Details

sample196.0ms

Algorithm

intervals

Results

135.0ms

478×

body

valid

simplify5.3s

Counts

1 → 1

Iterations

Iter	Nodes
4	5586
3	1256
2	259
1	73
0	28

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize67.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.1b	(* (* (fabs x) (fabs x)) (fabs x))
1.0b	(sqrt PI)

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

62×	`pow1`
19×	`add-cbrt-cube` `add-exp-log`
18×	`pow-plus` `pow-prod-up`
12×	`add-sqr-sqrt`
9×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`pow2` `pow-sqr`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `pow3` `*-commutative` `sqrt-prod` `unswap-sqr`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 109

Calls

4 calls:

23.0ms	(* (* (fabs x) (fabs x)) (fabs x))
38.0ms	(* (* (fabs x) (fabs x)) (fabs x))
31.0ms	(* (* (fabs x) (fabs x)) (fabs x))
2.0ms	(sqrt PI)

series101.0ms

Counts

4 → 10

Calls

4 calls:

27.0ms	(* (* (fabs x) (fabs x)) (fabs x))
46.0ms	(* (* (fabs x) (fabs x)) (fabs x))
28.0ms	(* (* (fabs x) (fabs x)) (fabs x))
0.0ms	(sqrt PI)

simplify4.1s

Counts

119 → 119

Iterations

Iter	Nodes
4	5047
3	1469
2	481
1	167
0	75

prune644.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize119.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt (* (* (fabs x) (fabs x)) (fabs x))) (sqrt (* (* (fabs x) (fabs x)) (fabs x))))
1.0b	(sqrt PI)
18.4b	(sqrt (* (* (fabs x) (fabs x)) (fabs x)))
18.4b	(sqrt (* (* (fabs x) (fabs x)) (fabs x)))

rewrite191.0ms

Algorithm

rewrite-expression-head

Rules

600×	`pow1`
347×	`sqrt-pow1`
298×	`pow-prod-up`
201×	`pow-plus`
102×	`pow-prod-down`
92×	`pow-sqr`
57×	`pow2`
24×	`pow3`
15×	`pow1/2`
12×	`add-sqr-sqrt`
9×	`*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
6×	`add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`rem-sqrt-square` `rem-square-sqrt` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 264

Calls

4 calls:

120.0ms	(* (sqrt (* (* (fabs x) (fabs x)) (fabs x))) (sqrt (* (* (fabs x) (fabs x)) (fabs x))))
2.0ms	(sqrt PI)
30.0ms	(sqrt (* (* (fabs x) (fabs x)) (fabs x)))
22.0ms	(sqrt (* (* (fabs x) (fabs x)) (fabs x)))

series116.0ms

Counts

4 → 10

Calls

4 calls:

27.0ms	(* (sqrt (* (* (fabs x) (fabs x)) (fabs x))) (sqrt (* (* (fabs x) (fabs x)) (fabs x))))
0.0ms	(sqrt PI)
45.0ms	(sqrt (* (* (fabs x) (fabs x)) (fabs x)))
44.0ms	(sqrt (* (* (fabs x) (fabs x)) (fabs x)))

simplify9.1s

Counts

274 → 274

Iterations

Iter	Nodes
4	11528
3	1626
2	373
1	186
0	101

prune774.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize107.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (fabs x) (fabs x)) (fabs x))
1.0b	(sqrt PI)
18.4b	(sqrt (* (* (fabs x) (fabs x)) (fabs x)))
25.8b	(sqrt (* (fabs x) (fabs x)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

52×	`pow1`
19×	`sqrt-pow1`
13×	`pow-plus` `pow-prod-up`
9×	`add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt`
7×	`pow-prod-down`
6×	`*-un-lft-identity` `add-cube-cbrt`
5×	`pow2` `pow-sqr` `sqrt-prod`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/2` `associate-r` `prod-exp` `cbrt-unprod`
2×	`rem-sqrt-square` `pow3`
1×	`associate-l` `*-commutative` `unswap-sqr`

Counts

4 → 90

Calls

4 calls:

27.0ms	(* (* (fabs x) (fabs x)) (fabs x))
1.0ms	(sqrt PI)
13.0ms	(sqrt (* (* (fabs x) (fabs x)) (fabs x)))
8.0ms	(sqrt (* (fabs x) (fabs x)))

series88.0ms

Counts

4 → 10

Calls

4 calls:

39.0ms	(* (* (fabs x) (fabs x)) (fabs x))
0.0ms	(sqrt PI)
46.0ms	(sqrt (* (* (fabs x) (fabs x)) (fabs x)))
3.0ms	(sqrt (* (fabs x) (fabs x)))

simplify2.4s

Counts

100 → 100

Iterations

Iter	Nodes
4	3460
3	969
2	281
1	135
0	86

prune819.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize117.0ms

Local error

Found 4 expressions with local error:

18.1b	(sqrt (sqrt (* (* (fabs x) (fabs x)) (fabs x))))
18.4b	(sqrt (* (* (fabs x) (fabs x)) (fabs x)))
18.4b	(sqrt (* (* (fabs x) (fabs x)) (fabs x)))
18.4b	(sqrt (* (* (fabs x) (fabs x)) (fabs x)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

85×	`pow1`
62×	`sqrt-pow1`
24×	`pow-plus` `pow-prod-up`
12×	`pow-prod-down`
8×	`pow2` `pow-sqr` `sqrt-prod`
6×	`add-sqr-sqrt`
5×	`*-un-lft-identity` `pow1/2` `add-cube-cbrt`
4×	`expm1-log1p-u` `add-cbrt-cube` `pow3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`rem-sqrt-square`

Counts

4 → 102

Calls

4 calls:

18.0ms	(sqrt (sqrt (* (* (fabs x) (fabs x)) (fabs x))))
12.0ms	(sqrt (* (* (fabs x) (fabs x)) (fabs x)))
12.0ms	(sqrt (* (* (fabs x) (fabs x)) (fabs x)))
30.0ms	(sqrt (* (* (fabs x) (fabs x)) (fabs x)))

series319.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(sqrt (sqrt (* (* (fabs x) (fabs x)) (fabs x))))
44.0ms	(sqrt (* (* (fabs x) (fabs x)) (fabs x)))
48.0ms	(sqrt (* (* (fabs x) (fabs x)) (fabs x)))
50.0ms	(sqrt (* (* (fabs x) (fabs x)) (fabs x)))

simplify1.9s

Counts

114 → 114

Iterations

Iter	Nodes
6	2943
5	959
4	413
3	223
2	117
1	81
0	56

prune767.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes335.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify29.0ms

Iterations

Iter	Nodes
2	55
1	55
0	35

end0.0ms

sample5.6s

Algorithm

intervals

Results

5.3s

14057×

body

valid