Details

sample27.0ms

Algorithm

intervals

Results

13.0ms	298×	body	80	valid
0.0ms	1×	body	160	valid

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: 3 (23.0ms)

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	662	10
8	912	10
9	974	10
10	981	10
done	981	10

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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))

simplify985.0ms

Counts

13 → 13

Iterations

Useful iterations: 2 (10.0ms)

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

prune39.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x (- y 1.0) (fma 0.5 (- y) 0.918938533204673))
0.0b	(pow (fma x (- y 1.0) (fma 0.5 (- y) 0.918938533204673)) 3)
33.1b	(cbrt (pow (fma x (- y 1.0) (fma 0.5 (- y) 0.918938533204673)) 3))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`expm1-log1p-u` `pow-unpow` `log1p-expm1-u` `add-log-exp`
2×	`cube-mult` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `fma-udef` `rem-cube-cbrt`

Counts

3 → 58

Calls

3 calls:

0.0ms	(fma x (- y 1.0) (fma 0.5 (- y) 0.918938533204673))
1.0ms	(pow (fma x (- y 1.0) (fma 0.5 (- y) 0.918938533204673)) 3)
2.0ms	(cbrt (pow (fma x (- y 1.0) (fma 0.5 (- y) 0.918938533204673)) 3))

series102.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(fma x (- y 1.0) (fma 0.5 (- y) 0.918938533204673))
51.0ms	(pow (fma x (- y 1.0) (fma 0.5 (- y) 0.918938533204673)) 3)
25.0ms	(cbrt (pow (fma x (- y 1.0) (fma 0.5 (- y) 0.918938533204673)) 3))

simplify2.0s

Counts

67 → 67

Iterations

Useful iterations: 3 (444.0ms)

Iter	Nodes	Cost
0	89	1235
1	192	1045
2	570	922
3	3192	912
done	5000	912

prune158.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (fma x (- y 1.0) (fma 0.5 (- y) 0.918938533204673)) 2)
0.2b	(* (cbrt (pow (fma x (- y 1.0) (fma 0.5 (- y) 0.918938533204673)) 2)) (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)))
26.4b	(cbrt (pow (fma x (- y 1.0) (fma 0.5 (- y) 0.918938533204673)) 2))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
30×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
11×	`unpow-prod-down` `associate-l`
10×	`unswap-sqr`
7×	`pow1` `add-exp-log`
6×	`associate-r` `unpow2`
5×	`sqr-pow`
4×	`expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`pow-prod-down`
1×	`pow-to-exp` `pow-pow` `pow3` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 93

Calls

4 calls:

1.0ms	(pow (fma x (- y 1.0) (fma 0.5 (- y) 0.918938533204673)) 2)
9.0ms	(* (cbrt (pow (fma x (- y 1.0) (fma 0.5 (- y) 0.918938533204673)) 2)) (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 (pow (fma x (- y 1.0) (fma 0.5 (- y) 0.918938533204673)) 2))

series265.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(pow (fma x (- y 1.0) (fma 0.5 (- y) 0.918938533204673)) 2)
28.0ms	(* (cbrt (pow (fma x (- y 1.0) (fma 0.5 (- y) 0.918938533204673)) 2)) (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)))
111.0ms	(cbrt (pow (fma x (- y 1.0) (fma 0.5 (- y) 0.918938533204673)) 2))

simplify1.3s

Counts

105 → 105

Iterations

Useful iterations: 3 (542.0ms)

Iter	Nodes	Cost
0	192	2655
1	454	2447
2	1027	2271
3	2813	2234
done	5000	2234

prune471.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes34.0ms

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

sample363.0ms

Algorithm

intervals

Results

220.0ms	9120×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid