Details

sample27.0ms

Algorithm

intervals

Results

12.0ms

322×

body

valid

simplify978.0ms

Counts

1 → 1

Iterations

Useful iterations: 5 (54.0ms)

Iter	Nodes	Cost
0	14	17
1	25	17
2	49	16
3	89	16
4	163	16
5	257	15
6	420	15
7	1029	15
done	5000	15

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.6b

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma (/ (fma z (- 1.0 t) 1) z) (/ 2.0 t) (/ x y))
9.0b	(/ (fma z (- 1.0 t) 1) z)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
4×	`add-exp-log` `add-cbrt-cube`
3×	`associate-/r` `associate-/l`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `fma-udef` `div-inv`

Counts

2 → 39

Calls

2 calls:

0.0ms	(fma (/ (fma z (- 1.0 t) 1) z) (/ 2.0 t) (/ x y))
2.0ms	(/ (fma z (- 1.0 t) 1) z)

series137.0ms

Counts

2 → 6

Calls

2 calls:

97.0ms	(fma (/ (fma z (- 1.0 t) 1) z) (/ 2.0 t) (/ x y))
39.0ms	(/ (fma z (- 1.0 t) 1) z)

simplify2.0s

Counts

45 → 45

Iterations

Useful iterations: 4 (610.0ms)

Iter	Nodes	Cost
0	80	669
1	142	659
2	351	590
3	1092	590
4	3863	589
done	5001	589

prune160.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ 1 z) 1.0)
0.1b	(fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

13×	`fma-def`
12×	`*-un-lft-identity`
9×	`add-sqr-sqrt` `add-cube-cbrt` `times-frac`
4×	`add-log-exp`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `div-inv` `distribute-lft-out`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `fma-udef`

Counts

2 → 38

Calls

2 calls:

10.0ms	(+ (/ 1 z) 1.0)
1.0ms	(fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y))

series76.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(+ (/ 1 z) 1.0)
62.0ms	(fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y))

simplify1.5s

Counts

44 → 44

Iterations

Useful iterations: 4 (448.0ms)

Iter	Nodes	Cost
0	54	376
1	133	371
2	306	322
3	904	322
4	3363	318
done	5000	318

prune149.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (fma (- 1.0 t) 2.0 (/ 2.0 z)) t) (/ x y))
0.1b	(/ (fma (- 1.0 t) 2.0 (/ 2.0 z)) t)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
20×	`times-frac`
17×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`fma-def`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `div-inv` `distribute-lft-out`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `flip3-+` `div-exp` `frac-add` `clear-num` `sum-log` `flip-+`

Counts

2 → 58

Calls

2 calls:

17.0ms	(+ (/ (fma (- 1.0 t) 2.0 (/ 2.0 z)) t) (/ x y))
3.0ms	(/ (fma (- 1.0 t) 2.0 (/ 2.0 z)) t)

series120.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(+ (/ (fma (- 1.0 t) 2.0 (/ 2.0 z)) t) (/ x y))
47.0ms	(/ (fma (- 1.0 t) 2.0 (/ 2.0 z)) t)

simplify994.0ms

Counts

64 → 64

Iterations

Useful iterations: 3 (213.0ms)

Iter	Nodes	Cost
0	94	919
1	211	876
2	528	815
3	1584	808
done	5000	808

prune204.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (- (/ 2.0 t) 2.0) (/ (/ 2.0 t) z)) (/ x y))
0.0b	(+ (- (/ 2.0 t) 2.0) (/ (/ 2.0 t) z))
0.2b	(/ (/ 2.0 t) z)

rewrite480.0ms

Algorithm

rewrite-expression-head

Rules

103×	`times-frac`
102×	`*-un-lft-identity`
86×	`add-sqr-sqrt`
81×	`add-cube-cbrt`
42×	`associate-+l+`
39×	`prod-diff`
17×	`add-log-exp`
13×	`associate-/l*`
11×	`fma-def`
9×	`distribute-lft-out`
8×	`add-exp-log` `frac-add` `add-cbrt-cube` `div-inv`
7×	`sum-log`
4×	`distribute-lft-out--`
3×	`pow1` `cbrt-undiv` `expm1-log1p-u` `associate-+l-` `flip3-+` `div-exp` `associate-/r*` `flip-+` `log1p-expm1-u`
2×	`+-commutative` `flip3--` `diff-log` `flip--` `difference-of-squares`
1×	`sub-neg` `frac-2neg` `clear-num` `associate-/l/`

Counts

3 → 167

Calls

3 calls:

386.0ms	(+ (+ (- (/ 2.0 t) 2.0) (/ (/ 2.0 t) z)) (/ x y))
79.0ms	(+ (- (/ 2.0 t) 2.0) (/ (/ 2.0 t) z))
6.0ms	(/ (/ 2.0 t) z)

series118.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(+ (+ (- (/ 2.0 t) 2.0) (/ (/ 2.0 t) z)) (/ x y))
34.0ms	(+ (- (/ 2.0 t) 2.0) (/ (/ 2.0 t) z))
24.0ms	(/ (/ 2.0 t) z)

simplify1.0s

Counts

176 → 176

Iterations

Useful iterations: 2 (296.0ms)

Iter	Nodes	Cost
0	262	2718
1	638	2421
2	2404	2162
done	5000	2162

prune545.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes124.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	15
1	13	15
done	13	15

end0.0ms

sample694.0ms

Algorithm

intervals

Results

414.0ms

10529×

body

valid