Details

sample42.0ms

Algorithm

intervals

Results

27.0ms

660×

body

valid

simplify3.6s

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	12	17
1	26	16
2	49	15
3	80	15
4	136	15
5	284	15
6	886	15
7	3852	15
done	5001	15

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0))
0.0b	(- (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)) 1.0)
0.0b	(fma a a (* b b))
0.3b	(pow (fma a a (* b b)) 2.0)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity`
13×	`add-cube-cbrt`
9×	`prod-diff`
6×	`add-log-exp`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`unpow-prod-down` `pow-unpow` `fma-neg` `fma-udef`
1×	`pow-to-exp` `sub-neg` `flip3--` `pow-pow` `diff-log` `pow-exp` `associate--l+` `flip--` `distribute-lft-out--` `difference-of-squares` `sqr-pow`

Counts

4 → 68

Calls

4 calls:

0.0ms	(fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0))
4.0ms	(- (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)) 1.0)
0.0ms	(fma a a (* b b))
2.0ms	(pow (fma a a (* b b)) 2.0)

series280.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0))
68.0ms	(- (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)) 1.0)
37.0ms	(fma a a (* b b))
111.0ms	(pow (fma a a (* b b)) 2.0)

simplify1.1s

Counts

80 → 80

Iterations

Useful iterations: 3 (340.0ms)

Iter	Nodes	Cost
0	131	1429
1	257	1298
2	648	1144
3	2320	1034
done	5000	1034

prune215.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (pow (fma a a (* b b)) 2.0)) (cbrt (pow (fma a a (* b b)) 2.0)))
19.5b	(cbrt (pow (fma a a (* b b)) 2.0))
19.5b	(cbrt (pow (fma a a (* b b)) 2.0))
19.5b	(cbrt (pow (fma a a (* b b)) 2.0))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

73×	`cbrt-prod`
46×	`add-sqr-sqrt`
29×	`unpow-prod-down`
22×	`add-cube-cbrt` `*-un-lft-identity`
16×	`unswap-sqr`
15×	`sqr-pow`
11×	`pow1`
10×	`swap-sqr` `associate-r` `associate-l`
9×	`pow1/3`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 117

Calls

4 calls:

14.0ms	(* (cbrt (pow (fma a a (* b b)) 2.0)) (cbrt (pow (fma a a (* b b)) 2.0)))
1.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
1.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
1.0ms	(cbrt (pow (fma a a (* b b)) 2.0))

series638.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(* (cbrt (pow (fma a a (* b b)) 2.0)) (cbrt (pow (fma a a (* b b)) 2.0)))
157.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
160.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
160.0ms	(cbrt (pow (fma a a (* b b)) 2.0))

simplify2.0s

Counts

129 → 129

Iterations

Useful iterations: 4 (1.1s)

Iter	Nodes	Cost
0	122	2774
1	212	2629
2	519	2385
3	1406	2197
4	3787	2186
done	5000	2186

prune464.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

8.1b	(cbrt (fma a a (* b b)))
13.0b	(cbrt (pow (* (cbrt (fma a a (* b b))) (cbrt (fma a a (* b b)))) 2.0))
19.5b	(cbrt (pow (fma a a (* b b)) 2.0))
19.5b	(cbrt (pow (fma a a (* b b)) 2.0))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 62

Calls

4 calls:

0.0ms	(cbrt (fma a a (* b b)))
1.0ms	(cbrt (pow (* (cbrt (fma a a (* b b))) (cbrt (fma a a (* b b)))) 2.0))
1.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
1.0ms	(cbrt (pow (fma a a (* b b)) 2.0))

series579.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(cbrt (fma a a (* b b)))
163.0ms	(cbrt (pow (* (cbrt (fma a a (* b b))) (cbrt (fma a a (* b b)))) 2.0))
156.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
158.0ms	(cbrt (pow (fma a a (* b b)) 2.0))

simplify1.5s

Counts

74 → 74

Iterations

Useful iterations: 3 (155.0ms)

Iter	Nodes	Cost
0	112	1202
1	210	1189
2	456	1077
3	1167	1065
4	3409	1065
done	5001	1065

prune433.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

19.5b	(cbrt (pow (fma a a (* b b)) 2.0))
19.5b	(cbrt (pow (fma a a (* b b)) 2.0))
19.5b	(cbrt (pow (fma a a (* b b)) 2.0))
19.5b	(cbrt (pow (fma a a (* b b)) 2.0))

rewrite7.0ms

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:

1.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
2.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
1.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
1.0ms	(cbrt (pow (fma a a (* b b)) 2.0))

series657.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
152.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
174.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
159.0ms	(cbrt (pow (fma a a (* b b)) 2.0))

simplify2.6s

Counts

80 → 80

Iterations

Useful iterations: 3 (66.0ms)

Iter	Nodes	Cost
0	58	1188
1	104	1172
2	214	1064
3	512	1052
4	1438	1052
5	4880	1052
done	5000	1052

prune341.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 0.0b

regimes153.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	15
1	12	15
done	12	15

end0.0ms

sample1.1s

Algorithm

intervals

Results

762.0ms

20612×

body

valid