Details

sample58.0ms

Algorithm

intervals

Results

27.0ms

273×

body

valid

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
11	2304
10	835
9	508
8	366
7	295
6	258
5	156
4	95
3	55
2	34
1	20
0	10

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
1.3b	(* y (/ (- z t) (- a t)))

rewrite129.0ms

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-cbrt-cube` `add-exp-log`
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` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-r/` `-commutative` `flip-+`

Counts

3 → 113

Calls

3 calls:

10.0ms	(+ x (* y (/ (- z t) (- a t))))
41.0ms	(/ (- z t) (- a t))
69.0ms	(* y (/ (- z t) (- a t)))

series306.0ms

Counts

3 → 9

Calls

3 calls:

129.0ms	(+ x (* y (/ (- z t) (- a t))))
65.0ms	(/ (- z t) (- a t))
111.0ms	(* y (/ (- z t) (- a t)))

simplify947.0ms

Counts

122 → 122

Iterations

Iter	Nodes
done	5000
2	1783
1	446
0	162

prune597.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* 1 (/ y (/ (- a t) (- z t)))))
0.0b	(/ (- a t) (- z t))
1.3b	(/ y (/ (- a t) (- z t)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
196×	`*-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:

9.0ms	(+ x (* 1 (/ y (/ (- a t) (- z t)))))
18.0ms	(/ (- a t) (- z t))
25.0ms	(/ y (/ (- a t) (- z t)))

series492.0ms

Counts

3 → 9

Calls

3 calls:

172.0ms	(+ x (* 1 (/ y (/ (- a t) (- z t)))))
93.0ms	(/ (- a t) (- z t))
226.0ms	(/ y (/ (- a t) (- z t)))

simplify1.7s

Counts

215 → 215

Iterations

Iter	Nodes
done	5000
2	4443
1	817
0	296

prune1.6s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

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))
1.3b	(/ y (- (/ a (- z t)) (/ t (- z t))))

rewrite293.0ms

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:

18.0ms	(/ t (- z t))
110.0ms	(- (/ a (- z t)) (/ t (- z t)))
13.0ms	(/ a (- z t))
140.0ms	(/ y (- (/ a (- z t)) (/ t (- z t))))

series341.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(/ t (- z t))
93.0ms	(- (/ a (- z t)) (/ t (- z t)))
38.0ms	(/ a (- z t))
149.0ms	(/ y (- (/ a (- z t)) (/ t (- z t))))

simplify1.2s

Counts

206 → 206

Iterations

Iter	Nodes
done	5001
2	2157
1	552
0	272

prune1.2s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ a (- z t)) (/ t (- z t)))
0.0b	(/ a (- z t))
0.2b	(/ 1 (- (/ a (- z t)) (/ t (- z t))))
1.3b	(* y (/ 1 (- (/ a (- z t)) (/ t (- z t)))))

rewrite594.0ms

Algorithm

rewrite-expression-head

Rules

293×	`*-un-lft-identity`
269×	`times-frac`
219×	`add-sqr-sqrt`
100×	`distribute-lft-out--`
76×	`add-cube-cbrt`
62×	`associate-r`
52×	`difference-of-squares`
42×	`associate-/r/`
24×	`distribute-rgt-out--`
23×	`associate-/r*`
20×	`flip3--` `flip--`
19×	`add-exp-log` `div-inv`
13×	`add-cbrt-cube`
7×	`pow1`
6×	`associate-/l*` `add-log-exp`
5×	`div-exp`
4×	`prod-exp`
3×	`cbrt-undiv` `associate-l` `frac-sub` `sub-div` `unswap-sqr`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `cbrt-unprod`
1×	`sub-neg` `diff-log` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

4 → 246

Calls

4 calls:

73.0ms	(- (/ a (- z t)) (/ t (- z t)))
9.0ms	(/ a (- z t))
165.0ms	(/ 1 (- (/ a (- z t)) (/ t (- z t))))
330.0ms	(* y (/ 1 (- (/ a (- z t)) (/ t (- z t)))))

series430.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(- (/ a (- z t)) (/ t (- z t)))
52.0ms	(/ a (- z t))
120.0ms	(/ 1 (- (/ a (- z t)) (/ t (- z t))))
161.0ms	(* y (/ 1 (- (/ a (- z t)) (/ t (- z t)))))

simplify1.4s

Counts

258 → 258

Iterations

Iter	Nodes
done	5001
2	3093
1	718
0	302

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes386.0ms

Accuracy

0% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.5b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	20
2	20
1	19
0	14

end0.0ms

sample1.4s

Algorithm

intervals

Results

655.0ms

8703×

body

valid