Details

sample51.0ms

Algorithm

intervals

Results

20.0ms

280×

body

valid

simplify4.0s

Counts

1 → 1

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	10	11
1	21	11
2	37	10
3	60	10
4	105	10
5	180	10
6	304	10
7	360	10
8	448	10
9	713	10
10	1241	10
11	3537	10
done	5000	10

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
0.8b	(fma (/ (- z t) (- z a)) y x)

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`times-frac`
14×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`add-exp-log` `add-cbrt-cube`
2×	`pow1` `expm1-log1p-u` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `fma-udef` `div-inv`

Counts

2 → 64

Calls

2 calls:

55.0ms	(/ (- z t) (- z a))
0.0ms	(fma (/ (- z t) (- z a)) y x)

series222.0ms

Counts

2 → 6

Calls

2 calls:

92.0ms	(/ (- z t) (- z a))
130.0ms	(fma (/ (- z t) (- z a)) y x)

simplify2.5s

Counts

70 → 70

Iterations

Useful iterations: 3 (721.0ms)

Iter	Nodes	Cost
0	113	884
1	266	856
2	824	810
3	4498	808
done	5000	808

prune315.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.3b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ t (- z a))
0.0b	(/ z (- z a))
0.0b	(- (/ z (- z a)) (/ t (- z a)))
0.8b	(fma (- (/ z (- z a)) (/ t (- z a))) y x)

rewrite248.0ms

Algorithm

rewrite-expression-head

Rules

713×	`*-un-lft-identity`
703×	`add-sqr-sqrt`
693×	`times-frac`
441×	`prod-diff`
413×	`add-cube-cbrt`
149×	`distribute-lft-out--`
143×	`difference-of-squares`
94×	`associate-/r/`
48×	`flip3--` `flip--`
47×	`div-inv`
21×	`fma-neg`
10×	`associate-/r*`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*` `add-log-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`distribute-rgt-out--`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`sub-neg` `diff-log` `frac-sub` `fma-udef` `sub-div`

Counts

4 → 581

Calls

4 calls:

12.0ms	(/ t (- z a))
14.0ms	(/ z (- z a))
159.0ms	(- (/ z (- z a)) (/ t (- z a)))
0.0ms	(fma (- (/ z (- z a)) (/ t (- z a))) y x)

series555.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(/ t (- z a))
86.0ms	(/ z (- z a))
184.0ms	(- (/ z (- z a)) (/ t (- z a)))
238.0ms	(fma (- (/ z (- z a)) (/ t (- z a))) y x)

simplify3.0s

Counts

593 → 593

Iterations

Useful iterations: 2 (1.4s)

Iter	Nodes	Cost
0	569	28402
1	1279	25566
2	3826	20202
done	5000	20202

prune2.4s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.3b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ z (- z a)) (/ 1 (/ (- z a) t)))
0.0b	(/ (- z a) t)
0.4b	(/ 1 (/ (- z a) t))
0.8b	(fma (- (/ z (- z a)) (/ 1 (/ (- z a) t))) y x)

rewrite559.0ms

Algorithm

rewrite-expression-head

Rules

3240×	`times-frac`
2445×	`add-sqr-sqrt`
2428×	`*-un-lft-identity`
1624×	`add-cube-cbrt`
1302×	`prod-diff`
404×	`difference-of-squares`
399×	`distribute-lft-out--`
154×	`div-inv`
148×	`associate-/r/`
65×	`flip3--` `flip--`
22×	`associate-/r*`
21×	`fma-neg`
17×	`add-exp-log`
11×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`add-log-exp`
5×	`pow1`
4×	`cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`sub-neg` `pow-flip` `diff-log` `div-sub` `frac-sub` `fma-udef` `inv-pow`

Counts

4 → 1504

Calls

4 calls:

220.0ms	(- (/ z (- z a)) (/ 1 (/ (- z a) t)))
33.0ms	(/ (- z a) t)
18.0ms	(/ 1 (/ (- z a) t))
0.0ms	(fma (- (/ z (- z a)) (/ 1 (/ (- z a) t))) y x)

series495.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(- (/ z (- z a)) (/ 1 (/ (- z a) t)))
32.0ms	(/ (- z a) t)
118.0ms	(/ 1 (/ (- z a) t))
178.0ms	(fma (- (/ z (- z a)) (/ 1 (/ (- z a) t))) y x)

simplify1.9s

Counts

1516 → 1516

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	1427	103585
1	3303	81105
done	5000	74171

prune2.6s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.3b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ z (- z a))
0.0b	(/ 1 (- z a))
0.3b	(/ (/ 1 (- z a)) (/ 1 t))
0.8b	(fma (- (/ z (- z a)) (/ (/ 1 (- z a)) (/ 1 t))) y x)

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

711×	`times-frac`
404×	`add-sqr-sqrt` `*-un-lft-identity`
304×	`add-cube-cbrt`
50×	`add-exp-log` `distribute-lft-out--` `difference-of-squares`
39×	`div-inv`
35×	`div-exp`
33×	`associate-/r/`
27×	`associate-/l*`
23×	`associate-/r*`
20×	`add-cbrt-cube`
16×	`flip3--` `flip--`
10×	`cbrt-undiv`
9×	`rec-exp` `1-exp`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num`
1×	`pow-flip` `fma-udef` `associate-/l/` `inv-pow`

Counts

4 → 433

Calls

4 calls:

12.0ms	(/ z (- z a))
14.0ms	(/ 1 (- z a))
41.0ms	(/ (/ 1 (- z a)) (/ 1 t))
0.0ms	(fma (- (/ z (- z a)) (/ (/ 1 (- z a)) (/ 1 t))) y x)

series357.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(/ z (- z a))
64.0ms	(/ 1 (- z a))
74.0ms	(/ (/ 1 (- z a)) (/ 1 t))
150.0ms	(fma (- (/ z (- z a)) (/ (/ 1 (- z a)) (/ 1 t))) y x)

simplify1.3s

Counts

445 → 445

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	593	8783
1	1958	6616
done	5001	6110

prune746.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.3b

regimes232.0ms

Accuracy

0% (0.3b remaining)

Error of 1.2b against oracle of 0.9b and baseline of 1.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	16
1	14	16
done	14	16

end0.0ms

sample1.2s

Algorithm

intervals

Results

559.0ms	8752×	body	80	valid
0.0ms	1×	body	640	valid