Details

sample32.0ms

Algorithm

intervals

Results

10.0ms	306×	body	80	valid
1.0ms	7×	body	640	valid
1.0ms	5×	body	1280	valid
0.0ms	4×	body	320	valid

simplify40.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	8	9
1	19	8
2	34	8
3	50	8
4	60	8
5	61	8
done	61	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma x (+ y z) (* z 5.0))

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 x (+ y z) (* z 5.0))

series39.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(fma x (+ y z) (* z 5.0))

simplify1.3s

Counts

13 → 13

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	22	146
1	36	140
2	69	121
3	265	121
4	1668	121
done	5000	121

prune61.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma x (+ y z) (* z 5.0))) (cbrt (fma x (+ y z) (* z 5.0))))
0.5b	(cbrt (fma x (+ y z) (* z 5.0)))
0.5b	(cbrt (fma x (+ y z) (* z 5.0)))
0.5b	(cbrt (fma x (+ y z) (* z 5.0)))

rewrite21.0ms

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:

16.0ms	(* (cbrt (fma x (+ y z) (* z 5.0))) (cbrt (fma x (+ y z) (* z 5.0))))
1.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
1.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
1.0ms	(cbrt (fma x (+ y z) (* z 5.0)))

series1.0s

Counts

4 → 12

Calls

4 calls:

361.0ms	(* (cbrt (fma x (+ y z) (* z 5.0))) (cbrt (fma x (+ y z) (* z 5.0))))
217.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
236.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
209.0ms	(cbrt (fma x (+ y z) (* z 5.0)))

simplify1.4s

Counts

93 → 93

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	108	1792
1	245	1664
2	621	1503
3	1695	1268
done	5000	1229

prune398.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma x (+ y z) (* z 5.0)))
0.6b	(cbrt (cbrt (fma x (+ y z) (* z 5.0))))
0.6b	(cbrt (cbrt (fma x (+ y z) (* z 5.0))))
0.6b	(cbrt (cbrt (fma x (+ y z) (* z 5.0))))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
11×	`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 → 61

Calls

4 calls:

1.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
1.0ms	(cbrt (cbrt (fma x (+ y z) (* z 5.0))))
2.0ms	(cbrt (cbrt (fma x (+ y z) (* z 5.0))))
3.0ms	(cbrt (cbrt (fma x (+ y z) (* z 5.0))))

series906.0ms

Counts

4 → 12

Calls

4 calls:

217.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
203.0ms	(cbrt (cbrt (fma x (+ y z) (* z 5.0))))
243.0ms	(cbrt (cbrt (fma x (+ y z) (* z 5.0))))
243.0ms	(cbrt (cbrt (fma x (+ y z) (* z 5.0))))

simplify2.6s

Counts

73 → 73

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	83	1219
1	187	1200
2	415	1109
3	1103	1049
4	3170	977
done	5001	964

prune337.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x (+ y z) (* z 5.0))
0.1b	(sqrt (fma x (+ y z) (* z 5.0)))
0.1b	(sqrt (fma x (+ y z) (* z 5.0)))
0.2b	(* (sqrt (fma x (+ y z) (* z 5.0))) (sqrt (fma x (+ y z) (* z 5.0))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 91

Calls

4 calls:

0.0ms	(fma x (+ y z) (* z 5.0))
2.0ms	(sqrt (fma x (+ y z) (* z 5.0)))
2.0ms	(sqrt (fma x (+ y z) (* z 5.0)))
22.0ms	(* (sqrt (fma x (+ y z) (* z 5.0))) (sqrt (fma x (+ y z) (* z 5.0))))

series420.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(fma x (+ y z) (* z 5.0))
168.0ms	(sqrt (fma x (+ y z) (* z 5.0)))
168.0ms	(sqrt (fma x (+ y z) (* z 5.0)))
44.0ms	(* (sqrt (fma x (+ y z) (* z 5.0))) (sqrt (fma x (+ y z) (* z 5.0))))

simplify1.4s

Counts

103 → 103

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	94	1850
1	191	1271
2	489	1139
3	1563	1082
done	5002	1046

prune376.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes163.0ms

Accuracy

0% (0.0b 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	7	8
1	9	8
done	9	8

end0.0ms

sample699.0ms

Algorithm

intervals

Results

271.0ms	9713×	body	80	valid
17.0ms	127×	body	640	valid
14.0ms	109×	body	1280	valid
6.0ms	80×	body	320	valid
1.0ms	27×	body	160	valid