Details

sample26.0ms

Algorithm

intervals

Results

15.0ms

341×

body

valid

simplify26.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	21
4	21
3	20
2	16
1	11
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)

rewrite18.0ms

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` `insert-posit16` `div-inv` `flip--` `add-log-exp`

Counts

1 → 35

Calls

1 calls:

18.0ms

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

series100.0ms

Counts

1 → 3

Calls

1 calls:

100.0ms

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

simplify1.3s

Counts

38 → 38

Iterations

Iter	Nodes
done	5000
3	1443
2	448
1	178
0	79

prune170.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.1b	(* 0.16666666666666666 (* x x))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 20

Calls

1 calls:

20.0ms

(* 0.16666666666666666 (* x x))

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

(* 0.16666666666666666 (* x x))

simplify3.0s

Counts

23 → 23

Iterations

Iter	Nodes
done	5003
3	1055
2	261
1	88
0	35

prune75.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

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)))

rewrite100.0ms

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×	`frac-times` `add-cbrt-cube` `insert-posit16` `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 → 97

Calls

4 calls:

11.0ms	(cbrt (- (* x x) 3.0))
9.0ms	(cbrt (- (* x x) 3.0))
6.0ms	(cbrt (- (* x x) 3.0))
72.0ms	(* (cbrt (- (* x x) 3.0)) (cbrt (- (* x x) 3.0)))

series1.3s

Counts

4 → 12

Calls

4 calls:

310.0ms	(cbrt (- (* x x) 3.0))
287.0ms	(cbrt (- (* x x) 3.0))
330.0ms	(cbrt (- (* x x) 3.0))
339.0ms	(* (cbrt (- (* x x) 3.0)) (cbrt (- (* x x) 3.0)))

simplify2.1s

Counts

109 → 109

Iterations

Iter	Nodes
done	5006
3	2903
2	962
1	359
0	158

prune545.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite66.0ms

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` `insert-posit16`
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 → 119

Calls

4 calls:

5.0ms	(- x (sqrt 3.0))
13.0ms	(/ (- x (sqrt 3.0)) 6.0)
8.0ms	(+ (sqrt 3.0) x)
37.0ms	(* (+ (sqrt 3.0) x) (/ (- x (sqrt 3.0)) 6.0))

series467.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(- x (sqrt 3.0))
107.0ms	(/ (- x (sqrt 3.0)) 6.0)
49.0ms	(+ (sqrt 3.0) x)
255.0ms	(* (+ (sqrt 3.0) x) (/ (- x (sqrt 3.0)) 6.0))

simplify3.1s

Counts

131 → 131

Iterations

Iter	Nodes
done	5010
3	4710
2	1170
1	379
0	150

prune455.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes103.0ms

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	7
1	7
0	6

end0.0ms

sample546.0ms

Algorithm

intervals

Results

392.0ms

10733×

body

valid