Details

sample28.0ms

Algorithm

intervals

Results

14.0ms

364×

body

valid

simplify15.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	123
1	12	123
2	17	123
3	21	123
4	23	123
done	23	123

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize6.0ms

Local error

Found 1 expressions with local error:

0.3b	(/ (- (* x x) 3.0) 6.0)

rewrite28.0ms

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:

27.0ms

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

series89.0ms

Counts

1 → 3

Calls

1 calls:

89.0ms

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

simplify2.2s

Counts

39 → 39

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	80	9862
1	184	8945
2	454	8865
3	1557	8865
done	5002	8841

prune130.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.3b	(* 0.16666666666666666 (* x x))

rewrite25.0ms

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:

24.0ms

(* 0.16666666666666666 (* x x))

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

(* 0.16666666666666666 (* x x))

simplify4.3s

Counts

24 → 24

Iterations

Useful iterations: 2 (104.0ms)

Iter	Nodes	Cost
0	36	3821
1	90	3168
2	261	3008
3	1093	3008
done	5001	3008

prune86.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (sqrt 0.16666666666666666) x)
0.2b	(* (sqrt 0.16666666666666666) x)
0.3b	(* (* (sqrt 0.16666666666666666) x) (* (sqrt 0.16666666666666666) x))

rewrite70.0ms

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:

8.0ms	(* (sqrt 0.16666666666666666) x)
8.0ms	(* (sqrt 0.16666666666666666) x)
49.0ms	(* (* (sqrt 0.16666666666666666) x) (* (sqrt 0.16666666666666666) x))

series218.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(* (sqrt 0.16666666666666666) x)
56.0ms	(* (sqrt 0.16666666666666666) x)
115.0ms	(* (* (sqrt 0.16666666666666666) x) (* (sqrt 0.16666666666666666) x))

simplify3.6s

Counts

93 → 93

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	62	14973
1	141	12294
2	478	11654
3	2381	11174
done	5000	11174

prune303.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize19.0ms

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))

rewrite143.0ms

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` `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 → 147

Calls

4 calls:

13.0ms	(- x (sqrt 3.0))
37.0ms	(/ (- x (sqrt 3.0)) 6.0)
14.0ms	(+ x (sqrt 3.0))
69.0ms	(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

series460.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(- x (sqrt 3.0))
99.0ms	(/ (- x (sqrt 3.0)) 6.0)
50.0ms	(+ x (sqrt 3.0))
245.0ms	(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

simplify2.3s

Counts

159 → 159

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	192	45921
1	481	39503
2	1455	36517
done	5001	34997

prune573.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes84.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	163
1	8	163
done	8	163

end0.0ms

sample586.0ms

Algorithm

intervals

Results

407.0ms

10708×

body

valid