Details

sample32.0ms

Algorithm

intervals

Results

11.0ms

336×

body

valid

simplify15.0ms

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

prune9.0ms

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×	`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 (/ y z) y x)

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(fma (/ y z) y x)

simplify3.0s

Counts

13 → 13

Iterations

Useful iterations: 2 (10.0ms)

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

prune28.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

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))

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:

15.0ms	(* (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))

series452.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
117.0ms	(cbrt (fma (/ y z) y x))
111.0ms	(cbrt (fma (/ y z) y x))
119.0ms	(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

prune341.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

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

rewrite8.0ms

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)))

series470.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(cbrt (fma (/ y z) y x))
115.0ms	(cbrt (fma (/ y z) y x))
128.0ms	(cbrt (pow (cbrt (fma (/ y z) y x)) 2))
111.0ms	(cbrt (cbrt (fma (/ y z) y x)))

simplify2.6s

Counts

75 → 75

Iterations

Useful iterations: done (2.6s)

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

prune312.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 58

Calls

4 calls:

1.0ms	(cbrt (fma (/ y z) y x))
1.0ms	(cbrt (fma (/ y z) y x))
2.0ms	(cbrt (cbrt (fma (/ y z) y x)))
2.0ms	(cbrt (cbrt (fma (/ y z) y x)))

series501.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(cbrt (fma (/ y z) y x))
122.0ms	(cbrt (fma (/ y z) y x))
141.0ms	(cbrt (cbrt (fma (/ y z) y x)))
139.0ms	(cbrt (cbrt (fma (/ y z) y x)))

simplify4.0s

Counts

70 → 70

Iterations

Useful iterations: 5 (3.0s)

Iter	Nodes	Cost
0	61	862
1	104	844
2	215	784
3	591	756
4	1645	720
5	4529	688
done	5000	688

prune264.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes305.0ms

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

sample667.0ms

Algorithm

intervals

Results

273.0ms

10635×

body

valid