Details

sample56.0ms

Algorithm

intervals

Results

19.0ms	240×	body	80	nan
12.0ms	273×	body	80	valid

simplify229.0ms

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	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

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b	(* y (sqrt x))

rewrite11.0ms

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:

10.0ms

(* y (sqrt x))

series73.0ms

Counts

1 → 3

Calls

1 calls:

73.0ms

(* y (sqrt x))

simplify3.7s

Counts

27 → 27

Iterations

Useful iterations: 4 (1.8s)

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

prune117.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt x))
0.1b	(sqrt (sqrt x))
0.2b	(* y (sqrt (sqrt x)))
0.4b	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

rewrite97.0ms

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))
22.0ms	(* y (sqrt (sqrt x)))
60.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series664.0ms

Counts

4 → 12

Calls

4 calls:

244.0ms	(sqrt (sqrt x))
216.0ms	(sqrt (sqrt x))
123.0ms	(* y (sqrt (sqrt x)))
82.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify3.3s

Counts

108 → 108

Iterations

Useful iterations: done (3.3s)

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

prune358.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt (fabs (cbrt x))) (* y (sqrt (sqrt x))))
0.3b	(* (* (sqrt (fabs (cbrt x))) (* y (sqrt (sqrt x)))) (sqrt (sqrt (cbrt x))))
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite184.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `sqrt-prod` `add-cbrt-cube`
13×	`associate-r`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`cbrt-prod` `pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `*-commutative`

Counts

4 → 81

Calls

4 calls:

32.0ms	(* (sqrt (fabs (cbrt x))) (* y (sqrt (sqrt x))))
145.0ms	(* (* (sqrt (fabs (cbrt x))) (* y (sqrt (sqrt x)))) (sqrt (sqrt (cbrt x))))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.1s

Counts

4 → 12

Calls

4 calls:

227.0ms	(* (sqrt (fabs (cbrt x))) (* y (sqrt (sqrt x))))
319.0ms	(* (* (sqrt (fabs (cbrt x))) (* y (sqrt (sqrt x)))) (sqrt (sqrt (cbrt x))))
292.0ms	(cbrt x)
267.0ms	(cbrt x)

simplify1.5s

Counts

93 → 93

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	180	1345
1	450	1177
2	1618	1047
done	5001	1023

prune544.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

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

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 103

Calls

4 calls:

45.0ms	(* (cbrt (sqrt x)) (cbrt (sqrt x)))
2.0ms	(cbrt x)
3.0ms	(cbrt (sqrt x))
3.0ms	(cbrt (sqrt x))

series968.0ms

Counts

4 → 12

Calls

4 calls:

221.0ms	(* (cbrt (sqrt x)) (cbrt (sqrt x)))
259.0ms	(cbrt x)
222.0ms	(cbrt (sqrt x))
265.0ms	(cbrt (sqrt x))

simplify3.8s

Counts

115 → 115

Iterations

Useful iterations: done (3.8s)

Iter	Nodes	Cost
0	95	1019
1	174	905
2	435	843
3	1139	791
4	3630	783
done	5001	780

prune592.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes156.0ms

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

sample1.9s

Algorithm

intervals

Results

784.0ms	8520×	body	80	valid
492.0ms	8284×	body	80	nan