Details

sample36.0ms

Algorithm

intervals

Results

9.0ms	272×	body	80	valid
8.0ms	278×	body	80	nan

simplify210.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	7	8
1	13	8
2	25	7
3	44	7
4	65	7
5	88	7
6	105	7
7	126	7
8	149	7
9	156	7
10	171	7
done	171	7

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 1 expressions with local error:

0.2b	(* y (sqrt x))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`associate-r`
4×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
3×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
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:

20.0ms

(* y (sqrt x))

series62.0ms

Counts

1 → 3

Calls

1 calls:

62.0ms

(* y (sqrt x))

simplify4.2s

Counts

27 → 27

Iterations

Useful iterations: 4 (2.0s)

Iter	Nodes	Cost
0	65	220
1	155	197
2	365	183
3	959	175
4	3252	170
done	5000	170

prune110.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite94.0ms

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:

3.0ms	(sqrt (sqrt x))
8.0ms	(sqrt (sqrt x))
25.0ms	(* y (sqrt (sqrt x)))
55.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series652.0ms

Counts

4 → 12

Calls

4 calls:

241.0ms	(sqrt (sqrt x))
239.0ms	(sqrt (sqrt x))
108.0ms	(* y (sqrt (sqrt x)))
64.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify3.6s

Counts

108 → 108

Iterations

Useful iterations: done (3.6s)

Iter	Nodes	Cost
0	138	963
1	354	754
2	1000	688
3	3003	671
done	5001	659

prune388.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-exp-log`
38×	`add-sqr-sqrt`
29×	`unpow-prod-down`
27×	`*-un-lft-identity`
26×	`add-cube-cbrt` `associate-r`
20×	`times-frac`
19×	`prod-exp` `sqrt-prod`
12×	`pow-exp`
11×	`add-cbrt-cube`
10×	`pow1`
6×	`div-exp`
5×	`unswap-sqr`
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` `sqr-pow`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `div-inv`
1×	`pow-flip` `pow-prod-down` `inv-pow`

Counts

4 → 127

Calls

4 calls:

14.0ms	(pow (/ 1 x) -1/4)
5.0ms	(sqrt (sqrt x))
34.0ms	(* y (pow (/ 1 x) -1/4))
63.0ms	(* (* y (pow (/ 1 x) -1/4)) (sqrt (sqrt x)))

series762.0ms

Counts

4 → 12

Calls

4 calls:

300.0ms	(pow (/ 1 x) -1/4)
204.0ms	(sqrt (sqrt x))
122.0ms	(* y (pow (/ 1 x) -1/4))
135.0ms	(* (* y (pow (/ 1 x) -1/4)) (sqrt (sqrt x)))

simplify1.9s

Counts

139 → 139

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	242	1538
1	574	1314
2	1557	1235
done	5000	1183

prune524.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

30.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.3s

Counts

4 → 12

Calls

4 calls:

428.0ms	(* (cbrt x) (cbrt x))
319.0ms	(cbrt x)
296.0ms	(cbrt x)
283.0ms	(cbrt x)

simplify5.7s

Counts

93 → 93

Iterations

Useful iterations: done (5.7s)

Iter	Nodes	Cost
0	65	554
1	119	443
2	327	423
3	1104	405
4	4523	400
done	5001	390

prune604.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes108.0ms

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

sample1.4s

Algorithm

intervals

Results

349.0ms	8559×	body	80	valid
345.0ms	8550×	body	80	nan
21.0ms	2×	body	320	valid
0.0ms	1×	body	1280	valid