Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

354×

body

valid

simplify10.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (3.0ms)

Iter	Nodes	Cost
0	6	7
1	11	7
2	15	6
3	16	6
done	16	6

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite3.0ms

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:

2.0ms

(fma (* y z) z x)

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

(fma (* y z) z x)

simplify3.8s

Counts

13 → 13

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	19	104
1	32	102
2	75	90
3	205	90
4	777	90
5	4474	90
done	5000	90

prune35.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

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:

6.0ms	(* (cbrt (fma (* y z) z x)) (cbrt (fma (* y z) z x)))
0.0ms	(cbrt (fma (* y z) z x))
0.0ms	(cbrt (fma (* y z) z x))
1.0ms	(cbrt (fma (* y z) z x))

series700.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(* (cbrt (fma (* y z) z x)) (cbrt (fma (* y z) z x)))
168.0ms	(cbrt (fma (* y z) z x))
165.0ms	(cbrt (fma (* y z) z x))
172.0ms	(cbrt (fma (* y z) z x))

simplify2.0s

Counts

93 → 93

Iterations

Useful iterations: 3 (419.0ms)

Iter	Nodes	Cost
0	99	1437
1	220	1325
2	785	1215
3	3546	1068
done	5000	1068

prune241.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (* y z) z x))
0.6b	(cbrt (fma (* y z) z x))
0.6b	(cbrt (fma (* y z) z x))
0.8b	(pow (cbrt (cbrt (fma (* y z) z x))) 4)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 65

Calls

4 calls:

0.0ms	(cbrt (fma (* y z) z x))
0.0ms	(cbrt (fma (* y z) z x))
1.0ms	(cbrt (fma (* y z) z x))
3.0ms	(pow (cbrt (cbrt (fma (* y z) z x))) 4)

series767.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt (fma (* y z) z x))
174.0ms	(cbrt (fma (* y z) z x))
169.0ms	(cbrt (fma (* y z) z x))
250.0ms	(pow (cbrt (cbrt (fma (* y z) z x))) 4)

simplify2.0s

Counts

77 → 77

Iterations

Useful iterations: 3 (425.0ms)

Iter	Nodes	Cost
0	109	1059
1	249	1007
2	720	910
3	3171	892
done	5000	892

prune274.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (* y z) z x))
0.6b	(cbrt (fma (* y z) z x))
0.6b	(cbrt (fma (* y z) z x))
0.8b	(pow (cbrt (* (cbrt (* (cbrt (fma (* y z) z x)) (cbrt (fma (* y z) z x)))) (cbrt (cbrt (fma (* y z) z x))))) 4)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 60

Calls

4 calls:

0.0ms	(cbrt (fma (* y z) z x))
1.0ms	(cbrt (fma (* y z) z x))
0.0ms	(cbrt (fma (* y z) z x))
3.0ms	(pow (cbrt (* (cbrt (* (cbrt (fma (* y z) z x)) (cbrt (fma (* y z) z x)))) (cbrt (cbrt (fma (* y z) z x))))) 4)

series756.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(cbrt (fma (* y z) z x))
169.0ms	(cbrt (fma (* y z) z x))
171.0ms	(cbrt (fma (* y z) z x))
245.0ms	(pow (cbrt (* (cbrt (* (cbrt (fma (* y z) z x)) (cbrt (fma (* y z) z x)))) (cbrt (cbrt (fma (* y z) z x))))) 4)

simplify1.7s

Counts

72 → 72

Iterations

Useful iterations: 3 (380.0ms)

Iter	Nodes	Cost
0	104	1405
1	237	1337
2	685	1237
3	3079	1219
done	5000	1219

prune281.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes111.0ms

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
1	6	6
done	6	6

end0.0ms

sample413.0ms

Algorithm

intervals

Results

206.0ms

10612×

body

valid