Details

sample46.0ms

Algorithm

intervals

Results

17.0ms

361×

body

valid

simplify51.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	8	9
1	14	7
2	24	7
3	47	7
4	65	7
done	65	7

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 1 expressions with local error:

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

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 (fma x y z) y t)

series69.0ms

Counts

1 → 3

Calls

1 calls:

69.0ms

(fma (fma x y z) y t)

simplify1.2s

Counts

13 → 13

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	23	129
1	40	124
2	85	106
3	271	106
4	1475	106
done	5002	106

prune43.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

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:

22.0ms	(* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t)))
2.0ms	(cbrt (fma (fma x y z) y t))
2.0ms	(cbrt (fma (fma x y z) y t))
2.0ms	(cbrt (fma (fma x y z) y t))

series1.1s

Counts

4 → 12

Calls

4 calls:

374.0ms	(* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t)))
273.0ms	(cbrt (fma (fma x y z) y t))
246.0ms	(cbrt (fma (fma x y z) y t))
237.0ms	(cbrt (fma (fma x y z) y t))

simplify2.3s

Counts

93 → 93

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	107	1641
1	245	1509
2	670	1368
3	1871	1177
done	5001	1142

prune442.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`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 → 52

Calls

4 calls:

1.0ms	(cbrt (fma (fma x y z) y t))
1.0ms	(cbrt (fma (fma x y z) y t))
1.0ms	(cbrt (fma (fma x y z) y t))
1.0ms	(cbrt (fma (fma x y z) y t))

series934.0ms

Counts

4 → 12

Calls

4 calls:

215.0ms	(cbrt (fma (fma x y z) y t))
257.0ms	(cbrt (fma (fma x y z) y t))
241.0ms	(cbrt (fma (fma x y z) y t))
221.0ms	(cbrt (fma (fma x y z) y t))

simplify4.4s

Counts

64 → 64

Iterations

Useful iterations: done (4.4s)

Iter	Nodes	Cost
0	56	908
1	127	872
2	301	776
3	849	740
4	2506	700
done	5000	696

prune396.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (fma x y z) y t))
0.6b	(cbrt (fma (fma x y z) y t))
0.6b	(cbrt (fma (fma x y z) y t))
1.0b	(pow (cbrt (cbrt (fma (fma x y z) y t))) (+ 4 1))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

2.0ms	(cbrt (fma (fma x y z) y t))
2.0ms	(cbrt (fma (fma x y z) y t))
2.0ms	(cbrt (fma (fma x y z) y t))
18.0ms	(pow (cbrt (cbrt (fma (fma x y z) y t))) (+ 4 1))

series1.2s

Counts

4 → 12

Calls

4 calls:

213.0ms	(cbrt (fma (fma x y z) y t))
195.0ms	(cbrt (fma (fma x y z) y t))
266.0ms	(cbrt (fma (fma x y z) y t))
503.0ms	(pow (cbrt (cbrt (fma (fma x y z) y t))) (+ 4 1))

simplify1.8s

Counts

79 → 79

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	119	1317
1	297	1175
2	688	1057
3	1880	1018
done	5000	985

prune471.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes201.0ms

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	6	7
done	6	7

end0.0ms

sample1.4s

Algorithm

intervals

Results

646.0ms

11434×

body

valid