Details

sample43.0ms

Algorithm

intervals

Results

12.0ms	247×	body	80	nan
11.0ms	278×	body	80	valid

simplify170.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	180
8	180
7	178
6	160
5	142
4	123
3	85
2	51
1	21
0	10

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma y (sqrt z) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma y (sqrt z) x)

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

(fma y (sqrt z) x)

simplify996.0ms

Counts

13 → 13

Iterations

Iter	Nodes
done	5000
4	1133
3	256
2	105
1	48
0	25

prune109.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
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:

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

series1.3s

Counts

4 → 12

Calls

4 calls:

293.0ms	(cbrt (fma y (sqrt z) x))
379.0ms	(cbrt (fma y (sqrt z) x))
317.0ms	(cbrt (fma y (sqrt z) x))
270.0ms	(* (cbrt (fma y (sqrt z) x)) (cbrt (fma y (sqrt z) x)))

simplify1.3s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	1258
1	343
0	133

prune660.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

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

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
24×	`add-sqr-sqrt`
17×	`add-cube-cbrt`
16×	`pow1` `*-un-lft-identity`
12×	`associate-r`
11×	`pow1/3` `add-exp-log`
7×	`swap-sqr` `associate-l` `pow-prod-down`
5×	`add-cbrt-cube`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 94

Calls

4 calls:

13.0ms	(* (cbrt (fma y (sqrt z) x)) (cbrt (fma y (sqrt z) x)))
29.0ms	(* (* (cbrt (* (cbrt (fma y (sqrt z) x)) (cbrt (fma y (sqrt z) x)))) (cbrt (cbrt (fma y (sqrt z) x)))) (cbrt (fma y (sqrt z) x)))
4.0ms	(cbrt (* (cbrt (fma y (sqrt z) x)) (cbrt (fma y (sqrt z) x))))
1.0ms	(cbrt (cbrt (fma y (sqrt z) x)))

series1.2s

Counts

4 → 12

Calls

4 calls:

310.0ms	(* (cbrt (fma y (sqrt z) x)) (cbrt (fma y (sqrt z) x)))
272.0ms	(* (* (cbrt (* (cbrt (fma y (sqrt z) x)) (cbrt (fma y (sqrt z) x)))) (cbrt (cbrt (fma y (sqrt z) x)))) (cbrt (fma y (sqrt z) x)))
285.0ms	(cbrt (* (cbrt (fma y (sqrt z) x)) (cbrt (fma y (sqrt z) x))))
373.0ms	(cbrt (cbrt (fma y (sqrt z) x)))

simplify1.6s

Counts

106 → 106

Iterations

Iter	Nodes
done	5001
2	2121
1	528
0	206

prune689.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize71.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 104

Calls

4 calls:

21.0ms	(* (cbrt (cbrt (fma y (sqrt z) x))) (cbrt (cbrt (fma y (sqrt z) x))))
2.0ms	(cbrt (cbrt (fma y (sqrt z) x)))
2.0ms	(cbrt (cbrt (fma y (sqrt z) x)))
2.0ms	(cbrt (cbrt (fma y (sqrt z) x)))

series1.3s

Counts

4 → 12

Calls

4 calls:

273.0ms	(* (cbrt (cbrt (fma y (sqrt z) x))) (cbrt (cbrt (fma y (sqrt z) x))))
312.0ms	(cbrt (cbrt (fma y (sqrt z) x)))
383.0ms	(cbrt (cbrt (fma y (sqrt z) x)))
376.0ms	(cbrt (cbrt (fma y (sqrt z) x)))

simplify1.4s

Counts

116 → 116

Iterations

Iter	Nodes
done	5000
2	1217
1	368
0	156

prune729.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0.0b

regimes413.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	10
1	10
0	9

end0.0ms

sample1.8s

Algorithm

intervals

Results

802.0ms	8233×	body	80	nan
497.0ms	8541×	body	80	valid