Details

sample75.0ms

Algorithm

intervals

Results

54.0ms

442×

body

valid

simplify3.7s

Counts

1 → 1

Iterations

Useful iterations: 3 (225.0ms)

Iter	Nodes	Cost
0	28	67
1	69	67
2	228	48
3	875	37
4	4155	37
done	5002	37

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize53.0ms

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)

rewrite15.6s

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×	`add-log-exp`
3×	`associate-r` `associate-l/` `sqrt-prod` `-commutative` `div-inv`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 157

Calls

4 calls:

97.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
14.4s	(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
993.0ms	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
1.0ms	(sqrt PI)

series264.0ms

Counts

4 → 10

Calls

4 calls:

68.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
113.0ms	(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
84.0ms	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify853.0ms

Counts

167 → 167

Iterations

Useful iterations: done (844.0ms)

Iter	Nodes	Cost
0	297	4429
1	945	3002
done	5000	1995

prune905.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

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)

rewrite20.0ms

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` `add-cbrt-cube` `add-log-exp`
3×	`cbrt-div` `pow1/3` `sqrt-prod` `div-inv`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 79

Calls

4 calls:

2.0ms	(cbrt (/ 1.0 5.0))
2.0ms	(cbrt (/ 1.0 5.0))
2.0ms	(cbrt (/ 1.0 5.0))
1.0ms	(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)

simplify1.3s

Counts

83 → 83

Iterations

Useful iterations: 3 (269.0ms)

Iter	Nodes	Cost
0	100	959
1	169	917
2	391	801
3	1632	748
done	5001	748

prune816.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize68.0ms

Local error

Found 4 expressions with local error:

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

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

17.0ms	(* (fabs x) (/ 1.0 21.0))
1.0ms	(sqrt PI)
27.0ms	(sqrt (* (pow (fabs x) (* 2 3)) (* (fabs x) (/ 1.0 21.0))))
25.0ms	(sqrt (* (pow (fabs x) (* 2 3)) (* (fabs x) (/ 1.0 21.0))))

series345.0ms

Counts

4 → 10

Calls

4 calls:

18.0ms	(* (fabs x) (/ 1.0 21.0))
0.0ms	(sqrt PI)
150.0ms	(sqrt (* (pow (fabs x) (* 2 3)) (* (fabs x) (/ 1.0 21.0))))
177.0ms	(sqrt (* (pow (fabs x) (* 2 3)) (* (fabs x) (/ 1.0 21.0))))

simplify1.2s

Counts

77 → 77

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	124	848
1	287	727
2	1466	663
done	5001	633

prune659.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize79.0ms

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)

rewrite78.0ms

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×	`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 → 97

Calls

4 calls:

36.0ms	(* (fabs x) (sqrt (/ 1.0 21.0)))
24.0ms	(sqrt (/ 1.0 21.0))
8.0ms	(sqrt (/ 1.0 21.0))
3.0ms	(sqrt PI)

series57.0ms

Counts

4 → 6

Calls

4 calls:

57.0ms	(* (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)

simplify953.0ms

Counts

103 → 103

Iterations

Useful iterations: done (950.0ms)

Iter	Nodes	Cost
0	133	1022
1	243	932
2	954	843
done	5000	825

prune863.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes124.0ms

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	35	64
1	50	62
done	50	62

end0.0ms

sample3.9s

Algorithm

intervals

Results

3.5s

13904×

body

valid