Details

sample91.0ms

Algorithm

intervals

Results

44.0ms

644×

body

valid

simplify3.3s

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

localize42.0ms

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)))

rewrite184.0ms

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:

94.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
24.0ms	(* (* a a) (+ 1.0 a))
9.0ms	(pow (+ (* a a) (* b b)) 2.0)
51.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

series385.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
72.0ms	(* (* a a) (+ 1.0 a))
151.0ms	(pow (+ (* a a) (* b b)) 2.0)
74.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

simplify503.0ms

Counts

118 → 118

Iterations

Iter	Nodes
done	5001
1	790
0	237

prune819.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

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))

rewrite30.0ms

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:

23.0ms	(* (* 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))

series821.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
234.0ms	(cbrt (pow (fma a a (pow b 2)) 2.0))
278.0ms	(cbrt (pow (fma a a (pow b 2)) 2.0))
227.0ms	(cbrt (pow (fma a a (pow b 2)) 2.0))

simplify1.6s

Counts

96 → 96

Iterations

Iter	Nodes
done	5000
2	1950
1	332
0	131

prune971.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize79.0ms

Local error

Found 4 expressions with local error:

10.3b	(cbrt (pow (fma b b (pow a 2)) (/ 2.0 2)))
10.3b	(cbrt (pow (fma b b (pow a 2)) (/ 2.0 2)))
22.0b	(cbrt (pow (fma a a (pow b 2)) 2.0))
22.0b	(cbrt (pow (fma a a (pow b 2)) 2.0))

rewrite8.0ms

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:

2.0ms	(cbrt (pow (fma b b (pow a 2)) (/ 2.0 2)))
2.0ms	(cbrt (pow (fma b b (pow a 2)) (/ 2.0 2)))
2.0ms	(cbrt (pow (fma a a (pow b 2)) 2.0))
2.0ms	(cbrt (pow (fma a a (pow b 2)) 2.0))

series898.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(cbrt (pow (fma b b (pow a 2)) (/ 2.0 2)))
220.0ms	(cbrt (pow (fma b b (pow a 2)) (/ 2.0 2)))
258.0ms	(cbrt (pow (fma a a (pow b 2)) 2.0))
221.0ms	(cbrt (pow (fma a a (pow b 2)) 2.0))

simplify739.0ms

Counts

80 → 80

Iterations

Iter	Nodes
done	5000
3	1390
2	431
1	194
0	104

prune1.0s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize165.0ms

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

rewrite8.0ms

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:

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

series894.0ms

Counts

4 → 12

Calls

4 calls:

232.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
195.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
234.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
232.0ms	(cbrt (pow (fma a a (pow b 2)) 2.0))

simplify1.5s

Counts

80 → 80

Iterations

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

prune1.2s

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes462.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	27
1	27
0	19

end0.0ms

sample4.0s

Algorithm

intervals

Results

3.3s

20523×

body

valid