Details

sample151.0ms

Algorithm

intervals

Results

30.0ms

360×

body

valid

simplify4.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
9	3405
8	868
7	333
6	188
5	126
4	102
3	78
2	37
1	15
0	8

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

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))))
19.0ms	(* 0.12900613773279798 (* x x))

series283.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
154.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
46.0ms	(* 0.12900613773279798 (* x x))

simplify3.6s

Counts

67 → 67

Iterations

Iter	Nodes
done	5006
3	4214
2	870
1	256
0	88

prune284.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 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)

rewrite58.0ms

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))
28.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
21.0ms	(* (* 0.12900613773279798 x) x)

series239.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
123.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
41.0ms	(* (* 0.12900613773279798 x) x)

simplify3.8s

Counts

66 → 66

Iterations

Iter	Nodes
done	5004
3	4554
2	777
1	231
0	87

prune251.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize15.0ms

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) (* (sqrt 0.12900613773279798) (* x x)))
0.2b	(* (sqrt 0.12900613773279798) (* x x))

rewrite127.0ms

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

Counts

4 → 87

Calls

4 calls:

8.0ms	(- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x))))
16.0ms	(* x (- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))))
76.0ms	(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))
25.0ms	(* (sqrt 0.12900613773279798) (* x x))

series565.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x))))
214.0ms	(* x (- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))))
133.0ms	(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))
55.0ms	(* (sqrt 0.12900613773279798) (* x x))

simplify1.4s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
2	1240
1	305
0	112

prune296.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt (cbrt 0.12900613773279798)) (* x x))
1.0b	(cbrt 0.12900613773279798)
1.0b	(cbrt 0.12900613773279798)
1.0b	(cbrt 0.12900613773279798)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

13×	`cbrt-prod` `add-sqr-sqrt`
10×	`*-un-lft-identity` `add-cube-cbrt`
9×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log`
8×	`sqrt-prod`
4×	`insert-posit16` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`associate-r` `*-commutative`

Counts

4 → 64

Calls

4 calls:

16.0ms	(* (sqrt (cbrt 0.12900613773279798)) (* x x))
1.0ms	(cbrt 0.12900613773279798)
1.0ms	(cbrt 0.12900613773279798)
1.0ms	(cbrt 0.12900613773279798)

series113.0ms

Counts

4 → 6

Calls

4 calls:

112.0ms	(* (sqrt (cbrt 0.12900613773279798)) (* x x))
0.0ms	(cbrt 0.12900613773279798)
0.0ms	(cbrt 0.12900613773279798)
0.0ms	(cbrt 0.12900613773279798)

simplify6.4s

Counts

70 → 70

Iterations

Iter	Nodes
done	5004
4	4837
3	1179
2	313
1	115
0	54

prune309.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes110.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	10
1	10
0	7

end0.0ms

sample1.3s

Algorithm

intervals

Results

1.1s

11908×

body

valid