Details

sample121.0ms

Algorithm

intervals

Results

94.0ms

620×

body

valid

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
5	2015
4	590
3	161
2	62
1	29
0	12

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1))
0.0b	(fma b b (* a a))
0.0b	(fma b b (* a a))
0.2b	(fma (fma b b (* a a)) (fma b b (* a a)) -1)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

0.0ms	(fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1))
0.0ms	(fma b b (* a a))
0.0ms	(fma b b (* a a))
1.0ms	(fma (fma b b (* a a)) (fma b b (* a a)) -1)

series298.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1))
65.0ms	(fma b b (* a a))
46.0ms	(fma b b (* a a))
88.0ms	(fma (fma b b (* a a)) (fma b b (* a a)) -1)

simplify2.0s

Counts

56 → 56

Iterations

Iter	Nodes
4	4294
3	872
2	227
1	86
0	53

prune621.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (* b b) 4 (fma (fma b b (* a a)) (fma a a (* b b)) -1))
0.0b	(fma b b (* a a))
0.2b	(fma (fma b b (* a a)) (fma a a (* b b)) -1)

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` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

3 → 33

Calls

3 calls:

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

series266.0ms

Counts

3 → 9

Calls

3 calls:

101.0ms	(fma (* b b) 4 (fma (fma b b (* a a)) (fma a a (* b b)) -1))
49.0ms	(fma b b (* a a))
115.0ms	(fma (fma b b (* a a)) (fma a a (* b b)) -1)

simplify2.4s

Counts

42 → 42

Iterations

Iter	Nodes
4	5011
3	996
2	248
1	92
0	55

prune546.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize58.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma b b (* a a))) (cbrt (fma b b (* a a))))
9.2b	(cbrt (fma b b (* a a)))
9.2b	(cbrt (fma b b (* a a)))
9.2b	(cbrt (fma b b (* a a)))

rewrite24.0ms

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` `insert-posit16` `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 → 85

Calls

4 calls:

11.0ms	(* (cbrt (fma b b (* a a))) (cbrt (fma b b (* a a))))
9.0ms	(cbrt (fma b b (* a a)))
2.0ms	(cbrt (fma b b (* a a)))
2.0ms	(cbrt (fma b b (* a a)))

series612.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(* (cbrt (fma b b (* a a))) (cbrt (fma b b (* a a))))
161.0ms	(cbrt (fma b b (* a a)))
150.0ms	(cbrt (fma b b (* a a)))
135.0ms	(cbrt (fma b b (* a a)))

simplify881.0ms

Counts

97 → 97

Iterations

Iter	Nodes
4	2272
3	986
2	419
1	165
0	80

prune1.3s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.1b

localize63.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (* (fma b b (* a a)) (fma b b (* a a)))) (cbrt (fma b b (* a a))))
0.3b	(* (fma b b (* a a)) (fma b b (* a a)))
9.2b	(cbrt (fma b b (* a a)))
21.9b	(cbrt (* (fma b b (* a a)) (fma b b (* a a))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
13×	`cbrt-prod` `pow1`
12×	`*-un-lft-identity` `add-cube-cbrt`
9×	`associate-r`
8×	`add-exp-log`
7×	`associate-l`
6×	`add-cbrt-cube`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `pow1/3` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`swap-sqr` `pow-prod-down`
2×	`prod-exp` `*-commutative` `cbrt-unprod` `fma-udef`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow3` `pow-sqr` `pow-prod-up`

Counts

4 → 86

Calls

4 calls:

19.0ms	(* (cbrt (* (fma b b (* a a)) (fma b b (* a a)))) (cbrt (fma b b (* a a))))
11.0ms	(* (fma b b (* a a)) (fma b b (* a a)))
1.0ms	(cbrt (fma b b (* a a)))
6.0ms	(cbrt (* (fma b b (* a a)) (fma b b (* a a))))

series404.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (cbrt (* (fma b b (* a a)) (fma b b (* a a)))) (cbrt (fma b b (* a a))))
67.0ms	(* (fma b b (* a a)) (fma b b (* a a)))
141.0ms	(cbrt (fma b b (* a a)))
149.0ms	(cbrt (* (fma b b (* a a)) (fma b b (* a a))))

simplify954.0ms

Counts

98 → 98

Iterations

Iter	Nodes
3	2723
2	821
1	240
0	120

prune1.1s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes333.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
1	10
0	10

end0.0ms

sample3.8s

Algorithm

intervals

Results

3.2s

20611×

body

valid