Details

sample26.0ms

Algorithm

intervals

Results

7.0ms	247×	body	80	valid
2.0ms	16×	body	640	valid
2.0ms	20×	body	320	valid
1.0ms	6×	body	1280	valid
1.0ms	10×	body	160	valid

simplify62.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	6
1	45	6
2	111	6
3	288	6
4	714	6
5	1493	6
6	3393	6
7	5002	6
done	5002	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.5b

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)))
18.0b	(/ (* (- y x) (- z t)) (- a t))

rewrite86.0ms

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:

34.0ms	(* (- y x) (- z t))
19.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
30.0ms	(/ (* (- y x) (- z t)) (- a t))

series319.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(* (- y x) (- z t))
162.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
117.0ms	(/ (* (- y x) (- z t)) (- a t))

simplify53.0ms

Counts

90 → 90

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	468	583
1	2162	534
2	5003	534
done	5003	534

prune224.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite153.0ms

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:

22.0ms	(/ (- a t) (- z t))
33.0ms	(/ (- y x) (/ (- a t) (- z t)))
80.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))

series421.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(/ (- a t) (- z t))
201.0ms	(/ (- y x) (/ (- a t) (- z t)))
171.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))

simplify102.0ms

Counts

283 → 283

Iterations

Useful iterations: 1 (22.0ms)

Iter	Nodes	Cost
0	1030	3053
1	4263	2984
2	5003	2984
done	5003	2984

prune600.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 5.9b

localize11.0ms

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))))

rewrite88.0ms

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:

20.0ms	(/ (- z t) (- a t))
56.0ms	(* (- y x) (/ (- z t) (- a t)))
7.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

series387.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(/ (- z t) (- a t))
166.0ms	(* (- y x) (/ (- z t) (- a t)))
171.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

simplify50.0ms

Counts

128 → 128

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	476	869
1	2018	820
2	5001	820
done	5001	820

prune286.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 5.9b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- y x))
1.4b	(/ (/ (- a t) (- z t)) (cbrt (- y x)))
1.7b	(/ (* (cbrt (- y x)) (cbrt (- y x))) (/ (/ (- a t) (- z t)) (cbrt (- y x))))
9.8b	(+ x (/ (* (cbrt (- y x)) (cbrt (- y x))) (/ (/ (- a t) (- z t)) (cbrt (- y x)))))

rewrite363.0ms

Algorithm

rewrite-expression-head

Rules

1623×	`times-frac`
1162×	`*-un-lft-identity`
1160×	`add-sqr-sqrt`
475×	`cbrt-prod`
470×	`add-cube-cbrt`
345×	`distribute-lft-out--` `difference-of-squares`
262×	`associate-/r*`
57×	`associate-/r/`
35×	`flip3--` `flip--`
32×	`associate-/l*`
30×	`add-exp-log`
29×	`div-inv`
20×	`cbrt-div`
18×	`add-cbrt-cube`
15×	`cbrt-undiv` `div-exp`
9×	`associate-/l/`
6×	`add-log-exp`
4×	`pow1` `frac-times`
3×	`prod-exp` `cbrt-unprod`
2×	`frac-2neg` `div-sub` `associate-r/` `associate-l/` `clear-num`
1×	`+-commutative` `flip3-+` `pow1/3` `sum-log` `flip-+` `distribute-lft-out`

Counts

4 → 872

Calls

4 calls:

4.0ms	(cbrt (- y x))
42.0ms	(/ (/ (- a t) (- z t)) (cbrt (- y x)))
78.0ms	(/ (* (cbrt (- y x)) (cbrt (- y x))) (/ (/ (- a t) (- z t)) (cbrt (- y x))))
152.0ms	(+ x (/ (* (cbrt (- y x)) (cbrt (- y x))) (/ (/ (- a t) (- z t)) (cbrt (- y x)))))

series700.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(cbrt (- y x))
182.0ms	(/ (/ (- a t) (- z t)) (cbrt (- y x)))
203.0ms	(/ (* (cbrt (- y x)) (cbrt (- y x))) (/ (/ (- a t) (- z t)) (cbrt (- y x))))
165.0ms	(+ x (/ (* (cbrt (- y x)) (cbrt (- y x))) (/ (/ (- a t) (- z t)) (cbrt (- y x)))))

simplify156.0ms

Counts

884 → 884

Iterations

Useful iterations: 1 (43.0ms)

Iter	Nodes	Cost
0	2407	14747
1	5002	14663
done	5002	14663

prune2.2s

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 5.9b

regimes306.0ms

Accuracy

19.7% (6.1b remaining)

Error of 10.3b against oracle of 4.2b and baseline of 11.7b

bsearch97.0ms

Steps

Iters	Range		Point
8	8.256613625412251e-158	1.2678104251076142e-153	4.6509343006896515e-155
11	-1.1419718716961855e-156	-2.279289893123448e-180	-1.3446760090410248e-176

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	18
1	32	18
done	32	18

end0.0ms

sample742.0ms

Algorithm

intervals

Results

238.0ms	7858×	body	80	valid
53.0ms	483×	body	640	valid
40.0ms	288×	body	1280	valid
32.0ms	400×	body	320	valid
14.0ms	265×	body	160	valid
3.0ms	16×	body	2560	valid