Details

sample152.0ms

Algorithm

intervals

Results

127.0ms

579×

body

valid

simplify768.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2001
3	785
2	201
1	58
0	19

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
0.1b	(* (* a a) (+ 1 a))
0.1b	(* (* b b) (- 1 (* 3 a)))
0.3b	(pow (+ (* a a) (* b b)) 2)

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-exp-log`
14×	`add-sqr-sqrt` `*-un-lft-identity` `add-cbrt-cube`
12×	`add-cube-cbrt`
8×	`fma-def`
7×	`distribute-rgt-in` `distribute-lft-in` `associate-r`
6×	`unpow-prod-down` `prod-diff` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`expm1-log1p-u` `associate-*r/` `insert-posit16` `log1p-expm1-u`
3×	`pow-unpow`
2×	`associate-+r+` `sub-neg` `flip3-+` `associate-l` `*-commutative` `flip-+` `unpow2` `unswap-sqr` `sqr-pow`
1×	`pow-to-exp` `+-commutative` `sum-log` `pow-pow` `flip3--` `pow-exp` `flip--` `distribute-lft-out`

Counts

4 → 106

Calls

4 calls:

59.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
31.0ms	(* (* a a) (+ 1 a))
38.0ms	(* (* b b) (- 1 (* 3 a)))
9.0ms	(pow (+ (* a a) (* b b)) 2)

series323.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
71.0ms	(* (* a a) (+ 1 a))
63.0ms	(* (* b b) (- 1 (* 3 a)))
38.0ms	(pow (+ (* a a) (* b b)) 2)

simplify562.0ms

Counts

118 → 118

Iterations

Iter	Nodes
done	2000
1	569
0	191

prune578.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1 (* 3 a))
0.1b	(fma (* a a) a (* a a))
0.1b	(* (* b b) (- 1 (* 3 a)))
0.3b	(* (fma b b (* a a)) (fma b b (* a a)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

10.0ms	(- 1 (* 3 a))
0.0ms	(fma (* a a) a (* a a))
39.0ms	(* (* b b) (- 1 (* 3 a)))
11.0ms	(* (fma b b (* a a)) (fma b b (* a a)))

series281.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(- 1 (* 3 a))
102.0ms	(fma (* a a) a (* a a))
74.0ms	(* (* b b) (- 1 (* 3 a)))
50.0ms	(* (fma b b (* a a)) (fma b b (* a a)))

simplify617.0ms

Counts

108 → 108

Iterations

Iter	Nodes
done	2000
2	1173
1	371
0	143

prune482.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize71.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (fma b b (* a a)) (sqrt (fma b b (* a a)))) (sqrt (fma b b (* a a))))
0.2b	(* (fma b b (* a a)) (sqrt (fma b b (* a a))))
10.8b	(sqrt (fma b b (* a a)))
10.8b	(sqrt (fma b b (* a a)))

rewrite49.0ms

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:

30.0ms	(* (* (fma b b (* a a)) (sqrt (fma b b (* a a)))) (sqrt (fma b b (* a a))))
13.0ms	(* (fma b b (* a a)) (sqrt (fma b b (* a a))))
2.0ms	(sqrt (fma b b (* a a)))
2.0ms	(sqrt (fma b b (* a a)))

series333.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (* (fma b b (* a a)) (sqrt (fma b b (* a a)))) (sqrt (fma b b (* a a))))
141.0ms	(* (fma b b (* a a)) (sqrt (fma b b (* a a))))
77.0ms	(sqrt (fma b b (* a a)))
49.0ms	(sqrt (fma b b (* a a)))

simplify498.0ms

Counts

104 → 104

Iterations

Iter	Nodes
done	2010
2	676
1	223
0	98

prune690.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize71.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1 (* 3 a))
0.1b	(fma (* a a) a (* a a))
0.1b	(* (* b b) (- 1 (* 3 a)))
10.8b	(sqrt (fma b b (* a a)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
9×	`add-cbrt-cube` `prod-diff` `add-exp-log`
6×	`add-log-exp`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`sub-neg` `fma-neg` `associate-r` `pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod`
2×	`flip3--` `associate-*r/` `fma-udef` `flip--`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `diff-log` `associate-l` `*-commutative` `hypot-def` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

9.0ms	(- 1 (* 3 a))
0.0ms	(fma (* a a) a (* a a))
35.0ms	(* (* b b) (- 1 (* 3 a)))
2.0ms	(sqrt (fma b b (* a a)))

series319.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(- 1 (* 3 a))
132.0ms	(fma (* a a) a (* a a))
57.0ms	(* (* b b) (- 1 (* 3 a)))
80.0ms	(sqrt (fma b b (* a a)))

simplify508.0ms

Counts

95 → 95

Iterations

Iter	Nodes
done	2003
2	984
1	296
0	121

prune557.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes111.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	24
1	24
0	18

end0.0ms

sample5.5s

Algorithm

intervals

Results

5.0s

20362×

body

valid