Details

sample52.0ms

Algorithm

intervals

Results

26.0ms

460×

body

valid

simplify93.0ms

Counts

1 → 1

Iterations

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

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

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))))

series407.0ms

Counts

2 → 6

Calls

2 calls:

105.0ms	(fma a b (fma x y (* z t)))
302.0ms	(fma i c (fma a b (fma x y (* z t))))

simplify660.0ms

Counts

26 → 26

Iterations

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

prune212.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

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))))

series458.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(fma y x (* a b))
102.0ms	(fma z t (fma y x (* a b)))
295.0ms	(fma i c (fma z t (fma y x (* a b))))

simplify586.0ms

Counts

39 → 39

Iterations

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

prune400.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

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

series741.0ms

Counts

4 → 12

Calls

4 calls:

254.0ms	(* (cbrt (fma c i (fma a b (fma t z (* y x))))) (cbrt (fma c i (fma a b (fma t z (* y x))))))
156.0ms	(cbrt (fma c i (fma a b (fma t z (* y x)))))
174.0ms	(cbrt (fma c i (fma a b (fma t z (* y x)))))
157.0ms	(cbrt (fma c i (fma a b (fma t z (* y x)))))

simplify3.5s

Counts

93 → 93

Iterations

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

prune810.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize52.0ms

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))))))

rewrite25.0ms

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)))))
2.0ms	(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))))))

series11.7s

Counts

4 → 12

Calls

4 calls:

318.0ms	(fma i c (fma z t (fma y x (* a b))))
5.6s	(sqrt (fma i c (fma z t (fma y x (* a b)))))
5.5s	(sqrt (fma i c (fma z t (fma y x (* a b)))))
281.0ms	(* (sqrt (fma i c (fma z t (fma y x (* a b))))) (sqrt (fma i c (fma z t (fma y x (* a b))))))

simplify555.0ms

Counts

103 → 103

Iterations

Iter	Nodes
done	5001
2	862
1	241
0	109

prune777.0ms

Pruning

5 alts after pruning (2 fresh and 3 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

sample1.9s

Algorithm

intervals

Results

854.0ms

13954×

body

valid