Details

sample192.0ms

Algorithm

intervals

Results

94.0ms

373×

body

valid

simplify2.5s

Counts

1 → 1

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	8	11
1	16	11
2	40	9
3	89	9
4	150	9
5	236	9
6	471	9
7	1245	9
done	5000	9

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 73

Calls

3 calls:

7.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
30.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
40.0ms	(* 0.12900613773279798 (* x x))

series285.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
166.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
47.0ms	(* 0.12900613773279798 (* x x))

simplify2.0s

Counts

82 → 82

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	109	964
1	309	944
2	2099	835
done	5004	810

prune231.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize15.0ms

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))

rewrite50.0ms

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:

18.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
29.0ms	(* 0.12900613773279798 (pow x 3))

series222.0ms

Counts

2 → 6

Calls

2 calls:

142.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
80.0ms	(* 0.12900613773279798 (pow x 3))

simplify819.0ms

Counts

55 → 55

Iterations

Useful iterations: done (816.0ms)

Iter	Nodes	Cost
0	84	541
1	217	488
2	909	455
done	5000	451

prune181.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
2×	`add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `associate-r` `associate-l` `prod-diff` `*-commutative` `flip--`

Counts

2 → 40

Calls

2 calls:

14.0ms	(- (* 0.954929658551372 x) (* (* 0.12900613773279798 x) (* x x)))
53.0ms	(* (* 0.12900613773279798 x) (* x x))

series228.0ms

Counts

2 → 6

Calls

2 calls:

166.0ms	(- (* 0.954929658551372 x) (* (* 0.12900613773279798 x) (* x x)))
61.0ms	(* (* 0.12900613773279798 x) (* x x))

simplify1.7s

Counts

46 → 46

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	72	599
1	200	457
2	971	392
done	5001	386

prune116.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 72

Calls

3 calls:

6.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
23.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
27.0ms	(* (* 0.12900613773279798 x) x)

series274.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
154.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
48.0ms	(* (* 0.12900613773279798 x) x)

simplify1.7s

Counts

81 → 81

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	108	959
1	281	925
2	1713	816
done	5001	804

prune182.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes23.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	10	9
done	10	9

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.1s

11924×

body

valid