Details

sample158.0ms

Algorithm

intervals

Results

127.0ms

729×

body

valid

simplify1.0s

Counts

1 → 1

Iterations

Iter	Nodes
4	2160
3	649
2	198
1	56
0	19

prune25.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 4 (fma a (fma a a a) (* (fma a -3 1) (* b b))) (fma (fma a a (* b b)) (fma a a (* b b)) -1))
0.1b	(fma a (fma a a a) (* (fma a -3 1) (* b b)))
0.2b	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
0.3b	(* (fma a -3 1) (* b b))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 55

Calls

4 calls:

0.0ms	(fma 4 (fma a (fma a a a) (* (fma a -3 1) (* b b))) (fma (fma a a (* b b)) (fma a a (* b b)) -1))
0.0ms	(fma a (fma a a a) (* (fma a -3 1) (* b b)))
0.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
18.0ms	(* (fma a -3 1) (* b b))

series458.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(fma 4 (fma a (fma a a a) (* (fma a -3 1) (* b b))) (fma (fma a a (* b b)) (fma a a (* b b)) -1))
80.0ms	(fma a (fma a a a) (* (fma a -3 1) (* b b)))
116.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
72.0ms	(* (fma a -3 1) (* b b))

simplify1.2s

Counts

67 → 67

Iterations

Iter	Nodes
3	3082
2	647
1	204
0	98

prune708.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize64.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
0.3b	(* (fma a -3 1) (* b b))
0.3b	(* (fma a -3 1) (* b b))
0.3b	(* (fma a -3 1) (* b b))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

0.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
22.0ms	(* (fma a -3 1) (* b b))
21.0ms	(* (fma a -3 1) (* b b))
14.0ms	(* (fma a -3 1) (* b b))

series325.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
63.0ms	(* (fma a -3 1) (* b b))
77.0ms	(* (fma a -3 1) (* b b))
86.0ms	(* (fma a -3 1) (* b b))

simplify5.3s

Counts

89 → 89

Iterations

Iter	Nodes
4	5954
3	1968
2	474
1	143
0	65

prune1.3s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize50.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
0.2b	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
0.2b	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
0.3b	(* (fma a -3 1) (* b b))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 55

Calls

4 calls:

0.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
0.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
0.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
35.0ms	(* (fma a -3 1) (* b b))

series455.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
111.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
123.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
96.0ms	(* (fma a -3 1) (* b b))

simplify5.0s

Counts

67 → 67

Iterations

Iter	Nodes
4	5954
3	1968
2	474
1	143
0	65

prune834.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

localize99.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
0.3b	(* (fma a -3 1) (* b b))
0.3b	(* (fma a -3 1) (* b b))
0.3b	(* (fma a -3 1) (* b b))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

0.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
14.0ms	(* (fma a -3 1) (* b b))
19.0ms	(* (fma a -3 1) (* b b))
17.0ms	(* (fma a -3 1) (* b b))

series328.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
59.0ms	(* (fma a -3 1) (* b b))
74.0ms	(* (fma a -3 1) (* b b))
79.0ms	(* (fma a -3 1) (* b b))

simplify4.7s

Counts

89 → 89

Iterations

Iter	Nodes
4	5954
3	1968
2	474
1	143
0	65

prune1.4s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.1b

regimes263.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	19
1	19
0	17

end0.0ms

sample4.8s

Algorithm

intervals

Results

4.4s

20501×

body

valid