Details

sample60.0ms

Algorithm

intervals

Results

29.0ms	324×	body	80	valid
2.0ms	5×	body	1280	valid
1.0ms	5×	body	320	valid
0.0ms	1×	body	640	valid

simplify3.4s

Counts

1 → 1

Iterations

Useful iterations: 4 (356.0ms)

Iter	Nodes	Cost
0	12	15
1	31	14
2	89	14
3	280	12
4	744	11
5	1269	11
6	1442	11
7	1456	11
done	1456	11

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma x (fma 2 (+ y z) t) (* y 5.0))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma x (fma 2 (+ y z) t) (* y 5.0))

series92.0ms

Counts

1 → 3

Calls

1 calls:

91.0ms

(fma x (fma 2 (+ y z) t) (* y 5.0))

simplify1.2s

Counts

13 → 13

Iterations

Useful iterations: 3 (106.0ms)

Iter	Nodes	Cost
0	30	197
1	56	191
2	133	163
3	378	156
4	1341	156
done	5000	156

prune53.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 2 (+ y z)) x)
0.0b	(fma y 5.0 (* (* 2 (+ y z)) x))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `associate-r/` `associate-l/` `log1p-expm1-u` `add-log-exp`
1×	`flip3-+` `associate-l` `*-commutative` `flip-+` `fma-udef`

Counts

2 → 32

Calls

2 calls:

85.0ms	(* (* 2 (+ y z)) x)
1.0ms	(fma y 5.0 (* (* 2 (+ y z)) x))

series108.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(* (* 2 (+ y z)) x)
76.0ms	(fma y 5.0 (* (* 2 (+ y z)) x))

simplify4.3s

Counts

38 → 38

Iterations

Useful iterations: 2 (206.0ms)

Iter	Nodes	Cost
0	74	431
1	199	410
2	834	341
3	3882	341
done	5001	341

prune126.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x (fma 2 (+ y z) t) (* y 5.0))
0.1b	(sqrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
0.1b	(sqrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
0.2b	(* (sqrt (fma x (fma 2 (+ y z) t) (* y 5.0))) (sqrt (fma x (fma 2 (+ y z) t) (* y 5.0))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 91

Calls

4 calls:

1.0ms	(fma x (fma 2 (+ y z) t) (* y 5.0))
4.0ms	(sqrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
11.0ms	(sqrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
27.0ms	(* (sqrt (fma x (fma 2 (+ y z) t) (* y 5.0))) (sqrt (fma x (fma 2 (+ y z) t) (* y 5.0))))

series1.3s

Counts

4 → 12

Calls

4 calls:

65.0ms	(fma x (fma 2 (+ y z) t) (* y 5.0))
593.0ms	(sqrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
590.0ms	(sqrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
63.0ms	(* (sqrt (fma x (fma 2 (+ y z) t) (* y 5.0))) (sqrt (fma x (fma 2 (+ y z) t) (* y 5.0))))

simplify1.9s

Counts

103 → 103

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	108	2405
1	231	1691
2	641	1511
3	2063	1402
done	5000	1354

prune448.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
0.1b	(sqrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
0.2b	(* (pow (sqrt (sqrt (fma x (fma 2 (+ y z) t) (* y 5.0)))) 3) (sqrt (sqrt (fma x (fma 2 (+ y z) t) (* y 5.0)))))
0.4b	(pow (sqrt (sqrt (fma x (fma 2 (+ y z) t) (* y 5.0)))) 3)

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

93×	`sqrt-prod`
70×	`add-sqr-sqrt`
27×	`unpow-prod-down` `cube-prod`
24×	`associate-l` `unswap-sqr`
23×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow1` `add-exp-log`
9×	`associate-r`
7×	`add-cbrt-cube`
6×	`sqrt-pow1`
5×	`pow-pow` `sqr-pow`
4×	`expm1-log1p-u` `pow1/2` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `prod-exp`
2×	`cube-mult` `pow-to-exp` `rem-sqrt-square` `unpow3` `pow-exp`
1×	`pow-plus` `*-commutative` `pow-prod-up` `sqrt-pow2` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 145

Calls

4 calls:

2.0ms	(sqrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
2.0ms	(sqrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
44.0ms	(* (pow (sqrt (sqrt (fma x (fma 2 (+ y z) t) (* y 5.0)))) 3) (sqrt (sqrt (fma x (fma 2 (+ y z) t) (* y 5.0)))))
19.0ms	(pow (sqrt (sqrt (fma x (fma 2 (+ y z) t) (* y 5.0)))) 3)

series2.4s

Counts

4 → 12

Calls

4 calls:

623.0ms	(sqrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
628.0ms	(sqrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
81.0ms	(* (pow (sqrt (sqrt (fma x (fma 2 (+ y z) t) (* y 5.0)))) 3) (sqrt (sqrt (fma x (fma 2 (+ y z) t) (* y 5.0)))))
1.0s	(pow (sqrt (sqrt (fma x (fma 2 (+ y z) t) (* y 5.0)))) 3)

simplify1.3s

Counts

157 → 157

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	212	4902
1	538	3526
2	1762	3162
done	5000	3065

prune629.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes160.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	12	11
done	12	11

end0.0ms

sample1.6s

Algorithm

intervals

Results

868.0ms	10580×	body	80	valid
85.0ms	80×	body	1280	valid
23.0ms	100×	body	640	valid
12.0ms	71×	body	320	valid
3.0ms	25×	body	160	valid