Details

sample90.0ms

Algorithm

intervals

Results

70.0ms

667×

body

valid

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	2029
6	2029
5	1889
4	575
3	160
2	62
1	29
0	12

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

94.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)))
20.0ms	(+ (* a a) (* b b))
27.0ms	(* 4 (* b b))
8.0ms	(pow (+ (* a a) (* b b)) 2)

series226.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)))
50.0ms	(+ (* a a) (* b b))
36.0ms	(* 4 (* b b))
56.0ms	(pow (+ (* a a) (* b b)) 2)

simplify1.1s

Counts

92 → 92

Iterations

Iter	Nodes
done	2009
3	2009
2	1586
1	384
0	121

prune847.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4 (* b b))
0.0b	(* 2 (* a a))
0.1b	(fma (* b b) (fma b b (* 2 (* a a))) (* (* a a) (* a a)))
0.2b	(* (* a a) (* a a))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

125×	`pow1`
36×	`pow-prod-up`
29×	`pow-prod-down`
26×	`add-cbrt-cube` `add-exp-log`
22×	`pow-sqr`
18×	`pow-plus`
14×	`prod-exp` `cbrt-unprod`
13×	`pow2`
8×	`add-sqr-sqrt`
7×	`associate-l`
6×	`*-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×	`swap-sqr` `fma-udef`

Counts

4 → 121

Calls

4 calls:

13.0ms	(* 4 (* b b))
13.0ms	(* 2 (* a a))
0.0ms	(fma (* b b) (fma b b (* 2 (* a a))) (* (* a a) (* a a)))
27.0ms	(* (* a a) (* a a))

series219.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* 4 (* b b))
30.0ms	(* 2 (* a a))
83.0ms	(fma (* b b) (fma b b (* 2 (* a a))) (* (* a a) (* a a)))
59.0ms	(* (* a a) (* a a))

simplify1.0s

Counts

133 → 133

Iterations

Iter	Nodes
done	2001
3	2001
2	1069
1	349
0	126

prune1.5s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (fma (* b b) (fma b b (* 2 (* a a))) (pow a 4)) (* 4 (* b b)))
0.0b	(* 4 (* b b))
0.0b	(* 2 (* a a))
0.1b	(fma (* b b) (fma b b (* 2 (* a a))) (pow a 4))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`fma-def`
2×	`associate-r` `*-commutative` `fma-udef` `unswap-sqr`
1×	`+-commutative` `associate-+l+` `sum-log` `flip3-+` `flip-+`

Counts

4 → 73

Calls

4 calls:

10.0ms	(+ (fma (* b b) (fma b b (* 2 (* a a))) (pow a 4)) (* 4 (* b b)))
13.0ms	(* 4 (* b b))
24.0ms	(* 2 (* a a))
1.0ms	(fma (* b b) (fma b b (* 2 (* a a))) (pow a 4))

series282.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(+ (fma (* b b) (fma b b (* 2 (* a a))) (pow a 4)) (* 4 (* b b)))
31.0ms	(* 4 (* b b))
49.0ms	(* 2 (* a a))
90.0ms	(fma (* b b) (fma b b (* 2 (* a a))) (pow a 4))

simplify1.0s

Counts

85 → 85

Iterations

Iter	Nodes
done	2004
3	2004
2	1255
1	303
0	117

prune1.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`add-log-exp`
6×	`add-sqr-sqrt`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`+-commutative` `sum-log` `fma-def` `flip3-+` `flip-+`
1×	`associate-r` `*-commutative` `fma-udef` `unswap-sqr`

Counts

4 → 63

Calls

4 calls:

8.0ms	(+ (* a a) (* b b))
8.0ms	(+ (* a a) (* b b))
13.0ms	(* 4 (* b b))
0.0ms	(fma (+ (* a a) (* b b)) (+ (* a a) (* b b)) (* 4 (* b b)))

series194.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ (* a a) (* b b))
47.0ms	(+ (* a a) (* b b))
29.0ms	(* 4 (* b b))
85.0ms	(fma (+ (* a a) (* b b)) (+ (* a a) (* b b)) (* 4 (* b b)))

simplify941.0ms

Counts

75 → 75

Iterations

Iter	Nodes
done	2003
3	2003
2	777
1	246
0	84

prune764.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes388.0ms

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

20540×

body

valid