Details

sample59.0ms

Algorithm

intervals

Results

25.0ms	281×	body	80	valid
12.0ms	249×	body	80	nan

simplify250.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	10	10
1	21	10
2	51	9
3	85	9
4	121	9
5	140	9
6	157	9
7	173	9
8	175	9
done	175	9

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* y (sqrt z)))
0.3b	(* y (sqrt z))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
4×	`pow1` `add-exp-log` `sqrt-prod` `add-cbrt-cube` `add-log-exp`
3×	`fma-def` `associate-l`
2×	`expm1-log1p-u` `log1p-expm1-u` `unswap-sqr`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 40

Calls

2 calls:

6.0ms	(+ x (* y (sqrt z)))
13.0ms	(* y (sqrt z))

series90.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(+ x (* y (sqrt z)))
44.0ms	(* y (sqrt z))

simplify2.5s

Counts

46 → 46

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	90	386
1	232	346
2	601	309
3	1606	300
done	5001	295

prune126.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 1 x (* y (sqrt z)))
0.3b	(* y (sqrt z))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
6×	`associate-r`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `sqrt-prod` `add-cbrt-cube`
3×	`associate-l`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

2 → 34

Calls

2 calls:

0.0ms	(fma 1 x (* y (sqrt z)))
14.0ms	(* y (sqrt z))

series123.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(fma 1 x (* y (sqrt z)))
66.0ms	(* y (sqrt z))

simplify3.7s

Counts

40 → 40

Iterations

Useful iterations: done (3.7s)

Iter	Nodes	Cost
0	80	344
1	182	305
2	423	275
3	1106	257
4	3666	252
done	5000	250

prune113.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(sqrt (sqrt z))
0.2b	(sqrt (sqrt z))
0.2b	(* y (sqrt (sqrt z)))
0.4b	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

rewrite64.0ms

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:

2.0ms	(sqrt (sqrt z))
2.0ms	(sqrt (sqrt z))
13.0ms	(* y (sqrt (sqrt z)))
44.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series625.0ms

Counts

4 → 12

Calls

4 calls:

229.0ms	(sqrt (sqrt z))
207.0ms	(sqrt (sqrt z))
111.0ms	(* y (sqrt (sqrt z)))
78.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify3.3s

Counts

108 → 108

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	138	963
1	354	754
2	1001	688
3	2818	672
done	5001	664

prune379.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (sqrt (fabs (cbrt z))) (* y (sqrt (sqrt z)))) (sqrt (sqrt (cbrt z))))
0.4b	(* (sqrt (fabs (cbrt z))) (* y (sqrt (sqrt z))))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

120.0ms	(* (* (sqrt (fabs (cbrt z))) (* y (sqrt (sqrt z)))) (sqrt (sqrt (cbrt z))))
37.0ms	(* (sqrt (fabs (cbrt z))) (* y (sqrt (sqrt z))))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.0s

Counts

4 → 12

Calls

4 calls:

315.0ms	(* (* (sqrt (fabs (cbrt z))) (* y (sqrt (sqrt z)))) (sqrt (sqrt (cbrt z))))
188.0ms	(* (sqrt (fabs (cbrt z))) (* y (sqrt (sqrt z))))
258.0ms	(cbrt z)
267.0ms	(cbrt z)

simplify1.4s

Counts

93 → 93

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	181	1345
1	454	1177
2	1659	1059
done	5000	1023

prune492.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes225.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	11
1	15	11
done	15	11

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.0s	8536×	body	80	valid
520.0ms	8578×	body	80	nan