Details

sample217.0ms

Algorithm

halfpoints

Results

simplify186.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

186.0ms

(re (complex (* (/ (+ (exp x) (exp (- x))) 2) (cos y)) (* (/ (- (exp x) (exp (- x))) 2) (sin y))))

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (cos y) (exp x))
0.0b	(fma (cos y) (exp x) (/ (cos y) (exp x)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube`
3×	`associate-/r` `add-exp-log` `associate-/l`
2×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `fma-udef` `div-inv`

Counts

2 → 41

Calls

2 calls:

Slowest

20.0ms	(/ (cos y) (exp x))
0.0ms	(fma (cos y) (exp x) (/ (cos y) (exp x)))

series145.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

102.0ms	(fma (cos y) (exp x) (/ (cos y) (exp x)))
43.0ms	(/ (cos y) (exp x))

simplify877.0ms

Counts

31 → 47

Calls

31 calls:

Slowest

442.0ms	(/ (* (* (cos y) (cos y)) (cos y)) (* (* (exp x) (exp x)) (exp x)))
115.0ms	(- 1 (+ (* 1/2 (pow y 2)) x))
81.0ms	(- (+ (pow x 2) 2) (pow y 2))
40.0ms	(/ (* (cbrt (cos y)) (cbrt (cos y))) (* (cbrt (exp x)) (cbrt (exp x))))
29.0ms	(/ (* (cbrt (cos y)) (cbrt (cos y))) 1)

prune529.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (cos y) (exp x))
0.0b	(* (cos y) (exp x))
0.0b	(+ (* (cos y) (exp x)) (/ (cos y) (exp x)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
7×	`add-cbrt-cube`
5×	`pow1` `add-exp-log` `add-log-exp`
3×	`expm1-log1p-u` `associate-/r` `associate-r` `associate-l` `insert-posit16` `log1p-expm1-u` `associate-/l`
2×	`div-inv`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `fma-def` `frac-2neg` `flip3-+` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

3 → 67

Calls

3 calls:

Slowest

29.0ms	(+ (* (cos y) (exp x)) (/ (cos y) (exp x)))
25.0ms	(* (cos y) (exp x))
19.0ms	(/ (cos y) (exp x))

series187.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

87.0ms	(+ (* (cos y) (exp x)) (/ (cos y) (exp x)))
52.0ms	(/ (cos y) (exp x))
48.0ms	(* (cos y) (exp x))

simplify1.6s

Counts

48 → 76

Calls

48 calls:

Slowest

467.0ms	(/ (* (* (cos y) (cos y)) (cos y)) (* (* (exp x) (exp x)) (exp x)))
315.0ms	(* (* (* (cos y) (cos y)) (cos y)) (* (* (exp x) (exp x)) (exp x)))
177.0ms	(* (exp (* (cos y) (exp x))) (exp (/ (cos y) (exp x))))
119.0ms	(- 1 (+ (* 1/2 (pow y 2)) x))
76.0ms	(- (+ x 1) (* 1/2 (pow y 2)))

prune793.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize41.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (exp x))
0.0b	(* (cos y) (+ (exp x) (/ 1 (exp x))))
0.0b	(+ (exp x) (/ 1 (exp x)))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
15×	`add-cube-cbrt`
9×	`times-frac`
7×	`add-cbrt-cube`
6×	`pow1` `add-exp-log`
5×	`associate-r` `add-log-exp`
4×	`pow-flip` `distribute-lft-out`
3×	`expm1-log1p-u` `exp-prod` `associate-/r` `fma-def` `associate-l` `insert-posit16` `log1p-expm1-u` `div-inv` `associate-/l`
2×	`flip3-+` `div-exp` `associate-*r/` `flip-+`
1×	`distribute-rgt-in` `cbrt-undiv` `+-commutative` `rec-exp` `clear-num` `sum-log` `frac-2neg` `distribute-lft-in` `1-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `inv-pow` `unswap-sqr`

Counts

3 → 83

Calls

3 calls:

Slowest

74.0ms	(* (cos y) (+ (exp x) (/ 1 (exp x))))
22.0ms	(+ (exp x) (/ 1 (exp x)))
13.0ms	(/ 1 (exp x))

series123.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

57.0ms	(* (cos y) (+ (exp x) (/ 1 (exp x))))
46.0ms	(+ (exp x) (/ 1 (exp x)))
19.0ms	(/ 1 (exp x))

simplify1.7s

Counts

60 → 92

Calls

60 calls:

Slowest

234.0ms	(* (* (* (cos y) (cos y)) (cos y)) (* (* (+ (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x)))) (+ (exp x) (/ 1 (exp x)))))
187.0ms	(+ (* (exp x) (exp x)) (- (* (/ 1 (exp x)) (/ 1 (exp x))) (* (exp x) (/ 1 (exp x)))))
126.0ms	(/ (* (* 1 1) 1) (* (* (exp x) (exp x)) (exp x)))
92.0ms	(* (cos y) (+ (exp x) (/ 1 (exp x))))
89.0ms	(- (+ (* 1/2 (pow x 2)) 1) x)

prune957.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes46.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample5.1s

Algorithm

halfpoints

Results