Details

sample104.0ms

Algorithm

intervals

Results

84.0ms

659×

body

valid

simplify4.0s

Counts

1 → 1

Iterations

Iter	Nodes
6	4855
5	1985
4	584
3	159
2	60
1	27
0	12

prune17.0ms

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	(+ (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)

rewrite115.0ms

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:

79.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)))
8.0ms	(+ (* a a) (* b b))
14.0ms	(* 4 (* b b))
12.0ms	(pow (+ (* a a) (* b b)) 2)

series220.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)))
45.0ms	(+ (* a a) (* b b))
44.0ms	(* 4 (* b b))
46.0ms	(pow (+ (* a a) (* b b)) 2)

simplify4.3s

Counts

92 → 92

Iterations

Iter	Nodes
3	6000
2	1477
1	359
0	121

prune812.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.2b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

24×	`pow1`
14×	`add-exp-log`
13×	`add-sqr-sqrt`
11×	`add-cbrt-cube`
10×	`*-un-lft-identity` `add-cube-cbrt`
7×	`hypot-udef`
6×	`pow-pow` `associate-l`
5×	`pow-prod-down` `prod-exp`
4×	`expm1-log1p-u` `associate-r` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `swap-sqr`
2×	`pow2` `pow-plus` `sqrt-unprod` `pow-exp` `pow-sqr` `*-commutative` `pow-prod-up` `unswap-sqr`
1×	`pow-to-exp` `rem-square-sqrt` `unpow-prod-down` `sqrt-pow2` `unpow2` `sqr-pow`

Counts

4 → 89

Calls

4 calls:

0.0ms	(hypot a b)
17.0ms	(* 4 (* b b))
6.0ms	(* (hypot a b) (hypot a b))
5.0ms	(pow (* (hypot a b) (hypot a b)) 2)

series264.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(hypot a b)
46.0ms	(* 4 (* b b))
66.0ms	(* (hypot a b) (hypot a b))
91.0ms	(pow (* (hypot a b) (hypot a b)) 2)

simplify1.1s

Counts

101 → 101

Iterations

Iter	Nodes
3	2407
2	719
1	271
0	113

prune1.0s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow (hypot a b) 4) (* 4 (* b b)))
0.0b	(hypot a b)
0.0b	(* 4 (* b b))
0.0b	(pow (hypot a b) 4)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `pow1` `add-exp-log`
9×	`*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt`
7×	`fma-def`
6×	`unpow-prod-down` `add-log-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`pow-unpow` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`hypot-udef` `sqr-pow`
1×	`pow-to-exp` `+-commutative` `sum-log` `pow-pow` `flip3-+` `associate-r` `pow-exp` `*-commutative` `flip-+` `sqrt-pow2` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

25.0ms	(+ (pow (hypot a b) 4) (* 4 (* b b)))
0.0ms	(hypot a b)
14.0ms	(* 4 (* b b))
2.0ms	(pow (hypot a b) 4)

series294.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(+ (pow (hypot a b) 4) (* 4 (* b b)))
59.0ms	(hypot a b)
31.0ms	(* 4 (* b b))
85.0ms	(pow (hypot a b) 4)

simplify2.4s

Counts

87 → 87

Iterations

Iter	Nodes
3	3475
2	887
1	282
0	109

prune979.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (fma (* b b) (* b b) (* (* a a) (+ (* 2 (* b b)) (* a a)))) (* 4 (* b b)))
0.0b	(* 4 (* b b))
0.2b	(fma (* b b) (* b b) (* (* a a) (+ (* 2 (* b b)) (* a a))))
1.1b	(* (* a a) (+ (* 2 (* b b)) (* a a)))

rewrite85.0ms

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×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`expm1-log1p-u` `associate-r` `associate-l` `insert-posit16` `log1p-expm1-u`
3×	`fma-def`
2×	`flip3-+` `associate-r/` `-commutative` `flip-+` `fma-udef` `unswap-sqr`
1×	`distribute-rgt-in` `+-commutative` `associate-+l+` `sum-log` `distribute-lft-in`

Counts

4 → 77

Calls

4 calls:

7.0ms	(+ (fma (* b b) (* b b) (* (* a a) (+ (* 2 (* b b)) (* a a)))) (* 4 (* b b)))
15.0ms	(* 4 (* b b))
0.0ms	(fma (* b b) (* b b) (* (* a a) (+ (* 2 (* b b)) (* a a))))
61.0ms	(* (* a a) (+ (* 2 (* b b)) (* a a)))

series341.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(+ (fma (* b b) (* b b) (* (* a a) (+ (* 2 (* b b)) (* a a)))) (* 4 (* b b)))
38.0ms	(* 4 (* b b))
115.0ms	(fma (* b b) (* b b) (* (* a a) (+ (* 2 (* b b)) (* a a))))
62.0ms	(* (* a a) (+ (* 2 (* b b)) (* a a)))

simplify6.9s

Counts

89 → 89

Iterations

Iter	Nodes
3	8097
2	1658
1	394
0	128

prune1.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes121.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
2	12
1	12
0	10

end0.0ms

sample3.8s

Algorithm

intervals

Results

3.3s

20389×

body

valid