Details

sample57.0ms

Algorithm

intervals

Results

24.0ms	330×	body	80	valid
1.0ms	4×	body	1280	valid
1.0ms	4×	body	640	valid
0.0ms	2×	body	320	valid

simplify3.8s

Counts

1 → 1

Iterations

Useful iterations: 4 (331.0ms)

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

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`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

2 → 20

Calls

2 calls:

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

series110.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(fma 2 (+ y z) t)
70.0ms	(fma x (fma 2 (+ y z) t) (* y 5.0))

simplify3.4s

Counts

26 → 26

Iterations

Useful iterations: 3 (196.0ms)

Iter	Nodes	Cost
0	44	313
1	79	298
2	197	258
3	800	251
4	4529	251
done	5000	251

prune124.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma 2 (+ y z) t)) (cbrt (fma 2 (+ y z) t)))
0.6b	(cbrt (fma 2 (+ y z) t))
0.6b	(cbrt (fma 2 (+ y z) t))
0.6b	(cbrt (fma 2 (+ y z) t))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

11.0ms	(* (cbrt (fma 2 (+ y z) t)) (cbrt (fma 2 (+ y z) t)))
1.0ms	(cbrt (fma 2 (+ y z) t))
1.0ms	(cbrt (fma 2 (+ y z) t))
1.0ms	(cbrt (fma 2 (+ y z) t))

series1.1s

Counts

4 → 12

Calls

4 calls:

318.0ms	(* (cbrt (fma 2 (+ y z) t)) (cbrt (fma 2 (+ y z) t)))
264.0ms	(cbrt (fma 2 (+ y z) t))
261.0ms	(cbrt (fma 2 (+ y z) t))
279.0ms	(cbrt (fma 2 (+ y z) t))

simplify3.5s

Counts

93 → 93

Iterations

Useful iterations: done (3.5s)

Iter	Nodes	Cost
0	97	1426
1	193	1313
2	476	1200
3	1173	1032
4	3408	998
done	5001	946

prune523.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

64.0ms	(* (* (+ y z) 2) x)
0.0ms	(fma 5.0 y (* (* (+ y z) 2) x))

series123.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(* (* (+ y z) 2) x)
83.0ms	(fma 5.0 y (* (* (+ y z) 2) x))

simplify2.8s

Counts

38 → 38

Iterations

Useful iterations: 2 (147.0ms)

Iter	Nodes	Cost
0	73	429
1	185	406
2	644	339
3	2929	339
done	5002	339

prune129.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fma 2 (+ y z) t))
0.0b	(sqrt (fma 2 (+ y z) t))
0.0b	(fma x (* (sqrt (fma 2 (+ y z) t)) (sqrt (fma 2 (+ y z) t))) (* y 5.0))
0.3b	(* (sqrt (fma 2 (+ y z) t)) (sqrt (fma 2 (+ y z) t)))

rewrite20.0ms

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	(sqrt (fma 2 (+ y z) t))
1.0ms	(sqrt (fma 2 (+ y z) t))
0.0ms	(fma x (* (sqrt (fma 2 (+ y z) t)) (sqrt (fma 2 (+ y z) t))) (* y 5.0))
14.0ms	(* (sqrt (fma 2 (+ y z) t)) (sqrt (fma 2 (+ y z) t)))

series283.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(sqrt (fma 2 (+ y z) t))
90.0ms	(sqrt (fma 2 (+ y z) t))
77.0ms	(fma x (* (sqrt (fma 2 (+ y z) t)) (sqrt (fma 2 (+ y z) t))) (* y 5.0))
26.0ms	(* (sqrt (fma 2 (+ y z) t)) (sqrt (fma 2 (+ y z) t)))

simplify2.1s

Counts

103 → 103

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	104	1682
1	203	1073
2	544	967
3	2175	915
done	5000	894

prune339.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes174.0ms

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

852.0ms	10642×	body	80	valid
101.0ms	100×	body	1280	valid
21.0ms	99×	body	640	valid
11.0ms	69×	body	320	valid
4.0ms	30×	body	160	valid