Details

sample42.0ms

Algorithm

intervals

Results

15.0ms

381×

body

valid

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: 4 (65.0ms)

Iter	Nodes	Cost
0	17	17
1	33	16
2	73	16
3	143	16
4	264	15
5	437	15
6	653	15
7	951	15
8	1201	15
9	1301	15
done	1301	15

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c)))

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 (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c)))

series155.0ms

Counts

1 → 3

Calls

1 calls:

155.0ms

(fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c)))

simplify965.0ms

Counts

13 → 13

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	35	228
1	57	226
2	132	196
3	385	196
4	2127	196
done	5000	196

prune50.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c)))) (cbrt (fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c)))))
0.6b	(cbrt (fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c))))
0.6b	(cbrt (fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c))))
0.6b	(cbrt (fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c))))

rewrite16.0ms

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:

11.0ms	(* (cbrt (fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c)))) (cbrt (fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c)))))
1.0ms	(cbrt (fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c))))
1.0ms	(cbrt (fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c))))
1.0ms	(cbrt (fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c))))

series802.0ms

Counts

4 → 12

Calls

4 calls:

304.0ms	(* (cbrt (fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c)))) (cbrt (fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c)))))
168.0ms	(cbrt (fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c))))
165.0ms	(cbrt (fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c))))
165.0ms	(cbrt (fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c))))

simplify914.0ms

Counts

93 → 93

Iterations

Useful iterations: done (911.0ms)

Iter	Nodes	Cost
0	109	2752
1	215	2569
2	552	2338
3	1496	1968
done	5001	1928

prune376.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c)))
0.1b	(pow (fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c))) 3)
46.3b	(cbrt (pow (fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c))) 3))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`expm1-log1p-u` `pow-unpow` `log1p-expm1-u` `add-log-exp`
2×	`cube-mult` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `fma-udef` `rem-cube-cbrt`

Counts

3 → 58

Calls

3 calls:

0.0ms	(fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c)))
3.0ms	(pow (fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c))) 3)
3.0ms	(cbrt (pow (fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c))) 3))

series4.4m

Counts

3 → 9

Calls

3 calls:

166.0ms	(fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c)))
4.4m	(pow (fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c))) 3)
153.0ms	(cbrt (pow (fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c))) 3))

simplify2.4s

Counts

67 → 67

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	98	1672
1	206	1460
2	636	1276
3	3928	1262
done	5000	1260

prune195.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes189.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	15
done	15	15

end0.0ms

sample1.1s

Algorithm

intervals

Results

498.0ms

11909×

body

valid