Details

sample41.0ms

Algorithm

intervals

Results

14.0ms	274×	body	80	valid
8.0ms	295×	body	80	nan

simplify4.0s

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	7	8
1	13	8
2	25	7
3	44	7
4	72	7
5	162	7
6	506	7
7	1673	7
done	5000	7

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (- 1.0 x) (* y (sqrt x)))
0.3b	(* y (sqrt x))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`add-cube-cbrt`
11×	`associate-+l+`
9×	`prod-diff`
7×	`add-log-exp`
6×	`associate-r`
5×	`fma-def`
4×	`pow1` `add-exp-log` `sqrt-prod` `add-cbrt-cube`
3×	`associate-l`
2×	`expm1-log1p-u` `sum-log` `log1p-expm1-u` `unswap-sqr`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 55

Calls

2 calls:

62.0ms	(+ (- 1.0 x) (* y (sqrt x)))
19.0ms	(* y (sqrt x))

series118.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(+ (- 1.0 x) (* y (sqrt x)))
63.0ms	(* y (sqrt x))

simplify830.0ms

Counts

61 → 61

Iterations

Useful iterations: done (828.0ms)

Iter	Nodes	Cost
0	110	620
1	286	545
2	1017	453
done	5001	438

prune227.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

41×	`sqrt-prod`
25×	`add-sqr-sqrt`
18×	`associate-r`
15×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
8×	`sqrt-pow1`
4×	`expm1-log1p-u` `rem-sqrt-square` `pow1/2` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`*-commutative`

Counts

4 → 96

Calls

4 calls:

5.0ms	(sqrt (sqrt x))
5.0ms	(sqrt (sqrt x))
27.0ms	(* y (sqrt (sqrt x)))
83.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series644.0ms

Counts

4 → 12

Calls

4 calls:

218.0ms	(sqrt (sqrt x))
239.0ms	(sqrt (sqrt x))
134.0ms	(* y (sqrt (sqrt x)))
53.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify1.3s

Counts

108 → 108

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	138	963
1	369	754
2	1739	688
done	5001	674

prune426.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (/ 1 x) -1/4)
0.2b	(sqrt (sqrt x))
0.3b	(* y (sqrt (sqrt x)))
0.3b	(* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-exp-log`
34×	`add-sqr-sqrt`
26×	`add-cube-cbrt` `unpow-prod-down` `-un-lft-identity` `associate-r*`
22×	`sqrt-prod`
19×	`prod-exp`
18×	`times-frac`
12×	`pow-exp`
11×	`add-cbrt-cube`
10×	`pow1`
6×	`div-exp`
4×	`expm1-log1p-u` `sqrt-pow1` `associate-l` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp` `rec-exp` `pow-unpow` `pow-pow` `1-exp` `unswap-sqr`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `div-inv` `sqr-pow`
1×	`pow-flip` `pow-prod-down` `inv-pow`

Counts

4 → 125

Calls

4 calls:

16.0ms	(pow (/ 1 x) -1/4)
5.0ms	(sqrt (sqrt x))
25.0ms	(* y (sqrt (sqrt x)))
89.0ms	(* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4))

series842.0ms

Counts

4 → 12

Calls

4 calls:

330.0ms	(pow (/ 1 x) -1/4)
263.0ms	(sqrt (sqrt x))
100.0ms	(* y (sqrt (sqrt x)))
149.0ms	(* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4))

simplify1.7s

Counts

137 → 137

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	250	1503
1	729	1290
2	3096	1210
done	5001	1188

prune603.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- 1.0 x) (* (* y (pow x 1/4)) (pow (/ 1 x) -1/4)))
0.1b	(pow (/ 1 x) -1/4)
0.3b	(* y (pow x 1/4))
0.3b	(* (* y (pow x 1/4)) (pow (/ 1 x) -1/4))

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

74×	`add-exp-log`
45×	`prod-exp`
37×	`add-sqr-sqrt`
32×	`*-un-lft-identity`
30×	`add-cube-cbrt` `unpow-prod-down`
27×	`pow-exp`
24×	`associate-r`
18×	`times-frac`
12×	`pow-to-exp`
11×	`associate-+l+` `add-cbrt-cube`
10×	`div-exp`
9×	`prod-diff` `add-log-exp`
6×	`pow1`
5×	`rec-exp` `fma-def` `1-exp`
4×	`expm1-log1p-u` `associate-l` `cbrt-unprod` `log1p-expm1-u` `sqr-pow`
3×	`pow-unpow` `pow-pow` `unswap-sqr`
2×	`sum-log` `*-commutative` `div-inv`
1×	`+-commutative` `associate-+l-` `sub-neg` `pow-flip` `flip3-+` `diff-log` `flip-+` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

4 → 146

Calls

4 calls:

71.0ms	(+ (- 1.0 x) (* (* y (pow x 1/4)) (pow (/ 1 x) -1/4)))
7.0ms	(pow (/ 1 x) -1/4)
12.0ms	(* y (pow x 1/4))
55.0ms	(* (* y (pow x 1/4)) (pow (/ 1 x) -1/4))

series539.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(+ (- 1.0 x) (* (* y (pow x 1/4)) (pow (/ 1 x) -1/4)))
299.0ms	(pow (/ 1 x) -1/4)
112.0ms	(* y (pow x 1/4))
67.0ms	(* (* y (pow x 1/4)) (pow (/ 1 x) -1/4))

simplify2.7s

Counts

158 → 158

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	253	2056
1	723	1779
2	2942	1616
done	5002	1566

prune537.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes115.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	9	8
done	9	8

end0.0ms

sample1.6s

Algorithm

intervals

Results

498.0ms	8541×	body	80	valid
484.0ms	8512×	body	80	nan
0.0ms	1×	body	640	valid