Details

sample139.0ms

Algorithm

intervals

Results

23.0ms

379×

body

valid

simplify6.1s

Counts

1 → 1

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	8	11
1	16	11
2	40	9
3	89	9
4	126	9
5	173	9
6	315	9
7	783	9
8	2564	9
done	5001	9

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
0.1b	(* 0.12900613773279798 (* x x))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l` `prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `sub-neg` `associate-r/` `-commutative` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
1×	`flip3--` `flip--`

Counts

2 → 53

Calls

2 calls:

33.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
27.0ms	(* 0.12900613773279798 (* x x))

series208.0ms

Counts

2 → 6

Calls

2 calls:

148.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
60.0ms	(* 0.12900613773279798 (* x x))

simplify2.4s

Counts

59 → 59

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	99	685
1	215	657
2	605	571
3	2397	551
done	5000	515

prune158.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-r`
7×	`add-exp-log`
6×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`unpow-prod-down` `cube-prod` `add-cbrt-cube` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `expm1-log1p-u` `sum-log` `log1p-expm1-u` `sqr-pow`
1×	`+-commutative` `neg-sub0` `cube-mult` `pow-to-exp` `associate-+r-` `fma-def` `flip3-+` `unpow3` `unsub-neg` `neg-log` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 51

Calls

2 calls:

13.0ms	(+ (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3))))
14.0ms	(* 0.12900613773279798 (pow x 3))

series189.0ms

Counts

2 → 6

Calls

2 calls:

115.0ms	(+ (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3))))
74.0ms	(* 0.12900613773279798 (pow x 3))

simplify5.0s

Counts

57 → 57

Iterations

Useful iterations: 3 (1.8s)

Iter	Nodes	Cost
0	87	541
1	223	475
2	811	433
3	4707	429
done	5000	429

prune545.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x 0.954929658551372) (- (* (* 0.12900613773279798 (* x x)) x)))
0.1b	(* (* 0.12900613773279798 (* x x)) x)
0.1b	(* 0.12900613773279798 (* x x))

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-log-exp`
6×	`add-sqr-sqrt`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`associate-r` `associate-l`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`sum-log` `*-commutative`
1×	`+-commutative` `neg-sub0` `associate-+r-` `fma-def` `flip3-+` `unsub-neg` `neg-log` `flip-+` `unswap-sqr`

Counts

3 → 62

Calls

3 calls:

19.0ms	(+ (* x 0.954929658551372) (- (* (* 0.12900613773279798 (* x x)) x)))
102.0ms	(* (* 0.12900613773279798 (* x x)) x)
35.0ms	(* 0.12900613773279798 (* x x))

series250.0ms

Counts

3 → 9

Calls

3 calls:

144.0ms	(+ (* x 0.954929658551372) (- (* (* 0.12900613773279798 (* x x)) x)))
55.0ms	(* (* 0.12900613773279798 (* x x)) x)
51.0ms	(* 0.12900613773279798 (* x x))

simplify2.5s

Counts

71 → 71

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	94	744
1	250	598
2	1052	509
done	5000	506

prune226.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-log-exp`
2×	`add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `sum-log` `log1p-expm1-u`
1×	`+-commutative` `neg-sub0` `associate-+r-` `fma-def` `flip3-+` `associate-r` `associate-l` `unsub-neg` `neg-log` `*-commutative` `flip-+`

Counts

2 → 42

Calls

2 calls:

20.0ms	(+ (* x 0.954929658551372) (- (* (* 0.12900613773279798 x) (* x x))))
56.0ms	(* (* 0.12900613773279798 x) (* x x))

series164.0ms

Counts

2 → 6

Calls

2 calls:

106.0ms	(+ (* x 0.954929658551372) (- (* (* 0.12900613773279798 x) (* x x))))
58.0ms	(* (* 0.12900613773279798 x) (* x x))

simplify2.5s

Counts

48 → 48

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	75	589
1	212	448
2	912	369
done	5001	364

prune147.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes45.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	10
1	16	10
2	18	10
done	18	10

end0.0ms

sample852.0ms

Algorithm

intervals

Results

655.0ms

11981×

body

valid