Details

sample40.0ms

Algorithm

intervals

Results

10.0ms	289×	body	80	nan
9.0ms	275×	body	80	valid

simplify1.3s

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite90.0ms

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:

62.0ms	(+ (- 1.0 x) (* y (sqrt x)))
26.0ms	(* y (sqrt x))

series106.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(+ (- 1.0 x) (* y (sqrt x)))
44.0ms	(* y (sqrt x))

simplify552.0ms

Counts

43 → 43

Iterations

Useful iterations: done (550.0ms)

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

prune125.0ms

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

rewrite63.0ms

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:

2.0ms	(sqrt (sqrt x))
2.0ms	(sqrt (sqrt x))
14.0ms	(* y (sqrt (sqrt x)))
42.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series544.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(sqrt (sqrt x))
190.0ms	(sqrt (sqrt x))
115.0ms	(* y (sqrt (sqrt x)))
46.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify1.0s

Counts

100 → 100

Iterations

Useful iterations: done (1.0s)

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

prune290.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite294.0ms

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:

3.0ms	(sqrt (sqrt x))
21.0ms	(* y (sqrt (sqrt (sqrt x))))
72.0ms	(* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))
192.0ms	(* (* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt x)))

series538.0ms

Counts

4 → 12

Calls

4 calls:

222.0ms	(sqrt (sqrt x))
135.0ms	(* y (sqrt (sqrt (sqrt x))))
127.0ms	(* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))
54.0ms	(* (* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt x)))

simplify2.1s

Counts

115 → 115

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	180	1535
1	495	1078
2	2785	990
done	5003	857

prune397.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (sqrt (sqrt (fabs (cbrt x)))) (* y (sqrt (sqrt (sqrt x)))))
0.4b	(* (* (sqrt (sqrt (fabs (cbrt x)))) (* y (sqrt (sqrt (sqrt x))))) (sqrt (sqrt (sqrt (cbrt x)))))
0.5b	(cbrt x)
0.5b	(cbrt x)

rewrite218.0ms

Algorithm

rewrite-expression-head

Rules

36×	`sqrt-prod`
18×	`pow1` `add-exp-log` `add-cbrt-cube`
16×	`associate-r`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`associate-l`
9×	`cbrt-prod` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
2×	`pow1/3` `*-commutative`

Counts

4 → 79

Calls

4 calls:

43.0ms	(* (sqrt (sqrt (fabs (cbrt x)))) (* y (sqrt (sqrt (sqrt x)))))
170.0ms	(* (* (sqrt (sqrt (fabs (cbrt x)))) (* y (sqrt (sqrt (sqrt x))))) (sqrt (sqrt (sqrt (cbrt x)))))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.0s

Counts

4 → 12

Calls

4 calls:

223.0ms	(* (sqrt (sqrt (fabs (cbrt x)))) (* y (sqrt (sqrt (sqrt x)))))
290.0ms	(* (* (sqrt (sqrt (fabs (cbrt x)))) (* y (sqrt (sqrt (sqrt x))))) (sqrt (sqrt (sqrt (cbrt x)))))
240.0ms	(cbrt x)
275.0ms	(cbrt x)

simplify1.5s

Counts

91 → 91

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	172	1487
1	417	1310
2	2013	1169
done	5000	1114

prune533.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes91.0ms

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

439.0ms	8553×	body	80	valid
394.0ms	8807×	body	80	nan
0.0ms	1×	body	640	valid