Details

sample68.0ms

Algorithm

intervals

Results

26.0ms

414×

body

valid

simplify122.0ms

Counts

1 → 1

Iterations

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

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 3 expressions with local error:

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

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

series565.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(fma x y (* z t))
375.0ms	(fma i c (fma a b (fma x y (* z t))))
130.0ms	(fma a b (fma x y (* z t)))

simplify853.0ms

Counts

39 → 39

Iterations

Iter	Nodes
done	5000
3	1026
2	170
1	61
0	46

prune358.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma x y (* z t))) (cbrt (fma x y (* z t))))
1.6b	(cbrt (fma x y (* z t)))
1.6b	(cbrt (fma x y (* z t)))
1.6b	(cbrt (fma x y (* z t)))

rewrite13.0ms

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:

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

series677.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(* (cbrt (fma x y (* z t))) (cbrt (fma x y (* z t))))
139.0ms	(cbrt (fma x y (* z t)))
196.0ms	(cbrt (fma x y (* z t)))
189.0ms	(cbrt (fma x y (* z t)))

simplify4.8s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
3	4624
2	897
1	258
0	104

prune1.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma i c (fma a b (cbrt (pow (fma x y (* z t)) 3))))
0.0b	(fma a b (cbrt (pow (fma x y (* z t)) 3)))
0.3b	(pow (fma x y (* z t)) 3)
33.6b	(cbrt (pow (fma x y (* z t)) 3))

rewrite8.0ms

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 i c (fma a b (cbrt (pow (fma x y (* z t)) 3))))
0.0ms	(fma a b (cbrt (pow (fma x y (* z t)) 3)))
2.0ms	(pow (fma x y (* z t)) 3)
4.0ms	(cbrt (pow (fma x y (* z t)) 3))

series691.0ms

Counts

4 → 12

Calls

4 calls:

331.0ms	(fma i c (fma a b (cbrt (pow (fma x y (* z t)) 3))))
105.0ms	(fma a b (cbrt (pow (fma x y (* z t)) 3)))
193.0ms	(pow (fma x y (* z t)) 3)
61.0ms	(cbrt (pow (fma x y (* z t)) 3))

simplify1.2s

Counts

80 → 80

Iterations

Iter	Nodes
done	5000
2	1342
1	246
0	103

prune610.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma b a (fma i c (fma x y (* z t))))
0.1b	(sqrt (fma b a (fma i c (fma x y (* z t)))))
0.1b	(sqrt (fma b a (fma i c (fma x y (* z t)))))
0.2b	(* (sqrt (fma b a (fma i c (fma x y (* z t))))) (sqrt (fma b a (fma i c (fma x y (* z t))))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`*-un-lft-identity` `add-cube-cbrt`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 91

Calls

4 calls:

0.0ms	(fma b a (fma i c (fma x y (* z t))))
2.0ms	(sqrt (fma b a (fma i c (fma x y (* z t)))))
1.0ms	(sqrt (fma b a (fma i c (fma x y (* z t)))))
18.0ms	(* (sqrt (fma b a (fma i c (fma x y (* z t))))) (sqrt (fma b a (fma i c (fma x y (* z t))))))

series15.9s

Counts

4 → 12

Calls

4 calls:

373.0ms	(fma b a (fma i c (fma x y (* z t))))
7.7s	(sqrt (fma b a (fma i c (fma x y (* z t)))))
7.5s	(sqrt (fma b a (fma i c (fma x y (* z t)))))
323.0ms	(* (sqrt (fma b a (fma i c (fma x y (* z t))))) (sqrt (fma b a (fma i c (fma x y (* z t))))))

simplify434.0ms

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
2	851
1	241
0	110

prune825.0ms

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

sample3.1s

Algorithm

intervals

Results

1.2s

13869×

body

valid