Details

sample42.0ms

Algorithm

intervals

Results

19.0ms

371×

body

valid

simplify47.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	8	164
1	14	114
2	24	114
3	49	114
4	71	114
done	71	114

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

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×	`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 (fma x y z) y t)

series101.0ms

Counts

1 → 3

Calls

1 calls:

101.0ms

(fma (fma x y z) y t)

simplify2.8s

Counts

13 → 13

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	23	2617
1	40	2225
2	88	2070
3	361	2070
4	1703	2070
done	5014	2070

prune84.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

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))

rewrite25.0ms

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:

18.0ms	(* (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))
2.0ms	(cbrt (fma (fma x y z) y t))

series944.0ms

Counts

4 → 12

Calls

4 calls:

293.0ms	(* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t)))
234.0ms	(cbrt (fma (fma x y z) y t))
182.0ms	(cbrt (fma (fma x y z) y t))
235.0ms	(cbrt (fma (fma x y z) y t))

simplify2.8s

Counts

93 → 93

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	107	32725
1	265	29142
2	750	28855
3	2411	27524
done	5000	27226

prune523.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize52.0ms

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
9×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `add-log-exp`

Counts

4 → 55

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

series737.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(cbrt (fma (fma x y z) y t))
198.0ms	(cbrt (fma (fma x y z) y t))
169.0ms	(cbrt (fma (fma x y z) y t))
177.0ms	(cbrt (cbrt (fma (fma x y z) y t)))

simplify2.1s

Counts

67 → 67

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	86	26468
1	196	23895
2	513	23284
3	1739	21918
done	5000	21654

prune607.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize159.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
12×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `add-log-exp`

Counts

4 → 64

Calls

4 calls:

2.0ms	(cbrt (cbrt (fma (fma x y z) y t)))
2.0ms	(cbrt (cbrt (fma (fma x y z) y t)))
2.0ms	(cbrt (cbrt (fma (fma x y z) y t)))
3.0ms	(cbrt (cbrt (fma (fma x y z) y t)))

series953.0ms

Counts

4 → 12

Calls

4 calls:

242.0ms	(cbrt (cbrt (fma (fma x y z) y t)))
250.0ms	(cbrt (cbrt (fma (fma x y z) y t)))
214.0ms	(cbrt (cbrt (fma (fma x y z) y t)))
246.0ms	(cbrt (cbrt (fma (fma x y z) y t)))

simplify3.7s

Counts

76 → 76

Iterations

Useful iterations: 4 (2.0s)

Iter	Nodes	Cost
0	65	35264
1	135	33456
2	323	32936
3	1054	31176
4	3556	30812
done	5005	30812

prune679.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes423.0ms

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	114
done	6	114

end0.0ms

sample1.1s

Algorithm

intervals

Results

614.0ms

11281×

body

valid