Details

sample23.0ms

Algorithm

intervals

Results

9.0ms

291×

body

valid

simplify2.3s

Counts

1 → 1

Iterations

Useful iterations: 3 (25.0ms)

Iter	Nodes	Cost
0	10	11
1	20	11
2	48	11
3	103	10
4	194	10
5	318	10
6	480	10
7	664	10
8	959	10
9	1042	10
10	1073	10
done	1073	10

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma (- y 1.0) x (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:

1.0ms

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

series46.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

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

simplify1.6s

Counts

13 → 13

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	25	168
1	45	165
2	92	143
3	292	143
4	1782	143
done	5002	143

prune44.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

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 (- y 1.0) x (fma 0.5 (- y) 0.918938533204673))
2.0ms	(sqrt (fma (- y 1.0) x (fma 0.5 (- y) 0.918938533204673)))
4.0ms	(sqrt (fma (- y 1.0) x (fma 0.5 (- y) 0.918938533204673)))
13.0ms	(* (sqrt (fma (- y 1.0) x (fma 0.5 (- y) 0.918938533204673))) (sqrt (fma (- y 1.0) x (fma 0.5 (- y) 0.918938533204673))))

series302.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(fma (- y 1.0) x (fma 0.5 (- y) 0.918938533204673))
102.0ms	(sqrt (fma (- y 1.0) x (fma 0.5 (- y) 0.918938533204673)))
104.0ms	(sqrt (fma (- y 1.0) x (fma 0.5 (- y) 0.918938533204673)))
47.0ms	(* (sqrt (fma (- y 1.0) x (fma 0.5 (- y) 0.918938533204673))) (sqrt (fma (- y 1.0) x (fma 0.5 (- y) 0.918938533204673))))

simplify1.2s

Counts

103 → 103

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	93	2128
1	169	1467
2	388	1321
3	1175	1256
done	5000	1214

prune304.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

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:

22.0ms	(* (cbrt (fma (- y 1.0) x (fma 0.5 (- y) 0.918938533204673))) (cbrt (fma (- y 1.0) x (fma 0.5 (- y) 0.918938533204673))))
2.0ms	(cbrt (fma (- y 1.0) x (fma 0.5 (- y) 0.918938533204673)))
2.0ms	(cbrt (fma (- y 1.0) x (fma 0.5 (- y) 0.918938533204673)))
2.0ms	(cbrt (fma (- y 1.0) x (fma 0.5 (- y) 0.918938533204673)))

series609.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(* (cbrt (fma (- y 1.0) x (fma 0.5 (- y) 0.918938533204673))) (cbrt (fma (- y 1.0) x (fma 0.5 (- y) 0.918938533204673))))
120.0ms	(cbrt (fma (- y 1.0) x (fma 0.5 (- y) 0.918938533204673)))
136.0ms	(cbrt (fma (- y 1.0) x (fma 0.5 (- y) 0.918938533204673)))
154.0ms	(cbrt (fma (- y 1.0) x (fma 0.5 (- y) 0.918938533204673)))

simplify1.4s

Counts

93 → 93

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	128	2306
1	298	2121
2	719	1941
3	1923	1688
done	5000	1561

prune493.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes56.0ms

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

sample570.0ms

Algorithm

intervals

Results

289.0ms	9139×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid