Details

sample34.0ms

Algorithm

intervals

Results

8.0ms	286×	body	80	nan
8.0ms	268×	body	80	valid

simplify3.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	1646
6	498
5	161
4	71
3	43
2	25
1	13
0	7

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma y (sqrt x) 1.0)

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:

1.0ms

(fma y (sqrt x) 1.0)

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

(fma y (sqrt x) 1.0)

simplify2.2s

Counts

13 → 13

Iterations

Iter	Nodes
done	5000
4	4566
3	673
2	189
1	71
0	31

prune89.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (fma (sqrt x) y 1.0))
0.2b	(cbrt (fma (sqrt x) y 1.0))
0.2b	(cbrt (fma (sqrt x) y 1.0))
0.2b	(* (cbrt (fma (sqrt x) y 1.0)) (cbrt (fma (sqrt x) y 1.0)))

rewrite17.0ms

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:

1.0ms	(cbrt (fma (sqrt x) y 1.0))
1.0ms	(cbrt (fma (sqrt x) y 1.0))
1.0ms	(cbrt (fma (sqrt x) y 1.0))
12.0ms	(* (cbrt (fma (sqrt x) y 1.0)) (cbrt (fma (sqrt x) y 1.0)))

series906.0ms

Counts

4 → 12

Calls

4 calls:

224.0ms	(cbrt (fma (sqrt x) y 1.0))
204.0ms	(cbrt (fma (sqrt x) y 1.0))
234.0ms	(cbrt (fma (sqrt x) y 1.0))
243.0ms	(* (cbrt (fma (sqrt x) y 1.0)) (cbrt (fma (sqrt x) y 1.0)))

simplify756.0ms

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	1014
1	302
0	120

prune676.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize106.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (cbrt (fma (sqrt x) y 1.0)))
0.2b	(cbrt (cbrt (fma y (sqrt x) 1.0)))
0.2b	(cbrt (cbrt (fma y (sqrt x) 1.0)))
0.5b	(pow (cbrt (cbrt (fma y (sqrt x) 1.0))) (+ 3 1))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

2.0ms	(cbrt (cbrt (fma (sqrt x) y 1.0)))
2.0ms	(cbrt (cbrt (fma y (sqrt x) 1.0)))
2.0ms	(cbrt (cbrt (fma y (sqrt x) 1.0)))
11.0ms	(pow (cbrt (cbrt (fma y (sqrt x) 1.0))) (+ 3 1))

series960.0ms

Counts

4 → 12

Calls

4 calls:

227.0ms	(cbrt (cbrt (fma (sqrt x) y 1.0)))
219.0ms	(cbrt (cbrt (fma y (sqrt x) 1.0)))
196.0ms	(cbrt (cbrt (fma y (sqrt x) 1.0)))
318.0ms	(pow (cbrt (cbrt (fma y (sqrt x) 1.0))) (+ 3 1))

simplify803.0ms

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
2	1569
1	480
0	177

prune868.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize165.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (cbrt (pow (cbrt (cbrt (fma (sqrt x) y 1.0))) 6)))
0.4b	(pow (cbrt (cbrt (cbrt (fma (sqrt x) y 1.0)))) 4)
0.4b	(pow (cbrt (cbrt (pow (cbrt (cbrt (fma (sqrt x) y 1.0))) 6))) 4)
0.6b	(pow (cbrt (cbrt (fma (sqrt x) y 1.0))) 6)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
58×	`unpow-prod-down`
25×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`pow-unpow`
7×	`pow1` `add-exp-log`
6×	`pow-pow`
5×	`sqr-pow`
4×	`expm1-log1p-u` `add-cbrt-cube` `pow1/3` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp` `pow-exp`

Counts

4 → 117

Calls

4 calls:

4.0ms	(cbrt (cbrt (pow (cbrt (cbrt (fma (sqrt x) y 1.0))) 6)))
5.0ms	(pow (cbrt (cbrt (cbrt (fma (sqrt x) y 1.0)))) 4)
9.0ms	(pow (cbrt (cbrt (pow (cbrt (cbrt (fma (sqrt x) y 1.0))) 6))) 4)
3.0ms	(pow (cbrt (cbrt (fma (sqrt x) y 1.0))) 6)

series1.7s

Counts

4 → 12

Calls

4 calls:

246.0ms	(cbrt (cbrt (pow (cbrt (cbrt (fma (sqrt x) y 1.0))) 6)))
401.0ms	(pow (cbrt (cbrt (cbrt (fma (sqrt x) y 1.0)))) 4)
659.0ms	(pow (cbrt (cbrt (pow (cbrt (cbrt (fma (sqrt x) y 1.0))) 6))) 4)
402.0ms	(pow (cbrt (cbrt (fma (sqrt x) y 1.0))) 6)

simplify1.2s

Counts

129 → 129

Iterations

Iter	Nodes
done	5002
2	2736
1	887
0	312

prune1.4s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes228.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
0	6

end0.0ms

sample1.8s

Algorithm

intervals

Results

863.0ms	8462×	body	80	nan
482.0ms	8553×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid