Details

sample36.0ms

Algorithm

intervals

Results

14.0ms

352×

body

valid

simplify10.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	14
4	14
3	13
2	11
1	9
0	6

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (/ y z) y 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 z) y x)

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

(fma (/ y z) y x)

simplify2.3s

Counts

13 → 13

Iterations

Iter	Nodes
done	5000
4	3265
3	328
2	78
1	28
0	19

prune76.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

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:

9.0ms	(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
1.0ms	(cbrt (fma (/ y z) y x))
1.0ms	(cbrt (fma (/ y z) y x))
1.0ms	(cbrt (fma (/ y z) y x))

series446.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
126.0ms	(cbrt (fma (/ y z) y x))
98.0ms	(cbrt (fma (/ y z) y x))
97.0ms	(cbrt (fma (/ y z) y x))

simplify3.9s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
3	3781
2	578
1	174
0	85

prune553.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize74.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

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:

25.0ms	(* (cbrt (cbrt (fma (/ y z) y x))) (cbrt (cbrt (fma (/ y z) y x))))
2.0ms	(cbrt (cbrt (fma (/ y z) y x)))
2.0ms	(cbrt (cbrt (fma (/ y z) y x)))
2.0ms	(cbrt (cbrt (fma (/ y z) y x)))

series478.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(* (cbrt (cbrt (fma (/ y z) y x))) (cbrt (cbrt (fma (/ y z) y x))))
108.0ms	(cbrt (cbrt (fma (/ y z) y x)))
111.0ms	(cbrt (cbrt (fma (/ y z) y x)))
129.0ms	(cbrt (cbrt (fma (/ y z) y x)))

simplify2.7s

Counts

116 → 116

Iterations

Iter	Nodes
done	5000
3	3267
2	613
1	197
0	104

prune747.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize144.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt (fma (/ y z) y x)))
0.6b	(cbrt (cbrt (fma (/ y z) y x)))
0.6b	(cbrt (cbrt (fma (/ y z) y x)))
0.9b	(pow (cbrt (cbrt (cbrt (fma (/ y z) y x)))) 4)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

45×	`cbrt-prod`
15×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `pow1/3` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 77

Calls

4 calls:

2.0ms	(cbrt (cbrt (fma (/ y z) y x)))
2.0ms	(cbrt (cbrt (fma (/ y z) y x)))
2.0ms	(cbrt (cbrt (fma (/ y z) y x)))
9.0ms	(pow (cbrt (cbrt (cbrt (fma (/ y z) y x)))) 4)

series650.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(cbrt (cbrt (fma (/ y z) y x)))
168.0ms	(cbrt (cbrt (fma (/ y z) y x)))
163.0ms	(cbrt (cbrt (fma (/ y z) y x)))
162.0ms	(pow (cbrt (cbrt (cbrt (fma (/ y z) y x)))) 4)

simplify1.7s

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
3	3256
2	719
1	255
0	106

prune575.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes504.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	5
0	5

end0.0ms

sample897.0ms

Algorithm

intervals

Results

460.0ms

10686×

body

valid