Details

sample118.0ms

Algorithm

intervals

Results

22.0ms

375×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

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

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

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))

rewrite77.0ms

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))))
37.0ms	(* 0.12900613773279798 (* x x))

series266.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
156.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
42.0ms	(* 0.12900613773279798 (* x x))

simplify1.4s

Counts

64 → 64

Iterations

Iter	Nodes
done	5000
2	1549
1	254
0	85

prune237.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

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)

rewrite66.0ms

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))
28.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
28.0ms	(* (* 0.12900613773279798 x) x)

series290.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
167.0ms	(* 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

prune250.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 57

Calls

3 calls:

8.0ms	(- (* 0.954929658551372 x) (* (* x (* x x)) 0.12900613773279798))
50.0ms	(* (* x (* x x)) 0.12900613773279798)
16.0ms	(* x (* x x))

series225.0ms

Counts

3 → 9

Calls

3 calls:

118.0ms	(- (* 0.954929658551372 x) (* (* x (* x x)) 0.12900613773279798))
62.0ms	(* (* x (* x x)) 0.12900613773279798)
46.0ms	(* x (* x x))

simplify1.5s

Counts

66 → 66

Iterations

Iter	Nodes
done	5000
2	1414
1	222
0	84

prune210.0ms

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-l`
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-r` `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) (* (pow x 3) 0.12900613773279798))
10.0ms	(* (pow x 3) 0.12900613773279798)

series182.0ms

Counts

2 → 6

Calls

2 calls:

138.0ms	(- (* 0.954929658551372 x) (* (pow x 3) 0.12900613773279798))
43.0ms	(* (pow x 3) 0.12900613773279798)

simplify858.0ms

Counts

49 → 49

Iterations

Iter	Nodes
done	5000
2	754
1	182
0	74

prune176.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes34.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	10
1	10
0	8

end0.0ms

sample909.0ms

Algorithm

intervals

Results

650.0ms

12085×

body

valid