Details

sample127.0ms

Algorithm

intervals

Results

101.0ms

667×

body

valid

simplify1.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	2009
4	2009
3	785
2	201
1	58
0	19

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize72.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))
0.1b	(* (* a a) (+ 1 a))
0.2b	(* (* b b) (- 1 (* 3 a)))
0.3b	(pow (+ (* a a) (* b b)) 2)

rewrite180.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 111

Calls

4 calls:

96.0ms	(* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))
23.0ms	(* (* a a) (+ 1 a))
43.0ms	(* (* b b) (- 1 (* 3 a)))
17.0ms	(pow (+ (* a a) (* b b)) 2)

series302.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))
88.0ms	(* (* a a) (+ 1 a))
84.0ms	(* (* b b) (- 1 (* 3 a)))
53.0ms	(pow (+ (* a a) (* b b)) 2)

simplify1.2s

Counts

123 → 123

Iterations

Iter	Nodes
done	2002
2	2002
1	797
0	231

prune650.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize51.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (* b b) (* b b) (fma 2 (* (* b b) (* a a)) (* (* a a) (* a a))))
0.2b	(* (* b b) (- 1 (* 3 a)))
0.2b	(* (* a a) (* a a))
1.7b	(* (* b b) (* a a))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
40×	`pow-prod-down` `pow-prod-up`
33×	`add-cbrt-cube` `add-exp-log`
24×	`pow-sqr`
22×	`pow-plus`
19×	`prod-exp` `cbrt-unprod`
15×	`pow2`
8×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in` `associate-r`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `*-commutative` `unswap-sqr`
2×	`sub-neg` `associate-*r/`
1×	`flip3--` `swap-sqr` `fma-udef` `flip--`

Counts

4 → 143

Calls

4 calls:

0.0ms	(fma (* b b) (* b b) (fma 2 (* (* b b) (* a a)) (* (* a a) (* a a))))
31.0ms	(* (* b b) (- 1 (* 3 a)))
24.0ms	(* (* a a) (* a a))
35.0ms	(* (* b b) (* a a))

series276.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(fma (* b b) (* b b) (fma 2 (* (* b b) (* a a)) (* (* a a) (* a a))))
88.0ms	(* (* b b) (- 1 (* 3 a)))
48.0ms	(* (* a a) (* a a))
35.0ms	(* (* b b) (* a a))

simplify1.1s

Counts

155 → 155

Iterations

Iter	Nodes
done	2001
3	2001
2	1647
1	475
0	160

prune593.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize85.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* a a) (+ 1 a))
0.1b	(fma (* b b) (* b b) (fma 2 (* (* b b) (* a a)) (pow a 4)))
0.2b	(* (* b b) (- 1 (* 3 a)))
1.7b	(* (* b b) (* a a))

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

42×	`pow1`
26×	`add-cbrt-cube` `add-exp-log`
20×	`pow-prod-down`
14×	`prod-exp` `cbrt-unprod`
10×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`associate-r` `add-cube-cbrt`
6×	`distribute-rgt-in` `distribute-lft-in` `prod-diff`
4×	`expm1-log1p-u` `pow-plus` `associate-*r/` `pow-prod-up` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `*-commutative` `unswap-sqr`
2×	`pow2` `sub-neg` `pow-sqr`
1×	`flip3-+` `flip3--` `flip-+` `fma-udef` `flip--` `distribute-lft-out`

Counts

4 → 104

Calls

4 calls:

45.0ms	(* (* a a) (+ 1 a))
0.0ms	(fma (* b b) (* b b) (fma 2 (* (* b b) (* a a)) (pow a 4)))
46.0ms	(* (* b b) (- 1 (* 3 a)))
57.0ms	(* (* b b) (* a a))

series302.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(* (* a a) (+ 1 a))
91.0ms	(fma (* b b) (* b b) (fma 2 (* (* b b) (* a a)) (pow a 4)))
81.0ms	(* (* b b) (- 1 (* 3 a)))
37.0ms	(* (* b b) (* a a))

simplify1.6s

Counts

116 → 116

Iterations

Iter	Nodes
done	2002
3	2002
2	1816
1	476
0	162

prune739.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize85.0ms

Local error

Found 4 expressions with local error:

1.7b	(* (* b b) (* a a))
17.8b	(cbrt (fma (* b b) (* b b) (fma 2 (* (* b b) (* a a)) (* (* a a) (* a a)))))
17.8b	(cbrt (fma (* b b) (* b b) (fma 2 (* (* b b) (* a a)) (* (* a a) (* a a)))))
17.8b	(cbrt (fma (* b b) (* b b) (fma 2 (* (* b b) (* a a)) (* (* a a) (* a a)))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1`
16×	`add-cbrt-cube` `add-exp-log`
14×	`pow-prod-down`
9×	`cbrt-prod`
8×	`prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow-plus` `pow-prod-up` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`pow2` `pow-sqr`
1×	`associate-r` `associate-l` `*-commutative` `unswap-sqr`

Counts

4 → 74

Calls

4 calls:

39.0ms	(* (* b b) (* a a))
1.0ms	(cbrt (fma (* b b) (* b b) (fma 2 (* (* b b) (* a a)) (* (* a a) (* a a)))))
1.0ms	(cbrt (fma (* b b) (* b b) (fma 2 (* (* b b) (* a a)) (* (* a a) (* a a)))))
1.0ms	(cbrt (fma (* b b) (* b b) (fma 2 (* (* b b) (* a a)) (* (* a a) (* a a)))))

series717.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* (* b b) (* a a))
232.0ms	(cbrt (fma (* b b) (* b b) (fma 2 (* (* b b) (* a a)) (* (* a a) (* a a)))))
218.0ms	(cbrt (fma (* b b) (* b b) (fma 2 (* (* b b) (* a a)) (* (* a a) (* a a)))))
203.0ms	(cbrt (fma (* b b) (* b b) (fma 2 (* (* b b) (* a a)) (* (* a a) (* a a)))))

simplify1.2s

Counts

86 → 86

Iterations

Iter	Nodes
done	2055
3	2055
2	611
1	192
0	77

prune737.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes319.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	31
1	31
0	21

end0.0ms

sample5.4s

Algorithm

intervals

Results

5.0s

20540×

body

valid