Details

sample24.0ms

Algorithm

intervals

Results

10.0ms	348×	body	80	valid
1.0ms	4×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	320	valid

simplify773.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (23.0ms)

Iter	Nodes	Cost
0	12	15
1	31	14
2	86	12
3	236	11
4	567	11
5	1004	11
6	1171	11
7	1185	11
done	1185	11

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

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:

0.0ms

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

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

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

simplify497.0ms

Counts

13 → 13

Iterations

Useful iterations: 3 (37.0ms)

Iter	Nodes	Cost
0	30	197
1	56	191
2	132	163
3	347	156
4	1169	156
done	5000	156

prune46.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

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:

19.0ms	(* (* 2 (+ y z)) x)
0.0ms	(fma 5.0 y (* (* 2 (+ y z)) x))

series72.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(* (* 2 (+ y z)) x)
39.0ms	(fma 5.0 y (* (* 2 (+ y z)) x))

simplify2.1s

Counts

38 → 38

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	73	431
1	202	410
2	781	341
3	3800	341
done	5001	341

prune79.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

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))))

rewrite11.0ms

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:

0.0ms	(fma x (fma 2 (+ y z) t) (* y 5.0))
1.0ms	(sqrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
1.0ms	(sqrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
7.0ms	(* (sqrt (fma x (fma 2 (+ y z) t) (* y 5.0))) (sqrt (fma x (fma 2 (+ y z) t) (* y 5.0))))

series1.0s

Counts

4 → 12

Calls

4 calls:

50.0ms	(fma x (fma 2 (+ y z) t) (* y 5.0))
468.0ms	(sqrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
462.0ms	(sqrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
53.0ms	(* (sqrt (fma x (fma 2 (+ y z) t) (* y 5.0))) (sqrt (fma x (fma 2 (+ y z) t) (* y 5.0))))

simplify3.0s

Counts

103 → 103

Iterations

Useful iterations: 3 (485.0ms)

Iter	Nodes	Cost
0	108	2405
1	236	1693
2	820	1511
3	4095	1402
done	5000	1402

prune232.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0))) (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0))))
0.5b	(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
0.5b	(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
0.5b	(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))

rewrite10.0ms

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:

6.0ms	(* (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0))) (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0))))
0.0ms	(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
0.0ms	(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
1.0ms	(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))

series1.2s

Counts

4 → 12

Calls

4 calls:

392.0ms	(* (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0))) (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0))))
275.0ms	(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
271.0ms	(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
276.0ms	(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))

simplify1.9s

Counts

93 → 93

Iterations

Useful iterations: 3 (433.0ms)

Iter	Nodes	Cost
0	147	2618
1	326	2445
2	1011	2252
3	4028	1792
done	5001	1792

prune374.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes114.0ms

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

sample627.0ms

Algorithm

intervals

Results

327.0ms	10696×	body	80	valid
12.0ms	88×	body	1280	valid
12.0ms	86×	body	640	valid
5.0ms	58×	body	320	valid
2.0ms	32×	body	160	valid