Details

sample30.0ms

Algorithm

intervals

Results

9.0ms	266×	body	80	nan
7.0ms	275×	body	80	valid

simplify98.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	10	10
1	21	10
2	49	9
3	79	9
4	107	9
5	128	9
6	144	9
7	150	9
8	152	9
done	152	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:

4.0ms

(* y (sqrt z))

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(* y (sqrt z))

simplify3.0s

Counts

27 → 27

Iterations

Useful iterations: 4 (1.0s)

Iter	Nodes	Cost
0	65	220
1	155	197
2	382	183
3	1152	175
4	3793	170
done	5000	170

prune61.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

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)))

rewrite31.0ms

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))
4.0ms	(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:

138.0ms	(sqrt (sqrt z))
136.0ms	(sqrt (sqrt z))
79.0ms	(* y (sqrt (sqrt z)))
40.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify1.7s

Counts

108 → 108

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	138	963
1	355	754
2	1067	688
3	3302	672
done	5001	670

prune234.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize15.0ms

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)))

rewrite124.0ms

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))
9.0ms	(* y (sqrt (sqrt (sqrt z))))
24.0ms	(* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))
86.0ms	(* (* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt z)))

series364.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(sqrt (sqrt z))
94.0ms	(* y (sqrt (sqrt (sqrt z))))
85.0ms	(* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))
45.0ms	(* (* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt z)))

simplify867.0ms

Counts

123 → 123

Iterations

Useful iterations: done (864.0ms)

Iter	Nodes	Cost
0	188	1613
1	491	1127
2	1612	899
done	5000	877

prune287.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize16.0ms

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)

rewrite47.0ms

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:

14.0ms	(* (sqrt (fabs (cbrt z))) (sqrt (sqrt (cbrt z))))
29.0ms	(* (* y (sqrt (sqrt z))) (* (sqrt (fabs (cbrt z))) (sqrt (sqrt (cbrt z)))))
0.0ms	(cbrt z)
1.0ms	(cbrt z)

series830.0ms

Counts

4 → 12

Calls

4 calls:

282.0ms	(* (sqrt (fabs (cbrt z))) (sqrt (sqrt (cbrt z))))
187.0ms	(* (* y (sqrt (sqrt z))) (* (sqrt (fabs (cbrt z))) (sqrt (sqrt (cbrt z)))))
182.0ms	(cbrt z)
178.0ms	(cbrt z)

simplify490.0ms

Counts

104 → 104

Iterations

Useful iterations: 2 (132.0ms)

Iter	Nodes	Cost
0	166	1413
1	380	1244
2	1269	1146
done	5000	1146

prune361.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes188.0ms

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

sample774.0ms

Algorithm

intervals

Results

233.0ms	8497×	body	80	valid
214.0ms	8366×	body	80	nan
0.0ms	1×	body	160	valid