Details

sample44.0ms

Algorithm

intervals

Results

18.0ms

275×

body

valid

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	10	11
1	20	11
2	36	10
3	59	10
4	102	10
5	161	10
6	212	10
7	240	10
8	278	10
9	319	10
10	404	10
11	502	10
12	570	10
13	634	10
14	662	10
done	662	10

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
2.0b	(fma (/ (- z t) (- a t)) y x)

rewrite50.0ms

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

Counts

2 → 64

Calls

2 calls:

45.0ms	(/ (- z t) (- a t))
1.0ms	(fma (/ (- z t) (- a t)) y x)

series202.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(/ (- z t) (- a t))
126.0ms	(fma (/ (- z t) (- a t)) y x)

simplify3.5s

Counts

70 → 70

Iterations

Useful iterations: 4 (2.1s)

Iter	Nodes	Cost
0	113	884
1	259	856
2	632	808
3	1589	808
4	4609	806
done	5000	806

prune259.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ t (- a t))
0.0b	(- (/ z (- a t)) (/ t (- a t)))
2.0b	(fma (- (/ z (- a t)) (/ t (- a t))) y x)

rewrite275.0ms

Algorithm

rewrite-expression-head

Rules

694×	`*-un-lft-identity`
684×	`add-sqr-sqrt`
678×	`times-frac`
441×	`prod-diff`
402×	`add-cube-cbrt`
145×	`distribute-lft-out--`
139×	`difference-of-squares`
92×	`associate-/r/`
47×	`flip3--` `flip--`
46×	`div-inv`
21×	`fma-neg`
5×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`pow1` `expm1-log1p-u` `distribute-rgt-out--` `log1p-expm1-u` `associate-/l*`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `frac-sub` `fma-udef` `sub-div`

Counts

3 → 542

Calls

3 calls:

27.0ms	(/ t (- a t))
170.0ms	(- (/ z (- a t)) (/ t (- a t)))
1.0ms	(fma (- (/ z (- a t)) (/ t (- a t))) y x)

series461.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(/ t (- a t))
121.0ms	(- (/ z (- a t)) (/ t (- a t)))
271.0ms	(fma (- (/ z (- a t)) (/ t (- a t))) y x)

simplify2.5s

Counts

551 → 551

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	554	28012
1	1193	25140
2	2525	19198
done	5001	14617

prune998.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 1.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-sqr-sqrt` `*-un-lft-identity`
65×	`times-frac`
43×	`add-cube-cbrt`
18×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
15×	`distribute-lft-out--` `difference-of-squares`
13×	`associate-/l*`
10×	`add-exp-log` `associate-/r*`
8×	`add-cbrt-cube`
6×	`neg-mul-1`
5×	`pow1`
4×	`expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`div-exp`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `clear-num` `flip--` `fma-udef` `div-inv`
1×	`neg-sub0` `rec-exp` `pow-flip` `1-exp` `div-sub` `distribute-frac-neg` `inv-pow`

Counts

4 → 146

Calls

4 calls:

14.0ms	(/ 1 (- a t))
29.0ms	(/ (- t) (- a t))
0.0ms	(fma z (/ 1 (- a t)) (/ (- t) (- a t)))
0.0ms	(fma (fma z (/ 1 (- a t)) (/ (- t) (- a t))) y x)

series581.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(/ 1 (- a t))
75.0ms	(/ (- t) (- a t))
133.0ms	(fma z (/ 1 (- a t)) (/ (- t) (- a t)))
316.0ms	(fma (fma z (/ 1 (- a t)) (/ (- t) (- a t))) y x)

simplify2.0s

Counts

158 → 158

Iterations

Useful iterations: 3 (695.0ms)

Iter	Nodes	Cost
0	200	1843
1	378	1712
2	793	1574
3	1937	1572
done	5000	1572

prune670.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 1.0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
0.4b	(/ 1 (/ (- a t) (- z t)))
2.0b	(fma (/ 1 (/ (- a t) (- z t))) y x)

rewrite93.0ms

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--` `flip--` `div-inv`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`pow-flip` `div-sub` `fma-udef` `inv-pow`

Counts

3 → 214

Calls

3 calls:

34.0ms	(/ (- a t) (- z t))
45.0ms	(/ 1 (/ (- a t) (- z t)))
0.0ms	(fma (/ 1 (/ (- a t) (- z t))) y x)

series641.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(/ (- a t) (- z t))
236.0ms	(/ 1 (/ (- a t) (- z t)))
315.0ms	(fma (/ 1 (/ (- a t) (- z t))) y x)

simplify3.2s

Counts

223 → 223

Iterations

Useful iterations: 3 (1.8s)

Iter	Nodes	Cost
0	270	3746
1	605	3234
2	1378	2915
3	3737	2837
done	5000	2837

prune570.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.9b

regimes267.0ms

Accuracy

0% (0.9b remaining)

Error of 1.6b against oracle of 0.8b and baseline of 1.6b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	16
1	16	16
done	16	16

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.1s

8693×

body

valid