Details

sample190.0ms

Algorithm

intervals

Results

161.0ms

454×

body

valid

simplify1.4s

Counts: 1 → 1

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize99.0ms

Local error

Found 4 expressions with local error:

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

rewrite684.0ms

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

593.0ms	(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
73.0ms	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
14.0ms	(* (* (fabs x) (fabs x)) (fabs x))
2.0ms	(sqrt PI)

series194.0ms

Counts

4 → 10

Calls

4 calls:

Slowest

98.0ms	(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
68.0ms	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
28.0ms	(* (* (fabs x) (fabs x)) (fabs x))
0.0ms	(sqrt PI)

simplify972.0ms

Counts: 151 → 151

prune2.9s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize113.0ms

Local error

Found 4 expressions with local error:

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

rewrite738.0ms

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

625.0ms	(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
76.0ms	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
31.0ms	(* (* (fabs x) (fabs x)) (fabs x))
2.0ms	(sqrt PI)

series155.0ms

Counts

4 → 10

Calls

4 calls:

Slowest

80.0ms	(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
49.0ms	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
26.0ms	(* (* (fabs x) (fabs x)) (fabs x))
0.0ms	(sqrt PI)

simplify714.0ms

Counts: 151 → 151

prune3.4s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize137.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt PI)
0.2b	(* (* (fabs x) (fabs x)) (sqrt (fabs x)))
0.1b	(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.1b	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))

rewrite724.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 144

Calls

4 calls:

Slowest

634.0ms	(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
71.0ms	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
15.0ms	(* (* (fabs x) (fabs x)) (sqrt (fabs x)))
1.0ms	(sqrt PI)

series208.0ms

Counts

4 → 10

Calls

4 calls:

Slowest

70.0ms	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
69.0ms	(* (* (fabs x) (fabs x)) (sqrt (fabs x)))
68.0ms	(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify780.0ms

Counts: 154 → 154

prune3.6s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt PI)
0.3b	(/ (+ (* (fabs x) 2) (* (* (fabs x) (fabs x)) (+ (+ (/ (* (* (fabs x) (fabs x)) (fabs x)) 5) (/ (* (fabs x) 2) 3)) (/ (* (* (fabs x) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) 21)))) (sqrt PI))
0.1b	(* (* (fabs x) (fabs x)) (+ (+ (/ (* (* (fabs x) (fabs x)) (fabs x)) 5) (/ (* (fabs x) 2) 3)) (/ (* (* (fabs x) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) 21)))
0.1b	(/ (* (* (fabs x) (fabs x)) (fabs x)) 5)

rewrite809.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
21×	`times-frac`
20×	`add-cbrt-cube` `add-exp-log`
15×	`sqrt-prod`
10×	`pow1`
9×	`associate-/r*`
6×	`prod-exp` `cbrt-unprod`
5×	`associate-r` `associate-*r/`
4×	`cbrt-undiv` `div-exp` `frac-add` `insert-posit16` `associate-/l*` `add-log-exp`
3×	`flip3-+` `pow-prod-down` `flip-+` `distribute-lft-out`
2×	`clear-num` `frac-2neg` `div-inv` `associate-/l/`
1×	`distribute-rgt-in` `rem-sqrt-square` `distribute-lft-in` `sqrt-pow1` `pow1/2` `associate-l` `*-commutative` `unswap-sqr`

Counts

4 → 109

Calls

4 calls:

Slowest

477.0ms	(/ (+ (* (fabs x) 2) (* (* (fabs x) (fabs x)) (+ (+ (/ (* (* (fabs x) (fabs x)) (fabs x)) 5) (/ (* (fabs x) 2) 3)) (/ (* (* (fabs x) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) 21)))) (sqrt PI))
311.0ms	(* (* (fabs x) (fabs x)) (+ (+ (/ (* (* (fabs x) (fabs x)) (fabs x)) 5) (/ (* (fabs x) 2) 3)) (/ (* (* (fabs x) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) 21)))
18.0ms	(/ (* (* (fabs x) (fabs x)) (fabs x)) 5)
2.0ms	(sqrt PI)

series644.0ms

Counts

4 → 10

Calls

4 calls:

Slowest

369.0ms	(/ (+ (* (fabs x) 2) (* (* (fabs x) (fabs x)) (+ (+ (/ (* (* (fabs x) (fabs x)) (fabs x)) 5) (/ (* (fabs x) 2) 3)) (/ (* (* (fabs x) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) 21)))) (sqrt PI))
220.0ms	(* (* (fabs x) (fabs x)) (+ (+ (/ (* (* (fabs x) (fabs x)) (fabs x)) 5) (/ (* (fabs x) 2) 3)) (/ (* (* (fabs x) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) 21)))
54.0ms	(/ (* (* (fabs x) (fabs x)) (fabs x)) 5)
0.0ms	(sqrt PI)

simplify1.6s

Counts: 119 → 119

prune1.7s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes188.0ms

Accuracy

0% (0.1b remaining)

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

bsearch10.0ms

end0.0ms

sample5.1s

Algorithm

intervals

Results

4.9s

13811×

body

valid