Details

sample45.0ms

Algorithm

intervals

Results

13.0ms	239×	body	80	valid
7.0ms	11×	body	160	valid
3.0ms	16×	body	640	valid
3.0ms	10×	body	1280	valid
2.0ms	16×	body	320	valid

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	1598
5	656
4	266
3	103
2	43
1	20
0	11

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.2b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) (- z t))
3.6b	(+ x (/ (* (- y x) (- z t)) (- a t)))
17.8b	(/ (* (- y x) (- z t)) (- a t))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt` `*-un-lft-identity`
13×	`flip3--` `flip--`
10×	`add-cbrt-cube` `add-exp-log`
8×	`frac-times` `associate-/l/`
7×	`add-cube-cbrt`
5×	`pow1` `associate-/r` `times-frac` `associate-r` `associate-l*` `add-log-exp`
4×	`associate-l/` `associate-r/` `distribute-lft-out--` `difference-of-squares`
3×	`insert-posit16`
2×	`distribute-rgt-in` `cbrt-undiv` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `pow-prod-down` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

3 → 84

Calls

3 calls:

46.0ms	(* (- y x) (- z t))
31.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
44.0ms	(/ (* (- y x) (- z t)) (- a t))

series465.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(* (- y x) (- z t))
244.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
173.0ms	(/ (* (- y x) (- z t)) (- a t))

simplify1.5s

Counts

93 → 93

Iterations

Iter	Nodes
done	5008
2	1910
1	483
0	165

prune588.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.8b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
2.2b	(/ (- y x) (/ (- a t) (- z t)))
3.6b	(+ x (/ (- y x) (/ (- a t) (- z t))))

rewrite203.0ms

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-cbrt-cube` `add-exp-log` `associate-/l*`
9×	`flip3--` `flip--`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `div-sub` `insert-posit16`
2×	`clear-num` `frac-2neg`
1×	`+-commutative` `associate-+r-` `sum-log` `flip3-+` `flip-+` `distribute-lft-out`

Counts

3 → 277

Calls

3 calls:

39.0ms	(/ (- a t) (- z t))
39.0ms	(/ (- y x) (/ (- a t) (- z t)))
112.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))

series539.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(/ (- a t) (- z t))
286.0ms	(/ (- y x) (/ (- a t) (- z t)))
187.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))

simplify2.0s

Counts

286 → 286

Iterations

Iter	Nodes
done	5000
2	3910
1	1153
0	357

prune1.2s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.5b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ a (- z t))
0.0b	(/ t (- z t))
2.2b	(/ (- y x) (- (/ a (- z t)) (/ t (- z t))))
3.6b	(+ x (/ (- y x) (- (/ a (- z t)) (/ t (- z t)))))

rewrite491.0ms

Algorithm

rewrite-expression-head

Rules

273×	`*-un-lft-identity`
228×	`times-frac`
211×	`add-sqr-sqrt`
99×	`distribute-lft-out--`
63×	`difference-of-squares`
61×	`add-cube-cbrt`
32×	`associate-/r/`
28×	`associate-/r*`
18×	`distribute-rgt-out--`
16×	`flip3--` `flip--`
15×	`div-inv`
11×	`associate-/l*`
10×	`add-cbrt-cube` `add-exp-log`
6×	`add-log-exp`
4×	`pow1` `insert-posit16`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp`
2×	`div-sub` `associate-/l/`
1×	`+-commutative` `associate-+r-` `sum-log` `flip3-+` `frac-sub` `flip-+` `distribute-lft-out` `sub-div`

Counts

4 → 223

Calls

4 calls:

19.0ms	(/ a (- z t))
11.0ms	(/ t (- z t))
158.0ms	(/ (- y x) (- (/ a (- z t)) (/ t (- z t))))
281.0ms	(+ x (/ (- y x) (- (/ a (- z t)) (/ t (- z t)))))

series600.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(/ a (- z t))
71.0ms	(/ t (- z t))
234.0ms	(/ (- y x) (- (/ a (- z t)) (/ t (- z t))))
240.0ms	(+ x (/ (- y x) (- (/ a (- z t)) (/ t (- z t)))))

simplify1.7s

Counts

235 → 235

Iterations

Iter	Nodes
done	5001
2	2402
1	820
0	336

prune1.2s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.5b

localize59.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z t))
0.5b	(* (cbrt (- z t)) (cbrt (- z t)))
2.2b	(/ (- y x) (- (/ a (- z t)) (/ (/ t (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))))
8.9b	(+ x (/ (- y x) (- (/ a (- z t)) (/ (/ t (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t))))))

rewrite1.5s

Algorithm

rewrite-expression-head

Rules

286×	`add-sqr-sqrt`
206×	`times-frac`
154×	`*-un-lft-identity`
82×	`difference-of-squares`
57×	`cbrt-prod`
48×	`distribute-lft-out--`
36×	`add-cube-cbrt`
16×	`associate-/r*`
14×	`cbrt-div`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `flip--`
8×	`associate-r` `associate-l` `add-exp-log`
7×	`pow1/3`
6×	`add-cbrt-cube` `add-log-exp`
5×	`associate-/l*`
4×	`frac-times` `insert-posit16` `unswap-sqr`
3×	`associate-/r/`
2×	`div-sub` `pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up` `associate-/l/`
1×	`pow2` `cbrt-undiv` `+-commutative` `clear-num` `associate-+r-` `sum-log` `frac-2neg` `flip3-+` `pow-plus` `div-exp` `prod-exp` `*-commutative` `frac-sub` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out`

Counts

4 → 207

Calls

4 calls:

4.0ms	(cbrt (- z t))
62.0ms	(* (cbrt (- z t)) (cbrt (- z t)))
438.0ms	(/ (- y x) (- (/ a (- z t)) (/ (/ t (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))))
993.0ms	(+ x (/ (- y x) (- (/ a (- z t)) (/ (/ t (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t))))))

series777.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt (- z t))
153.0ms	(* (cbrt (- z t)) (cbrt (- z t)))
194.0ms	(/ (- y x) (- (/ a (- z t)) (/ (/ t (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))))
252.0ms	(+ x (/ (- y x) (- (/ a (- z t)) (/ (/ t (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t))))))

simplify2.1s

Counts

219 → 219

Iterations

Iter	Nodes
done	5001
2	2092
1	873
0	373

prune1.1s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 5.5b

regimes536.0ms

Accuracy

1.2% (7.9b remaining)

Error of 12.0b against oracle of 4.1b and baseline of 12.1b

bsearch80.0ms

Steps

Iters	Range		Point
3	8.567926291693288e+181	1.0907879695141896e+182	1.0761632607426357e+182
9	-3.185021201947089e+203	-3.633690471577559e+198	-8.356995228214703e+200

simplify5.0ms

Iterations

Iter	Nodes
done	31
1	31
0	27

end0.0ms

sample1.2s

Algorithm

intervals

Results

627.0ms	7718×	body	80	valid
101.0ms	500×	body	640	valid
88.0ms	417×	body	320	valid
65.0ms	258×	body	1280	valid
26.0ms	262×	body	160	valid
4.0ms	14×	body	2560	valid