Details

sample49.0ms

Algorithm

intervals

Results

20.0ms

273×

body

valid

simplify13.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
25	4882
24	4629
23	4382
22	4129
21	3872
20	3623
19	3365
18	3109
17	2854
16	2584
15	2289
14	1887
13	1436
12	1038
11	671
10	474
9	323
8	238
7	196
6	165
5	124
4	86
3	49
2	30
1	17
0	10

prune60.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.6b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) (- a t)))
0.0b	(* y (- z t))
10.3b	(/ (* y (- z t)) (- a t))

rewrite436.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-r` `associate-/r*` `add-log-exp`
4×	`associate-*r/`
3×	`flip3--` `associate-l` `flip--` `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` `associate-/l/`
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 → 67

Calls

3 calls:

65.0ms	(+ x (/ (* y (- z t)) (- a t)))
62.0ms	(* y (- z t))
301.0ms	(/ (* y (- z t)) (- a t))

series533.0ms

Counts

3 → 9

Calls

3 calls:

238.0ms	(+ x (/ (* y (- z t)) (- a t)))
81.0ms	(* y (- z t))
192.0ms	(/ (* y (- z t)) (- a t))

simplify10.6s

Counts

76 → 76

Iterations

Iter	Nodes
done	5000
3	4175
2	1024
1	344
0	128

prune1.5s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
1.0b	(* y (/ (- z t) (- a t)))

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `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 → 113

Calls

3 calls:

14.0ms	(+ x (* y (/ (- z t) (- a t))))
49.0ms	(/ (- z t) (- a t))
91.0ms	(* y (/ (- z t) (- a t)))

series413.0ms

Counts

3 → 9

Calls

3 calls:

180.0ms	(+ x (* y (/ (- z t) (- a t))))
100.0ms	(/ (- z t) (- a t))
133.0ms	(* y (/ (- z t) (- a t)))

simplify4.4s

Counts

122 → 122

Iterations

Iter	Nodes
done	5002
2	1373
1	439
0	162

prune1.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- a t) (- z t))))
0.0b	(/ (- a t) (- z t))
1.2b	(/ y (/ (- a t) (- z t)))

rewrite443.0ms

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

Counts

3 → 206

Calls

3 calls:

258.0ms	(+ x (/ y (/ (- a t) (- z t))))
56.0ms	(/ (- a t) (- z t))
51.0ms	(/ y (/ (- a t) (- z t)))

series1.1s

Counts

3 → 9

Calls

3 calls:

481.0ms	(+ x (/ y (/ (- a t) (- z t))))
93.0ms	(/ (- a t) (- z t))
548.0ms	(/ y (/ (- a t) (- z t)))

simplify6.1s

Counts

215 → 215

Iterations

Iter	Nodes
done	5001
2	2705
1	780
0	292

prune3.4s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize90.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ t (- z t))
0.0b	(- (/ a (- z t)) (/ t (- z t)))
0.0b	(/ a (- z t))
1.2b	(/ y (- (/ a (- z t)) (/ t (- z t))))

rewrite616.0ms

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-exp-log` `add-cbrt-cube`
9×	`associate-/l*`
6×	`add-log-exp`
4×	`pow1`
3×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
2×	`frac-sub` `sub-div`
1×	`sub-neg` `diff-log`

Counts

4 → 194

Calls

4 calls:

55.0ms	(/ t (- z t))
186.0ms	(- (/ a (- z t)) (/ t (- z t)))
25.0ms	(/ a (- z t))
329.0ms	(/ y (- (/ a (- z t)) (/ t (- z t))))

series1.1s

Counts

4 → 12

Calls

4 calls:

449.0ms	(/ t (- z t))
359.0ms	(- (/ a (- z t)) (/ t (- z t)))
103.0ms	(/ a (- z t))
216.0ms	(/ y (- (/ a (- z t)) (/ t (- z t))))

simplify8.7s

Counts

206 → 206

Iterations

Iter	Nodes
done	5002
2	1744
1	550
0	272

prune3.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes986.0ms

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample2.5s

Algorithm

intervals

Results

819.0ms	8764×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid