Details

sample50.0ms

Algorithm

intervals

Results

17.0ms	240×	body	80	valid
3.0ms	11×	body	640	valid
3.0ms	15×	body	320	valid
2.0ms	8×	body	1280	valid
1.0ms	6×	body	160	valid

simplify1.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	3019
5	643
4	223
3	109
2	52
1	22
0	11

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.4b

localize37.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- z t) y)
2.1b	(- (+ x y) (/ (* (- z t) y) (- a t)))
10.8b	(/ (* (- z t) y) (- a t))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 70

Calls

3 calls:

34.0ms	(* (- z t) y)
46.0ms	(- (+ x y) (/ (* (- z t) y) (- a t)))
35.0ms	(/ (* (- z t) y) (- a t))

series330.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(* (- z t) y)
183.0ms	(- (+ x y) (/ (* (- z t) y) (- a t)))
96.0ms	(/ (* (- z t) y) (- a t))

simplify1.9s

Counts

79 → 79

Iterations

Iter	Nodes
done	5001
2	1980
1	392
0	150

prune532.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.6b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) y)
3.3b	(- (+ x y) (/ (- z t) (/ (- a t) y)))
9.5b	(/ (- z t) (/ (- a t) y))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

203×	`times-frac`
180×	`add-sqr-sqrt`
176×	`*-un-lft-identity`
87×	`add-cube-cbrt`
45×	`difference-of-squares`
44×	`distribute-lft-out--`
22×	`associate-/r*`
10×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
8×	`div-inv` `add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `flip3--` `div-sub` `flip--`
2×	`clear-num` `frac-2neg` `diff-log` `frac-sub`
1×	`sum-log` `sub-neg` `flip3-+` `associate--l+` `associate-/r/` `flip-+` `distribute-lft-out` `associate--r-`

Counts

3 → 197

Calls

3 calls:

17.0ms	(/ (- a t) y)
93.0ms	(- (+ x y) (/ (- z t) (/ (- a t) y)))
24.0ms	(/ (- z t) (/ (- a t) y))

series438.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(/ (- a t) y)
224.0ms	(- (+ x y) (/ (- z t) (/ (- a t) y)))
160.0ms	(/ (- z t) (/ (- a t) y))

simplify1.6s

Counts

206 → 206

Iterations

Iter	Nodes
done	5000
2	4495
1	937
0	303

prune1.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.3b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) y)
5.4b	(- y (/ (- z t) (/ (- a t) y)))
9.5b	(/ (- z t) (/ (- a t) y))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

203×	`times-frac`
180×	`add-sqr-sqrt`
174×	`*-un-lft-identity`
87×	`add-cube-cbrt`
45×	`difference-of-squares`
43×	`distribute-lft-out--`
22×	`associate-/r*`
10×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `flip3--` `div-sub` `flip--`
2×	`clear-num` `frac-2neg` `associate-/r/`
1×	`sub-neg` `distribute-rgt-out--` `diff-log` `associate--r-`

Counts

3 → 193

Calls

3 calls:

12.0ms	(/ (- a t) y)
62.0ms	(- y (/ (- z t) (/ (- a t) y)))
21.0ms	(/ (- z t) (/ (- a t) y))

series246.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ (- a t) y)
99.0ms	(- y (/ (- z t) (/ (- a t) y)))
112.0ms	(/ (- z t) (/ (- a t) y))

simplify1.5s

Counts

202 → 202

Iterations

Iter	Nodes
done	5000
2	4136
1	857
0	277

prune1.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.3b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- a t) y)
0.3b	(/ 1 (/ (/ (- a t) y) (- z t)))
7.0b	(- y (/ 1 (/ (/ (- a t) y) (- z t))))
9.5b	(/ (/ (- a t) y) (- z t))

rewrite231.0ms

Algorithm

rewrite-expression-head

Rules

1195×	`times-frac`
829×	`add-sqr-sqrt`
812×	`*-un-lft-identity`
450×	`add-cube-cbrt`
185×	`difference-of-squares`
180×	`distribute-lft-out--`
109×	`associate-/r*`
34×	`div-inv`
32×	`add-exp-log`
27×	`associate-/l*`
20×	`add-cbrt-cube`
19×	`div-exp`
11×	`associate-/r/`
10×	`cbrt-undiv`
7×	`flip3--` `flip--`
6×	`add-log-exp`
5×	`pow1`
3×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `div-sub` `associate-/l/`
1×	`sub-neg` `diff-log` `pow-flip` `inv-pow`

Counts

4 → 628

Calls

4 calls:

12.0ms	(/ (- a t) y)
38.0ms	(/ 1 (/ (/ (- a t) y) (- z t)))
107.0ms	(- y (/ 1 (/ (/ (- a t) y) (- z t))))
27.0ms	(/ (/ (- a t) y) (- z t))

series511.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(/ (- a t) y)
236.0ms	(/ 1 (/ (/ (- a t) y) (- z t)))
140.0ms	(- y (/ 1 (/ (/ (- a t) y) (- z t))))
88.0ms	(/ (/ (- a t) y) (- z t))

simplify1.9s

Counts

640 → 640

Iterations

Iter	Nodes
done	5001
1	2137
0	716

prune2.9s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.3b

regimes509.0ms

Accuracy

7% (5.1b remaining)

Error of 9.6b against oracle of 4.5b and baseline of 10.0b

bsearch131.0ms

Steps

Iters	Range		Point
7	1.4681754242917785e-89	1.2124153812003553e-87	1.4876176460628895e-89
8	-7.856158276982065e-262	-4.474512449062363e-265	-7.749546496277328e-262

simplify6.0ms

Iterations

Iter	Nodes
done	34
1	34
0	25

end0.0ms

sample1.4s

Algorithm

intervals

Results

479.0ms	7374×	body	80	valid
393.0ms	436×	body	640	valid
90.0ms	260×	body	160	valid
58.0ms	262×	body	1280	valid
55.0ms	409×	body	320	valid
5.0ms	16×	body	2560	valid