Details

sample41.0ms

Algorithm

intervals

Results

19.0ms

278×

body

valid

simplify3.7s

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.6b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite69.0ms

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` `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 → 67

Calls

3 calls:

16.0ms	(+ x (/ (* y (- z t)) (- a t)))
31.0ms	(* y (- z t))
19.0ms	(/ (* y (- z t)) (- a t))

series293.0ms

Counts

3 → 9

Calls

3 calls:

113.0ms	(+ x (/ (* y (- z t)) (- a t)))
66.0ms	(* y (- z t))
114.0ms	(/ (* y (- z t)) (- a t))

simplify2.3s

Counts

76 → 76

Iterations

Iter	Nodes
done	5026
3	4209
2	1030
1	344
0	128

prune464.0ms

Pruning

6 alts after pruning (6 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))
1.1b	(/ y (/ (- a t) (- z t)))

rewrite150.0ms

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`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`+-commutative` `sum-log` `flip3-+` `div-sub` `flip-+` `distribute-lft-out`

Counts

3 → 206

Calls

3 calls:

62.0ms	(+ x (/ y (/ (- a t) (- z t))))
40.0ms	(/ (- a t) (- z t))
28.0ms	(/ y (/ (- a t) (- z t)))

series427.0ms

Counts

3 → 9

Calls

3 calls:

164.0ms	(+ x (/ y (/ (- a t) (- z t))))
72.0ms	(/ (- a t) (- z t))
191.0ms	(/ y (/ (- a t) (- z t)))

simplify2.1s

Counts

215 → 215

Iterations

Iter	Nodes
done	5002
2	2701
1	780
0	292

prune1.3s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

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` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

4 → 60

Calls

4 calls:

3.0ms	(cbrt (- z t))
3.0ms	(cbrt (- a t))
3.0ms	(cbrt (- a t))
3.0ms	(cbrt (- a t))

series794.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(cbrt (- z t))
210.0ms	(cbrt (- a t))
210.0ms	(cbrt (- a t))
183.0ms	(cbrt (- a t))

simplify1.9s

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
4	2464
3	978
2	464
1	231
0	114

prune680.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ a (- z t))
0.0b	(- (/ a (- z t)) (/ t (- z t)))
0.0b	(/ t (- z t))
1.1b	(/ y (- (/ a (- z t)) (/ t (- z t))))

rewrite269.0ms

Algorithm

rewrite-expression-head

Rules

203×	`*-un-lft-identity`
174×	`times-frac`
153×	`add-sqr-sqrt`
68×	`distribute-lft-out--`
57×	`add-cube-cbrt`
38×	`difference-of-squares`
28×	`associate-/r*` `associate-/r/`
15×	`distribute-rgt-out--`
14×	`flip3--` `flip--`
13×	`div-inv`
10×	`add-cbrt-cube` `add-exp-log`
9×	`associate-/l*`
6×	`add-log-exp`
4×	`pow1`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp`
2×	`frac-sub` `sub-div`
1×	`sub-neg` `diff-log`

Counts

4 → 194

Calls

4 calls:

11.0ms	(/ a (- z t))
100.0ms	(- (/ a (- z t)) (/ t (- z t)))
16.0ms	(/ t (- z t))
130.0ms	(/ y (- (/ a (- z t)) (/ t (- z t))))

series380.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ a (- z t))
94.0ms	(- (/ a (- z t)) (/ t (- z t)))
82.0ms	(/ t (- z t))
168.0ms	(/ y (- (/ a (- z t)) (/ t (- z t))))

simplify1.9s

Counts

206 → 206

Iterations

Iter	Nodes
done	5003
2	1737
1	550
0	272

prune1.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes436.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	15
1	15
0	14

end0.0ms

sample1.1s

Algorithm

intervals

Results

506.0ms	8776×	body	80	valid
0.0ms	1×	body	320	valid