Details

sample31.0ms

Algorithm

intervals

Results

14.0ms

334×

body

valid

simplify31.0ms

Counts

1 → 1

Iterations

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize20.0ms

Local error

Found 1 expressions with local error:

0.3b	(/ (- (* 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)

series88.0ms

Counts

1 → 3

Calls

1 calls:

88.0ms

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

simplify2.4s

Counts

39 → 39

Iterations

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

prune233.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.3b	(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))

series92.0ms

Counts

1 → 3

Calls

1 calls:

92.0ms

(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

prune96.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (sqrt 3.0) x)
0.0b	(/ (- x (sqrt 3.0)) 6.0)
0.0b	(- x (sqrt 3.0))
0.7b	(* (+ (sqrt 3.0) x) (/ (- x (sqrt 3.0)) 6.0))

rewrite128.0ms

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	(+ (sqrt 3.0) x)
31.0ms	(/ (- x (sqrt 3.0)) 6.0)
11.0ms	(- x (sqrt 3.0))
65.0ms	(* (+ (sqrt 3.0) x) (/ (- x (sqrt 3.0)) 6.0))

series437.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ (sqrt 3.0) x)
97.0ms	(/ (- x (sqrt 3.0)) 6.0)
63.0ms	(- x (sqrt 3.0))
240.0ms	(* (+ (sqrt 3.0) x) (/ (- x (sqrt 3.0)) 6.0))

simplify3.0s

Counts

162 → 162

Iterations

Iter	Nodes
done	5000
2	2997
1	500
0	196

prune684.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (sqrt 3.0))
0.0b	(- x (sqrt 3.0))
0.1b	(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
0.6b	(/ 6.0 (- x (sqrt 3.0)))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

204×	`times-frac`
196×	`*-un-lft-identity`
184×	`add-sqr-sqrt`
104×	`add-cube-cbrt`
40×	`difference-of-squares`
30×	`associate-/r*`
29×	`sqrt-prod`
26×	`distribute-lft-out`
20×	`distribute-lft-out--`
18×	`prod-diff`
13×	`associate-/r/`
11×	`add-cbrt-cube` `add-exp-log`
8×	`add-log-exp`
7×	`flip3--` `div-inv` `flip--` `associate-/l*`
4×	`expm1-log1p-u` `pow1` `cbrt-undiv` `div-exp` `log1p-expm1-u`
3×	`fma-def` `fma-neg`
2×	`clear-num` `frac-2neg` `flip3-+` `flip-+` `associate-/l/`
1×	`+-commutative` `sum-log` `sub-neg` `diff-log`

Counts

4 → 241

Calls

4 calls:

10.0ms	(+ x (sqrt 3.0))
8.0ms	(- x (sqrt 3.0))
34.0ms	(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
28.0ms	(/ 6.0 (- x (sqrt 3.0)))

series459.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(+ x (sqrt 3.0))
80.0ms	(- x (sqrt 3.0))
253.0ms	(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
77.0ms	(/ 6.0 (- x (sqrt 3.0)))

simplify1.7s

Counts

253 → 253

Iterations

Iter	Nodes
done	5001
2	4278
1	780
0	303

prune850.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes70.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	6
0	6

end0.0ms

sample711.0ms

Algorithm

intervals

Results

443.0ms

10612×

body

valid