Details

sample46.0ms

Algorithm

intervals

Results

25.0ms

281×

body

valid

simplify3.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
25	4987
24	4738
23	4485
22	4221
21	3975
20	3724
19	3468
18	3205
17	2954
16	2689
15	2425
14	2076
13	1689
12	1239
11	799
10	540
9	376
8	272
7	218
6	177
5	123
4	86
3	49
2	30
1	17
0	10

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.4b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z t))
0.0b	(+ x (/ (* y (- z t)) (- a t)))
10.1b	(/ (* y (- z t)) (- a t))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-cbrt-cube` `add-exp-log`
7×	`add-cube-cbrt`
5×	`pow1` `associate-/r` `times-frac` `associate-r*` `add-log-exp`
4×	`associate-*r/`
3×	`flip3--` `associate-l` `insert-posit16` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`distribute-rgt-in` `cbrt-undiv` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
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 → 70

Calls

3 calls:

25.0ms	(* y (- z t))
15.0ms	(+ x (/ (* y (- z t)) (- a t)))
31.0ms	(/ (* y (- z t)) (- a t))

series268.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(* y (- z t))
112.0ms	(+ x (/ (* y (- z t)) (- a t)))
108.0ms	(/ (* y (- z t)) (- a t))

simplify2.4s

Counts

79 → 79

Iterations

Iter	Nodes
done	5002
3	4415
2	1063
1	352
0	131

prune498.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- a t) (- z t))))
0.0b	(/ (- a t) (- z t))
1.7b	(/ y (/ (- a t) (- z t)))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
197×	`*-un-lft-identity`
195×	`add-sqr-sqrt`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
10×	`add-cbrt-cube` `add-exp-log`
8×	`associate-/l*`
6×	`flip3--` `div-inv` `flip--`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `insert-posit16`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`+-commutative` `sum-log` `flip3-+` `div-sub` `flip-+` `distribute-lft-out`

Counts

3 → 209

Calls

3 calls:

42.0ms	(+ x (/ y (/ (- a t) (- z t))))
29.0ms	(/ (- a t) (- z t))
17.0ms	(/ y (/ (- a t) (- z t)))

series424.0ms

Counts

3 → 9

Calls

3 calls:

149.0ms	(+ x (/ y (/ (- a t) (- z t))))
69.0ms	(/ (- a t) (- z t))
206.0ms	(/ y (/ (- a t) (- z t)))

simplify1.6s

Counts

218 → 218

Iterations

Iter	Nodes
done	5002
2	2713
1	783
0	295

prune939.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z t))
0.6b	(cbrt (- a t))
0.6b	(cbrt (- a t))
0.6b	(cbrt (- a t))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
16×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`cbrt-div` `add-cube-cbrt`
4×	`pow1` `flip3--` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

4 → 64

Calls

4 calls:

5.0ms	(cbrt (- z t))
5.0ms	(cbrt (- a t))
5.0ms	(cbrt (- a t))
5.0ms	(cbrt (- a t))

series693.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(cbrt (- z t))
148.0ms	(cbrt (- a t))
177.0ms	(cbrt (- a t))
201.0ms	(cbrt (- a t))

simplify2.0s

Counts

76 → 76

Iterations

Iter	Nodes
done	5000
4	2472
3	981
2	468
1	233
0	116

prune647.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- z t))
0.0b	(+ x (/ y (* (- a t) (/ 1 (- z t)))))
0.2b	(* (- a t) (/ 1 (- z t)))
1.7b	(/ y (* (- a t) (/ 1 (- z t))))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
35×	`times-frac`
32×	`add-exp-log`
26×	`add-cube-cbrt`
21×	`associate-r`
20×	`add-cbrt-cube`
11×	`div-exp`
10×	`associate-/r/`
8×	`prod-exp` `distribute-lft-out--` `difference-of-squares`
7×	`pow1`
6×	`cbrt-undiv` `associate-/r` `flip3--` `flip--` `associate-/l` `add-log-exp`
5×	`associate-l`
4×	`frac-times` `associate-*l/` `cbrt-unprod` `insert-posit16`
3×	`rec-exp` `1-exp` `div-inv` `unswap-sqr`
2×	`clear-num` `frac-2neg` `associate-*r/` `un-div-inv`
1×	`+-commutative` `sum-log` `flip3-+` `pow-prod-down` `*-commutative` `flip-+` `pow-flip` `distribute-lft-out` `inv-pow`

Counts

4 → 138

Calls

4 calls:

17.0ms	(/ 1 (- z t))
26.0ms	(+ x (/ y (* (- a t) (/ 1 (- z t)))))
57.0ms	(* (- a t) (/ 1 (- z t)))
29.0ms	(/ y (* (- a t) (/ 1 (- z t))))

series472.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(/ 1 (- z t))
160.0ms	(+ x (/ y (* (- a t) (/ 1 (- z t)))))
57.0ms	(* (- a t) (/ 1 (- z t)))
210.0ms	(/ y (* (- a t) (/ 1 (- z t))))

simplify1.6s

Counts

150 → 150

Iterations

Iter	Nodes
done	5001
2	1840
1	491
0	197

prune703.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes342.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	15
1	15
0	14

end0.0ms

sample953.0ms

Algorithm

intervals

Results

565.0ms	8738×	body	80	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid