Details

sample46.0ms

Algorithm

intervals

Results

11.0ms	279×	body	80	valid
11.0ms	270×	body	80	nan

simplify199.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	10	10
1	21	10
2	51	9
3	85	9
4	123	9
5	142	9
6	159	9
7	177	9
8	179	9
done	179	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

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:

0.0ms

(fma (sqrt z) y x)

series71.0ms

Counts

1 → 3

Calls

1 calls:

71.0ms

(fma (sqrt z) y x)

simplify599.0ms

Counts

13 → 13

Iterations

Useful iterations: 3 (128.0ms)

Iter	Nodes	Cost
0	31	116
1	71	113
2	193	97
3	723	95
done	5001	95

prune52.0ms

Pruning

3 alts after pruning (2 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)
13.0ms	(* (sqrt (fma (sqrt z) y x)) (sqrt (fma (sqrt z) y x)))

series413.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(sqrt (fma (sqrt z) y x))
86.0ms	(fma (sqrt z) y x)
86.0ms	(fma (sqrt z) y x)
77.0ms	(* (sqrt (fma (sqrt z) y x)) (sqrt (fma (sqrt z) y x)))

simplify878.0ms

Counts

98 → 98

Iterations

Useful iterations: done (876.0ms)

Iter	Nodes	Cost
0	106	1303
1	263	894
2	1231	786
done	5000	759

prune353.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

70×	`sqrt-prod`
50×	`add-sqr-sqrt`
35×	`pow1` `sqrt-pow1`
19×	`pow1/2`
18×	`add-cube-cbrt` `*-un-lft-identity`
15×	`swap-sqr` `associate-l`
12×	`pow-prod-down`
11×	`add-exp-log` `add-cbrt-cube` `unswap-sqr`
10×	`associate-r`
9×	`pow-prod-up`
5×	`pow-sqr`
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 → 125

Calls

4 calls:

0.0ms	(fma y (sqrt z) x)
0.0ms	(fma (sqrt z) y x)
60.0ms	(* (sqrt (fma (sqrt z) y x)) (* (sqrt (sqrt (fma y (sqrt z) x))) (sqrt (sqrt (fma y (sqrt z) x)))))
43.0ms	(* (sqrt (sqrt (fma y (sqrt z) x))) (sqrt (sqrt (fma y (sqrt z) x))))

series728.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(fma y (sqrt z) x)
95.0ms	(fma (sqrt z) y x)
448.0ms	(* (sqrt (fma (sqrt z) y x)) (* (sqrt (sqrt (fma y (sqrt z) x))) (sqrt (sqrt (fma y (sqrt z) x)))))
118.0ms	(* (sqrt (sqrt (fma y (sqrt z) x))) (sqrt (sqrt (fma y (sqrt z) x))))

simplify2.4s

Counts

137 → 137

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	175	2661
1	420	1423
2	2176	1218
done	5000	1193

prune519.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma y (sqrt z) x)) (cbrt (fma y (sqrt z) x)))
0.6b	(cbrt (fma y (sqrt z) x))
0.6b	(cbrt (fma y (sqrt z) x))
0.6b	(cbrt (fma y (sqrt z) x))

rewrite20.0ms

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:

13.0ms	(* (cbrt (fma y (sqrt z) x)) (cbrt (fma y (sqrt z) x)))
2.0ms	(cbrt (fma y (sqrt z) x))
1.0ms	(cbrt (fma y (sqrt z) x))
1.0ms	(cbrt (fma y (sqrt z) x))

series1.4s

Counts

4 → 12

Calls

4 calls:

299.0ms	(* (cbrt (fma y (sqrt z) x)) (cbrt (fma y (sqrt z) x)))
380.0ms	(cbrt (fma y (sqrt z) x))
357.0ms	(cbrt (fma y (sqrt z) x))
365.0ms	(cbrt (fma y (sqrt z) x))

simplify798.0ms

Counts

93 → 93

Iterations

Useful iterations: done (787.0ms)

Iter	Nodes	Cost
0	134	1552
1	348	1434
2	1232	1324
done	5001	1226

prune812.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes222.0ms

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

sample2.2s

Algorithm

intervals

Results

514.0ms	8529×	body	80	nan
489.0ms	8543×	body	80	valid
0.0ms	1×	body	160	valid