Details

sample88.0ms

Algorithm

intervals

Results

31.0ms

460×

body

valid

simplify113.0ms

Counts

1 → 1

Iterations

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

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 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))))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`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

2 → 20

Calls

2 calls:

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

series491.0ms

Counts

2 → 6

Calls

2 calls:

109.0ms	(fma a b (fma x y (* z t)))
382.0ms	(fma i c (fma a b (fma x y (* z t))))

simplify1.6s

Counts

26 → 26

Iterations

Iter	Nodes
done	5001
3	910
2	150
1	53
0	37

prune240.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite1.0ms

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

series483.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(fma y x (* a b))
102.0ms	(fma z t (fma y x (* a b)))
322.0ms	(fma i c (fma z t (fma y x (* a b))))

simplify1.3s

Counts

39 → 39

Iterations

Iter	Nodes
done	5002
3	809
2	167
1	64
0	48

prune450.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize68.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

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:

19.0ms	(* (cbrt (fma i c (fma a b (fma x y (* z t))))) (cbrt (fma i c (fma a b (fma x y (* z t))))))
1.0ms	(cbrt (fma i c (fma a b (fma x y (* z t)))))
1.0ms	(cbrt (fma i c (fma a b (fma x y (* z t)))))
2.0ms	(cbrt (fma i c (fma a b (fma x y (* z t)))))

series822.0ms

Counts

4 → 12

Calls

4 calls:

232.0ms	(* (cbrt (fma i c (fma a b (fma x y (* z t))))) (cbrt (fma i c (fma a b (fma x y (* z t))))))
198.0ms	(cbrt (fma i c (fma a b (fma x y (* z t)))))
176.0ms	(cbrt (fma i c (fma a b (fma x y (* z t)))))
215.0ms	(cbrt (fma i c (fma a b (fma x y (* z t)))))

simplify3.8s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
3	4088
2	722
1	223
0	95

prune1.0s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma i c (fma z t (fma y x (* a b))))
0.1b	(sqrt (fma i c (fma z t (fma y x (* a b)))))
0.1b	(sqrt (fma i c (fma z t (fma y x (* a b)))))
0.3b	(* (sqrt (fma i c (fma z t (fma y x (* a b))))) (sqrt (fma i c (fma z t (fma y x (* a b))))))

rewrite22.0ms

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 i c (fma z t (fma y x (* a b))))
2.0ms	(sqrt (fma i c (fma z t (fma y x (* a b)))))
1.0ms	(sqrt (fma i c (fma z t (fma y x (* a b)))))
17.0ms	(* (sqrt (fma i c (fma z t (fma y x (* a b))))) (sqrt (fma i c (fma z t (fma y x (* a b))))))

series12.5s

Counts

4 → 12

Calls

4 calls:

291.0ms	(fma i c (fma z t (fma y x (* a b))))
5.7s	(sqrt (fma i c (fma z t (fma y x (* a b)))))
6.2s	(sqrt (fma i c (fma z t (fma y x (* a b)))))
319.0ms	(* (sqrt (fma i c (fma z t (fma y x (* a b))))) (sqrt (fma i c (fma z t (fma y x (* a b))))))

simplify1.1s

Counts

103 → 103

Iterations

Iter	Nodes
done	5001
2	862
1	241
0	109

prune693.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes1.3s

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

sample2.7s

Algorithm

intervals

Results

989.0ms

13954×

body

valid