Details

sample16.0ms

Algorithm

intervals

Results

9.0ms

389×

body

valid

simplify3.1s

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	8	11
1	16	11
2	39	9
3	84	9
4	126	9
5	172	9
6	296	9
7	706	9
8	2230	9
done	5001	9

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
0.1b	(* 0.12900613773279798 (pow x 3))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-r`
7×	`add-exp-log`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `cube-prod` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `sub-neg` `flip3--` `fma-neg` `diff-log` `unpow3` `prod-diff` `pow-exp` `*-commutative` `flip--` `cbrt-unprod`

Counts

2 → 49

Calls

2 calls:

3.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
7.0ms	(* 0.12900613773279798 (pow x 3))

series140.0ms

Counts

2 → 6

Calls

2 calls:

99.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
41.0ms	(* 0.12900613773279798 (pow x 3))

simplify1.6s

Counts

55 → 55

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	84	541
1	199	488
2	623	453
3	3213	451
done	5001	450

prune107.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 0.954929658551372 x (- (* (pow x 3) 0.12900613773279798)))
0.1b	(* (pow x 3) 0.12900613773279798)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-l`
7×	`add-exp-log`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `cube-prod` `add-cbrt-cube` `unswap-sqr`
3×	`associate-r` `prod-exp`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

2 → 43

Calls

2 calls:

0.0ms	(fma 0.954929658551372 x (- (* (pow x 3) 0.12900613773279798)))
7.0ms	(* (pow x 3) 0.12900613773279798)

series136.0ms

Counts

2 → 6

Calls

2 calls:

99.0ms	(fma 0.954929658551372 x (- (* (pow x 3) 0.12900613773279798)))
37.0ms	(* (pow x 3) 0.12900613773279798)

simplify2.1s

Counts

49 → 49

Iterations

Useful iterations: 3 (860.0ms)

Iter	Nodes	Cost
0	67	419
1	134	391
2	450	365
3	2384	361
done	5000	361

prune107.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 0.954929658551372 x (- (* (* x x) (* 0.12900613773279798 x))))
0.2b	(* (* x x) (* 0.12900613773279798 x))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `log1p-expm1-u` `add-log-exp`
1×	`associate-r` `associate-l` `*-commutative` `fma-udef`

Counts

2 → 34

Calls

2 calls:

0.0ms	(fma 0.954929658551372 x (- (* (* x x) (* 0.12900613773279798 x))))
11.0ms	(* (* x x) (* 0.12900613773279798 x))

series134.0ms

Counts

2 → 6

Calls

2 calls:

98.0ms	(fma 0.954929658551372 x (- (* (* x x) (* 0.12900613773279798 x))))
36.0ms	(* (* x x) (* 0.12900613773279798 x))

simplify2.4s

Counts

40 → 40

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	56	455
1	139	425
2	450	291
3	1534	291
done	5000	291

prune74.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 0.954929658551372 x (- (* (* x (* 0.12900613773279798 x)) x)))
0.2b	(* (* x (* 0.12900613773279798 x)) x)
0.2b	(* x (* 0.12900613773279798 x))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 53

Calls

3 calls:

0.0ms	(fma 0.954929658551372 x (- (* (* x (* 0.12900613773279798 x)) x)))
20.0ms	(* (* x (* 0.12900613773279798 x)) x)
6.0ms	(* x (* 0.12900613773279798 x))

series155.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(fma 0.954929658551372 x (- (* (* x (* 0.12900613773279798 x)) x)))
38.0ms	(* (* x (* 0.12900613773279798 x)) x)
25.0ms	(* x (* 0.12900613773279798 x))

simplify2.5s

Counts

62 → 62

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	75	602
1	171	573
2	657	431
3	3206	425
done	5000	425

prune133.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes20.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	17
1	18	17
2	20	17
done	20	17

end0.0ms

sample391.0ms

Algorithm

intervals

Results

269.0ms

12013×

body

valid