Details

sample81.0ms

Algorithm

intervals

Results

58.0ms

620×

body

valid

simplify4.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	4618
5	1889
4	575
3	160
2	62
1	29
0	12

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize26.0ms

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)

rewrite107.0ms

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:

75.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)))
8.0ms	(+ (* a a) (* b b))
14.0ms	(* 4 (* b b))
9.0ms	(pow (+ (* a a) (* b b)) 2)

series247.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)))
32.0ms	(+ (* a a) (* b b))
50.0ms	(* 4 (* b b))
52.0ms	(pow (+ (* a a) (* b b)) 2)

simplify2.0s

Counts

92 → 92

Iterations

Iter	Nodes
done	5001
2	1586
1	384
0	121

prune472.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma a a (* b b))
0.0b	(+ (* 1 (* (fma a a (* b b)) (fma a a (* b b)))) (* 4 (* b b)))
0.0b	(* 4 (* b b))
0.3b	(* (fma a a (* b b)) (fma a a (* b b)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1`
12×	`add-sqr-sqrt`
11×	`add-cbrt-cube` `add-exp-log`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`fma-udef`
6×	`associate-l` `add-log-exp`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `associate-+l+` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u`
3×	`swap-sqr`
2×	`*-commutative` `unswap-sqr`
1×	`pow2` `+-commutative` `sum-log` `fma-def` `flip3-+` `pow-plus` `pow-sqr` `pow-prod-up` `flip-+`

Counts

4 → 82

Calls

4 calls:

1.0ms	(fma a a (* b b))
29.0ms	(+ (* 1 (* (fma a a (* b b)) (fma a a (* b b)))) (* 4 (* b b)))
14.0ms	(* 4 (* b b))
8.0ms	(* (fma a a (* b b)) (fma a a (* b b)))

series246.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(fma a a (* b b))
73.0ms	(+ (* 1 (* (fma a a (* b b)) (fma a a (* b b)))) (* 4 (* b b)))
53.0ms	(* 4 (* b b))
80.0ms	(* (fma a a (* b b)) (fma a a (* b b)))

simplify2.7s

Counts

94 → 94

Iterations

Iter	Nodes
done	5000
3	3639
2	1036
1	330
0	121

prune452.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize42.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (fma a a (* b b)) (sqrt (fma a a (* b b))))
0.2b	(* (* (fma a a (* b b)) (sqrt (fma a a (* b b)))) (sqrt (fma a a (* b b))))
11.0b	(sqrt (fma a a (* b b)))
11.0b	(sqrt (fma a a (* b b)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1`
20×	`add-sqr-sqrt`
13×	`sqrt-prod`
12×	`associate-r`
11×	`*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `pow-prod-up` `add-cube-cbrt`
7×	`sqrt-pow1` `pow1/2`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow3`
2×	`rem-sqrt-square` `*-commutative` `fma-udef` `hypot-def` `unswap-sqr`
1×	`pow-plus`

Counts

4 → 92

Calls

4 calls:

8.0ms	(* (fma a a (* b b)) (sqrt (fma a a (* b b))))
37.0ms	(* (* (fma a a (* b b)) (sqrt (fma a a (* b b)))) (sqrt (fma a a (* b b))))
2.0ms	(sqrt (fma a a (* b b)))
2.0ms	(sqrt (fma a a (* b b)))

series307.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(* (fma a a (* b b)) (sqrt (fma a a (* b b))))
57.0ms	(* (* (fma a a (* b b)) (sqrt (fma a a (* b b)))) (sqrt (fma a a (* b b))))
61.0ms	(sqrt (fma a a (* b b)))
48.0ms	(sqrt (fma a a (* b b)))

simplify1.8s

Counts

104 → 104

Iterations

Iter	Nodes
done	5029
3	2700
2	686
1	224
0	98

prune491.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1 (pow (sqrt (fma a a (* b b))) 4)) (* 4 (* b b)))
0.0b	(* 4 (* b b))
0.1b	(pow (sqrt (fma a a (* b b))) 4)
11.0b	(sqrt (fma a a (* b b)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

10.0ms	(+ (* 1 (pow (sqrt (fma a a (* b b))) 4)) (* 4 (* b b)))
17.0ms	(* 4 (* b b))
3.0ms	(pow (sqrt (fma a a (* b b))) 4)
1.0ms	(sqrt (fma a a (* b b)))

series259.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(+ (* 1 (pow (sqrt (fma a a (* b b))) 4)) (* 4 (* b b)))
40.0ms	(* 4 (* b b))
88.0ms	(pow (sqrt (fma a a (* b b))) 4)
58.0ms	(sqrt (fma a a (* b b)))

simplify1.4s

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
2	1338
1	368
0	123

prune482.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes95.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	17
1	17
0	12

end0.0ms

sample2.6s

Algorithm

intervals

Results

2.2s

20337×

body

valid