Details

sample45.0ms

Algorithm

intervals

Results

14.0ms	246×	body	80	valid
4.0ms	19×	body	640	valid
3.0ms	17×	body	320	valid
1.0ms	6×	body	1280	valid
1.0ms	8×	body	160	valid

simplify2.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	3874
5	979
4	326
3	116
2	45
1	20
0	11

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.8b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
2.7b	(fma (/ (- z t) (- a t)) (- y x) x)

rewrite43.0ms

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-cbrt-cube` `add-exp-log`
2×	`expm1-log1p-u` `pow1` `flip3--` `associate-/r/` `log1p-expm1-u` `flip--` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `fma-udef` `div-inv`

Counts

2 → 64

Calls

2 calls:

38.0ms	(/ (- z t) (- a t))
1.0ms	(fma (/ (- z t) (- a t)) (- y x) x)

series254.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(/ (- z t) (- a t))
180.0ms	(fma (/ (- z t) (- a t)) (- y x) x)

simplify2.1s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
3	4602
2	861
1	272
0	116

prune444.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.7b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ z (- a t))
0.0b	(/ t (- a t))
0.0b	(- (/ z (- a t)) (/ t (- a t)))
2.7b	(fma (- (/ z (- a t)) (/ t (- a t))) (- y x) x)

rewrite289.0ms

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-cbrt-cube` `add-exp-log`
6×	`associate-/l*` `add-log-exp`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u`
3×	`distribute-rgt-out--`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp`
1×	`sub-neg` `diff-log` `frac-sub` `fma-udef` `sub-div`

Counts

4 → 581

Calls

4 calls:

10.0ms	(/ z (- a t))
11.0ms	(/ t (- a t))
170.0ms	(- (/ z (- a t)) (/ t (- a t)))
1.0ms	(fma (- (/ z (- a t)) (/ t (- a t))) (- y x) x)

series922.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(/ z (- a t))
78.0ms	(/ t (- a t))
104.0ms	(- (/ z (- a t)) (/ t (- a t)))
689.0ms	(fma (- (/ z (- a t)) (/ t (- a t))) (- y x) x)

simplify2.6s

Counts

593 → 593

Iterations

Iter	Nodes
done	5000
2	3850
1	1289
0	573

prune4.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.7b

localize41.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
0.4b	(/ 1 (/ (- a t) (- z t)))
2.7b	(fma (/ 1 (/ (- a t) (- z t))) (- y x) x)

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
195×	`add-sqr-sqrt` `*-un-lft-identity`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
16×	`add-exp-log`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`flip3--` `div-inv` `flip--`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-/l/`
1×	`div-sub` `fma-udef` `pow-flip` `inv-pow`

Counts

3 → 214

Calls

3 calls:

37.0ms	(/ (- a t) (- z t))
38.0ms	(/ 1 (/ (- a t) (- z t)))
1.0ms	(fma (/ 1 (/ (- a t) (- z t))) (- y x) x)

series529.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(/ (- a t) (- z t))
195.0ms	(/ 1 (/ (- a t) (- z t)))
257.0ms	(fma (/ 1 (/ (- a t) (- z t))) (- y x) x)

simplify2.0s

Counts

223 → 223

Iterations

Iter	Nodes
done	5002
2	3962
1	714
0	273

prune1.4s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.7b

localize40.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
1.1b	(/ (- y x) (/ (- a t) (- z t)))
2.4b	(+ (/ (- y x) (/ (- a t) (- z t))) x)

rewrite412.0ms

Algorithm

rewrite-expression-head

Rules

610×	`times-frac`
572×	`*-un-lft-identity`
570×	`add-sqr-sqrt`
200×	`add-cube-cbrt`
185×	`distribute-lft-out--` `difference-of-squares`
160×	`fma-def`
36×	`associate-/r*`
26×	`associate-/r/`
14×	`flip3--` `div-inv` `flip--`
10×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`expm1-log1p-u` `pow1` `div-sub` `log1p-expm1-u`
2×	`clear-num` `frac-2neg`
1×	`+-commutative` `sum-log` `flip3-+` `associate-+l-` `flip-+` `distribute-lft-out`

Counts

3 → 440

Calls

3 calls:

44.0ms	(/ (- a t) (- z t))
65.0ms	(/ (- y x) (/ (- a t) (- z t)))
244.0ms	(+ (/ (- y x) (/ (- a t) (- z t))) x)

series723.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(/ (- a t) (- z t))
388.0ms	(/ (- y x) (/ (- a t) (- z t)))
259.0ms	(+ (/ (- y x) (/ (- a t) (- z t))) x)

simplify1.1s

Counts

449 → 449

Iterations

Iter	Nodes
done	5001
1	1167
0	360

prune2.8s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 4.7b

regimes1.0s

Accuracy

0% (4.0b remaining)

Error of 7.5b against oracle of 3.5b and baseline of 7.5b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
0	12

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.0s	7782×	body	80	valid
141.0ms	518×	body	640	valid
100.0ms	376×	body	320	valid
75.0ms	288×	body	1280	valid
27.0ms	251×	body	160	valid
4.0ms	11×	body	2560	valid