Details

sample99.0ms

Algorithm

intervals

Results

12.0ms

383×

body

valid

simplify1.8s

Counts

1 → 1

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	8	11
1	15	11
2	38	9
3	82	9
4	147	9
5	250	9
6	490	9
7	1253	9
done	5000	9

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

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))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 55

Calls

3 calls:

9.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
27.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
29.0ms	(* 0.12900613773279798 (* x x))

series330.0ms

Counts

3 → 9

Calls

3 calls:

111.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
156.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
63.0ms	(* 0.12900613773279798 (* x x))

simplify960.0ms

Counts

64 → 64

Iterations

Useful iterations: 2 (304.0ms)

Iter	Nodes	Cost
0	85	673
1	254	654
2	1549	566
done	5000	566

prune212.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize10.0ms

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)

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 54

Calls

3 calls:

8.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
27.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
27.0ms	(* (* 0.12900613773279798 x) x)

series273.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
137.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
49.0ms	(* (* 0.12900613773279798 x) x)

simplify883.0ms

Counts

63 → 63

Iterations

Useful iterations: 2 (270.0ms)

Iter	Nodes	Cost
0	84	668
1	229	635
2	1432	575
done	5002	575

prune199.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x))))
0.1b	(* x (- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))))
0.2b	(* (sqrt 0.12900613773279798) (* x x))
0.3b	(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

5.0ms	(- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x))))
13.0ms	(* x (- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))))
18.0ms	(* (sqrt 0.12900613773279798) (* x x))
41.0ms	(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))

series507.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x))))
246.0ms	(* x (- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))))
48.0ms	(* (sqrt 0.12900613773279798) (* x x))
83.0ms	(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))

simplify1.2s

Counts

95 → 95

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	108	1287
1	302	909
2	1954	813
done	5002	793

prune374.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
0.3b	(* 0.12900613773279798 (pow x 3))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 43

Calls

2 calls:

12.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
15.0ms	(* 0.12900613773279798 (pow x 3))

series204.0ms

Counts

2 → 6

Calls

2 calls:

138.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
66.0ms	(* 0.12900613773279798 (pow x 3))

simplify669.0ms

Counts

49 → 49

Iterations

Useful iterations: done (666.0ms)

Iter	Nodes	Cost
0	75	483
1	197	433
2	796	401
done	5001	399

prune157.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes52.0ms

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	7	9
1	10	9
done	10	9

end0.0ms

sample894.0ms

Algorithm

intervals

Results

644.0ms

11958×

body

valid