Details

sample14.0ms

Algorithm

intervals

Results

8.0ms

382×

body

valid

simplify2.6s

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	182	9
6	343	9
7	923	9
8	3081	9
done	5000	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))

series272.0ms

Counts

2 → 6

Calls

2 calls:

95.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
177.0ms	(* 0.12900613773279798 (pow x 3))

simplify3.0s

Counts

55 → 55

Iterations

Useful iterations: 3 (688.0ms)

Iter	Nodes	Cost
0	84	541
1	199	488
2	717	453
3	4420	450
done	5000	450

prune102.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize10.0ms

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)

rewrite8.0ms

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)))
6.0ms	(* (pow x 3) 0.12900613773279798)

series135.0ms

Counts

2 → 6

Calls

2 calls:

95.0ms	(fma 0.954929658551372 x (- (* (pow x 3) 0.12900613773279798)))
39.0ms	(* (pow x 3) 0.12900613773279798)

simplify3.9s

Counts

49 → 49

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	67	419
1	134	391
2	529	361
3	4655	361
done	5000	361

prune115.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 0.954929658551372 x (- (* x (* (* x x) 0.12900613773279798))))
0.1b	(* x (* (* x x) 0.12900613773279798))
0.2b	(* (* x x) 0.12900613773279798)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt`
5×	`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` `unswap-sqr`

Counts

3 → 54

Calls

3 calls:

0.0ms	(fma 0.954929658551372 x (- (* x (* (* x x) 0.12900613773279798))))
19.0ms	(* x (* (* x x) 0.12900613773279798))
7.0ms	(* (* x x) 0.12900613773279798)

series162.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(fma 0.954929658551372 x (- (* x (* (* x x) 0.12900613773279798))))
37.0ms	(* x (* (* x x) 0.12900613773279798))
28.0ms	(* (* x x) 0.12900613773279798)

simplify2.6s

Counts

63 → 63

Iterations

Useful iterations: 2 (88.0ms)

Iter	Nodes	Cost
0	77	610
1	182	509
2	716	429
3	3854	429
done	5000	429

prune141.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (* (* x (sqrt 0.12900613773279798)) (* x (sqrt 0.12900613773279798))))
0.3b	(* x (sqrt 0.12900613773279798))
0.3b	(* x (sqrt 0.12900613773279798))
0.3b	(* (* x (sqrt 0.12900613773279798)) (* x (sqrt 0.12900613773279798)))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

65×	`pow1`
38×	`add-exp-log` `add-cbrt-cube`
32×	`pow-prod-down`
23×	`prod-exp` `cbrt-unprod`
20×	`add-sqr-sqrt`
14×	`associate-r`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`associate-l`
8×	`sqrt-prod`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `pow-sqr` `*-commutative` `pow-prod-up` `log1p-expm1-u` `add-log-exp`
2×	`pow-plus`
1×	`pow2` `swap-sqr`

Counts

4 → 114

Calls

4 calls:

44.0ms	(* x (* (* x (sqrt 0.12900613773279798)) (* x (sqrt 0.12900613773279798))))
4.0ms	(* x (sqrt 0.12900613773279798))
4.0ms	(* x (sqrt 0.12900613773279798))
14.0ms	(* (* x (sqrt 0.12900613773279798)) (* x (sqrt 0.12900613773279798)))

series240.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(* x (* (* x (sqrt 0.12900613773279798)) (* x (sqrt 0.12900613773279798))))
42.0ms	(* x (sqrt 0.12900613773279798))
39.0ms	(* x (sqrt 0.12900613773279798))
71.0ms	(* (* x (sqrt 0.12900613773279798)) (* x (sqrt 0.12900613773279798)))

simplify1.0s

Counts

126 → 126

Iterations

Useful iterations: 2 (97.0ms)

Iter	Nodes	Cost
0	91	1257
1	218	864
2	864	664
done	5001	664

prune220.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes25.0ms

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	12	17
1	20	17
2	22	17
done	22	17

end0.0ms

sample366.0ms

Algorithm

intervals

Results

249.0ms

12023×

body

valid