Details

sample78.0ms

Algorithm

intervals

Results

28.0ms

412×

body

valid

simplify1.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	2028
9	2028
8	1317
7	597
6	205
5	147
4	122
3	86
2	39
1	16
0	8

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

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)

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
9×	`prod-diff`
6×	`associate-r`
5×	`distribute-rgt-in` `distribute-lft-in` `add-log-exp`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `sub-neg` `fma-neg` `insert-posit16` `log1p-expm1-u`
2×	`flip3--` `associate-r/` `-commutative` `flip--`
1×	`diff-log` `unswap-sqr`

Counts

3 → 75

Calls

3 calls:

9.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
27.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
33.0ms	(* (* 0.12900613773279798 x) x)

series302.0ms

Counts

3 → 9

Calls

3 calls:

101.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
139.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
62.0ms	(* (* 0.12900613773279798 x) x)

simplify1.2s

Counts

84 → 84

Iterations

Iter	Nodes
done	2006
3	2006
2	938
1	282
0	111

prune250.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
10×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
9×	`prod-diff`
6×	`associate-r`
5×	`distribute-rgt-in` `distribute-lft-in` `add-log-exp`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `sub-neg` `fma-neg` `insert-posit16` `log1p-expm1-u`
2×	`flip3--` `associate-r/` `-commutative` `flip--` `unswap-sqr`
1×	`diff-log`

Counts

3 → 76

Calls

3 calls:

9.0ms	(- 0.954929658551372 (* (* x x) 0.12900613773279798))
29.0ms	(* x (- 0.954929658551372 (* (* x x) 0.12900613773279798)))
29.0ms	(* (* x x) 0.12900613773279798)

series285.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(- 0.954929658551372 (* (* x x) 0.12900613773279798))
176.0ms	(* x (- 0.954929658551372 (* (* x x) 0.12900613773279798)))
30.0ms	(* (* x x) 0.12900613773279798)

simplify1.2s

Counts

85 → 85

Iterations

Iter	Nodes
done	2002
3	2002
2	1005
1	296
0	114

prune329.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

49×	`pow1`
25×	`add-sqr-sqrt`
22×	`add-cbrt-cube` `add-exp-log`
20×	`pow-prod-down`
17×	`associate-r`
14×	`*-un-lft-identity` `add-cube-cbrt`
11×	`prod-exp` `cbrt-unprod`
10×	`associate-l`
8×	`sqrt-prod`
6×	`prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in` `unswap-sqr`
4×	`expm1-log1p-u` `pow-sqr` `*-commutative` `pow-prod-up` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`sub-neg` `pow-plus` `associate-*r/`
1×	`pow2` `flip3--` `swap-sqr` `flip--` `difference-of-squares`

Counts

4 → 121

Calls

4 calls:

24.0ms	(* x (- 0.954929658551372 (* (* x (sqrt 0.12900613773279798)) (* x (sqrt 0.12900613773279798)))))
14.0ms	(* x (sqrt 0.12900613773279798))
14.0ms	(* x (sqrt 0.12900613773279798))
34.0ms	(* (* x (sqrt 0.12900613773279798)) (* x (sqrt 0.12900613773279798)))

series500.0ms

Counts

4 → 12

Calls

4 calls:

249.0ms	(* x (- 0.954929658551372 (* (* x (sqrt 0.12900613773279798)) (* x (sqrt 0.12900613773279798)))))
43.0ms	(* x (sqrt 0.12900613773279798))
77.0ms	(* x (sqrt 0.12900613773279798))
132.0ms	(* (* x (sqrt 0.12900613773279798)) (* x (sqrt 0.12900613773279798)))

simplify1.4s

Counts

133 → 133

Iterations

Iter	Nodes
done	2004
3	2004
2	1061
1	298
0	126

prune399.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite72.0ms

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×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
2×	`pow2` `pow-sqr` `*-commutative`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `pow3` `flip--` `unswap-sqr`

Counts

3 → 72

Calls

3 calls:

9.0ms	(- (* x 0.954929658551372) (* 0.12900613773279798 (* (* x x) x)))
17.0ms	(* (* x x) x)
46.0ms	(* 0.12900613773279798 (* (* x x) x))

series287.0ms

Counts

3 → 9

Calls

3 calls:

145.0ms	(- (* x 0.954929658551372) (* 0.12900613773279798 (* (* x x) x)))
68.0ms	(* (* x x) x)
75.0ms	(* 0.12900613773279798 (* (* x x) x))

simplify985.0ms

Counts

81 → 81

Iterations

Iter	Nodes
done	2000
3	2000
2	810
1	257
0	95

prune162.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes28.0ms

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	9
1	9
0	7

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.5s

11981×

body

valid