Details

sample423.0ms

Algorithm

halfpoints

Results

simplify3.8s

Counts: 1 → 1

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 45.3b

localize149.0ms

Local error

Found 2 expressions with local error:

58.7b	(- (exp x) (exp (- x)))
0.1b	(* (/ (- (exp x) (exp (- x))) 2) (sin y))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
19×	`associate-l`
16×	`times-frac`
12×	`add-cube-cbrt`
7×	`add-cbrt-cube` `add-exp-log`
4×	`pow1` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`associate-r`
2×	`prod-exp` `cbrt-unprod` `insert-posit16` `unswap-sqr`
1×	`cbrt-undiv` `sub-neg` `flip3--` `diff-log` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv` `flip--`

Counts

2 → 54

Calls

2 calls:

Slowest

41.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
11.0ms	(- (exp x) (exp (- x)))

series191.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

126.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
65.0ms	(- (exp x) (exp (- x)))

simplify1.0s

Counts: 60 → 60

prune1.0s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize173.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 1/3 (* x x))
0.1b	(* (/ (+ (* x (+ (* 1/3 (* x x)) 2)) (* (pow x 5) 1/60)) 2) (sin y))
0.0b	(* (pow x 5) 1/60)
0.0b	(* x (+ (* 1/3 (* x x)) 2))

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
26×	`associate-l`
21×	`add-exp-log`
18×	`*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt`
13×	`pow1`
10×	`times-frac` `associate-r`
9×	`prod-exp`
7×	`cbrt-unprod` `unswap-sqr`
5×	`pow-prod-down`
4×	`unpow-prod-down` `*-commutative` `insert-posit16` `add-log-exp`
2×	`associate-*r/` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `cbrt-undiv` `distribute-lft-in` `flip3-+` `div-exp` `associate-*l/` `pow-exp` `flip-+` `div-inv`

Counts

4 → 102

Calls

4 calls:

Slowest

56.0ms	(* (/ (+ (* x (+ (* 1/3 (* x x)) 2)) (* (pow x 5) 1/60)) 2) (sin y))
52.0ms	(* x (+ (* 1/3 (* x x)) 2))
13.0ms	(* (pow x 5) 1/60)
13.0ms	(* 1/3 (* x x))

series385.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

137.0ms	(* (/ (+ (* x (+ (* 1/3 (* x x)) 2)) (* (pow x 5) 1/60)) 2) (sin y))
102.0ms	(* x (+ (* 1/3 (* x x)) 2))
95.0ms	(* (pow x 5) 1/60)
51.0ms	(* 1/3 (* x x))

simplify732.0ms

Counts: 114 → 114

prune2.5s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize149.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (* x (sqrt (+ (* 1/3 (* x x)) 2))) (sqrt (+ (* 1/3 (* x x)) 2)))
0.4b	(* x (sqrt (+ (* 1/3 (* x x)) 2)))
0.2b	(* 1/3 (* x x))
0.2b	(* 1/3 (* x x))

rewrite232.0ms

Algorithm

rewrite-expression-head

Rules

21×	`pow1` `add-cbrt-cube` `add-exp-log`
17×	`add-sqr-sqrt`
14×	`sqrt-div` `associate-r`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-l` `pow-prod-down` `prod-exp` `associate-*r/` `cbrt-unprod`
7×	`flip3-+` `sqrt-prod` `flip-+`
4×	`frac-times` `*-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`associate-*l/`

Counts

4 → 95

Calls

4 calls:

Slowest

119.0ms	(* (* x (sqrt (+ (* 1/3 (* x x)) 2))) (sqrt (+ (* 1/3 (* x x)) 2)))
70.0ms	(* x (sqrt (+ (* 1/3 (* x x)) 2)))
24.0ms	(* 1/3 (* x x))
16.0ms	(* 1/3 (* x x))

series353.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

148.0ms	(* (* x (sqrt (+ (* 1/3 (* x x)) 2))) (sqrt (+ (* 1/3 (* x x)) 2)))
144.0ms	(* x (sqrt (+ (* 1/3 (* x x)) 2)))
32.0ms	(* 1/3 (* x x))
29.0ms	(* 1/3 (* x x))

simplify1.4s

Counts: 107 → 107

prune2.7s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize181.0ms

Local error

Found 4 expressions with local error:

0.4b	(* x (sqrt (+ (* 1/3 (* x x)) 2)))
0.3b	(* (* x (sqrt (+ (* 1/3 (* x x)) 2))) (sqrt (sqrt (+ (* 1/3 (* x x)) 2))))
0.2b	(* (* (* x (sqrt (+ (* 1/3 (* x x)) 2))) (sqrt (sqrt (+ (* 1/3 (* x x)) 2)))) (sqrt (sqrt (+ (* 1/3 (* x x)) 2))))
0.2b	(* 1/3 (* x x))

rewrite831.0ms

Algorithm

rewrite-expression-head

Rules

110×	`sqrt-div`
36×	`associate-*r/`
34×	`flip3-+` `flip-+`
32×	`frac-times`
25×	`pow1` `add-cbrt-cube` `associate-r` `add-exp-log`
22×	`sqrt-prod`
19×	`add-sqr-sqrt`
16×	`associate-*l/`
14×	`*-un-lft-identity` `add-cube-cbrt`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`associate-l`
4×	`*-commutative` `insert-posit16` `add-log-exp`
3×	`unswap-sqr`

Counts

4 → 132

Calls

4 calls:

Slowest

523.0ms	(* (* (* x (sqrt (+ (* 1/3 (* x x)) 2))) (sqrt (sqrt (+ (* 1/3 (* x x)) 2)))) (sqrt (sqrt (+ (* 1/3 (* x x)) 2))))
194.0ms	(* (* x (sqrt (+ (* 1/3 (* x x)) 2))) (sqrt (sqrt (+ (* 1/3 (* x x)) 2))))
97.0ms	(* x (sqrt (+ (* 1/3 (* x x)) 2)))
13.0ms	(* 1/3 (* x x))

series701.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

314.0ms	(* (* x (sqrt (+ (* 1/3 (* x x)) 2))) (sqrt (sqrt (+ (* 1/3 (* x x)) 2))))
199.0ms	(* x (sqrt (+ (* 1/3 (* x x)) 2)))
134.0ms	(* (* (* x (sqrt (+ (* 1/3 (* x x)) 2))) (sqrt (sqrt (+ (* 1/3 (* x x)) 2)))) (sqrt (sqrt (+ (* 1/3 (* x x)) 2))))
53.0ms	(* 1/3 (* x x))

simplify1.5s

Counts: 144 → 144

prune3.2s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes815.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch9.0ms

end0.0ms

sample12.0s

Algorithm

halfpoints

Results