Details

sample435.0ms

Algorithm

intervals

Results

16.0ms

380×

body

valid

simplify2.6s

Counts

1 → 1

Iterations

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

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

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

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

31×	`pow1`
17×	`add-cbrt-cube` `add-exp-log`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `pow-plus` `pow-prod-up`
5×	`*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
4×	`associate-r` `associate-l`
2×	`pow2` `pow-sqr` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `pow3` `flip--` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

13.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
15.0ms	(* (* x x) x)
75.0ms	(* 0.12900613773279798 (* (* x x) x))

series279.0ms

Counts

3 → 9

Calls

3 calls:

151.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
60.0ms	(* (* x x) x)
68.0ms	(* 0.12900613773279798 (* (* x x) x))

simplify1.3s

Counts

70 → 70

Iterations

Iter	Nodes
done	5001
2	1511
1	244
0	80

prune216.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

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))

rewrite20.0ms

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:

6.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
13.0ms	(* 0.12900613773279798 (pow x 3))

series196.0ms

Counts

2 → 6

Calls

2 calls:

141.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
55.0ms	(* 0.12900613773279798 (pow x 3))

simplify836.0ms

Counts

49 → 49

Iterations

Iter	Nodes
done	5001
2	796
1	197
0	75

prune201.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize20.0ms

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)

rewrite68.0ms

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))
30.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
27.0ms	(* (* 0.12900613773279798 x) x)

series320.0ms

Counts

3 → 9

Calls

3 calls:

104.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
166.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
50.0ms	(* (* 0.12900613773279798 x) x)

simplify1.3s

Counts

63 → 63

Iterations

Iter	Nodes
done	5002
2	1432
1	229
0	84

prune292.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 0.12900613773279798 x) x)
0.2b	(* (* 0.12900613773279798 x) x)
0.2b	(* (* 0.12900613773279798 x) x)
4.4b	(/ (- (* 0.954929658551372 0.954929658551372) (* (* (* 0.12900613773279798 x) x) (* (* 0.12900613773279798 x) x))) (+ 0.954929658551372 (* (* 0.12900613773279798 x) x)))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-cbrt-cube` `add-exp-log`
19×	`pow1`
16×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`times-frac`
9×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`associate-/l*` `add-log-exp` `difference-of-squares`
3×	`associate-/r` `associate-l` `-commutative`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `div-sub` `div-exp` `flip-+` `div-inv` `flip--`

Counts

4 → 90

Calls

4 calls:

14.0ms	(* (* 0.12900613773279798 x) x)
21.0ms	(* (* 0.12900613773279798 x) x)
26.0ms	(* (* 0.12900613773279798 x) x)
47.0ms	(/ (- (* 0.954929658551372 0.954929658551372) (* (* (* 0.12900613773279798 x) x) (* (* 0.12900613773279798 x) x))) (+ 0.954929658551372 (* (* 0.12900613773279798 x) x)))

series344.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (* 0.12900613773279798 x) x)
35.0ms	(* (* 0.12900613773279798 x) x)
50.0ms	(* (* 0.12900613773279798 x) x)
228.0ms	(/ (- (* 0.954929658551372 0.954929658551372) (* (* (* 0.12900613773279798 x) x) (* (* 0.12900613773279798 x) x))) (+ 0.954929658551372 (* (* 0.12900613773279798 x) x)))

simplify1.7s

Counts

102 → 102

Iterations

Iter	Nodes
done	5000
2	2041
1	312
0	111

prune413.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes75.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample823.0ms

Algorithm

intervals

Results

644.0ms

12048×

body

valid