Details

sample132.0ms

Algorithm

intervals

Results

45.0ms

396×

body

valid

simplify1.5s

Counts

1 → 1

Iterations

Iter	Nodes
8	2218
7	715
6	284
5	149
4	102
3	78
2	37
1	15
0	8

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

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))

rewrite53.0ms

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:

11.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
12.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
28.0ms	(* 0.12900613773279798 (* x x))

series313.0ms

Counts

3 → 9

Calls

3 calls:

96.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
157.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
61.0ms	(* 0.12900613773279798 (* x x))

simplify1.2s

Counts

67 → 67

Iterations

Iter	Nodes
3	3093
2	666
1	222
0	88

prune392.0ms

Pruning

5 alts after pruning (5 fresh and 0 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)))
0.1b	(* (* 0.12900613773279798 x) x)

rewrite34.0ms

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:

4.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
15.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
14.0ms	(* (* 0.12900613773279798 x) x)

series294.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
178.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
29.0ms	(* (* 0.12900613773279798 x) x)

simplify911.0ms

Counts

66 → 66

Iterations

Iter	Nodes
3	2693
2	663
1	207
0	87

prune459.0ms

Pruning

5 alts after pruning (4 fresh and 1 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)
0.1b	(* 0.12900613773279798 (* (* x x) x))

rewrite64.0ms

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)))
15.0ms	(* (* x x) x)
40.0ms	(* 0.12900613773279798 (* (* x x) x))

series241.0ms

Counts

3 → 9

Calls

3 calls:

155.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
38.0ms	(* (* x x) x)
49.0ms	(* 0.12900613773279798 (* (* x x) x))

simplify1.1s

Counts

73 → 73

Iterations

Iter	Nodes
3	2679
2	684
1	232
0	83

prune497.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite269.0ms

Algorithm

rewrite-expression-head

Rules

46×	`pow1`
32×	`add-cbrt-cube` `add-exp-log`
19×	`pow-prod-down` `prod-exp` `cbrt-unprod`
13×	`associate-l`
10×	`add-sqr-sqrt`
9×	`*-un-lft-identity` `add-cube-cbrt`
6×	`pow-plus` `pow-prod-up` `sqrt-prod` `add-log-exp`
5×	`associate-r`
4×	`insert-posit16`
3×	`*-commutative`
2×	`pow2` `pow-sqr`
1×	`sub-neg` `flip3--` `diff-log` `pow3` `flip--` `unswap-sqr`

Counts

4 → 95

Calls

4 calls:

11.0ms	(- (* 0.954929658551372 x) (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* (* x x) x))))
15.0ms	(* (* x x) x)
53.0ms	(* (sqrt 0.12900613773279798) (* (* x x) x))
189.0ms	(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* (* x x) x)))

series519.0ms

Counts

4 → 12

Calls

4 calls:

219.0ms	(- (* 0.954929658551372 x) (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* (* x x) x))))
41.0ms	(* (* x x) x)
98.0ms	(* (sqrt 0.12900613773279798) (* (* x x) x))
161.0ms	(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* (* x x) x)))

simplify1.8s

Counts

107 → 107

Iterations

Iter	Nodes
3	4168
2	830
1	275
0	108

prune990.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes81.0ms

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
2	11
1	11
0	8

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.0s

12075×

body

valid