Details

sample115.0ms

Algorithm

intervals

Results

89.0ms

579×

body

valid

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
5	1889
4	575
3	160
2	62
1	29
0	12

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* a a) (* b b))
0.0b	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)))
0.3b	(pow (+ (* a a) (* b b)) 2)

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

9×	`fma-def`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
6×	`unpow-prod-down`
4×	`pow1` `add-exp-log`
3×	`expm1-log1p-u` `pow-unpow` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u`
2×	`+-commutative` `sum-log` `flip3-+` `flip-+` `unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow-exp`

Counts

3 → 58

Calls

3 calls:

15.0ms	(+ (* a a) (* b b))
72.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)))
17.0ms	(pow (+ (* a a) (* b b)) 2)

series192.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(+ (* a a) (* b b))
101.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)))
46.0ms	(pow (+ (* a a) (* b b)) 2)

simplify637.0ms

Counts

67 → 67

Iterations

Iter	Nodes
done	2001
2	1290
1	318
0	94

prune431.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`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

2 → 22

Calls

2 calls:

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

series232.0ms

Counts

2 → 6

Calls

2 calls:

132.0ms	(fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1))
100.0ms	(fma (fma b b (* a a)) (fma b b (* a a)) -1)

simplify587.0ms

Counts

28 → 28

Iterations

Iter	Nodes
done	2001
3	801
2	188
1	75
0	43

prune178.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma b b (* (* a a) 2))
0.0b	(+ (fma (* b b) (fma b b (* (* a a) 2)) (* (* a a) (* a a))) (* 4 (* b b)))
0.2b	(fma (* b b) (fma b b (* (* a a) 2)) (* (* a a) (* a a)))
0.2b	(* (* a a) (* a a))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

115×	`pow1`
36×	`pow-prod-up`
23×	`pow-prod-down`
22×	`pow-sqr`
18×	`pow-plus`
16×	`add-cbrt-cube` `add-exp-log`
13×	`pow2`
8×	`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×	`fma-def` `fma-udef`
1×	`+-commutative` `associate-+l+` `sum-log` `flip3-+` `swap-sqr` `associate-r` `associate-l` `*-commutative` `flip-+` `unswap-sqr`

Counts

4 → 106

Calls

4 calls:

0.0ms	(fma b b (* (* a a) 2))
7.0ms	(+ (fma (* b b) (fma b b (* (* a a) 2)) (* (* a a) (* a a))) (* 4 (* b b)))
0.0ms	(fma (* b b) (fma b b (* (* a a) 2)) (* (* a a) (* a a)))
33.0ms	(* (* a a) (* a a))

series295.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(fma b b (* (* a a) 2))
107.0ms	(+ (fma (* b b) (fma b b (* (* a a) 2)) (* (* a a) (* a a))) (* 4 (* b b)))
83.0ms	(fma (* b b) (fma b b (* (* a a) 2)) (* (* a a) (* a a)))
44.0ms	(* (* a a) (* a a))

simplify595.0ms

Counts

118 → 118

Iterations

Iter	Nodes
done	2001
2	973
1	314
0	111

prune489.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize55.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma b b (* (* a a) 2))
0.0b	(+ (fma (* b b) (fma b b (* (* a a) 2)) (pow a 4)) (* 4 (* b b)))
0.2b	(fma (* b b) (fma b b (* (* a a) 2)) (pow a 4))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-log-exp`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
3×	`expm1-log1p-u` `pow1` `fma-def` `add-cbrt-cube` `add-exp-log` `fma-udef` `insert-posit16` `log1p-expm1-u`
1×	`+-commutative` `associate-+l+` `sum-log` `flip3-+` `flip-+`

Counts

3 → 40

Calls

3 calls:

0.0ms	(fma b b (* (* a a) 2))
24.0ms	(+ (fma (* b b) (fma b b (* (* a a) 2)) (pow a 4)) (* 4 (* b b)))
1.0ms	(fma (* b b) (fma b b (* (* a a) 2)) (pow a 4))

series317.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(fma b b (* (* a a) 2))
144.0ms	(+ (fma (* b b) (fma b b (* (* a a) 2)) (pow a 4)) (* 4 (* b b)))
96.0ms	(fma (* b b) (fma b b (* (* a a) 2)) (pow a 4))

simplify658.0ms

Counts

49 → 49

Iterations

Iter	Nodes
done	2001
2	603
1	177
0	70

prune380.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

regimes256.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	19
1	19
0	14

end0.0ms

sample3.7s

Algorithm

intervals

Results

3.1s

20362×

body

valid