Details

sample767.0ms

Algorithm

halfpoints

Results

simplify4.5s

Counts: 1 → 1

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 41.9b

localize142.0ms

Local error

Found 4 expressions with local error:

57.0b	(- (exp x) (exp (- x)))
0.1b	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 126

Calls

4 calls:

Slowest

47.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
38.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
25.0ms	(- (exp x) (exp (- x)))
10.0ms	(+ (exp x) (exp (- x)))

series299.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

125.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
87.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
50.0ms	(- (exp x) (exp (- x)))
37.0ms	(+ (exp x) (exp (- x)))

simplify771.0ms

Counts: 138 → 138

prune1.9s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize139.0ms

Local error

Found 4 expressions with local error:

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

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

34×	`pow1`
23×	`add-cbrt-cube` `add-exp-log`
20×	`add-sqr-sqrt`
15×	`associate-l`
14×	`*-un-lft-identity` `add-cube-cbrt`
11×	`prod-exp` `cbrt-unprod`
10×	`times-frac` `pow-prod-down`
9×	`associate-r`
6×	`pow-plus` `pow-prod-up`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative` `unswap-sqr`
2×	`pow2` `pow-sqr`
1×	`cbrt-undiv` `div-exp` `pow3` `associate-*l/` `fma-udef` `div-inv`

Counts

4 → 101

Calls

4 calls:

Slowest

94.0ms	(* (* (* x x) x) 1/3)
26.0ms	(* (/ (fma x 2 (fma (pow x 5) 1/60 (* (* (* x x) x) 1/3))) 2) (sin y))
15.0ms	(* (* x x) x)
0.0ms	(fma (pow x 5) 1/60 (* (* (* x x) x) 1/3))

series420.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

206.0ms	(fma (pow x 5) 1/60 (* (* (* x x) x) 1/3))
115.0ms	(* (/ (fma x 2 (fma (pow x 5) 1/60 (* (* (* x x) x) 1/3))) 2) (sin y))
55.0ms	(* (* (* x x) x) 1/3)
43.0ms	(* (* x x) x)

simplify1.6s

Counts: 113 → 113

prune2.1s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize103.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (fma 2 x (fma (* x (* x x)) 1/3 (* (* (* (* x x) (* x x)) x) 1/60))) (/ 2 (sin y)))
0.1b	(* (* x x) (* x x))
0.1b	(fma (* x (* x x)) 1/3 (* (* (* (* x x) (* x x)) x) 1/60))
0.1b	(* x (* x x))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

129×	`pow1`
75×	`times-frac`
48×	`add-sqr-sqrt`
47×	`*-un-lft-identity` `add-cube-cbrt`
41×	`pow-prod-up`
26×	`add-cbrt-cube` `pow-prod-down` `add-exp-log`
23×	`pow-sqr`
19×	`pow-plus`
14×	`pow2`
13×	`associate-/r*`
11×	`prod-exp` `cbrt-unprod`
5×	`div-inv`
4×	`expm1-log1p-u` `associate-l` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-/l*`
2×	`associate-r` `*-commutative` `unswap-sqr`
1×	`clear-num` `frac-2neg` `cube-unmult` `swap-sqr` `associate-/r/` `fma-udef`

Counts

4 → 177

Calls

4 calls:

Slowest

29.0ms	(* (* x x) (* x x))
17.0ms	(* x (* x x))
8.0ms	(/ (fma 2 x (fma (* x (* x x)) 1/3 (* (* (* (* x x) (* x x)) x) 1/60))) (/ 2 (sin y)))
0.0ms	(fma (* x (* x x)) 1/3 (* (* (* (* x x) (* x x)) x) 1/60))

series451.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

204.0ms	(fma (* x (* x x)) 1/3 (* (* (* (* x x) (* x x)) x) 1/60))
128.0ms	(/ (fma 2 x (fma (* x (* x x)) 1/3 (* (* (* (* x x) (* x x)) x) 1/60))) (/ 2 (sin y)))
62.0ms	(* x (* x x))
57.0ms	(* (* x x) (* x x))

simplify801.0ms

Counts: 189 → 189

prune3.7s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize127.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.5b	(* (cbrt (sin y)) (cbrt (sin y)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 85

Calls

4 calls:

Slowest

23.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
2.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))

series620.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

181.0ms	(cbrt (sin y))
156.0ms	(cbrt (sin y))
149.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
133.0ms	(cbrt (sin y))

simplify2.6s

Counts: 97 → 97

prune2.3s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes276.0ms

Accuracy

0% (0.7b remaining)

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

bsearch7.0ms

end0.0ms

sample12.1s

Algorithm

halfpoints

Results