Details

sample35.0ms

Algorithm

intervals

Results

16.0ms

351×

body

valid

simplify64.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	8	9
1	14	7
2	24	7
3	49	7
4	81	7
5	89	7
done	89	7

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b	(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:

1.0ms

(fma (fma x y z) y t)

series97.0ms

Counts

1 → 3

Calls

1 calls:

97.0ms

(fma (fma x y z) y t)

simplify2.6s

Counts

13 → 13

Iterations

Useful iterations: 4 (505.0ms)

Iter	Nodes	Cost
0	23	129
1	40	124
2	105	110
3	391	108
4	3054	106
done	5000	106

prune63.0ms

Pruning

4 alts after pruning (3 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)) (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))

rewrite29.0ms

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)))
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))

series958.0ms

Counts

4 → 12

Calls

4 calls:

286.0ms	(* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t)))
232.0ms	(cbrt (fma (fma x y z) y t))
236.0ms	(cbrt (fma (fma x y z) y t))
203.0ms	(cbrt (fma (fma x y z) y t))

simplify869.0ms

Counts

93 → 93

Iterations

Useful iterations: done (865.0ms)

Iter	Nodes	Cost
0	107	1641
1	268	1509
2	928	1368
done	5000	1232

prune419.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize44.0ms

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))) (+ 3 1))

rewrite22.0ms

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:

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))
15.0ms	(pow (cbrt (cbrt (fma (fma x y z) y t))) (+ 3 1))

series1.0s

Counts

4 → 12

Calls

4 calls:

187.0ms	(cbrt (fma (fma x y z) y t))
192.0ms	(cbrt (fma (fma x y z) y t))
224.0ms	(cbrt (fma (fma x y z) y t))
415.0ms	(pow (cbrt (cbrt (fma (fma x y z) y t))) (+ 3 1))

simplify748.0ms

Counts

79 → 79

Iterations

Useful iterations: done (746.0ms)

Iter	Nodes	Cost
0	120	1317
1	347	1173
2	1149	1020
done	5000	983

prune468.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize22.0ms

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))

rewrite11.0ms

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))
7.0ms	(cbrt (fma (fma x y z) y t))

series876.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(cbrt (fma (fma x y z) y t))
212.0ms	(cbrt (fma (fma x y z) y t))
235.0ms	(cbrt (fma (fma x y z) y t))
229.0ms	(cbrt (fma (fma x y z) y t))

simplify953.0ms

Counts

64 → 64

Iterations

Useful iterations: done (950.0ms)

Iter	Nodes	Cost
0	56	908
1	127	872
2	336	776
3	1274	740
done	5001	708

prune353.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes164.0ms

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

sample1.6s

Algorithm

intervals

Results

497.0ms

11378×

body

valid