Details

sample20.0ms

Algorithm

intervals

Results

10.0ms

334×

body

valid

simplify12.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	21
4	21
3	20
2	16
1	11
0	6

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize14.0ms

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×	`pow1` `cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-sub` `div-exp` `div-inv` `flip--` `add-log-exp`

Counts

1 → 34

Calls

1 calls:

32.0ms

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

series103.0ms

Counts

1 → 3

Calls

1 calls:

103.0ms

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

simplify2.1s

Counts

37 → 37

Iterations

Iter	Nodes
done	5000
3	3845
2	626
1	182
0	78

prune203.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 1 expressions with local error:

0.3b	(* (* x x) 0.16666666666666666)

rewrite33.0ms

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×	`associate-l` `*-commutative` `add-log-exp` `unswap-sqr`

Counts

1 → 19

Calls

1 calls:

32.0ms

(* (* x x) 0.16666666666666666)

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

(* (* x x) 0.16666666666666666)

simplify637.0ms

Counts

22 → 22

Iterations

Iter	Nodes
done	5001
2	712
1	103
0	37

prune87.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (sqrt 0.16666666666666666) x)
0.1b	(* (sqrt 0.16666666666666666) x)
0.4b	(* (* (sqrt 0.16666666666666666) x) (* (sqrt 0.16666666666666666) x))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

46×	`pow1`
19×	`add-cbrt-cube` `pow-prod-down` `add-exp-log`
17×	`add-sqr-sqrt`
13×	`associate-l`
10×	`prod-exp` `cbrt-unprod`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`sqrt-prod`
7×	`associate-r`
4×	`pow-sqr` `pow-prod-up` `unswap-sqr`
3×	`*-commutative` `add-log-exp`
2×	`pow-plus`
1×	`pow2` `swap-sqr`

Counts

3 → 78

Calls

3 calls:

17.0ms	(* (sqrt 0.16666666666666666) x)
15.0ms	(* (sqrt 0.16666666666666666) x)
59.0ms	(* (* (sqrt 0.16666666666666666) x) (* (sqrt 0.16666666666666666) x))

series259.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(* (sqrt 0.16666666666666666) x)
73.0ms	(* (sqrt 0.16666666666666666) x)
139.0ms	(* (* (sqrt 0.16666666666666666) x) (* (sqrt 0.16666666666666666) x))

simplify706.0ms

Counts

87 → 87

Iterations

Iter	Nodes
done	5000
2	854
1	144
0	58

prune211.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

63×	`add-sqr-sqrt`
46×	`*-un-lft-identity`
37×	`times-frac`
26×	`add-cube-cbrt`
22×	`associate-r`
16×	`difference-of-squares`
11×	`add-cbrt-cube` `add-exp-log`
8×	`sqrt-prod` `distribute-lft-out--` `add-log-exp`
6×	`pow1` `associate-/l*`
4×	`associate-l`
3×	`associate-/r*` `flip3-+` `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 → 115

Calls

4 calls:

16.0ms	(/ (- x (sqrt 3.0)) 6.0)
9.0ms	(+ x (sqrt 3.0))
11.0ms	(- x (sqrt 3.0))
52.0ms	(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

series458.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(/ (- x (sqrt 3.0)) 6.0)
68.0ms	(+ x (sqrt 3.0))
76.0ms	(- x (sqrt 3.0))
215.0ms	(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

simplify1.3s

Counts

127 → 127

Iterations

Iter	Nodes
done	5000
2	2331
1	370
0	142

prune475.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes74.0ms

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	8
1	8
0	7

end0.0ms

sample600.0ms

Algorithm

intervals

Results

364.0ms

10612×

body

valid