Details

sample49.0ms

Algorithm

intervals

Results

12.0ms	267×	body	80	valid
11.0ms	258×	body	80	nan

simplify180.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	10
1	21	10
2	47	10
3	71	10
4	103	10
5	122	10
6	136	10
7	148	10
done	148	10

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (sqrt z)))
0.2b	(* (/ 1.0 2.0) (+ x (* y (sqrt z))))
0.2b	(* y (sqrt z))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
16×	`associate-l`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`add-exp-log` `times-frac` `add-cbrt-cube`
9×	`associate-r`
7×	`pow1`
5×	`add-log-exp`
4×	`sqrt-prod` `unswap-sqr`
3×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+`
2×	`frac-times` `associate-r/` `pow-prod-down` `-commutative`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `distribute-lft-in` `div-exp` `associate-*l/` `sum-log` `div-inv`

Counts

3 → 71

Calls

3 calls:

6.0ms	(+ x (* y (sqrt z)))
46.0ms	(* (/ 1.0 2.0) (+ x (* y (sqrt z))))
17.0ms	(* y (sqrt z))

series205.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(+ x (* y (sqrt z)))
86.0ms	(* (/ 1.0 2.0) (+ x (* y (sqrt z))))
65.0ms	(* y (sqrt z))

simplify1.3s

Counts

80 → 80

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	157	953
1	504	894
2	2215	806
done	5001	802

prune281.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(sqrt (sqrt z))
0.2b	(* (/ 1.0 2.0) (+ x (* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))))
0.3b	(* y (sqrt (sqrt z)))
0.3b	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
31×	`sqrt-prod`
21×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
17×	`associate-l`
16×	`add-exp-log` `add-cbrt-cube`
15×	`pow1`
10×	`times-frac`
6×	`prod-exp` `cbrt-unprod`
5×	`pow-prod-down` `unswap-sqr`
4×	`sqrt-pow1` `add-log-exp`
3×	`*-commutative`
2×	`frac-times` `rem-sqrt-square` `flip3-+` `pow1/2` `associate-*r/` `flip-+`
1×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `associate-*l/` `div-inv`

Counts

4 → 107

Calls

4 calls:

4.0ms	(sqrt (sqrt z))
46.0ms	(* (/ 1.0 2.0) (+ x (* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))))
25.0ms	(* y (sqrt (sqrt z)))
68.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series454.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(sqrt (sqrt z))
64.0ms	(* (/ 1.0 2.0) (+ x (* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))))
120.0ms	(* y (sqrt (sqrt z)))
70.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify2.3s

Counts

119 → 119

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	222	1620
1	694	1166
2	3519	1060
done	5000	1041

prune423.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ 1.0 2.0) (+ x (* (* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt z)))))
0.3b	(* y (sqrt (sqrt (sqrt z))))
0.3b	(* (* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt z)))
0.3b	(* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))

rewrite412.0ms

Algorithm

rewrite-expression-head

Rules

51×	`sqrt-prod`
37×	`add-sqr-sqrt`
36×	`associate-r`
25×	`add-exp-log` `add-cbrt-cube`
24×	`add-cube-cbrt` `*-un-lft-identity`
22×	`pow1`
18×	`associate-l`
12×	`prod-exp` `cbrt-unprod`
11×	`pow-prod-down`
10×	`times-frac`
6×	`unswap-sqr`
4×	`*-commutative` `add-log-exp`
2×	`frac-times` `flip3-+` `associate-*r/` `flip-+`
1×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `associate-*l/` `div-inv`

Counts

4 → 122

Calls

4 calls:

25.0ms	(* (/ 1.0 2.0) (+ x (* (* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt z)))))
25.0ms	(* y (sqrt (sqrt (sqrt z))))
252.0ms	(* (* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt z)))
101.0ms	(* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))

series398.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* (/ 1.0 2.0) (+ x (* (* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt z)))))
128.0ms	(* y (sqrt (sqrt (sqrt z))))
62.0ms	(* (* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt z)))
133.0ms	(* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))

simplify2.9s

Counts

134 → 134

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	248	2552
1	780	1785
2	4363	1550
done	5002	1254

prune517.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (fabs (cbrt z)))
0.3b	(* (* y (fabs (cbrt z))) (sqrt (cbrt z)))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-r`
11×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`cbrt-prod`
6×	`sqrt-prod`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`pow1/3` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 64

Calls

4 calls:

7.0ms	(* y (fabs (cbrt z)))
46.0ms	(* (* y (fabs (cbrt z))) (sqrt (cbrt z)))
3.0ms	(cbrt z)
2.0ms	(cbrt z)

series763.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* y (fabs (cbrt z)))
135.0ms	(* (* y (fabs (cbrt z))) (sqrt (cbrt z)))
302.0ms	(cbrt z)
300.0ms	(cbrt z)

simplify929.0ms

Counts

76 → 76

Iterations

Useful iterations: done (926.0ms)

Iter	Nodes	Cost
0	96	636
1	227	585
2	1150	518
done	5001	506

prune275.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.2b

regimes319.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample2.2s

Algorithm

intervals

Results

903.0ms	8527×	body	80	valid
501.0ms	8229×	body	80	nan