Details

sample31.0ms

Algorithm

intervals

Results

13.0ms

281×

body

valid

simplify1.4s

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

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
26×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
9×	`add-cbrt-cube` `add-exp-log`
5×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-sub` `pow-prod-down` `associate-r/` `-commutative`

Counts

2 → 102

Calls

2 calls:

24.0ms	(/ (- z t) (- a t))
53.0ms	(* y (/ (- z t) (- a t)))

series156.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(/ (- z t) (- a t))
89.0ms	(* y (/ (- z t) (- a t)))

simplify557.0ms

Counts

108 → 108

Iterations

Iter	Nodes
done	5000
2	1516
1	374
0	138

prune560.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
0.2b	(/ 1 (/ (- a t) (- z t)))
1.1b	(* y (/ 1 (/ (- a t) (- z t))))

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
335×	`add-sqr-sqrt`
323×	`*-un-lft-identity`
157×	`add-cube-cbrt`
98×	`associate-r`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
35×	`add-exp-log`
19×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
7×	`cbrt-undiv` `prod-exp`
6×	`pow1`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `cbrt-unprod` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`div-sub` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

3 → 327

Calls

3 calls:

26.0ms	(/ (- a t) (- z t))
31.0ms	(/ 1 (/ (- a t) (- z t)))
79.0ms	(* y (/ 1 (/ (- a t) (- z t))))

series436.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(/ (- a t) (- z t))
182.0ms	(/ 1 (/ (- a t) (- z t)))
191.0ms	(* y (/ 1 (/ (- a t) (- z t))))

simplify496.0ms

Counts

336 → 336

Iterations

Iter	Nodes
done	5000
1	1033
0	351

prune1.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ a (- z t))
0.0b	(/ t (- z t))
0.2b	(/ 1 (- (/ a (- z t)) (/ t (- z t))))
1.1b	(* y (/ 1 (- (/ a (- z t)) (/ t (- z t)))))

rewrite351.0ms

Algorithm

rewrite-expression-head

Rules

283×	`*-un-lft-identity`
266×	`times-frac`
219×	`add-sqr-sqrt`
92×	`distribute-lft-out--`
84×	`add-cube-cbrt`
62×	`associate-r`
50×	`difference-of-squares`
40×	`associate-/r/`
28×	`associate-/r*`
21×	`distribute-rgt-out--` `add-exp-log`
18×	`flip3--` `div-inv` `flip--`
15×	`add-cbrt-cube`
9×	`associate-/l*`
7×	`pow1`
6×	`div-exp`
4×	`cbrt-undiv` `prod-exp` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-l` `unswap-sqr`
2×	`rec-exp` `1-exp` `frac-sub` `cbrt-unprod` `sub-div`
1×	`pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

4 → 254

Calls

4 calls:

10.0ms	(/ a (- z t))
8.0ms	(/ t (- z t))
92.0ms	(/ 1 (- (/ a (- z t)) (/ t (- z t))))
227.0ms	(* y (/ 1 (- (/ a (- z t)) (/ t (- z t)))))

series317.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(/ a (- z t))
69.0ms	(/ t (- z t))
89.0ms	(/ 1 (- (/ a (- z t)) (/ t (- z t))))
117.0ms	(* y (/ 1 (- (/ a (- z t)) (/ t (- z t)))))

simplify1.2s

Counts

266 → 266

Iterations

Iter	Nodes
done	5001
2	3588
1	771
0	325

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite235.0ms

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:

72.0ms	(- (/ a (- z t)) (/ t (- z t)))
9.0ms	(/ a (- z t))
14.0ms	(/ t (- z t))
131.0ms	(/ y (- (/ a (- z t)) (/ t (- z t))))

series327.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(- (/ a (- z t)) (/ t (- z t)))
42.0ms	(/ a (- z t))
59.0ms	(/ t (- z t))
131.0ms	(/ y (- (/ a (- z t)) (/ t (- z t))))

simplify1.2s

Counts

206 → 206

Iterations

Iter	Nodes
done	5001
2	2154
1	552
0	272

prune1.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes498.0ms

Accuracy

0% (1.5b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample1.2s

Algorithm

intervals

Results

759.0ms

8781×

body

valid