Details

sample93.0ms

Algorithm

intervals

Results

65.0ms

627×

body

valid

simplify5.8s

Counts

1 → 1

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	19	31
1	55	29
2	178	28
3	545	28
4	1672	28
5	4797	28
done	5000	28

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
0.0b	(* (* a a) (+ 1.0 a))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.5b	(* (* b b) (- 1.0 (* 3.0 a)))

rewrite259.0ms

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×	`unpow-prod-down` `pow-unpow` `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:

146.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
42.0ms	(* (* a a) (+ 1.0 a))
19.0ms	(pow (+ (* a a) (* b b)) 2.0)
46.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

series572.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
127.0ms	(* (* a a) (+ 1.0 a))
180.0ms	(pow (+ (* a a) (* b b)) 2.0)
121.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

simplify2.2s

Counts

118 → 118

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	238	1961
1	700	1783
2	2963	1607
done	5000	1596

prune611.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (* b b) (- 1.0 (* 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))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
14×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `add-exp-log` `unpow-prod-down` `add-cbrt-cube`
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:

42.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
4.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
4.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
5.0ms	(cbrt (pow (fma a a (* b b)) 2.0))

series981.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
258.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
338.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
306.0ms	(cbrt (pow (fma a a (* b b)) 2.0))

simplify4.0s

Counts

96 → 96

Iterations

Useful iterations: done (4.0s)

Iter	Nodes	Cost
0	131	1430
1	303	1413
2	865	1248
3	3061	1230
done	5000	1194

prune628.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize50.0ms

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))

rewrite20.0ms

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:

4.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
4.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
4.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
4.0ms	(cbrt (pow (fma a a (* b b)) 2.0))

series1.2s

Counts

4 → 12

Calls

4 calls:

272.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
272.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
351.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
283.0ms	(cbrt (pow (fma a a (* b b)) 2.0))

simplify3.0s

Counts

80 → 80

Iterations

Useful iterations: 3 (155.0ms)

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

prune724.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize66.0ms

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))

rewrite14.0ms

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:

5.0ms	(cbrt (pow (fma a a (* b b)) (/ 2.0 2)))
3.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
3.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
2.0ms	(cbrt (pow (fma a a (* b b)) 2.0))

series1.1s

Counts

4 → 12

Calls

4 calls:

276.0ms	(cbrt (pow (fma a a (* b b)) (/ 2.0 2)))
236.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
330.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
271.0ms	(cbrt (pow (fma a a (* b b)) 2.0))

simplify2.1s

Counts

80 → 80

Iterations

Useful iterations: 3 (221.0ms)

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

prune768.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes509.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	31
1	27	31
done	27	31

end0.0ms

sample3.8s

Algorithm

intervals

Results

3.1s

20344×

body

valid