Details

sample21.0ms

Algorithm

intervals

Results

12.0ms

341×

body

valid

simplify29.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	23
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

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite42.0ms

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` `insert-posit16` `log1p-expm1-u` `div-inv` `flip--` `add-log-exp`

Counts

1 → 37

Calls

1 calls:

41.0ms

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

series84.0ms

Counts

1 → 3

Calls

1 calls:

84.0ms

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

simplify1.7s

Counts

40 → 40

Iterations

Iter	Nodes
done	5001
3	1542
2	448
1	185
0	81

prune177.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (* x x) 0.16666666666666666)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`add-sqr-sqrt` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`*-un-lft-identity` `add-cube-cbrt`
1×	`expm1-log1p-u` `associate-l` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 22

Calls

1 calls:

18.0ms

(* (* x x) 0.16666666666666666)

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(* (* x x) 0.16666666666666666)

simplify3.3s

Counts

25 → 25

Iterations

Iter	Nodes
done	5043
4	4039
3	982
2	301
1	99
0	40

prune110.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- (* x x) 3.0))
0.2b	(cbrt (- (* x x) 3.0))
0.2b	(cbrt (- (* x x) 3.0))
0.2b	(* (cbrt (- (* x x) 3.0)) (cbrt (- (* x x) 3.0)))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

32×	`cbrt-prod`
30×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
7×	`swap-sqr` `associate-r` `associate-l` `difference-of-squares`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 105

Calls

4 calls:

12.0ms	(cbrt (- (* x x) 3.0))
11.0ms	(cbrt (- (* x x) 3.0))
11.0ms	(cbrt (- (* x x) 3.0))
66.0ms	(* (cbrt (- (* x x) 3.0)) (cbrt (- (* x x) 3.0)))

series1.1s

Counts

4 → 12

Calls

4 calls:

240.0ms	(cbrt (- (* x x) 3.0))
278.0ms	(cbrt (- (* x x) 3.0))
278.0ms	(cbrt (- (* x x) 3.0))
266.0ms	(* (cbrt (- (* x x) 3.0)) (cbrt (- (* x x) 3.0)))

simplify2.9s

Counts

117 → 117

Iterations

Iter	Nodes
done	5000
3	3084
2	1002
1	373
0	162

prune472.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

77×	`add-sqr-sqrt`
60×	`*-un-lft-identity`
40×	`add-cube-cbrt`
37×	`times-frac`
22×	`associate-r`
18×	`prod-diff`
17×	`sqrt-prod`
16×	`difference-of-squares`
11×	`add-cbrt-cube` `add-exp-log`
8×	`distribute-lft-out--` `add-log-exp`
6×	`pow1` `associate-/l*`
4×	`expm1-log1p-u` `associate-l` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r*` `fma-def` `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 → 151

Calls

4 calls:

6.0ms	(- x (sqrt 3.0))
14.0ms	(/ (- x (sqrt 3.0)) 6.0)
5.0ms	(+ x (sqrt 3.0))
37.0ms	(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

series437.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(- x (sqrt 3.0))
97.0ms	(/ (- x (sqrt 3.0)) 6.0)
47.0ms	(+ x (sqrt 3.0))
233.0ms	(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

simplify1.6s

Counts

163 → 163

Iterations

Iter	Nodes
done	5000
2	1438
1	485
0	196

prune487.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes92.0ms

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	7
1	7
0	6

end0.0ms

sample644.0ms

Algorithm

intervals

Results

497.0ms

10733×

body

valid