Details

sample59.0ms

Algorithm

intervals

Results

14.0ms	296×	body	80	nan
13.0ms	269×	body	80	valid

simplify3.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	13	8
2	23	8
3	40	8
4	62	8
5	134	8
6	407	8
7	1347	8
done	5000	8

prune41.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (- 1.0 x) (* y (sqrt x)))
0.2b	(* y (sqrt x))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
7×	`add-log-exp`
6×	`associate-r`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `sqrt-prod` `add-cbrt-cube`
3×	`associate-l`
2×	`associate-+l+` `sum-log` `unswap-sqr`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 37

Calls

2 calls:

99.0ms	(+ (- 1.0 x) (* y (sqrt x)))
30.0ms	(* y (sqrt x))

series199.0ms

Counts

2 → 6

Calls

2 calls:

101.0ms	(+ (- 1.0 x) (* y (sqrt x)))
98.0ms	(* y (sqrt x))

simplify1.6s

Counts

43 → 43

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	96	442
1	253	398
2	905	366
done	5001	355

prune314.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

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)))

rewrite171.0ms

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×	`rem-sqrt-square` `pow1/2` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`unswap-sqr`
2×	`*-commutative`

Counts

4 → 88

Calls

4 calls:

71.0ms	(sqrt (sqrt x))
4.0ms	(sqrt (sqrt x))
23.0ms	(* y (sqrt (sqrt x)))
64.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series1.2s

Counts

4 → 12

Calls

4 calls:

394.0ms	(sqrt (sqrt x))
455.0ms	(sqrt (sqrt x))
206.0ms	(* y (sqrt (sqrt x)))
99.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify3.1s

Counts

100 → 100

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	132	915
1	355	716
2	1762	661
done	5000	640

prune800.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

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

rewrite578.0ms

Algorithm

rewrite-expression-head

Rules

61×	`sqrt-prod`
33×	`associate-r`
28×	`add-sqr-sqrt`
22×	`pow1`
20×	`add-exp-log` `add-cbrt-cube`
18×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-l`
4×	`sqrt-pow1` `add-log-exp` `unswap-sqr`
3×	`*-commutative`
2×	`rem-sqrt-square` `pow1/2`

Counts

4 → 103

Calls

4 calls:

4.0ms	(sqrt (sqrt x))
36.0ms	(* y (sqrt (sqrt (sqrt x))))
381.0ms	(* (* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt x)))
148.0ms	(* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))

series1.2s

Counts

4 → 12

Calls

4 calls:

609.0ms	(sqrt (sqrt x))
227.0ms	(* y (sqrt (sqrt (sqrt x))))
80.0ms	(* (* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt x)))
243.0ms	(* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))

simplify4.8s

Counts

115 → 115

Iterations

Useful iterations: done (4.8s)

Iter	Nodes	Cost
0	180	1535
1	496	1090
2	2744	982
done	5001	855

prune762.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt x))
0.2b	(* y (sqrt (sqrt x)))
0.3b	(* (* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))
0.4b	(* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))

rewrite579.0ms

Algorithm

rewrite-expression-head

Rules

58×	`sqrt-prod`
33×	`associate-r`
26×	`add-sqr-sqrt`
22×	`pow1`
20×	`add-exp-log` `add-cbrt-cube`
18×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-l`
4×	`sqrt-pow1` `add-log-exp`
3×	`*-commutative` `unswap-sqr`
2×	`rem-sqrt-square` `pow1/2`

Counts

4 → 102

Calls

4 calls:

4.0ms	(sqrt (sqrt x))
23.0ms	(* y (sqrt (sqrt x)))
320.0ms	(* (* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))
145.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))

series1.2s

Counts

4 → 12

Calls

4 calls:

409.0ms	(sqrt (sqrt x))
265.0ms	(* y (sqrt (sqrt x)))
245.0ms	(* (* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))
297.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))

simplify4.9s

Counts

114 → 114

Iterations

Useful iterations: done (4.9s)

Iter	Nodes	Cost
0	180	1485
1	506	1202
2	2872	1082
done	5001	907

prune809.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes282.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample5.5s

Algorithm

intervals

Results

3.8s	8502×	body	80	valid
749.0ms	8321×	body	80	nan
19.0ms	1×	body	1280	valid