Details

sample170.0ms

Algorithm

intervals

Results

127.0ms

493×

body

valid

simplify1.1s

Counts

1 → 1

Iterations

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

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.3b

localize52.0ms

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))))

rewrite51.0ms

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:

8.0ms	(- (* c b) (fma 27.0 (* k j) (* (* x 4.0) i)))
0.0ms	(fma 27.0 (* k j) (* (* x 4.0) i))
40.0ms	(* (* 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))))

series4.0s

Counts

4 → 12

Calls

4 calls:

145.0ms	(- (* c b) (fma 27.0 (* k j) (* (* x 4.0) i)))
84.0ms	(fma 27.0 (* k j) (* (* x 4.0) i))
52.0ms	(* (* 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))))

simplify664.0ms

Counts

79 → 79

Iterations

Iter	Nodes
done	2028
2	1007
1	319
0	141

prune711.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.3b

localize66.0ms

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))))

rewrite66.0ms

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))
13.0ms	(* z (* x 18.0))
51.0ms	(* 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))))

series4.0s

Counts

4 → 12

Calls

4 calls:

96.0ms	(fma 27.0 (* k j) (* (* x 4.0) i))
58.0ms	(* z (* x 18.0))
35.0ms	(* y (* z (* x 18.0)))
3.8s	(fma (- (* y (* z (* x 18.0))) (* a 4.0)) t (- (* c b) (fma 27.0 (* k j) (* (* x 4.0) i))))

simplify688.0ms

Counts

79 → 79

Iterations

Iter	Nodes
done	2000
2	767
1	245
0	117

prune701.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.3b

localize56.0ms

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))))

rewrite455.0ms

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:

370.0ms	(* z (* x 18.0))
25.0ms	(* (* k j) 27.0)
58.0ms	(* y (* z (* x 18.0)))
1.0ms	(fma (- (* y (* z (* x 18.0))) (* a 4.0)) t (- (* c b) (fma (* i 4.0) x (* (* k j) 27.0))))

series3.9s

Counts

4 → 12

Calls

4 calls:

26.0ms	(* z (* x 18.0))
34.0ms	(* (* k j) 27.0)
31.0ms	(* y (* z (* x 18.0)))
3.8s	(fma (- (* y (* z (* x 18.0))) (* a 4.0)) t (- (* c b) (fma (* i 4.0) x (* (* k j) 27.0))))

simplify621.0ms

Counts

89 → 89

Iterations

Iter	Nodes
done	2000
2	1026
1	314
0	139

prune786.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.3b

localize62.0ms

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)))))

rewrite90.0ms

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:

16.0ms	(* z (* x 18.0))
21.0ms	(* k (* j 27.0))
51.0ms	(* y (* z (* x 18.0)))
1.0ms	(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:

28.0ms	(* z (* x 18.0))
29.0ms	(* k (* j 27.0))
52.0ms	(* 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)))))

simplify664.0ms

Counts

89 → 89

Iterations

Iter	Nodes
done	2004
2	1059
1	303
0	136

prune729.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.3b

regimes1.7s

Accuracy

27.7% (2.1b remaining)

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

bsearch451.0ms

Steps

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

simplify35.0ms

Iterations

Iter	Nodes
done	70
2	70
1	64
0	49

end0.0ms

sample6.2s

Algorithm

intervals

Results

5.0s

16033×

body

valid