Details

sample104.0ms

Algorithm

intervals

Results

70.0ms

627×

body

valid

simplify5.8s

Counts

1 → 1

Iterations

Useful iterations: 2 (21.0ms)

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

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)))

rewrite241.0ms

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:

142.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
45.0ms	(* (* a a) (+ 1.0 a))
17.0ms	(pow (+ (* a a) (* b b)) 2.0)
32.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

series426.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
95.0ms	(* (* a a) (+ 1.0 a))
144.0ms	(pow (+ (* a a) (* b b)) 2.0)
84.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

simplify2.0s

Counts

118 → 118

Iterations

Useful iterations: done (2.0s)

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

prune556.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

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))

rewrite45.0ms

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:

36.0ms	(* (* b b) (- 1.0 (* 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))

series645.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
186.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
215.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
170.0ms	(cbrt (pow (fma a a (* b b)) 2.0))

simplify3.2s

Counts

96 → 96

Iterations

Useful iterations: done (3.2s)

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

prune610.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize64.0ms

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))

rewrite12.0ms

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

series983.0ms

Counts

4 → 12

Calls

4 calls:

223.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
239.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
265.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
255.0ms	(cbrt (pow (fma a a (* b b)) 2.0))

simplify2.6s

Counts

80 → 80

Iterations

Useful iterations: 3 (145.0ms)

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

prune692.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize69.0ms

Local error

Found 4 expressions with local error:

11.7b	(sqrt (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))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

3.0ms	(sqrt (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))

series1.2s

Counts

4 → 12

Calls

4 calls:

506.0ms	(sqrt (pow (fma a a (* b b)) 2.0))
196.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
237.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
253.0ms	(cbrt (pow (fma a a (* b b)) 2.0))

simplify2.8s

Counts

84 → 84

Iterations

Useful iterations: 3 (123.0ms)

Iter	Nodes	Cost
0	82	1181
1	145	1143
2	284	1047
3	623	1038
4	1616	1038
5	4529	1038
done	5001	1038

prune544.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes289.0ms

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 (1.0ms)

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

end0.0ms

sample3.0s

Algorithm

intervals

Results

2.4s

20344×

body

valid