Details

sample131.0ms

Algorithm

intervals

Results

92.0ms

493×

body

valid

simplify1.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	2001
3	723
2	217
1	67
0	28

prune41.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.3b

localize75.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* c b) (fma 27.0 (* k j) (* (* x 4.0) i)))
0.2b	(fma 27.0 (* k j) (* (* x 4.0) i))
4.4b	(* (* y z) (* x 18.0))
5.0b	(fma (- (* (* y z) (* x 18.0)) (* a 4.0)) t (- (* c b) (fma 27.0 (* k j) (* (* x 4.0) i))))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-log-exp`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`prod-diff` `fma-udef`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `associate-r` `associate-l` `*-commutative` `flip--` `associate--r+`

Counts

4 → 67

Calls

4 calls:

26.0ms	(- (* c b) (fma 27.0 (* k j) (* (* x 4.0) i)))
0.0ms	(fma 27.0 (* k j) (* (* x 4.0) i))
33.0ms	(* (* y z) (* x 18.0))
0.0ms	(fma (- (* (* y z) (* x 18.0)) (* a 4.0)) t (- (* c b) (fma 27.0 (* k j) (* (* x 4.0) i))))

series4.3s

Counts

4 → 12

Calls

4 calls:

165.0ms	(- (* c b) (fma 27.0 (* k j) (* (* x 4.0) i)))
88.0ms	(fma 27.0 (* k j) (* (* x 4.0) i))
72.0ms	(* (* y z) (* x 18.0))
4.0s	(fma (- (* (* y z) (* x 18.0)) (* a 4.0)) t (- (* c b) (fma 27.0 (* k j) (* (* x 4.0) i))))

simplify682.0ms

Counts

79 → 79

Iterations

Iter	Nodes
done	2028
2	1007
1	319
0	141

prune802.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.3b

localize61.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma 27.0 (* k j) (* (* x 4.0) i))
0.2b	(* z (* x 18.0))
4.2b	(* y (* z (* x 18.0)))
5.0b	(fma (- (* y (* z (* x 18.0))) (* a 4.0)) t (- (* c b) (fma 27.0 (* k j) (* (* x 4.0) i))))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `-un-lft-identity` `associate-l*` `add-cube-cbrt`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`associate-r` `*-commutative` `fma-udef`

Counts

4 → 67

Calls

4 calls:

0.0ms	(fma 27.0 (* k j) (* (* x 4.0) i))
27.0ms	(* z (* x 18.0))
65.0ms	(* y (* z (* x 18.0)))
1.0ms	(fma (- (* y (* z (* x 18.0))) (* a 4.0)) t (- (* c b) (fma 27.0 (* k j) (* (* x 4.0) i))))

series3.9s

Counts

4 → 12

Calls

4 calls:

87.0ms	(fma 27.0 (* k j) (* (* x 4.0) i))
49.0ms	(* z (* x 18.0))
41.0ms	(* y (* z (* x 18.0)))
3.7s	(fma (- (* y (* z (* x 18.0))) (* a 4.0)) t (- (* c b) (fma 27.0 (* k j) (* (* x 4.0) i))))

simplify1.1s

Counts

79 → 79

Iterations

Iter	Nodes
done	2000
2	767
1	245
0	117

prune799.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.3b

localize69.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (* x 18.0))
0.3b	(* (* k j) 27.0)
4.2b	(* y (* z (* x 18.0)))
5.0b	(fma (- (* y (* z (* x 18.0))) (* a 4.0)) t (- (* c b) (fma (* i 4.0) x (* (* k j) 27.0))))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `-un-lft-identity` `associate-l*` `add-cube-cbrt`
5×	`associate-r`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
1×	`fma-udef`

Counts

4 → 77

Calls

4 calls:

19.0ms	(* z (* x 18.0))
22.0ms	(* (* k j) 27.0)
51.0ms	(* y (* z (* x 18.0)))
0.0ms	(fma (- (* y (* z (* x 18.0))) (* a 4.0)) t (- (* c b) (fma (* i 4.0) x (* (* k j) 27.0))))

series3.8s

Counts

4 → 12

Calls

4 calls:

22.0ms	(* z (* x 18.0))
34.0ms	(* (* k j) 27.0)
33.0ms	(* y (* z (* x 18.0)))
3.7s	(fma (- (* y (* z (* x 18.0))) (* a 4.0)) t (- (* c b) (fma (* i 4.0) x (* (* k j) 27.0))))

simplify740.0ms

Counts

89 → 89

Iterations

Iter	Nodes
done	2000
2	1026
1	314
0	139

prune790.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.3b

localize49.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (* x 18.0))
0.2b	(* k (* j 27.0))
4.2b	(* y (* z (* x 18.0)))
5.0b	(fma (- (* y (* z (* x 18.0))) (* a 4.0)) t (- (* c b) (fma (* i 4.0) x (* k (* j 27.0)))))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`associate-l`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `*-commutative`
1×	`fma-udef`

Counts

4 → 77

Calls

4 calls:

20.0ms	(* z (* x 18.0))
20.0ms	(* k (* j 27.0))
60.0ms	(* y (* z (* x 18.0)))
0.0ms	(fma (- (* y (* z (* x 18.0))) (* a 4.0)) t (- (* c b) (fma (* i 4.0) x (* k (* j 27.0)))))

series3.7s

Counts

4 → 12

Calls

4 calls:

26.0ms	(* z (* x 18.0))
37.0ms	(* k (* j 27.0))
62.0ms	(* y (* z (* x 18.0)))
3.6s	(fma (- (* y (* z (* x 18.0))) (* a 4.0)) t (- (* c b) (fma (* i 4.0) x (* k (* j 27.0)))))

simplify715.0ms

Counts

89 → 89

Iterations

Iter	Nodes
done	2004
2	1059
1	303
0	136

prune761.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.3b

regimes1.8s

Accuracy

27.7% (2.1b remaining)

Error of 4.3b against oracle of 2.2b and baseline of 5.1b

bsearch429.0ms

Steps

Iters	Range		Point
8	3.664995357129103e-175	1.9164809541328522e-172	1.2057811127525296e-172
7	-1.8697781181548133e-138	-7.1874557969345445e-140	-9.815254673950543e-140

simplify17.0ms

Iterations

Iter	Nodes
done	70
2	70
1	64
0	49

end0.0ms

sample5.5s

Algorithm

intervals

Results

4.0s

16033×

body

valid