Details

sample43.0ms

Algorithm

intervals

Results

14.0ms

281×

body

valid

simplify4.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
10	4206
9	1419
8	740
7	408
6	286
5	190
4	115
3	60
2	32
1	17
0	10

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

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:

27.0ms	(/ (- z t) (- a t))
1.0ms	(fma y (/ (- z t) (- a t)) x)

series224.0ms

Counts

2 → 6

Calls

2 calls:

77.0ms	(/ (- z t) (- a t))
146.0ms	(fma y (/ (- z t) (- a t)) x)

simplify2.2s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
3	4356
2	831
1	264
0	113

prune523.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite226.0ms

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:

132.0ms	(- (/ z (- a t)) (/ t (- a t)))
26.0ms	(/ t (- a t))
18.0ms	(/ z (- a t))
1.0ms	(fma y (- (/ z (- a t)) (/ t (- a t))) x)

series422.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(- (/ z (- a t)) (/ t (- a t)))
53.0ms	(/ t (- a t))
45.0ms	(/ z (- a t))
208.0ms	(fma y (- (/ z (- a t)) (/ t (- a t))) x)

simplify2.6s

Counts

593 → 593

Iterations

Iter	Nodes
done	5000
2	3844
1	1278
0	570

prune4.2s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
0.2b	(/ 1 (/ (- a t) (- z t)))
0.3b	(fma y (/ 1 (/ (- a t) (- z t))) x)

rewrite103.0ms

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:

38.0ms	(/ (- a t) (- z t))
48.0ms	(/ 1 (/ (- a t) (- z t)))
0.0ms	(fma y (/ 1 (/ (- a t) (- z t))) x)

series676.0ms

Counts

3 → 9

Calls

3 calls:

118.0ms	(/ (- a t) (- z t))
249.0ms	(/ 1 (/ (- a t) (- z t)))
309.0ms	(fma y (/ 1 (/ (- a t) (- z t))) x)

simplify1.9s

Counts

223 → 223

Iterations

Iter	Nodes
done	5000
2	4061
1	703
0	270

prune1.3s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- a t))
0.0b	(/ 1 (- z t))
0.2b	(/ (/ 1 (- a t)) (/ 1 (- z t)))
0.3b	(fma y (/ (/ 1 (- a t)) (/ 1 (- z t))) x)

rewrite224.0ms

Algorithm

rewrite-expression-head

Rules

1131×	`times-frac`
700×	`add-sqr-sqrt` `*-un-lft-identity`
420×	`add-cube-cbrt`
140×	`distribute-lft-out--` `difference-of-squares`
93×	`associate-/r/`
52×	`add-exp-log`
47×	`div-inv`
46×	`flip3--` `flip--`
36×	`div-exp`
31×	`associate-/r*`
27×	`associate-/l*`
20×	`add-cbrt-cube`
10×	`cbrt-undiv` `rec-exp` `1-exp`
6×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`pow-flip` `inv-pow`
1×	`fma-udef` `associate-/l/`

Counts

4 → 613

Calls

4 calls:

21.0ms	(/ 1 (- a t))
22.0ms	(/ 1 (- z t))
84.0ms	(/ (/ 1 (- a t)) (/ 1 (- z t)))
1.0ms	(fma y (/ (/ 1 (- a t)) (/ 1 (- z t))) x)

series729.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(/ 1 (- a t))
81.0ms	(/ 1 (- z t))
250.0ms	(/ (/ 1 (- a t)) (/ 1 (- z t)))
306.0ms	(fma y (/ (/ 1 (- a t)) (/ 1 (- z t))) x)

simplify2.1s

Counts

625 → 625

Iterations

Iter	Nodes
done	5002
1	2554
0	747

prune2.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes673.0ms

Accuracy

0% (1.5b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	13
1	13
0	11

end0.0ms

sample1.2s

Algorithm

intervals

Results

554.0ms

8781×

body

valid