Details

sample137.0ms

Algorithm

intervals

Results

113.0ms

476×

body

valid

simplify2.6s

Counts: 1 → 1

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize81.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt PI)
0.1b	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.1b	(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.1b	(* (* (fabs x) (fabs x)) (fabs x))

rewrite663.0ms

Algorithm

rewrite-expression-head

Rules

115×	`add-exp-log`
75×	`add-cbrt-cube` `prod-exp`
53×	`pow1`
45×	`cbrt-unprod`
27×	`associate-l`
24×	`pow-prod-down`
22×	`add-sqr-sqrt`
20×	`*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac`
13×	`div-exp`
8×	`cbrt-undiv`
6×	`pow-plus` `pow-prod-up`
5×	`rec-exp` `1-exp` `associate-r`
4×	`insert-posit16` `add-log-exp`
3×	`*-commutative` `sqrt-prod`
2×	`pow2` `associate-*l/` `pow-sqr` `div-inv`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow3` `unswap-sqr`

Counts

4 → 141

Calls

4 calls:

Slowest

561.0ms	(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
79.0ms	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
19.0ms	(* (* (fabs x) (fabs x)) (fabs x))
1.0ms	(sqrt PI)

series167.0ms

Counts

4 → 10

Calls

4 calls:

Slowest

71.0ms	(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
55.0ms	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
41.0ms	(* (* (fabs x) (fabs x)) (fabs x))
0.0ms	(sqrt PI)

simplify1.1s

Counts: 151 → 151

prune2.6s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize131.0ms

Local error

Found 4 expressions with local error:

19.6b	(sqrt (* (* (fabs x) (fabs x)) (fabs x)))
19.6b	(sqrt (* (* (fabs x) (fabs x)) (fabs x)))
1.0b	(sqrt PI)
0.2b	(* (sqrt (* (* (fabs x) (fabs x)) (fabs x))) (sqrt (* (* (fabs x) (fabs x)) (fabs x))))

rewrite125.0ms

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×	`swap-sqr` `associate-r` `associate-l` `insert-posit16` `add-log-exp`
1×	`rem-sqrt-square` `rem-square-sqrt` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 256

Calls

4 calls:

Slowest

82.0ms	(* (sqrt (* (* (fabs x) (fabs x)) (fabs x))) (sqrt (* (* (fabs x) (fabs x)) (fabs x))))
21.0ms	(sqrt (* (* (fabs x) (fabs x)) (fabs x)))
12.0ms	(sqrt (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms	(sqrt PI)

series121.0ms

Counts

4 → 10

Calls

4 calls:

Slowest

48.0ms	(sqrt (* (* (fabs x) (fabs x)) (fabs x)))
38.0ms	(sqrt (* (* (fabs x) (fabs x)) (fabs x)))
35.0ms	(* (sqrt (* (* (fabs x) (fabs x)) (fabs x))) (sqrt (* (* (fabs x) (fabs x)) (fabs x))))
0.0ms	(sqrt PI)

simplify7.0s

Counts: 266 → 266

prune4.8s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize89.0ms

Local error

Found 4 expressions with local error:

28.6b	(sqrt (* (fabs x) (fabs x)))
19.6b	(sqrt (* (* (fabs x) (fabs x)) (fabs x)))
1.0b	(sqrt PI)
0.2b	(* (sqrt (* (fabs x) (fabs x))) (sqrt (fabs x)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

54×	`pow1`
35×	`sqrt-pow1`
17×	`pow-prod-up`
15×	`add-sqr-sqrt`
14×	`sqrt-prod`
9×	`pow-plus` `pow1/2` `pow-prod-down`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`add-cbrt-cube` `associate-r` `add-exp-log`
5×	`pow2` `pow-sqr`
4×	`associate-l` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`rem-sqrt-square` `pow3`
1×	`sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 92

Calls

4 calls:

Slowest

23.0ms	(* (sqrt (* (fabs x) (fabs x))) (sqrt (fabs x)))
10.0ms	(sqrt (* (* (fabs x) (fabs x)) (fabs x)))
3.0ms	(sqrt (* (fabs x) (fabs x)))
1.0ms	(sqrt PI)

series99.0ms

Counts

4 → 10

Calls

4 calls:

Slowest

53.0ms	(sqrt (* (* (fabs x) (fabs x)) (fabs x)))
44.0ms	(* (sqrt (* (fabs x) (fabs x))) (sqrt (fabs x)))
2.0ms	(sqrt (* (fabs x) (fabs x)))
0.0ms	(sqrt PI)

simplify1.6s

Counts: 102 → 102

prune2.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize128.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt PI)
0.2b	(* (* (fabs x) (fabs x)) 2/3)
0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.1b	(* (* (fabs x) (fabs x)) (fabs x))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

Slowest

28.0ms	(* (* (fabs x) (fabs x)) 2/3)
27.0ms	(* (* (fabs x) (fabs x)) (fabs x))
14.0ms	(* (* (fabs x) (fabs x)) (fabs x))
2.0ms	(sqrt PI)

series132.0ms

Counts

4 → 10

Calls

4 calls:

Slowest

52.0ms	(* (* (fabs x) (fabs x)) 2/3)
44.0ms	(* (* (fabs x) (fabs x)) (fabs x))
36.0ms	(* (* (fabs x) (fabs x)) (fabs x))
0.0ms	(sqrt PI)

simplify1.1s

Counts: 102 → 102

prune1.8s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes114.0ms

Accuracy

0% (0.2b remaining)

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

bsearch16.0ms

end0.0ms

sample4.7s

Algorithm

intervals

Results

4.4s

13996×

body

valid