Details

sample33.0ms

Algorithm

intervals

Results

10.0ms	266×	body	80	valid
9.0ms	261×	body	80	nan

simplify197.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (15.0ms)

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 1 expressions with local error:

0.1b	(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)

series85.0ms

Counts

1 → 3

Calls

1 calls:

85.0ms

(fma (sqrt z) y x)

simplify3.1s

Counts

13 → 13

Iterations

Useful iterations: 5 (1.5s)

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

prune61.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))
0.5b	(cbrt (fma (sqrt z) y x))
0.5b	(cbrt (fma (sqrt z) y x))
0.5b	(cbrt (fma (sqrt z) y x))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

12.0ms	(* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))
1.0ms	(cbrt (fma (sqrt z) y x))
1.0ms	(cbrt (fma (sqrt z) y x))
1.0ms	(cbrt (fma (sqrt z) y x))

series1.4s

Counts

4 → 12

Calls

4 calls:

280.0ms	(* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))
371.0ms	(cbrt (fma (sqrt z) y x))
364.0ms	(cbrt (fma (sqrt z) y x))
404.0ms	(cbrt (fma (sqrt z) y x))

simplify2.1s

Counts

93 → 93

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	133	1594
1	318	1474
2	883	1326
3	2667	1098
done	5000	1048

prune370.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fma (sqrt z) y x))
0.1b	(fma (sqrt z) y x)
0.1b	(fma (sqrt z) y x)
0.2b	(* (sqrt (fma (sqrt z) y x)) (sqrt (fma (sqrt z) y x)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`pow1`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`fma-udef`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 86

Calls

4 calls:

2.0ms	(sqrt (fma (sqrt z) y x))
0.0ms	(fma (sqrt z) y x)
0.0ms	(fma (sqrt z) y x)
14.0ms	(* (sqrt (fma (sqrt z) y x)) (sqrt (fma (sqrt z) y x)))

series456.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(sqrt (fma (sqrt z) y x))
91.0ms	(fma (sqrt z) y x)
92.0ms	(fma (sqrt z) y x)
77.0ms	(* (sqrt (fma (sqrt z) y x)) (sqrt (fma (sqrt z) y x)))

simplify2.3s

Counts

98 → 98

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	106	1303
1	229	886
2	600	786
3	1736	745
done	5001	719

prune413.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (sqrt z) y x)
0.1b	(fma (sqrt z) y x)
0.2b	(* (sqrt (fma (sqrt z) y x)) (* (sqrt (sqrt (fma (sqrt z) y x))) (sqrt (sqrt (fma (sqrt z) y x)))))
0.2b	(* (sqrt (sqrt (fma (sqrt z) y x))) (sqrt (sqrt (fma (sqrt z) y x))))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

83×	`sqrt-pow1`
71×	`sqrt-prod`
65×	`pow1`
52×	`add-sqr-sqrt`
43×	`pow1/2`
39×	`pow-prod-up`
18×	`add-cube-cbrt` `*-un-lft-identity`
17×	`swap-sqr`
15×	`associate-l`
12×	`pow-prod-down`
11×	`add-exp-log` `pow-sqr` `add-cbrt-cube` `unswap-sqr`
10×	`associate-r`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-unprod`
2×	`*-commutative` `fma-udef`
1×	`pow2` `pow-plus` `rem-square-sqrt`

Counts

4 → 145

Calls

4 calls:

1.0ms	(fma (sqrt z) y x)
1.0ms	(fma (sqrt z) y x)
70.0ms	(* (sqrt (fma (sqrt z) y x)) (* (sqrt (sqrt (fma (sqrt z) y x))) (sqrt (sqrt (fma (sqrt z) y x)))))
22.0ms	(* (sqrt (sqrt (fma (sqrt z) y x))) (sqrt (sqrt (fma (sqrt z) y x))))

series412.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(fma (sqrt z) y x)
76.0ms	(fma (sqrt z) y x)
77.0ms	(* (sqrt (fma (sqrt z) y x)) (* (sqrt (sqrt (fma (sqrt z) y x))) (sqrt (sqrt (fma (sqrt z) y x)))))
184.0ms	(* (sqrt (sqrt (fma (sqrt z) y x))) (sqrt (sqrt (fma (sqrt z) y x))))

simplify2.6s

Counts

157 → 157

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	165	2866
1	348	1363
2	857	1231
3	2537	1181
done	5001	1160

prune449.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes187.0ms

Accuracy

0% (0.0b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

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

971.0ms	8521×	body	80	valid
598.0ms	8679×	body	80	nan