Details

sample28.0ms

Algorithm

intervals

Results

10.0ms

281×

body

valid

simplify2.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
11	3462
10	1180
9	657
8	399
7	313
6	270
5	179
4	104
3	59
2	36
1	20
0	10

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

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:

31.0ms	(/ (- z t) (- a t))
0.0ms	(fma (/ (- z t) (- a t)) y x)

series171.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(/ (- z t) (- a t))
102.0ms	(fma (/ (- z t) (- a t)) y x)

simplify1.8s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
3	4648
2	833
1	264
0	113

prune404.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.3b

localize31.0ms

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 (- (/ z (- a t)) (/ t (- a t))) y x)

rewrite208.0ms

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:

116.0ms	(- (/ z (- a t)) (/ t (- a t)))
15.0ms	(/ t (- a t))
16.0ms	(/ z (- a t))
1.0ms	(fma (- (/ z (- a t)) (/ t (- a t))) y x)

series453.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(- (/ z (- a t)) (/ t (- a t)))
69.0ms	(/ t (- a t))
49.0ms	(/ z (- a t))
233.0ms	(fma (- (/ z (- a t)) (/ t (- a t))) y x)

simplify1.7s

Counts

593 → 593

Iterations

Iter	Nodes
done	5000
2	3843
1	1278
0	570

prune3.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ z (- a t)) (/ 1 (+ (/ a t) -1)))
0.0b	(/ z (- a t))
0.1b	(/ 1 (+ (/ a t) -1))
0.3b	(fma (- (/ z (- a t)) (/ 1 (+ (/ a t) -1))) y x)

rewrite212.0ms

Algorithm

rewrite-expression-head

Rules

868×	`times-frac`
836×	`add-sqr-sqrt`
777×	`*-un-lft-identity`
504×	`prod-diff`
460×	`add-cube-cbrt`
134×	`difference-of-sqr--1`
96×	`associate-/r/`
87×	`distribute-lft-out--`
85×	`difference-of-squares`
69×	`distribute-lft-out`
49×	`div-inv`
27×	`flip3--` `flip--`
22×	`flip3-+` `flip-+`
21×	`fma-neg`
11×	`associate-/r*`
10×	`add-exp-log`
8×	`add-cbrt-cube`
6×	`associate-/l*` `add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`div-exp`
2×	`cbrt-undiv` `clear-num` `frac-2neg`
1×	`rec-exp` `sub-neg` `diff-log` `1-exp` `frac-sub` `fma-udef` `pow-flip` `inv-pow`

Counts

4 → 648

Calls

4 calls:

122.0ms	(- (/ z (- a t)) (/ 1 (+ (/ a t) -1)))
9.0ms	(/ z (- a t))
21.0ms	(/ 1 (+ (/ a t) -1))
0.0ms	(fma (- (/ z (- a t)) (/ 1 (+ (/ a t) -1))) y x)

series418.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(- (/ z (- a t)) (/ 1 (+ (/ a t) -1)))
52.0ms	(/ z (- a t))
62.0ms	(/ 1 (+ (/ a t) -1))
204.0ms	(fma (- (/ z (- a t)) (/ 1 (+ (/ a t) -1))) y x)

simplify1.6s

Counts

660 → 660

Iterations

Iter	Nodes
done	5000
2	4204
1	1459
0	648

prune2.0s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- a t) (- z t))
1.1b	(/ y (/ (- a t) (- z t)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
194×	`add-sqr-sqrt` `*-un-lft-identity`
90×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
9×	`add-cbrt-cube` `add-exp-log`
8×	`associate-/l*`
6×	`flip3--` `div-inv` `flip--`
4×	`cbrt-undiv` `div-exp`
2×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `log1p-expm1-u` `add-log-exp` `associate-/l/`
1×	`div-sub`

Counts

2 → 198

Calls

2 calls:

26.0ms	(/ (- a t) (- z t))
24.0ms	(/ y (/ (- a t) (- z t)))

series293.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(/ (- a t) (- z t))
219.0ms	(/ y (/ (- a t) (- z t)))

simplify1.3s

Counts

204 → 204

Iterations

Iter	Nodes
done	5001
2	3851
1	743
0	274

prune1.0s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes435.0ms

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	17
1	17
0	14

end0.0ms

sample1.3s

Algorithm

intervals

Results

884.0ms

8781×

body

valid