Details

sample61.0ms

Algorithm

intervals

Results

14.0ms	285×	body	80	nan
14.0ms	267×	body	80	valid

simplify3.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	1646
6	498
5	161
4	71
3	43
2	25
1	13
0	7

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 1 expressions with local error:

0.3b	(* y (sqrt x))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`associate-r`
4×	`*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
3×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log`
2×	`unswap-sqr`
1×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`

Counts

1 → 24

Calls

1 calls:

15.0ms

(* y (sqrt x))

series80.0ms

Counts

1 → 3

Calls

1 calls:

80.0ms

(* y (sqrt x))

simplify1.9s

Counts

27 → 27

Iterations

Iter	Nodes
done	5000
3	3622
2	556
1	163
0	65

prune186.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt x))
0.1b	(sqrt (sqrt x))
0.3b	(* (sqrt (sqrt x)) y)
0.3b	(* (* (sqrt (sqrt x)) y) (sqrt (sqrt x)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

3.0ms	(sqrt (sqrt x))
4.0ms	(sqrt (sqrt x))
20.0ms	(* (sqrt (sqrt x)) y)
36.0ms	(* (* (sqrt (sqrt x)) y) (sqrt (sqrt x)))

series1.0s

Counts

4 → 12

Calls

4 calls:

509.0ms	(sqrt (sqrt x))
246.0ms	(sqrt (sqrt x))
177.0ms	(* (sqrt (sqrt x)) y)
79.0ms	(* (* (sqrt (sqrt x)) y) (sqrt (sqrt x)))

simplify987.0ms

Counts

108 → 108

Iterations

Iter	Nodes
done	5000
2	1765
1	357
0	138

prune536.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-exp-log`
34×	`add-sqr-sqrt`
26×	`unpow-prod-down` `*-un-lft-identity` `add-cube-cbrt`
22×	`sqrt-prod`
20×	`associate-r`
19×	`prod-exp`
18×	`times-frac`
12×	`pow-exp`
11×	`add-cbrt-cube`
10×	`pow1` `associate-l`
6×	`div-exp`
4×	`expm1-log1p-u` `sqrt-pow1` `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-prod-down` `pow-flip` `inv-pow`

Counts

4 → 125

Calls

4 calls:

6.0ms	(pow (/ 1 x) -1/4)
2.0ms	(sqrt (sqrt x))
25.0ms	(* (sqrt (sqrt x)) y)
41.0ms	(* (* (sqrt (sqrt x)) y) (pow (/ 1 x) -1/4))

series747.0ms

Counts

4 → 12

Calls

4 calls:

222.0ms	(pow (/ 1 x) -1/4)
192.0ms	(sqrt (sqrt x))
179.0ms	(* (sqrt (sqrt x)) y)
152.0ms	(* (* (sqrt (sqrt x)) y) (pow (/ 1 x) -1/4))

simplify1.5s

Counts

137 → 137

Iterations

Iter	Nodes
done	5001
2	3165
1	720
0	250

prune745.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize42.0ms

Local error

Found 3 expressions with local error:

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

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

19×	`sqrt-prod`
18×	`add-sqr-sqrt` `add-exp-log`
16×	`associate-r`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`add-cbrt-cube` `prod-exp`
7×	`pow1`
4×	`unpow-prod-down` `sqrt-pow1` `associate-l` `cbrt-unprod`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-to-exp` `rem-sqrt-square` `pow1/2` `pow-exp` `*-commutative` `sqr-pow`
1×	`pow-prod-down`

Counts

3 → 75

Calls

3 calls:

2.0ms	(sqrt (sqrt x))
12.0ms	(* y (pow x 1/4))
34.0ms	(* (* y (pow x 1/4)) (sqrt (sqrt x)))

series409.0ms

Counts

3 → 9

Calls

3 calls:

172.0ms	(sqrt (sqrt x))
115.0ms	(* y (pow x 1/4))
121.0ms	(* (* y (pow x 1/4)) (sqrt (sqrt x)))

simplify1.1s

Counts

84 → 84

Iterations

Iter	Nodes
done	5004
2	2148
1	439
0	165

prune455.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes237.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
1	9
0	7

end0.0ms

sample1.6s

Algorithm

intervals

Results

478.0ms	8543×	body	80	valid
468.0ms	8676×	body	80	nan
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid