Details

sample121.0ms

Algorithm

intervals

Results

81.0ms

644×

body

valid

simplify3.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	2195
3	588
2	179
1	55
0	19

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
0.1b	(* (* a a) (+ 1.0 a))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.4b	(* (* b b) (- 1.0 (* 3.0 a)))

rewrite179.0ms

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-+` `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` `sqr-pow`

Counts

4 → 106

Calls

4 calls:

96.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
39.0ms	(* (* a a) (+ 1.0 a))
8.0ms	(pow (+ (* a a) (* b b)) 2.0)
29.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

series420.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
83.0ms	(* (* a a) (+ 1.0 a))
144.0ms	(pow (+ (* a a) (* b b)) 2.0)
94.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

simplify468.0ms

Counts

118 → 118

Iterations

Iter	Nodes
done	5001
1	790
0	237

prune824.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize80.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* b b) (- 1.0 (* 3.0 a)))
22.0b	(cbrt (pow (fma a a (pow b 2)) 2.0))
22.0b	(cbrt (pow (fma a a (pow b 2)) 2.0))
22.0b	(cbrt (pow (fma a a (pow b 2)) 2.0))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
14×	`add-sqr-sqrt`
13×	`*-un-lft-identity` `add-cube-cbrt`
9×	`pow1` `unpow-prod-down` `add-cbrt-cube` `add-exp-log`
6×	`prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `sqr-pow`
2×	`sub-neg` `associate-*r/`
1×	`flip3--` `associate-l` `*-commutative` `flip--` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

37.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
2.0ms	(cbrt (pow (fma a a (pow b 2)) 2.0))
2.0ms	(cbrt (pow (fma a a (pow b 2)) 2.0))
2.0ms	(cbrt (pow (fma a a (pow b 2)) 2.0))

series804.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
254.0ms	(cbrt (pow (fma a a (pow b 2)) 2.0))
242.0ms	(cbrt (pow (fma a a (pow b 2)) 2.0))
247.0ms	(cbrt (pow (fma a a (pow b 2)) 2.0))

simplify1.7s

Counts

96 → 96

Iterations

Iter	Nodes
done	5000
2	1950
1	332
0	131

prune915.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize90.0ms

Local error

Found 4 expressions with local error:

13.9b	(sqrt (pow (fma b b (pow a 2)) 2.0))
13.9b	(sqrt (pow (fma b b (pow a 2)) 2.0))
22.0b	(cbrt (pow (fma a a (pow b 2)) 2.0))
22.0b	(cbrt (pow (fma a a (pow b 2)) 2.0))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`cbrt-prod` `unpow-prod-down` `sqrt-prod`
12×	`*-un-lft-identity` `add-cube-cbrt`
6×	`rem-sqrt-square` `sqr-pow`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `add-log-exp`
2×	`sqrt-pow1` `pow1/2` `pow1/3`

Counts

4 → 76

Calls

4 calls:

3.0ms	(sqrt (pow (fma b b (pow a 2)) 2.0))
9.0ms	(sqrt (pow (fma b b (pow a 2)) 2.0))
2.0ms	(cbrt (pow (fma a a (pow b 2)) 2.0))
2.0ms	(cbrt (pow (fma a a (pow b 2)) 2.0))

series935.0ms

Counts

4 → 12

Calls

4 calls:

217.0ms	(sqrt (pow (fma b b (pow a 2)) 2.0))
247.0ms	(sqrt (pow (fma b b (pow a 2)) 2.0))
223.0ms	(cbrt (pow (fma a a (pow b 2)) 2.0))
247.0ms	(cbrt (pow (fma a a (pow b 2)) 2.0))

simplify2.3s

Counts

88 → 88

Iterations

Iter	Nodes
done	5001
4	4658
3	1086
2	364
1	171
0	97

prune1.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize105.0ms

Local error

Found 4 expressions with local error:

22.0b	(cbrt (pow (fma a a (* b b)) 2.0))
22.0b	(cbrt (pow (fma a a (* b b)) 2.0))
22.0b	(cbrt (pow (fma a a (pow b 2)) 2.0))
22.0b	(cbrt (pow (fma a a (pow b 2)) 2.0))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
12×	`add-sqr-sqrt` `unpow-prod-down` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `add-log-exp` `sqr-pow`

Counts

4 → 68

Calls

4 calls:

3.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
3.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
3.0ms	(cbrt (pow (fma a a (pow b 2)) 2.0))
3.0ms	(cbrt (pow (fma a a (pow b 2)) 2.0))

series963.0ms

Counts

4 → 12

Calls

4 calls:

278.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
221.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
241.0ms	(cbrt (pow (fma a a (pow b 2)) 2.0))
222.0ms	(cbrt (pow (fma a a (pow b 2)) 2.0))

simplify1.7s

Counts

80 → 80

Iterations

Iter	Nodes
done	5004
4	3207
3	839
2	322
1	153
0	85

prune1.4s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes675.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	27
1	27
0	19

end0.0ms

sample4.0s

Algorithm

intervals

Results

3.3s

20523×

body

valid