Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

290×

body

valid

simplify1.3s

Counts

1 → 1

Iterations

Useful iterations: 3 (11.0ms)

Iter	Nodes	Cost
0	10	11
1	20	11
2	48	11
3	88	10
4	171	10
5	284	10
6	429	10
7	654	10
8	893	10
9	955	10
10	962	10
done	962	10

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma x (- y 1.0) (fma 0.5 (- y) 0.918938533204673))

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 (- y 1.0) (fma 0.5 (- y) 0.918938533204673))

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

(fma x (- y 1.0) (fma 0.5 (- y) 0.918938533204673))

simplify977.0ms

Counts

13 → 13

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	25	168
1	45	165
2	93	143
3	278	143
4	1463	143
done	5000	143

prune39.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (fma x (- y 1.0) (fma 0.5 (- y) 0.918938533204673))) (cbrt (fma x (- y 1.0) (fma 0.5 (- y) 0.918938533204673))))
0.4b	(cbrt (fma x (- y 1.0) (fma 0.5 (- y) 0.918938533204673)))
0.4b	(cbrt (fma x (- y 1.0) (fma 0.5 (- y) 0.918938533204673)))
0.4b	(cbrt (fma x (- y 1.0) (fma 0.5 (- y) 0.918938533204673)))

rewrite9.0ms

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 (- y 1.0) (fma 0.5 (- y) 0.918938533204673))) (cbrt (fma x (- y 1.0) (fma 0.5 (- y) 0.918938533204673))))
0.0ms	(cbrt (fma x (- y 1.0) (fma 0.5 (- y) 0.918938533204673)))
0.0ms	(cbrt (fma x (- y 1.0) (fma 0.5 (- y) 0.918938533204673)))
1.0ms	(cbrt (fma x (- y 1.0) (fma 0.5 (- y) 0.918938533204673)))

series371.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(* (cbrt (fma x (- y 1.0) (fma 0.5 (- y) 0.918938533204673))) (cbrt (fma x (- y 1.0) (fma 0.5 (- y) 0.918938533204673))))
86.0ms	(cbrt (fma x (- y 1.0) (fma 0.5 (- y) 0.918938533204673)))
87.0ms	(cbrt (fma x (- y 1.0) (fma 0.5 (- y) 0.918938533204673)))
86.0ms	(cbrt (fma x (- y 1.0) (fma 0.5 (- y) 0.918938533204673)))

simplify791.0ms

Counts

93 → 93

Iterations

Useful iterations: done (788.0ms)

Iter	Nodes	Cost
0	127	2306
1	297	2121
2	699	1941
3	1910	1688
done	5000	1602

prune276.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fma x (- y 1.0) (fma 0.5 (- y) 0.918938533204673)))
0.0b	(fma x (- y 1.0) (fma 0.5 (- y) 0.918938533204673))
0.0b	(fma x (- y 1.0) (fma 0.5 (- y) 0.918938533204673))
0.4b	(* (sqrt (fma x (- y 1.0) (fma 0.5 (- y) 0.918938533204673))) (sqrt (fma x (- y 1.0) (fma 0.5 (- y) 0.918938533204673))))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`pow1`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`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×	`fma-udef`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 86

Calls

4 calls:

1.0ms	(sqrt (fma x (- y 1.0) (fma 0.5 (- y) 0.918938533204673)))
0.0ms	(fma x (- y 1.0) (fma 0.5 (- y) 0.918938533204673))
0.0ms	(fma x (- y 1.0) (fma 0.5 (- y) 0.918938533204673))
7.0ms	(* (sqrt (fma x (- y 1.0) (fma 0.5 (- y) 0.918938533204673))) (sqrt (fma x (- y 1.0) (fma 0.5 (- y) 0.918938533204673))))

series146.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(sqrt (fma x (- y 1.0) (fma 0.5 (- y) 0.918938533204673)))
24.0ms	(fma x (- y 1.0) (fma 0.5 (- y) 0.918938533204673))
28.0ms	(fma x (- y 1.0) (fma 0.5 (- y) 0.918938533204673))
25.0ms	(* (sqrt (fma x (- y 1.0) (fma 0.5 (- y) 0.918938533204673))) (sqrt (fma x (- y 1.0) (fma 0.5 (- y) 0.918938533204673))))

simplify1.1s

Counts

98 → 98

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	93	2032
1	170	1401
2	395	1242
3	1190	1181
done	5000	1132

prune216.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes35.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	10
done	9	10

end0.0ms

sample354.0ms

Algorithm

intervals

Results

209.0ms	9179×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid