Details

sample126.0ms

Algorithm

intervals

Results

95.0ms

656×

body

valid

simplify2.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	3560
3	785
2	201
1	58
0	19

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize69.0ms

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))
0.3b	(pow (+ (* a a) (* b b)) 2)
0.7b	(* (* b b) (- 1 (* 3 a)))

rewrite241.0ms

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:

125.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
62.0ms	(* (* a a) (+ 1 a))
20.0ms	(pow (+ (* a a) (* b b)) 2)
29.0ms	(* (* b b) (- 1 (* 3 a)))

series352.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
91.0ms	(* (* a a) (+ 1 a))
42.0ms	(pow (+ (* a a) (* b b)) 2)
77.0ms	(* (* b b) (- 1 (* 3 a)))

simplify2.2s

Counts

118 → 118

Iterations

Iter	Nodes
done	5000
2	2096
1	569
0	191

prune738.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize54.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (* b b) (* b b) (fma (* 2 (* a a)) (* b b) (* (* a a) (* a a))))
0.2b	(* (* a a) (* a a))
0.7b	(* (* b b) (- 1 (* 3 a)))
0.9b	(fma (* 2 (* a a)) (* b b) (* (* a a) (* a a)))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 122

Calls

4 calls:

0.0ms	(fma (* b b) (* b b) (fma (* 2 (* a a)) (* b b) (* (* a a) (* a a))))
30.0ms	(* (* a a) (* a a))
62.0ms	(* (* b b) (- 1 (* 3 a)))
1.0ms	(fma (* 2 (* a a)) (* b b) (* (* a a) (* a a)))

series320.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(fma (* b b) (* b b) (fma (* 2 (* a a)) (* b b) (* (* a a) (* a a))))
49.0ms	(* (* a a) (* a a))
69.0ms	(* (* b b) (- 1 (* 3 a)))
92.0ms	(fma (* 2 (* a a)) (* b b) (* (* a a) (* a a)))

simplify1.4s

Counts

134 → 134

Iterations

Iter	Nodes
done	5001
2	1388
1	433
0	150

prune602.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize82.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* a a) (+ 1 a))
0.1b	(fma (* b b) (* b b) (fma (* 2 (* a a)) (* b b) (pow a 4)))
0.7b	(* (* b b) (- 1 (* 3 a)))
0.9b	(fma (* 2 (* a a)) (* b b) (pow a 4))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

59.0ms	(* (* a a) (+ 1 a))
1.0ms	(fma (* b b) (* b b) (fma (* 2 (* a a)) (* b b) (pow a 4)))
43.0ms	(* (* b b) (- 1 (* 3 a)))
1.0ms	(fma (* 2 (* a a)) (* b b) (pow a 4))

series350.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(* (* a a) (+ 1 a))
87.0ms	(fma (* b b) (* b b) (fma (* 2 (* a a)) (* b b) (pow a 4)))
68.0ms	(* (* b b) (- 1 (* 3 a)))
106.0ms	(fma (* 2 (* a a)) (* b b) (pow a 4))

simplify1.4s

Counts

95 → 95

Iterations

Iter	Nodes
done	5000
2	1416
1	416
0	152

prune591.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize96.0ms

Local error

Found 4 expressions with local error:

0.9b	(fma (* 2 (* a a)) (* b b) (* (* a a) (* a a)))
19.9b	(cbrt (fma (* b b) (* b b) (fma (* 2 (* a a)) (* b b) (* (* a a) (* a a)))))
19.9b	(cbrt (fma (* b b) (* b b) (fma (* 2 (* a a)) (* b b) (* (* a a) (* a a)))))
19.9b	(cbrt (fma (* b b) (* b b) (fma (* 2 (* a a)) (* b b) (* (* a a) (* a a)))))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`fma-udef`

Counts

4 → 53

Calls

4 calls:

1.0ms	(fma (* 2 (* a a)) (* b b) (* (* a a) (* a a)))
2.0ms	(cbrt (fma (* b b) (* b b) (fma (* 2 (* a a)) (* b b) (* (* a a) (* a a)))))
2.0ms	(cbrt (fma (* b b) (* b b) (fma (* 2 (* a a)) (* b b) (* (* a a) (* a a)))))
2.0ms	(cbrt (fma (* b b) (* b b) (fma (* 2 (* a a)) (* b b) (* (* a a) (* a a)))))

series615.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(fma (* 2 (* a a)) (* b b) (* (* a a) (* a a)))
179.0ms	(cbrt (fma (* b b) (* b b) (fma (* 2 (* a a)) (* b b) (* (* a a) (* a a)))))
166.0ms	(cbrt (fma (* b b) (* b b) (fma (* 2 (* a a)) (* b b) (* (* a a) (* a a)))))
171.0ms	(cbrt (fma (* b b) (* b b) (fma (* 2 (* a a)) (* b b) (* (* a a) (* a a)))))

simplify1.5s

Counts

65 → 65

Iterations

Iter	Nodes
done	5003
3	987
2	283
1	106
0	59

prune606.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes317.0ms

Accuracy

0% (0.1b 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

sample4.0s

Algorithm

intervals

Results

3.5s

20324×

body

valid