Details

sample284.0ms

Algorithm

intervals

Results

106.0ms	83×	body	640	valid
94.0ms	96×	body	1280	valid
41.0ms	277×	body	80	valid
18.0ms	38×	body	320	valid
5.0ms	15×	body	160	valid

simplify182.0ms

Calls

1 calls:

Slowest

182.0ms

(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (sin re) (exp im))
0.0b	(fma (sin re) (exp im) (/ (sin re) (exp im)))

rewrite5.0ms

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`

Calls

2 calls:

Slowest

4.0ms	(/ (sin re) (exp im))
0.0ms	(fma (sin re) (exp im) (/ (sin re) (exp im)))

series122.0ms

Calls

2 calls:

Slowest

88.0ms	(fma (sin re) (exp im) (/ (sin re) (exp im)))
34.0ms	(/ (sin re) (exp im))

simplify1.2s

Calls

31 calls:

Slowest

401.0ms	(- re (+ (* re im) (* 1/6 (pow re 3))))
320.0ms	(- (+ (* 2 re) (* re (pow im 2))) (* 1/3 (pow re 3)))
183.0ms	(/ (* (* (sin re) (sin re)) (sin re)) (* (* (exp im) (exp im)) (exp im)))
35.0ms	(/ (* (cbrt (sin re)) (cbrt (sin re))) (* (cbrt (exp im)) (cbrt (exp im))))
28.0ms	(/ (* (cbrt (sin re)) (cbrt (sin re))) 1)

prune521.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))
0.0b	(+ (exp (- 0 im)) (exp im))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
5×	`fma-def`
4×	`add-sqr-sqrt` `pow1` `add-cbrt-cube` `associate-r` `add-exp-log` `add-cube-cbrt` `add-log-exp`
2×	`expm1-log1p-u` `flip3-+` `exp-sum` `associate-*r/` `flip-+` `insert-posit16` `log1p-expm1-u` `distribute-lft-out`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `sub-neg` `distribute-lft-in` `associate-l` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`

Calls

2 calls:

Slowest

24.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))
15.0ms	(+ (exp (- 0 im)) (exp im))

series152.0ms

Calls

2 calls:

Slowest

109.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))
43.0ms	(+ (exp (- 0 im)) (exp im))

simplify2.0s

Calls

23 calls:

Slowest

377.0ms	(* (* (* (* 0.5 (sin re)) (* 0.5 (sin re))) (* 0.5 (sin re))) (* (* (+ (exp (- 0 im)) (exp im)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im))))
261.0ms	(- (+ (* 1.0 re) (* 0.5 (* re (pow im 2)))) (* 0.16666666666666666 (pow re 3)))
241.0ms	(+ (* (exp (- 0 im)) (exp (- 0 im))) (- (* (exp im) (exp im)) (* (exp (- 0 im)) (exp im))))
217.0ms	(* 0.5 (* (sin re) (+ (exp (- im)) (exp im))))
209.0ms	(* 0.5 (* (sin re) (+ (exp im) (exp (* -1 im)))))

prune521.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes222.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample9.3s

Algorithm

intervals

Results

4.5s	3011×	body	1280	valid
2.0s	2498×	body	640	valid
1.6s	8549×	body	80	valid
673.0ms	1185×	body	320	valid
186.0ms	618×	body	160	valid