Details

sample28.0ms

Algorithm

intervals

Results

10.0ms

281×

body

valid

simplify4.5s

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

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

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:

20.0ms	(/ (- z t) (- a t))
0.0ms	(fma y (/ (- z t) (- a t)) x)

series209.0ms

Counts

2 → 6

Calls

2 calls:

88.0ms	(/ (- z t) (- a t))
121.0ms	(fma y (/ (- z t) (- a t)) x)

simplify2.1s

Counts

70 → 70

Iterations

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

prune459.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize23.0ms

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)

rewrite251.0ms

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:

159.0ms	(- (/ z (- a t)) (/ t (- a t)))
13.0ms	(/ t (- a t))
18.0ms	(/ z (- a t))
1.0ms	(fma y (- (/ z (- a t)) (/ t (- a t))) x)

series376.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(- (/ z (- a t)) (/ t (- a t)))
58.0ms	(/ t (- a t))
44.0ms	(/ z (- a t))
171.0ms	(fma y (- (/ z (- a t)) (/ t (- a t))) x)

simplify2.4s

Counts

593 → 593

Iterations

Iter	Nodes
done	5000
2	3844
1	1278
0	570

prune3.4s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize35.0ms

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)

rewrite72.0ms

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:

20.0ms	(/ (- a t) (- z t))
40.0ms	(/ 1 (/ (- a t) (- z t)))
1.0ms	(fma y (/ 1 (/ (- a t) (- z t))) x)

series710.0ms

Counts

3 → 9

Calls

3 calls:

121.0ms	(/ (- a t) (- z t))
299.0ms	(/ 1 (/ (- a t) (- z t)))
290.0ms	(fma y (/ 1 (/ (- a t) (- z t))) x)

simplify1.7s

Counts

223 → 223

Iterations

Iter	Nodes
done	5000
2	4061
1	703
0	270

prune1.0s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ z (- a t))
0.1b	(pow (/ t (- a t)) 3)
0.3b	(fma y (- (/ z (- a t)) (cbrt (pow (/ t (- a t)) 3))) x)
12.1b	(cbrt (pow (/ t (- a t)) 3))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

84×	`add-sqr-sqrt` `*-un-lft-identity`
75×	`times-frac`
52×	`add-cube-cbrt`
48×	`cbrt-prod`
42×	`unpow-prod-down` `cube-prod`
16×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-/r/`
9×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-/r*` `flip3--` `div-inv` `flip--`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `associate-/l*`
2×	`cube-div` `cube-mult` `cbrt-undiv` `unpow3` `div-exp` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `clear-num` `pow-pow` `frac-2neg` `pow1/3` `rem-cbrt-cube` `fma-udef`

Counts

4 → 173

Calls

4 calls:

24.0ms	(/ z (- a t))
25.0ms	(pow (/ t (- a t)) 3)
1.0ms	(fma y (- (/ z (- a t)) (cbrt (pow (/ t (- a t)) 3))) x)
18.0ms	(cbrt (pow (/ t (- a t)) 3))

series556.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(/ z (- a t))
162.0ms	(pow (/ t (- a t)) 3)
252.0ms	(fma y (- (/ z (- a t)) (cbrt (pow (/ t (- a t)) 3))) x)
72.0ms	(cbrt (pow (/ t (- a t)) 3))

simplify1.8s

Counts

185 → 185

Iterations

Iter	Nodes
done	5002
2	3420
1	684
0	226

prune1.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes775.0ms

Accuracy

0% (1.5b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	13
1	13
0	11

end0.0ms

sample1.0s

Algorithm

intervals

Results

599.0ms

8781×

body

valid