Details

sample42.0ms

Algorithm

intervals

Results

17.0ms

332×

body

valid

simplify16.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (9.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
2	11	7
3	13	6
4	14	6
done	14	6

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 1 expressions with local error:

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

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(fma (/ y z) y x)

simplify3.5s

Counts

13 → 13

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	19	110
1	27	107
2	60	95
3	169	95
4	537	95
5	2074	95
done	5001	95

prune42.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

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 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))

series492.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
118.0ms	(cbrt (fma (/ y z) y x))
140.0ms	(cbrt (fma (/ y z) y x))
120.0ms	(cbrt (fma (/ y z) y x))

simplify2.5s

Counts

93 → 93

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	85	1375
1	156	1271
2	389	1169
3	1012	1013
4	2892	987
done	5000	922

prune328.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (/ y z) y x))
0.6b	(cbrt (fma (/ y z) y x))
0.6b	(cbrt (pow (cbrt (fma (/ y z) y x)) 2))
0.7b	(cbrt (cbrt (fma (/ y z) y x)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

29×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`unpow2` `sqr-pow`

Counts

4 → 63

Calls

4 calls:

1.0ms	(cbrt (fma (/ y z) y x))
1.0ms	(cbrt (fma (/ y z) y x))
3.0ms	(cbrt (pow (cbrt (fma (/ y z) y x)) 2))
2.0ms	(cbrt (cbrt (fma (/ y z) y x)))

series469.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(cbrt (fma (/ y z) y x))
108.0ms	(cbrt (fma (/ y z) y x))
110.0ms	(cbrt (pow (cbrt (fma (/ y z) y x)) 2))
114.0ms	(cbrt (cbrt (fma (/ y z) y x)))

simplify2.5s

Counts

75 → 75

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	105	1018
1	190	902
2	390	848
3	1053	820
4	3969	803
done	5001	797

prune317.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (/ y z) y x))
0.6b	(cbrt (fma (/ y z) y x))
0.6b	(cbrt (pow (cbrt (fma (/ y z) y x)) 2))
0.7b	(cbrt (cbrt (fma (/ y z) y x)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

29×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`unpow2` `sqr-pow`

Counts

4 → 63

Calls

4 calls:

1.0ms	(cbrt (fma (/ y z) y x))
1.0ms	(cbrt (fma (/ y z) y x))
5.0ms	(cbrt (pow (cbrt (fma (/ y z) y x)) 2))
2.0ms	(cbrt (cbrt (fma (/ y z) y x)))

series510.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(cbrt (fma (/ y z) y x))
135.0ms	(cbrt (fma (/ y z) y x))
121.0ms	(cbrt (pow (cbrt (fma (/ y z) y x)) 2))
133.0ms	(cbrt (cbrt (fma (/ y z) y x)))

simplify2.4s

Counts

75 → 75

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	105	1018
1	190	902
2	390	848
3	1053	820
4	3969	803
done	5001	797

prune274.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes235.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
done	5	6

end0.0ms

sample1.3s

Algorithm

intervals

Results

446.0ms

10684×

body

valid