Details

sample21.0ms

Algorithm

intervals

Results

8.0ms

277×

body

valid

simplify858.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	10	11
1	21	11
2	36	10
3	58	10
4	95	10
5	138	10
6	190	10
7	215	10
8	245	10
9	279	10
10	365	10
11	478	10
12	550	10
13	644	10
14	672	10
done	672	10

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.1b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

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:

13.0ms	(/ (- z t) (- z a))
0.0ms	(fma (/ (- z t) (- z a)) y x)

series118.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(/ (- z t) (- z a))
75.0ms	(fma (/ (- z t) (- z a)) y x)

simplify2.0s

Counts

70 → 70

Iterations

Useful iterations: 4 (1.1s)

Iter	Nodes	Cost
0	113	884
1	261	856
2	594	808
3	1471	808
4	4064	806
done	5001	806

prune205.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.3b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite143.0ms

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:

5.0ms	(/ z (- z a))
6.0ms	(/ t (- z a))
76.0ms	(- (/ z (- z a)) (/ t (- z a)))
0.0ms	(fma (- (/ z (- z a)) (/ t (- z a))) y x)

series299.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(/ z (- z a))
29.0ms	(/ t (- z a))
110.0ms	(- (/ z (- z a)) (/ t (- z a)))
114.0ms	(fma (- (/ z (- z a)) (/ t (- z a))) y x)

simplify1.1s

Counts

593 → 593

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	569	28402
1	1184	25503
2	2776	19551
done	5001	19446

prune1.4s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ z (- z a))
0.0b	(- (/ z (- z a)) (/ 1 (/ (- z a) t)))
0.6b	(/ 1 (/ (- z a) t))
1.0b	(fma (- (/ z (- z a)) (/ 1 (/ (- z a) t))) y x)

rewrite374.0ms

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`
150×	`associate-/r/`
65×	`flip3--` `flip--`
24×	`associate-/r*`
21×	`fma-neg`
17×	`add-exp-log`
11×	`add-cbrt-cube`
8×	`div-exp`
6×	`associate-/l*` `add-log-exp`
5×	`pow1`
4×	`cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`sub-neg` `pow-flip` `diff-log` `frac-sub` `fma-udef` `inv-pow`

Counts

4 → 1503

Calls

4 calls:

6.0ms	(/ z (- z a))
137.0ms	(- (/ z (- z a)) (/ 1 (/ (- z a) t)))
14.0ms	(/ 1 (/ (- z a) t))
1.0ms	(fma (- (/ z (- z a)) (/ 1 (/ (- z a) t))) y x)

series393.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(/ z (- z a))
129.0ms	(- (/ z (- z a)) (/ 1 (/ (- z a) t)))
78.0ms	(/ 1 (/ (- z a) t))
133.0ms	(fma (- (/ z (- z a)) (/ 1 (/ (- z a) t))) y x)

simplify2.5s

Counts

1515 → 1515

Iterations

Useful iterations: 2 (1.5s)

Iter	Nodes	Cost
0	1428	103561
1	3028	81072
2	4983	61758
done	5000	61758

prune1.8s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- z a))
0.0b	(- (/ z (- z a)) (* (/ 1 (- z a)) t))
0.3b	(* (/ 1 (- z a)) t)
1.0b	(fma (- (/ z (- z a)) (* (/ 1 (- z a)) t)) y x)

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
69×	`*-un-lft-identity`
62×	`times-frac`
42×	`add-cube-cbrt`
21×	`fma-neg` `associate-l` `prod-diff`
17×	`add-exp-log`
13×	`distribute-lft-out--` `difference-of-squares`
11×	`add-cbrt-cube`
8×	`associate-/r/`
7×	`pow1`
6×	`add-log-exp`
5×	`flip3--` `associate-/r*` `flip--`
4×	`expm1-log1p-u` `div-exp` `prod-exp` `log1p-expm1-u` `div-inv`
3×	`associate-r` `associate-l/` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod`
1×	`sub-neg` `pow-flip` `frac-2neg` `diff-log` `pow-prod-down` `clear-num` `*-commutative` `frac-sub` `fma-udef` `inv-pow` `sub-div`

Counts

4 → 156

Calls

4 calls:

6.0ms	(/ 1 (- z a))
40.0ms	(- (/ z (- z a)) (* (/ 1 (- z a)) t))
22.0ms	(* (/ 1 (- z a)) t)
0.0ms	(fma (- (/ z (- z a)) (* (/ 1 (- z a)) t)) y x)

series348.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(/ 1 (- z a))
122.0ms	(- (/ z (- z a)) (* (/ 1 (- z a)) t))
68.0ms	(* (/ 1 (- z a)) t)
120.0ms	(fma (- (/ z (- z a)) (* (/ 1 (- z a)) t)) y x)

simplify1.7s

Counts

168 → 168

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	210	2375
1	459	1951
2	1096	1831
3	3326	1675
done	5000	1653

prune511.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.3b

regimes172.0ms

Accuracy

0% (0.6b remaining)

Error of 1.4b against oracle of 0.8b and baseline of 1.4b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample573.0ms

Algorithm

intervals

Results

294.0ms	8737×	body	80	valid
0.0ms	1×	body	320	valid