Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

275×

body

valid

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	10	11
1	20	11
2	35	10
3	58	10
4	96	10
5	153	10
6	211	10
7	238	10
8	290	10
9	332	10
10	428	10
11	703	10
12	915	10
13	968	10
14	978	10
done	978	10

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
0.9b	(fma (/ (- z t) (- a t)) y x)

rewrite16.0ms

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:

13.0ms	(/ (- z t) (- a t))
0.0ms	(fma (/ (- z t) (- a t)) y x)

series138.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(/ (- z t) (- a t))
86.0ms	(fma (/ (- z t) (- a t)) y x)

simplify966.0ms

Counts

70 → 70

Iterations

Useful iterations: done (963.0ms)

Iter	Nodes	Cost
0	113	884
1	259	856
2	681	808
3	2185	808
done	5000	806

prune220.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.7b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a t))
0.2b	(* (- z t) (/ 1 (- a t)))
0.9b	(fma (* (- z t) (/ 1 (- a t))) y x)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
32×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
16×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1`
5×	`associate-l` `associate-/r*`
4×	`flip3--` `div-exp` `prod-exp` `associate-/r/` `flip--`
3×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `fma-udef` `inv-pow`

Counts

3 → 105

Calls

3 calls:

6.0ms	(/ 1 (- a t))
28.0ms	(* (- z t) (/ 1 (- a t)))
0.0ms	(fma (* (- z t) (/ 1 (- a t))) y x)

series183.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(/ 1 (- a t))
53.0ms	(* (- z t) (/ 1 (- a t)))
84.0ms	(fma (* (- z t) (/ 1 (- a t))) y x)

simplify2.8s

Counts

114 → 114

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	149	1251
1	339	1062
2	1235	918
3	4197	918
done	5000	917

prune279.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.7b

localize14.0ms

Local error

Found 4 expressions with local error:

0.9b	(fma (* (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))) (cbrt (/ (- z t) (- a t)))) y x)
2.8b	(cbrt (/ (- z t) (- a t)))
2.8b	(cbrt (/ (- z t) (- a t)))
2.8b	(cbrt (/ (- z t) (- a t)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

97×	`add-sqr-sqrt` `*-un-lft-identity`
93×	`cbrt-prod`
75×	`times-frac`
37×	`add-cube-cbrt`
30×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-/r/`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-div` `flip3--` `pow1/3` `flip--` `div-inv`
1×	`fma-udef`

Counts

4 → 136

Calls

4 calls:

0.0ms	(fma (* (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))) (cbrt (/ (- z t) (- a t)))) y x)
7.0ms	(cbrt (/ (- z t) (- a t)))
6.0ms	(cbrt (/ (- z t) (- a t)))
7.0ms	(cbrt (/ (- z t) (- a t)))

series1.4s

Counts

4 → 12

Calls

4 calls:

89.0ms	(fma (* (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))) (cbrt (/ (- z t) (- a t)))) y x)
360.0ms	(cbrt (/ (- z t) (- a t)))
364.0ms	(cbrt (/ (- z t) (- a t)))
628.0ms	(cbrt (/ (- z t) (- a t)))

simplify949.0ms

Counts

148 → 148

Iterations

Useful iterations: 3 (288.0ms)

Iter	Nodes	Cost
0	175	2777
1	332	2684
2	747	2387
3	2353	2330
done	5000	2330

prune567.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.7b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma y (/ (- z t) (- a t)) x))
0.9b	(fma y (/ (- z t) (- a t)) x)
0.9b	(fma y (/ (- z t) (- a t)) x)
0.9b	(fma y (/ (- z t) (- a t)) x)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `fma-udef`
1×	`pow1/3`

Counts

4 → 43

Calls

4 calls:

1.0ms	(cbrt (fma y (/ (- z t) (- a t)) x))
0.0ms	(fma y (/ (- z t) (- a t)) x)
0.0ms	(fma y (/ (- z t) (- a t)) x)
0.0ms	(fma y (/ (- z t) (- a t)) x)

series631.0ms

Counts

4 → 12

Calls

4 calls:

364.0ms	(cbrt (fma y (/ (- z t) (- a t)) x))
82.0ms	(fma y (/ (- z t) (- a t)) x)
95.0ms	(fma y (/ (- z t) (- a t)) x)
91.0ms	(fma y (/ (- z t) (- a t)) x)

simplify1.9s

Counts

55 → 55

Iterations

Useful iterations: 4 (421.0ms)

Iter	Nodes	Cost
0	60	737
1	119	732
2	280	647
3	968	641
4	4293	633
done	5000	633

prune195.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.7b

regimes193.0ms

Accuracy

0% (0.8b remaining)

Error of 1.6b against oracle of 0.7b and baseline of 1.6b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	10
done	9	10

end0.0ms

sample557.0ms

Algorithm

intervals

Results

269.0ms	8721×	body	80	valid
0.0ms	1×	body	2560	valid