Details

sample215.0ms

Algorithm

intervals

Results

151.0ms

509×

body

valid

simplify1.8s

Counts

1 → 1

Iterations

Iter	Nodes
4	2295
3	723
2	217
1	67
0	28

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.7b

localize48.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma 27.0 (* k j) (* (* x 4.0) i))
0.2b	(* (* x 4.0) i)
4.5b	(fma (- (* (* y z) (* x 18.0)) (* a 4.0)) t (- (* c b) (fma 27.0 (* k j) (* (* x 4.0) i))))
5.0b	(* (* y z) (* x 18.0))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

0.0ms	(fma 27.0 (* k j) (* (* x 4.0) i))
14.0ms	(* (* x 4.0) i)
0.0ms	(fma (- (* (* y z) (* x 18.0)) (* a 4.0)) t (- (* c b) (fma 27.0 (* k j) (* (* x 4.0) i))))
45.0ms	(* (* y z) (* x 18.0))

series4.2s

Counts

4 → 12

Calls

4 calls:

85.0ms	(fma 27.0 (* k j) (* (* x 4.0) i))
43.0ms	(* (* x 4.0) i)
4.0s	(fma (- (* (* y z) (* x 18.0)) (* a 4.0)) t (- (* c b) (fma 27.0 (* k j) (* (* x 4.0) i))))
39.0ms	(* (* y z) (* x 18.0))

simplify1.8s

Counts

80 → 80

Iterations

Iter	Nodes
3	4697
2	1092
1	307
0	133

prune1.6s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 2.7b

localize51.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* c b) (fma (* x i) 4.0 (* j (* k 27.0))))
0.7b	(* j (* k 27.0))
4.5b	(fma (- (* (* y z) (* x 18.0)) (* a 4.0)) t (- (* c b) (fma (* x i) 4.0 (* j (* k 27.0)))))
5.0b	(* (* y z) (* x 18.0))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

8.0ms	(- (* c b) (fma (* x i) 4.0 (* j (* k 27.0))))
13.0ms	(* j (* k 27.0))
0.0ms	(fma (- (* (* y z) (* x 18.0)) (* a 4.0)) t (- (* c b) (fma (* x i) 4.0 (* j (* k 27.0)))))
36.0ms	(* (* y z) (* x 18.0))

series3.9s

Counts

4 → 12

Calls

4 calls:

149.0ms	(- (* c b) (fma (* x i) 4.0 (* j (* k 27.0))))
34.0ms	(* j (* k 27.0))
3.7s	(fma (- (* (* y z) (* x 18.0)) (* a 4.0)) t (- (* c b) (fma (* x i) 4.0 (* j (* k 27.0)))))
45.0ms	(* (* y z) (* x 18.0))

simplify2.1s

Counts

89 → 89

Iterations

Iter	Nodes
3	5493
2	1346
1	391
0	168

prune1.9s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 2.7b

localize40.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (* y z) x) 18.0)
0.7b	(* j (* k 27.0))
4.5b	(fma (- (* (* (* y z) x) 18.0) (* a 4.0)) t (- (* c b) (fma (* x i) 4.0 (* j (* k 27.0)))))
4.7b	(* (* y z) x)

rewrite124.0ms

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-r*` `add-cube-cbrt`
5×	`associate-l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
1×	`fma-udef`

Counts

4 → 77

Calls

4 calls:

79.0ms	(* (* (* y z) x) 18.0)
21.0ms	(* j (* k 27.0))
0.0ms	(fma (- (* (* (* y z) x) 18.0) (* a 4.0)) t (- (* c b) (fma (* x i) 4.0 (* j (* k 27.0)))))
22.0ms	(* (* y z) x)

series4.2s

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (* (* y z) x) 18.0)
51.0ms	(* j (* k 27.0))
4.0s	(fma (- (* (* (* y z) x) 18.0) (* a 4.0)) t (- (* c b) (fma (* x i) 4.0 (* j (* k 27.0)))))
51.0ms	(* (* y z) x)

simplify2.0s

Counts

89 → 89

Iterations

Iter	Nodes
3	4989
2	1117
1	319
0	138

prune1.8s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 2.7b

localize60.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma c b (- (fma (* x i) 4.0 (* j (* k 27.0)))))
0.7b	(* j (* k 27.0))
4.5b	(fma (- (* (* y z) (* x 18.0)) (* a 4.0)) t (fma c b (- (fma (* x i) 4.0 (* j (* k 27.0))))))
5.0b	(* (* y z) (* x 18.0))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

0.0ms	(fma c b (- (fma (* x i) 4.0 (* j (* k 27.0)))))
37.0ms	(* j (* k 27.0))
0.0ms	(fma (- (* (* y z) (* x 18.0)) (* a 4.0)) t (fma c b (- (fma (* x i) 4.0 (* j (* k 27.0))))))
23.0ms	(* (* y z) (* x 18.0))

series4.7s

Counts

4 → 12

Calls

4 calls:

659.0ms	(fma c b (- (fma (* x i) 4.0 (* j (* k 27.0)))))
47.0ms	(* j (* k 27.0))
4.0s	(fma (- (* (* y z) (* x 18.0)) (* a 4.0)) t (fma c b (- (fma (* x i) 4.0 (* j (* k 27.0))))))
53.0ms	(* (* y z) (* x 18.0))

simplify1.7s

Counts

80 → 80

Iterations

Iter	Nodes
3	4193
2	1063
1	298
0	134

prune2.0s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 2.7b

regimes2.3s

Accuracy

77.6% (0.9b remaining)

Error of 2.8b against oracle of 1.9b and baseline of 5.9b

bsearch6.0ms

simplify21.0ms

Iterations

Iter	Nodes
3	63
2	63
1	57
0	41

end0.0ms

sample5.8s

Algorithm

intervals

Results

4.0s

16137×

body

valid