Details

sample105.0ms

Algorithm

intervals

Results

72.0ms

627×

body

valid

simplify4.8s

Counts

1 → 1

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	18	29
1	53	27
2	172	26
3	509	26
4	1497	26
5	3573	26
done	5000	26

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
0.0b	(* (* a a) (- 1.0 a))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.6b	(* (* b b) (+ 3.0 a))

rewrite261.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
22×	`add-cube-cbrt`
18×	`associate-*r/` `prod-diff`
17×	`pow1` `add-exp-log`
16×	`add-cbrt-cube`
13×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate-r`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-l`
4×	`expm1-log1p-u` `flip3-+` `frac-add` `flip-+` `log1p-expm1-u` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `flip3--` `*-commutative` `flip--` `unswap-sqr`
2×	`sub-neg`
1×	`pow-to-exp` `pow-pow` `pow-exp` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `sqr-pow`

Counts

4 → 120

Calls

4 calls:

123.0ms	(* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
44.0ms	(* (* a a) (- 1.0 a))
20.0ms	(pow (+ (* a a) (* b b)) 2.0)
64.0ms	(* (* b b) (+ 3.0 a))

series415.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
77.0ms	(* (* a a) (- 1.0 a))
160.0ms	(pow (+ (* a a) (* b b)) 2.0)
66.0ms	(* (* b b) (+ 3.0 a))

simplify3.0s

Counts

132 → 132

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	271	2229
1	747	1890
2	2835	1671
done	5001	1645

prune531.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (* b b) (+ 3.0 a))
19.0b	(cbrt (pow (fma a a (* b b)) 2.0))
19.0b	(cbrt (pow (fma a a (* b b)) 2.0))
19.0b	(cbrt (pow (fma a a (* b b)) 2.0))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

32.0ms	(* (* b b) (+ 3.0 a))
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))

series676.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (* b b) (+ 3.0 a))
197.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
217.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
211.0ms	(cbrt (pow (fma a a (* b b)) 2.0))

simplify2.4s

Counts

89 → 89

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	109	1189
1	258	1158
2	850	1035
3	3163	1026
done	5000	1026

prune385.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

19.0b	(cbrt (pow (fma a a (* b b)) 2.0))
19.0b	(cbrt (pow (fma a a (* b b)) 2.0))
19.0b	(cbrt (pow (fma a a (* b b)) 2.0))
19.0b	(cbrt (pow (fma a a (* b b)) 2.0))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `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 (* b b)) 2.0))

series708.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
176.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
178.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
183.0ms	(cbrt (pow (fma a a (* b b)) 2.0))

simplify2.0s

Counts

80 → 80

Iterations

Useful iterations: 3 (88.0ms)

Iter	Nodes	Cost
0	58	1188
1	104	1172
2	205	1064
3	465	1052
4	1215	1052
5	3417	1052
done	5001	1052

prune454.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

8.5b	(cbrt (pow (fma a a (* b b)) (/ 2.0 2)))
19.0b	(cbrt (pow (fma a a (* b b)) 2.0))
19.0b	(cbrt (pow (fma a a (* b b)) 2.0))
19.0b	(cbrt (pow (fma a a (* b b)) 2.0))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

series713.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt (pow (fma a a (* b b)) (/ 2.0 2)))
171.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
176.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
189.0ms	(cbrt (pow (fma a a (* b b)) 2.0))

simplify1.4s

Counts

80 → 80

Iterations

Useful iterations: 3 (150.0ms)

Iter	Nodes	Cost
0	91	1240
1	162	1217
2	328	1106
3	790	1094
4	2347	1094
done	5000	1094

prune498.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes282.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	29
1	25	29
done	25	29

end0.0ms

sample2.7s

Algorithm

intervals

Results

2.1s

20344×

body

valid