Details

sample53.0ms

Algorithm

intervals

Results

30.0ms

626×

body

valid

simplify6.1s

Counts

1 → 1

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	12	17
1	26	16
2	50	15
3	86	15
4	151	15
5	303	15
6	932	15
7	3961	15
done	5001	15

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
0.0b	(+ (* a a) (* b b))
0.0b	(* 4.0 (* b b))
0.3b	(pow (+ (* a a) (* b b)) 2.0)

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

132.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
17.0ms	(+ (* a a) (* b b))
18.0ms	(* 4.0 (* b b))
23.0ms	(pow (+ (* a a) (* b b)) 2.0)

series411.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
58.0ms	(+ (* a a) (* b b))
47.0ms	(* 4.0 (* b b))
190.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify2.6s

Counts

86 → 86

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	125	1011
1	329	844
2	1050	772
3	3524	764
done	5000	764

prune332.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 20

Calls

2 calls:

0.0ms	(fma (* 2 a) a (* b b))
0.0ms	(fma (* b b) (fma (* 2 a) a (* b b)) (pow a 4))

series150.0ms

Counts

2 → 6

Calls

2 calls:

80.0ms	(fma (* 2 a) a (* b b))
70.0ms	(fma (* b b) (fma (* 2 a) a (* b b)) (pow a 4))

simplify2.7s

Counts

26 → 26

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	40	395
1	75	392
2	186	340
3	652	340
4	3424	340
done	5000	340

prune163.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (fma (* (* a a) (* b b)) 2.0 (pow b 4)) (* 4.0 (* b b)))
0.0b	(fma (* (* a a) (* b b)) 2.0 (pow b 4))
0.0b	(* 4.0 (* b b))
3.1b	(* (* a a) (* b b))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1`
21×	`add-exp-log` `add-cbrt-cube`
17×	`pow-prod-down`
11×	`prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`expm1-log1p-u` `pow-plus` `associate-l` `pow-prod-up` `log1p-expm1-u`
3×	`fma-def`
2×	`pow2` `associate-r` `pow-sqr` `*-commutative` `fma-udef` `unswap-sqr`
1×	`+-commutative` `associate-+l+` `flip3-+` `sum-log` `flip-+`

Counts

4 → 79

Calls

4 calls:

15.0ms	(+ (fma (* (* a a) (* b b)) 2.0 (pow b 4)) (* 4.0 (* b b)))
1.0ms	(fma (* (* a a) (* b b)) 2.0 (pow b 4))
44.0ms	(* 4.0 (* b b))
43.0ms	(* (* a a) (* b b))

series272.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(+ (fma (* (* a a) (* b b)) 2.0 (pow b 4)) (* 4.0 (* b b)))
92.0ms	(fma (* (* a a) (* b b)) 2.0 (pow b 4))
54.0ms	(* 4.0 (* b b))
39.0ms	(* (* a a) (* b b))

simplify3.6s

Counts

91 → 91

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	107	1136
1	257	1045
2	895	891
3	3841	823
done	5000	823

prune232.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes119.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	17
1	15	17
done	15	17

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.9s

20293×

body

valid