Details

sample62.0ms

Algorithm

intervals

Results

21.0ms	266×	body	80	valid
10.0ms	236×	body	80	nan

simplify263.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (9.0ms)

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 1 expressions with local error:

0.2b	(fma (sqrt z) y x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (sqrt z) y x)

series81.0ms

Counts

1 → 3

Calls

1 calls:

81.0ms

(fma (sqrt z) y x)

simplify3.1s

Counts

13 → 13

Iterations

Useful iterations: 5 (1.6s)

Iter	Nodes	Cost
0	31	116
1	71	113
2	171	97
3	394	95
4	1016	95
5	2924	92
done	5001	92

prune53.0ms

Pruning

5 alts after pruning (4 fresh and 1 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))

rewrite24.0ms

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:

8.0ms	(+ x (* y (sqrt z)))
14.0ms	(* y (sqrt z))

series102.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(+ x (* y (sqrt z)))
62.0ms	(* y (sqrt z))

simplify2.4s

Counts

46 → 46

Iterations

Useful iterations: done (2.4s)

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

prune142.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite93.0ms

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:

4.0ms	(sqrt (sqrt z))
4.0ms	(sqrt (sqrt z))
22.0ms	(* y (sqrt (sqrt z)))
53.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series602.0ms

Counts

4 → 12

Calls

4 calls:

210.0ms	(sqrt (sqrt z))
208.0ms	(sqrt (sqrt z))
121.0ms	(* y (sqrt (sqrt z)))
62.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify2.6s

Counts

108 → 108

Iterations

Useful iterations: done (2.6s)

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

prune293.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (* y (pow z 1/4)) (sqrt (sqrt z))))
0.1b	(sqrt (sqrt z))
0.2b	(* y (pow z 1/4))
0.3b	(* (* y (pow z 1/4)) (sqrt (sqrt z)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
19×	`add-exp-log` `sqrt-prod`
16×	`associate-r`
13×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-cbrt-cube`
10×	`prod-exp`
8×	`pow1`
6×	`add-log-exp`
4×	`expm1-log1p-u` `unpow-prod-down` `sqrt-pow1` `associate-l` `cbrt-unprod` `log1p-expm1-u`
3×	`fma-def` `unswap-sqr`
2×	`pow-to-exp` `rem-sqrt-square` `pow1/2` `pow-exp` `*-commutative` `sqr-pow`
1×	`+-commutative` `flip3-+` `pow-prod-down` `sum-log` `flip-+`

Counts

4 → 91

Calls

4 calls:

7.0ms	(+ x (* (* y (pow z 1/4)) (sqrt (sqrt z))))
5.0ms	(sqrt (sqrt z))
31.0ms	(* y (pow z 1/4))
28.0ms	(* (* y (pow z 1/4)) (sqrt (sqrt z)))

series492.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(+ x (* (* y (pow z 1/4)) (sqrt (sqrt z))))
192.0ms	(sqrt (sqrt z))
90.0ms	(* y (pow z 1/4))
119.0ms	(* (* y (pow z 1/4)) (sqrt (sqrt z)))

simplify1.5s

Counts

103 → 103

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	191	1149
1	501	1014
2	1586	926
done	5000	882

prune329.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes152.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	10	9
done	10	9

end0.0ms

sample2.1s

Algorithm

intervals

Results

842.0ms	8437×	body	80	nan
536.0ms	8528×	body	80	valid