Details

sample29.0ms

Algorithm

intervals

Results

13.0ms

332×

body

valid

simplify30.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	24
5	24
4	23
3	21
2	17
1	12
0	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ (- (* x x) 3.0) 6.0)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`times-frac`
10×	`*-un-lft-identity` `add-cube-cbrt`
4×	`associate-/l*` `difference-of-squares`
3×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
2×	`associate-/l/`
1×	`expm1-log1p-u` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-sub` `div-exp` `log1p-expm1-u` `div-inv` `flip--` `add-log-exp`

Counts

1 → 36

Calls

1 calls:

32.0ms

(/ (- (* x x) 3.0) 6.0)

series131.0ms

Counts

1 → 3

Calls

1 calls:

130.0ms

(/ (- (* x x) 3.0) 6.0)

simplify2.7s

Counts

39 → 39

Iterations

Iter	Nodes
done	5000
3	4029
2	651
1	189
0	80

prune198.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (* x x) 0.16666666666666666 (- 0.5))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (* x x) 0.16666666666666666 (- 0.5))

series77.0ms

Counts

1 → 3

Calls

1 calls:

77.0ms

(fma (* x x) 0.16666666666666666 (- 0.5))

simplify3.8s

Counts

13 → 13

Iterations

Iter	Nodes
done	5000
4	2732
3	382
2	96
1	31
0	20

prune56.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (sqrt 3.0))
0.0b	(+ (sqrt 3.0) x)
0.0b	(/ (- x (sqrt 3.0)) 6.0)
0.8b	(* (+ (sqrt 3.0) x) (/ (- x (sqrt 3.0)) 6.0))

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt`
61×	`*-un-lft-identity`
41×	`add-cube-cbrt`
37×	`times-frac`
22×	`associate-r`
20×	`sqrt-prod`
18×	`prod-diff`
16×	`difference-of-squares`
11×	`add-cbrt-cube` `add-exp-log`
8×	`distribute-lft-out--` `add-log-exp`
6×	`pow1` `fma-def` `associate-/l*`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u`
3×	`associate-/r*` `flip3-+` `fma-neg` `flip-+`
2×	`frac-times` `cbrt-undiv` `flip3--` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `flip--` `distribute-lft-out` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `diff-log` `div-sub` `pow-prod-down` `associate-r/` `-commutative`

Counts

4 → 150

Calls

4 calls:

12.0ms	(- x (sqrt 3.0))
15.0ms	(+ (sqrt 3.0) x)
22.0ms	(/ (- x (sqrt 3.0)) 6.0)
82.0ms	(* (+ (sqrt 3.0) x) (/ (- x (sqrt 3.0)) 6.0))

series387.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(- x (sqrt 3.0))
38.0ms	(+ (sqrt 3.0) x)
76.0ms	(/ (- x (sqrt 3.0)) 6.0)
203.0ms	(* (+ (sqrt 3.0) x) (/ (- x (sqrt 3.0)) 6.0))

simplify2.3s

Counts

162 → 162

Iterations

Iter	Nodes
done	5002
2	2798
1	500
0	196

prune556.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (sqrt 3.0))
0.0b	(* (- (sqrt 3.0) x) 6.0)
0.1b	(* (- 3.0 (pow x 2)) (- x (sqrt 3.0)))
5.0b	(/ (* (- 3.0 (pow x 2)) (- x (sqrt 3.0))) (* (- (sqrt 3.0) x) 6.0))

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

67×	`add-sqr-sqrt`
54×	`prod-diff`
53×	`*-un-lft-identity`
45×	`add-cube-cbrt`
30×	`sqrt-prod`
20×	`distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube` `add-exp-log`
15×	`flip3--` `flip--`
14×	`associate-l`
10×	`difference-of-squares`
9×	`associate-r`
8×	`frac-times` `pow1` `associate-*l/` `associate-/l/`
6×	`prod-exp` `cbrt-unprod` `add-log-exp`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `associate-*r/` `log1p-expm1-u` `distribute-lft-out--`
3×	`sub-neg` `fma-neg`
2×	`pow-prod-down` `associate-/r/` `*-commutative` `unswap-sqr`
1×	`clear-num` `associate-/r` `unpow-prod-down` `frac-2neg` `times-frac` `diff-log` `div-inv` `associate-/l` `unpow2` `sqr-pow`

Counts

4 → 172

Calls

4 calls:

13.0ms	(- x (sqrt 3.0))
41.0ms	(* (- (sqrt 3.0) x) 6.0)
57.0ms	(* (- 3.0 (pow x 2)) (- x (sqrt 3.0)))
77.0ms	(/ (* (- 3.0 (pow x 2)) (- x (sqrt 3.0))) (* (- (sqrt 3.0) x) 6.0))

series491.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(- x (sqrt 3.0))
72.0ms	(* (- (sqrt 3.0) x) 6.0)
53.0ms	(* (- 3.0 (pow x 2)) (- x (sqrt 3.0)))
310.0ms	(/ (* (- 3.0 (pow x 2)) (- x (sqrt 3.0))) (* (- (sqrt 3.0) x) 6.0))

simplify481.0ms

Counts

184 → 184

Iterations

Iter	Nodes
done	5001
1	728
0	265

prune617.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes72.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	6
0	6

end0.0ms

sample627.0ms

Algorithm

intervals

Results

385.0ms

10671×

body

valid