Details

sample95.0ms

Algorithm

intervals

Results

67.0ms

465×

body

valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
3	1049
2	250
1	70
0	28

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize90.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.2b	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b	(sqrt PI)

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

52×	`pow1`
35×	`add-cbrt-cube` `add-exp-log`
18×	`prod-exp` `cbrt-unprod`
17×	`add-sqr-sqrt`
15×	`associate-l`
14×	`*-un-lft-identity` `add-cube-cbrt`
12×	`pow-plus` `pow-prod-down` `pow-prod-up`
9×	`times-frac`
7×	`associate-r`
4×	`pow2` `expm1-log1p-u` `pow-sqr` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `*-commutative` `sqrt-prod`
2×	`pow3` `unswap-sqr`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*l/` `div-inv`

Counts

4 → 115

Calls

4 calls:

23.0ms	(* (* (fabs x) (fabs x)) (fabs x))
16.0ms	(* (* (fabs x) (fabs x)) (fabs x))
88.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms	(sqrt PI)

series154.0ms

Counts

4 → 10

Calls

4 calls:

44.0ms	(* (* (fabs x) (fabs x)) (fabs x))
50.0ms	(* (* (fabs x) (fabs x)) (fabs x))
60.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify2.3s

Counts

125 → 125

Iterations

Iter	Nodes
done	5000
2	2234
1	364
0	136

prune839.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize113.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.2b	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b	(sqrt PI)

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

52×	`pow1`
35×	`add-cbrt-cube` `add-exp-log`
18×	`prod-exp` `cbrt-unprod`
17×	`add-sqr-sqrt`
15×	`associate-l`
14×	`*-un-lft-identity` `add-cube-cbrt`
12×	`pow-plus` `pow-prod-down` `pow-prod-up`
9×	`times-frac`
7×	`associate-r`
4×	`pow2` `expm1-log1p-u` `pow-sqr` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `*-commutative` `sqrt-prod`
2×	`pow3` `unswap-sqr`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*l/` `div-inv`

Counts

4 → 115

Calls

4 calls:

26.0ms	(* (* (fabs x) (fabs x)) (fabs x))
15.0ms	(* (* (fabs x) (fabs x)) (fabs x))
62.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms	(sqrt PI)

series151.0ms

Counts

4 → 10

Calls

4 calls:

32.0ms	(* (* (fabs x) (fabs x)) (fabs x))
37.0ms	(* (* (fabs x) (fabs x)) (fabs x))
82.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify2.2s

Counts

125 → 125

Iterations

Iter	Nodes
done	5000
2	2234
1	369
0	138

prune801.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize67.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (fabs x) (fabs x)) (* (fabs x) (fabs x)))
0.2b	(* (* (fabs x) (fabs x)) (* (fabs x) (fabs x)))
0.2b	(* (* (fabs x) (fabs x)) (/ 1.0 21.0))
1.0b	(sqrt PI)

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

232×	`pow1`
72×	`pow-prod-up`
49×	`pow-prod-down`
44×	`pow-sqr`
40×	`add-cbrt-cube` `add-exp-log`
36×	`pow-plus`
26×	`pow2`
22×	`prod-exp` `cbrt-unprod`
16×	`add-sqr-sqrt`
15×	`associate-r`
12×	`*-un-lft-identity` `add-cube-cbrt`
10×	`times-frac`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`associate-l` `*-commutative` `sqrt-prod`
2×	`cbrt-undiv` `swap-sqr` `div-exp`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*r/` `div-inv`

Counts

4 → 182

Calls

4 calls:

33.0ms	(* (* (fabs x) (fabs x)) (* (fabs x) (fabs x)))
43.0ms	(* (* (fabs x) (fabs x)) (* (fabs x) (fabs x)))
41.0ms	(* (* (fabs x) (fabs x)) (/ 1.0 21.0))
2.0ms	(sqrt PI)

series107.0ms

Counts

4 → 10

Calls

4 calls:

29.0ms	(* (* (fabs x) (fabs x)) (* (fabs x) (fabs x)))
35.0ms	(* (* (fabs x) (fabs x)) (* (fabs x) (fabs x)))
43.0ms	(* (* (fabs x) (fabs x)) (/ 1.0 21.0))
0.0ms	(sqrt PI)

simplify3.4s

Counts

192 → 192

Iterations

Iter	Nodes
done	5002
2	3180
1	426
0	146

prune788.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize69.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (* (fabs x) (fabs x)) (/ 2.0 3.0) (/ (* 1.0 (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x)))) 5.0))
0.2b	(* (* (fabs x) (fabs x)) (* (fabs x) (fabs x)))
0.2b	(* (* (fabs x) (fabs x)) (/ 1.0 21.0))
1.0b	(sqrt PI)

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

121×	`pow1`
36×	`pow-prod-up`
28×	`add-cbrt-cube` `add-exp-log`
26×	`pow-prod-down`
22×	`pow-sqr`
18×	`pow-plus`
16×	`add-sqr-sqrt`
14×	`associate-r` `prod-exp` `cbrt-unprod`
13×	`pow2`
12×	`*-un-lft-identity` `add-cube-cbrt`
10×	`times-frac`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-prod` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `associate-l` `*-commutative`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `swap-sqr` `associate-*r/` `fma-udef` `div-inv`

Counts

4 → 127

Calls

4 calls:

1.0ms	(fma (* (fabs x) (fabs x)) (/ 2.0 3.0) (/ (* 1.0 (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x)))) 5.0))
35.0ms	(* (* (fabs x) (fabs x)) (* (fabs x) (fabs x)))
21.0ms	(* (* (fabs x) (fabs x)) (/ 1.0 21.0))
1.0ms	(sqrt PI)

series165.0ms

Counts

4 → 10

Calls

4 calls:

104.0ms	(fma (* (fabs x) (fabs x)) (/ 2.0 3.0) (/ (* 1.0 (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x)))) 5.0))
28.0ms	(* (* (fabs x) (fabs x)) (* (fabs x) (fabs x)))
33.0ms	(* (* (fabs x) (fabs x)) (/ 1.0 21.0))
0.0ms	(sqrt PI)

simplify3.5s

Counts

137 → 137

Iterations

Iter	Nodes
done	5000
2	3320
1	452
0	161

prune780.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes187.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	35
1	35
0	29

end0.0ms

sample3.2s

Algorithm

intervals

Results

3.0s

13963×

body

valid