Details

sample29.0ms

Algorithm

intervals

Results

14.0ms

332×

body

valid

simplify18.0ms

Counts

1 → 1

Iterations

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite27.0ms

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:

25.0ms

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

series123.0ms

Counts

1 → 3

Calls

1 calls:

122.0ms

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

simplify2.1s

Counts

37 → 37

Iterations

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

prune139.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* (* x x) 0.16666666666666666) 0.5)
0.2b	(* (* x x) 0.16666666666666666)

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`add-sqr-sqrt` `add-log-exp`
3×	`-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
1×	`sub-neg` `flip3--` `diff-log` `associate-l` `*-commutative` `flip--` `unswap-sqr`

Counts

2 → 31

Calls

2 calls:

32.0ms	(- (* (* x x) 0.16666666666666666) 0.5)
28.0ms	(* (* x x) 0.16666666666666666)

series129.0ms

Counts

2 → 6

Calls

2 calls:

80.0ms	(- (* (* x x) 0.16666666666666666) 0.5)
49.0ms	(* (* x x) 0.16666666666666666)

simplify669.0ms

Counts

37 → 37

Iterations

Iter	Nodes
done	5000
2	875
1	156
0	60

prune137.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (* (* x (sqrt 0.16666666666666666)) x) (sqrt 0.16666666666666666)) 0.5)
0.2b	(* x (sqrt 0.16666666666666666))
0.2b	(* (* (* x (sqrt 0.16666666666666666)) x) (sqrt 0.16666666666666666))
0.2b	(* (* x (sqrt 0.16666666666666666)) x)

rewrite198.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-cbrt-cube` `add-exp-log`
15×	`associate-r`
14×	`add-sqr-sqrt`
10×	`*-un-lft-identity` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
7×	`sqrt-prod`
6×	`add-log-exp`
5×	`associate-l`
3×	`*-commutative`
2×	`unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 76

Calls

4 calls:

81.0ms	(- (* (* (* x (sqrt 0.16666666666666666)) x) (sqrt 0.16666666666666666)) 0.5)
8.0ms	(* x (sqrt 0.16666666666666666))
73.0ms	(* (* (* x (sqrt 0.16666666666666666)) x) (sqrt 0.16666666666666666))
33.0ms	(* (* x (sqrt 0.16666666666666666)) x)

series432.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(- (* (* (* x (sqrt 0.16666666666666666)) x) (sqrt 0.16666666666666666)) 0.5)
85.0ms	(* x (sqrt 0.16666666666666666))
109.0ms	(* (* (* x (sqrt 0.16666666666666666)) x) (sqrt 0.16666666666666666))
79.0ms	(* (* x (sqrt 0.16666666666666666)) x)

simplify1.6s

Counts

88 → 88

Iterations

Iter	Nodes
done	5001
2	1765
1	263
0	101

prune345.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite81.0ms

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:

5.0ms	(- x (sqrt 3.0))
5.0ms	(+ x (sqrt 3.0))
19.0ms	(/ (- x (sqrt 3.0)) 6.0)
47.0ms	(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

series428.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(- x (sqrt 3.0))
58.0ms	(+ x (sqrt 3.0))
85.0ms	(/ (- x (sqrt 3.0)) 6.0)
232.0ms	(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

simplify1.2s

Counts

127 → 127

Iterations

Iter	Nodes
done	5001
2	2326
1	370
0	142

prune409.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes166.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
0	6

end0.0ms

sample627.0ms

Algorithm

intervals

Results

410.0ms

10671×

body

valid