Details

sample100.0ms

Algorithm

intervals

Results

38.0ms

424×

body

valid

simplify110.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	156
5	156
4	154
3	118
2	62
1	27
0	15

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma a b (fma x y (* z t)))
0.0b	(fma i c (fma a b (fma x y (* z t))))
0.0b	(fma x y (* z t))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`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

3 → 30

Calls

3 calls:

0.0ms	(fma a b (fma x y (* z t)))
1.0ms	(fma i c (fma a b (fma x y (* z t))))
1.0ms	(fma x y (* z t))

series508.0ms

Counts

3 → 9

Calls

3 calls:

119.0ms	(fma a b (fma x y (* z t)))
334.0ms	(fma i c (fma a b (fma x y (* z t))))
55.0ms	(fma x y (* z t))

simplify727.0ms

Counts

39 → 39

Iterations

Iter	Nodes
done	5001
3	1028
2	179
1	61
0	46

prune341.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

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:

17.0ms	(* (cbrt (fma a b (fma x y (* z t)))) (cbrt (fma a b (fma x y (* z t)))))
9.0ms	(cbrt (fma a b (fma x y (* z t))))
1.0ms	(cbrt (fma a b (fma x y (* z t))))
1.0ms	(cbrt (fma a b (fma x y (* z t))))

series872.0ms

Counts

4 → 12

Calls

4 calls:

306.0ms	(* (cbrt (fma a b (fma x y (* z t)))) (cbrt (fma a b (fma x y (* z t)))))
188.0ms	(cbrt (fma a b (fma x y (* z t))))
183.0ms	(cbrt (fma a b (fma x y (* z t))))
194.0ms	(cbrt (fma a b (fma x y (* z t))))

simplify2.8s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
3	4103
2	832
1	255
0	104

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize90.0ms

Local error

Found 4 expressions with local error:

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

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`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 → 52

Calls

4 calls:

1.0ms	(cbrt (fma a b (fma x y (* z t))))
1.0ms	(cbrt (fma b a (fma x y (* z t))))
1.0ms	(cbrt (fma b a (fma x y (* z t))))
1.0ms	(cbrt (fma b a (fma x y (* z t))))

series767.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(cbrt (fma a b (fma x y (* z t))))
212.0ms	(cbrt (fma b a (fma x y (* z t))))
182.0ms	(cbrt (fma b a (fma x y (* z t))))
180.0ms	(cbrt (fma b a (fma x y (* z t))))

simplify1.0s

Counts

64 → 64

Iterations

Iter	Nodes
done	5001
4	1726
3	468
2	205
1	110
0	60

prune803.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x y (* z t))
0.0b	(fma i c (fma a b (cbrt (pow (fma x y (* z t)) 3))))
0.4b	(pow (fma x y (* z t)) 3)
34.1b	(cbrt (pow (fma x y (* z t)) 3))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

0.0ms	(fma x y (* z t))
0.0ms	(fma i c (fma a b (cbrt (pow (fma x y (* z t)) 3))))
4.0ms	(pow (fma x y (* z t)) 3)
4.0ms	(cbrt (pow (fma x y (* z t)) 3))

series724.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(fma x y (* z t))
360.0ms	(fma i c (fma a b (cbrt (pow (fma x y (* z t)) 3))))
226.0ms	(pow (fma x y (* z t)) 3)
75.0ms	(cbrt (pow (fma x y (* z t)) 3))

simplify1.6s

Counts

80 → 80

Iterations

Iter	Nodes
done	5001
2	1387
1	242
0	98

prune605.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes1.1s

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	13
1	13
0	12

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.1s

13477×

body

valid