Details

sample47.0ms

Algorithm

intervals

Results

12.0ms	275×	body	80	valid
11.0ms	266×	body	80	nan

simplify126.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	10	10
1	21	10
2	49	9
3	81	9
4	111	9
5	132	9
6	148	9
7	154	9
8	156	9
done	156	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

0.2b	(* y (sqrt z))

rewrite5.0ms

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:

5.0ms

(* y (sqrt z))

series60.0ms

Counts

1 → 3

Calls

1 calls:

59.0ms

(* y (sqrt z))

simplify2.2s

Counts

27 → 27

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	65	220
1	157	199
2	618	183
3	2931	175
done	5001	172

prune62.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

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:

1.0ms	(sqrt (sqrt z))
1.0ms	(sqrt (sqrt z))
7.0ms	(* y (sqrt (sqrt z)))
17.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series394.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(sqrt (sqrt z))
138.0ms	(sqrt (sqrt z))
79.0ms	(* y (sqrt (sqrt z)))
44.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify737.0ms

Counts

108 → 108

Iterations

Useful iterations: done (734.0ms)

Iter	Nodes	Cost
0	138	963
1	360	766
2	1495	688
done	5001	685

prune264.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt z))
0.2b	(* y (sqrt (sqrt (sqrt z))))
0.3b	(* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))
0.3b	(* (* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt z)))

rewrite129.0ms

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×	`expm1-log1p-u` `sqrt-pow1` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`*-commutative`
2×	`rem-sqrt-square` `pow1/2`

Counts

4 → 111

Calls

4 calls:

1.0ms	(sqrt (sqrt z))
10.0ms	(* y (sqrt (sqrt (sqrt z))))
25.0ms	(* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))
90.0ms	(* (* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt z)))

series367.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(sqrt (sqrt z))
95.0ms	(* y (sqrt (sqrt (sqrt z))))
84.0ms	(* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))
46.0ms	(* (* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt z)))

simplify1.1s

Counts

123 → 123

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	188	1613
1	500	1151
2	2092	899
done	5000	896

prune311.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

11.0ms	(* (sqrt (fabs (cbrt z))) (sqrt (sqrt (cbrt z))))
28.0ms	(* (* y (sqrt (sqrt z))) (* (sqrt (fabs (cbrt z))) (sqrt (sqrt (cbrt z)))))
0.0ms	(cbrt z)
1.0ms	(cbrt z)

series839.0ms

Counts

4 → 12

Calls

4 calls:

288.0ms	(* (sqrt (fabs (cbrt z))) (sqrt (sqrt (cbrt z))))
188.0ms	(* (* y (sqrt (sqrt z))) (* (sqrt (fabs (cbrt z))) (sqrt (sqrt (cbrt z)))))
182.0ms	(cbrt z)
181.0ms	(cbrt z)

simplify608.0ms

Counts

104 → 104

Iterations

Useful iterations: 2 (127.0ms)

Iter	Nodes	Cost
0	166	1413
1	383	1253
2	1396	1146
done	5000	1146

prune378.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes192.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	10
1	13	10
done	13	10

end0.0ms

sample1.0s

Algorithm

intervals

Results

409.0ms	8366×	body	80	nan
234.0ms	8497×	body	80	valid
0.0ms	1×	body	160	valid