Details

sample466.0ms

Algorithm

halfpoints

Results

simplify3.8s

Counts: 1 → 1

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.7b

localize73.0ms

Local error

Found 3 expressions with local error:

58.5b	(- (exp x) (exp (- x)))
0.1b	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
0.0b	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
35×	`associate-l`
29×	`times-frac` `add-cube-cbrt`
13×	`add-cbrt-cube` `add-exp-log`
9×	`prod-diff`
7×	`pow1`
6×	`associate-r`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
3×	`expm1-log1p-u` `fma-neg` `insert-posit16` `log1p-expm1-u` `distribute-lft-out`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 108

Calls

3 calls:

Slowest

46.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
38.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
17.0ms	(- (exp x) (exp (- x)))

series214.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

90.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
75.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
49.0ms	(- (exp x) (exp (- x)))

simplify621.0ms

Counts: 117 → 117

prune1.8s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize125.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 1/3 (* x x))
0.1b	(* (/ (fma 2 x (fma 1/60 (pow x 5) (* (* 1/3 (* x x)) x))) 2) (sin y))
0.1b	(* (* 1/3 (* x x)) x)
0.0b	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))

rewrite449.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
33×	`associate-l`
29×	`*-un-lft-identity`
28×	`add-cbrt-cube` `add-exp-log`
23×	`times-frac` `add-cube-cbrt`
22×	`pow1`
13×	`prod-exp` `cbrt-unprod`
11×	`pow-prod-down`
10×	`associate-r`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-out`
2×	`cbrt-undiv` `div-exp` `associate-*l/` `div-inv`

Counts

4 → 119

Calls

4 calls:

Slowest

375.0ms	(* (* 1/3 (* x x)) x)
46.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
14.0ms	(* 1/3 (* x x))
13.0ms	(* (/ (fma 2 x (fma 1/60 (pow x 5) (* (* 1/3 (* x x)) x))) 2) (sin y))

series282.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

118.0ms	(* (/ (fma 2 x (fma 1/60 (pow x 5) (* (* 1/3 (* x x)) x))) 2) (sin y))
77.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
50.0ms	(* (* 1/3 (* x x)) x)
36.0ms	(* 1/3 (* x x))

simplify656.0ms

Counts: 131 → 131

prune2.6s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize177.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ 1 (sqrt 2))
0.4b	(/ (fma 2 x (fma 1/60 (pow x 5) (* (* 1/3 (* x x)) x))) (sqrt 2))
0.3b	(* (/ 1 (sqrt 2)) (* (/ (fma 2 x (fma 1/60 (pow x 5) (* (* 1/3 (* x x)) x))) (sqrt 2)) (sin y)))
0.2b	(* (/ (fma 2 x (fma 1/60 (pow x 5) (* (* 1/3 (* x x)) x))) (sqrt 2)) (sin y))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

74×	`times-frac`
69×	`add-sqr-sqrt`
61×	`*-un-lft-identity` `add-cube-cbrt`
54×	`add-exp-log`
44×	`associate-l`
43×	`sqrt-prod`
34×	`add-cbrt-cube`
22×	`prod-exp`
14×	`div-exp`
13×	`pow1`
12×	`associate-/r*` `cbrt-unprod`
8×	`cbrt-undiv`
6×	`associate-/l*`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `associate-r` `pow-prod-down` `associate-*l/` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`pow-flip` `unswap-sqr`
2×	`clear-num` `frac-2neg` `*-commutative`
1×	`frac-times` `sqrt-pow1` `pow1/2` `associate-*r/` `inv-pow`

Counts

4 → 192

Calls

4 calls:

Slowest

40.0ms	(* (/ 1 (sqrt 2)) (* (/ (fma 2 x (fma 1/60 (pow x 5) (* (* 1/3 (* x x)) x))) (sqrt 2)) (sin y)))
17.0ms	(* (/ (fma 2 x (fma 1/60 (pow x 5) (* (* 1/3 (* x x)) x))) (sqrt 2)) (sin y))
5.0ms	(/ 1 (sqrt 2))
5.0ms	(/ (fma 2 x (fma 1/60 (pow x 5) (* (* 1/3 (* x x)) x))) (sqrt 2))

series636.0ms

Counts

4 → 10

Calls

4 calls:

Slowest

285.0ms	(* (/ 1 (sqrt 2)) (* (/ (fma 2 x (fma 1/60 (pow x 5) (* (* 1/3 (* x x)) x))) (sqrt 2)) (sin y)))
178.0ms	(* (/ (fma 2 x (fma 1/60 (pow x 5) (* (* 1/3 (* x x)) x))) (sqrt 2)) (sin y))
173.0ms	(/ (fma 2 x (fma 1/60 (pow x 5) (* (* 1/3 (* x x)) x))) (sqrt 2))
0.0ms	(/ 1 (sqrt 2))

simplify1.0s

Counts: 202 → 202

prune4.6s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize157.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2)))
1.0b	(/ 1 (sqrt (sqrt 2)))
0.4b	(/ (fma 2 x (fma 1/60 (pow x 5) (* (* 1/3 (* x x)) x))) (sqrt 2))
0.3b	(* (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* (/ (fma 2 x (fma 1/60 (pow x 5) (* (* 1/3 (* x x)) x))) (sqrt 2)) (sin y)))

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

1128×	`sqrt-prod`
1116×	`times-frac`
592×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
283×	`associate-l`
79×	`add-exp-log`
49×	`add-cbrt-cube`
37×	`associate-/l*`
32×	`div-exp`
25×	`prod-exp`
24×	`associate-/r*`
23×	`pow1` `div-inv`
20×	`sqrt-pow1`
17×	`cbrt-undiv`
15×	`cbrt-unprod`
14×	`pow-flip`
10×	`pow1/2` `pow-div`
5×	`rec-exp` `1-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `pow-prod-down` `associate-*l/`
2×	`inv-pow`
1×	`frac-times` `associate-r` `associate-r/` `-commutative` `associate-/l/`

Counts

4 → 777

Calls

4 calls:

Slowest

69.0ms	(* (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* (/ (fma 2 x (fma 1/60 (pow x 5) (* (* 1/3 (* x x)) x))) (sqrt 2)) (sin y)))
12.0ms	(/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2)))
9.0ms	(/ (fma 2 x (fma 1/60 (pow x 5) (* (* 1/3 (* x x)) x))) (sqrt 2))
6.0ms	(/ 1 (sqrt (sqrt 2)))

series442.0ms

Counts

4 → 8

Calls

4 calls:

Slowest

264.0ms	(* (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* (/ (fma 2 x (fma 1/60 (pow x 5) (* (* 1/3 (* x x)) x))) (sqrt 2)) (sin y)))
178.0ms	(/ (fma 2 x (fma 1/60 (pow x 5) (* (* 1/3 (* x x)) x))) (sqrt 2))
0.0ms	(/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2)))
0.0ms	(/ 1 (sqrt (sqrt 2)))

simplify1.5s

Counts: 785 → 785

prune21.0s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes354.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch10.0ms

end0.0ms

sample12.2s

Algorithm

halfpoints

Results