Details

sample250.0ms

Algorithm

intervals

Results

79.0ms

412×

body

valid

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	2024
9	2024
8	868
7	333
6	188
5	126
4	102
3	78
2	37
1	15
0	8

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

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))

rewrite39.0ms

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` `insert-posit16`
2×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `associate-r/` `-commutative` `flip--` `unswap-sqr`
1×	`diff-log`

Counts

3 → 58

Calls

3 calls:

5.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
12.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
20.0ms	(* 0.12900613773279798 (* x x))

series305.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
145.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
64.0ms	(* 0.12900613773279798 (* x x))

simplify1.2s

Counts

67 → 67

Iterations

Iter	Nodes
done	2001
3	2001
2	870
1	256
0	88

prune162.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

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)

rewrite38.0ms

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` `insert-posit16`
2×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `associate-r/` `-commutative` `flip--`
1×	`diff-log` `unswap-sqr`

Counts

3 → 57

Calls

3 calls:

8.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
16.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
13.0ms	(* (* 0.12900613773279798 x) x)

series333.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
188.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
54.0ms	(* (* 0.12900613773279798 x) x)

simplify1.2s

Counts

66 → 66

Iterations

Iter	Nodes
done	2013
3	2013
2	777
1	231
0	87

prune187.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

49×	`pow1`
23×	`add-sqr-sqrt`
22×	`add-cbrt-cube` `add-exp-log`
20×	`pow-prod-down`
16×	`associate-l`
12×	`*-un-lft-identity` `add-cube-cbrt`
11×	`associate-r` `prod-exp` `cbrt-unprod`
8×	`sqrt-prod`
5×	`unswap-sqr`
4×	`pow-sqr` `*-commutative` `pow-prod-up` `insert-posit16` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `pow-plus` `associate-*r/`
1×	`pow2` `flip3--` `swap-sqr` `flip--` `difference-of-squares`

Counts

4 → 107

Calls

4 calls:

24.0ms	(* x (- 0.954929658551372 (* (* (sqrt 0.12900613773279798) x) (* (sqrt 0.12900613773279798) x))))
14.0ms	(* (sqrt 0.12900613773279798) x)
13.0ms	(* (sqrt 0.12900613773279798) x)
40.0ms	(* (* (sqrt 0.12900613773279798) x) (* (sqrt 0.12900613773279798) x))

series430.0ms

Counts

4 → 12

Calls

4 calls:

215.0ms	(* x (- 0.954929658551372 (* (* (sqrt 0.12900613773279798) x) (* (sqrt 0.12900613773279798) x))))
45.0ms	(* (sqrt 0.12900613773279798) x)
65.0ms	(* (sqrt 0.12900613773279798) x)
106.0ms	(* (* (sqrt 0.12900613773279798) x) (* (sqrt 0.12900613773279798) x))

simplify1.2s

Counts

119 → 119

Iterations

Iter	Nodes
done	2001
3	2001
2	915
1	258
0	104

prune359.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite76.0ms

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`
3×	`insert-posit16`
2×	`pow2` `pow-sqr` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `pow3` `flip--` `unswap-sqr`

Counts

3 → 64

Calls

3 calls:

8.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
22.0ms	(* (* x x) x)
45.0ms	(* 0.12900613773279798 (* (* x x) x))

series245.0ms

Counts

3 → 9

Calls

3 calls:

138.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
45.0ms	(* (* x x) x)
62.0ms	(* 0.12900613773279798 (* (* x x) x))

simplify1.6s

Counts

73 → 73

Iterations

Iter	Nodes
done	2005
3	2005
2	797
1	236
0	83

prune197.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes36.0ms

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	9
1	9
0	7

end0.0ms

sample1.3s

Algorithm

intervals

Results

1.1s

11981×

body

valid