Details

sample33.0ms

Algorithm

intervals

Results

15.0ms

334×

body

valid

simplify27.0ms

Counts

1 → 1

Iterations

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize13.0ms

Local error

Found 1 expressions with local error:

0.3b	(/ (- (* 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×	`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:

17.0ms

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

series130.0ms

Counts

1 → 3

Calls

1 calls:

130.0ms

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

simplify2.7s

Counts

39 → 39

Iterations

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

prune168.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 1 expressions with local error:

0.3b	(* 0.16666666666666666 (* x x))

rewrite26.0ms

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×	`expm1-log1p-u` `associate-r` `*-commutative` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 21

Calls

1 calls:

25.0ms

(* 0.16666666666666666 (* x x))

series51.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

(* 0.16666666666666666 (* x x))

simplify1.1s

Counts

24 → 24

Iterations

Iter	Nodes
done	5001
2	553
1	99
0	36

prune101.0ms

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))

rewrite100.0ms

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×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
2×	`pow-plus`
1×	`pow2` `swap-sqr`

Counts

3 → 84

Calls

3 calls:

15.0ms	(* (sqrt 0.16666666666666666) x)
16.0ms	(* (sqrt 0.16666666666666666) x)
65.0ms	(* (* (sqrt 0.16666666666666666) x) (* (sqrt 0.16666666666666666) x))

series255.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(* (sqrt 0.16666666666666666) x)
55.0ms	(* (sqrt 0.16666666666666666) x)
131.0ms	(* (* (sqrt 0.16666666666666666) x) (* (sqrt 0.16666666666666666) x))

simplify959.0ms

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	799
1	148
0	62

prune272.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

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))

rewrite132.0ms

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:

14.0ms	(+ (sqrt 3.0) x)
35.0ms	(/ (- x (sqrt 3.0)) 6.0)
10.0ms	(- x (sqrt 3.0))
63.0ms	(* (+ (sqrt 3.0) x) (/ (- x (sqrt 3.0)) 6.0))

series436.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(+ (sqrt 3.0) x)
93.0ms	(/ (- x (sqrt 3.0)) 6.0)
56.0ms	(- x (sqrt 3.0))
237.0ms	(* (+ (sqrt 3.0) x) (/ (- x (sqrt 3.0)) 6.0))

simplify2.7s

Counts

162 → 162

Iterations

Iter	Nodes
done	5000
2	2997
1	500
0	196

prune629.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes91.0ms

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

sample657.0ms

Algorithm

intervals

Results

398.0ms

10612×

body

valid