Details

sample81.0ms

Algorithm

intervals

Results

54.0ms

442×

body

valid

simplify2.0s

Counts

1 → 1

Iterations

Useful iterations: 3 (336.0ms)

Iter	Nodes	Cost
0	28	67
1	70	66
2	250	47
3	1042	35
done	5000	35

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.2b	(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.2b	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
1.0b	(sqrt PI)

rewrite15.3s

Algorithm

rewrite-expression-head

Rules

147×	`add-exp-log` `add-cbrt-cube`
98×	`prod-exp` `cbrt-unprod`
69×	`pow1`
49×	`pow-prod-down`
39×	`associate-l`
27×	`add-sqr-sqrt` `times-frac`
26×	`add-cube-cbrt` `*-un-lft-identity`
15×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `associate-l/` `sqrt-prod` `-commutative` `div-inv`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 165

Calls

4 calls:

92.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
14.2s	(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
1.0s	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
3.0ms	(sqrt PI)

series267.0ms

Counts

4 → 10

Calls

4 calls:

60.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
107.0ms	(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
99.0ms	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify788.0ms

Counts

175 → 175

Iterations

Useful iterations: done (778.0ms)

Iter	Nodes	Cost
0	305	4549
1	956	3089
done	5001	2058

prune1.1s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize87.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt (/ 1.0 5.0))
1.0b	(cbrt (/ 1.0 5.0))
1.0b	(cbrt (/ 1.0 5.0))
1.0b	(sqrt PI)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
27×	`add-sqr-sqrt` `times-frac`
26×	`add-cube-cbrt` `*-un-lft-identity`
5×	`pow1`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-div` `pow1/3` `sqrt-prod` `div-inv`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 87

Calls

4 calls:

3.0ms	(cbrt (/ 1.0 5.0))
2.0ms	(cbrt (/ 1.0 5.0))
18.0ms	(cbrt (/ 1.0 5.0))
3.0ms	(sqrt PI)

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(cbrt (/ 1.0 5.0))
0.0ms	(cbrt (/ 1.0 5.0))
0.0ms	(cbrt (/ 1.0 5.0))
0.0ms	(sqrt PI)

simplify1.7s

Counts

91 → 91

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	104	995
1	174	949
2	411	837
3	1731	776
done	5000	772

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (/ 1.0 21.0) (fabs x))
1.0b	(sqrt PI)
6.8b	(sqrt (* (pow (fabs x) (* 2 3)) (* (/ 1.0 21.0) (fabs x))))
6.8b	(sqrt (* (pow (fabs x) (* 2 3)) (* (/ 1.0 21.0) (fabs x))))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
10×	`times-frac`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`sqrt-prod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-pow1` `pow1/2` `associate-r` `associate-*l/`
2×	`sqrt-div` `associate-*r/` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `rem-sqrt-square` `div-exp` `pow-prod-down` `*-commutative` `div-inv`

Counts

4 → 75

Calls

4 calls:

31.0ms	(* (/ 1.0 21.0) (fabs x))
3.0ms	(sqrt PI)
25.0ms	(sqrt (* (pow (fabs x) (* 2 3)) (* (/ 1.0 21.0) (fabs x))))
43.0ms	(sqrt (* (pow (fabs x) (* 2 3)) (* (/ 1.0 21.0) (fabs x))))

series339.0ms

Counts

4 → 10

Calls

4 calls:

24.0ms	(* (/ 1.0 21.0) (fabs x))
0.0ms	(sqrt PI)
148.0ms	(sqrt (* (pow (fabs x) (* 2 3)) (* (/ 1.0 21.0) (fabs x))))
167.0ms	(sqrt (* (pow (fabs x) (* 2 3)) (* (/ 1.0 21.0) (fabs x))))

simplify1.1s

Counts

85 → 85

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	128	912
1	268	790
2	1152	721
done	5001	694

prune877.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (fabs x) (sqrt (/ 1.0 21.0)))
1.0b	(sqrt (/ 1.0 21.0))
1.0b	(sqrt (/ 1.0 21.0))
1.0b	(sqrt PI)

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

44×	`sqrt-prod`
42×	`add-sqr-sqrt`
30×	`times-frac`
28×	`add-cube-cbrt` `*-un-lft-identity`
16×	`associate-r`
9×	`pow1`
6×	`add-exp-log` `add-cbrt-cube`
5×	`rem-sqrt-square`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-pow1` `pow1/2` `sqrt-div` `associate-l` `div-inv` `unswap-sqr`
1×	`associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod`

Counts

4 → 105

Calls

4 calls:

29.0ms	(* (fabs x) (sqrt (/ 1.0 21.0)))
8.0ms	(sqrt (/ 1.0 21.0))
8.0ms	(sqrt (/ 1.0 21.0))
2.0ms	(sqrt PI)

series44.0ms

Counts

4 → 6

Calls

4 calls:

44.0ms	(* (fabs x) (sqrt (/ 1.0 21.0)))
0.0ms	(sqrt (/ 1.0 21.0))
0.0ms	(sqrt (/ 1.0 21.0))
0.0ms	(sqrt PI)

simplify1.0s

Counts

111 → 111

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	139	1064
1	250	971
2	966	879
done	5001	861

prune1.1s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes169.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	36	63
1	51	61
done	51	61

end0.0ms

sample3.8s

Algorithm

intervals

Results

3.5s

13904×

body

valid