

Iterations

Iter	Nodes
done	5001
2	3195
1	826
0	283

prune999.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 3.1b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ y t) a)
1.8b	(- (+ (* (+ y t) a) (* (+ y x) z)) (* b y))
2.6b	(+ (* (+ y t) a) (* (+ y x) z))
26.0b	(* (/ 1 (+ x (+ y t))) (- (+ (* (+ y t) a) (* (+ y x) z)) (* b y)))

rewrite264.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
25×	`add-sqr-sqrt` `associate-l`
17×	`times-frac`
16×	`add-cube-cbrt`
15×	`add-exp-log`
11×	`add-cbrt-cube` `associate-*l/` `add-log-exp`
10×	`distribute-lft-out`
8×	`pow1`
7×	`flip3-+` `flip-+`
6×	`associate-r`
5×	`prod-exp`
4×	`frac-add` `unswap-sqr`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `flip3--` `associate--l+` `cbrt-unprod` `flip--`
2×	`frac-times` `sum-log` `diff-log` `div-exp` `pow-prod-down` `associate-r/` `associate-/r/` `-commutative`
1×	`cbrt-undiv` `+-commutative` `rec-exp` `1-exp` `div-inv`

Counts

4 → 103

Calls

4 calls:

17.0ms	(* (+ y t) a)
57.0ms	(- (+ (* (+ y t) a) (* (+ y x) z)) (* b y))
11.0ms	(+ (* (+ y t) a) (* (+ y x) z))
176.0ms	(* (/ 1 (+ x (+ y t))) (- (+ (* (+ y t) a) (* (+ y x) z)) (* b y)))

series844.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (+ y t) a)
112.0ms	(- (+ (* (+ y t) a) (* (+ y x) z)) (* b y))
55.0ms	(+ (* (+ y t) a) (* (+ y x) z))
651.0ms	(* (/ 1 (+ x (+ y t))) (- (+ (* (+ y t) a) (* (+ y x) z)) (* b y)))

simplify1.6s

Counts

115 → 115

Iterations

Iter	Nodes
done	5010
2	2516
1	649
0	209

prune628.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 3.1b

regimes1.0s

Accuracy

46.5% (13.1b remaining)

Error of 17.3b against oracle of 4.3b and baseline of 28.7b

bsearch131.0ms

Steps

Iters	Range		Point
9	190.48575438544674	121699369396.6964	4617794.30963613
10	-1.3160740612192672e-52	-2.161818917794778e-63	-1.2430782448094334e-52

simplify4.0ms

Iterations

Iter	Nodes
done	34
1	34
0	24

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.0s	7998×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid