Details

sample226.0ms

Algorithm

intervals

Results

92.0ms	99×	body	1280	valid
52.0ms	260×	body	80	valid
46.0ms	77×	body	640	valid
13.0ms	33×	body	320	valid
6.0ms	23×	body	160	valid

simplify188.0ms

Calls

1 calls:

Slowest

188.0ms

(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))
0.0b	(/ (* 0.5 (cos re)) (exp im))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
35×	`add-sqr-sqrt`
27×	`*-un-lft-identity` `add-cube-cbrt`
12×	`associate-r` `associate-l` `associate-/l*`
10×	`add-exp-log`
7×	`add-cbrt-cube`
4×	`div-exp` `*-commutative` `unswap-sqr`
3×	`associate-/r*`
2×	`expm1-log1p-u` `pow1` `cbrt-undiv` `prod-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`clear-num` `frac-2neg` `cbrt-unprod` `fma-udef` `div-inv`

Calls

2 calls:

Slowest

15.0ms	(/ (* 0.5 (cos re)) (exp im))
0.0ms	(fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))

series176.0ms

Calls

2 calls:

Slowest

116.0ms	(fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))
60.0ms	(/ (* 0.5 (cos re)) (exp im))

simplify3.1s

Calls

96 calls:

Slowest

215.0ms	(/ (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (exp im) (exp im)) (exp im)))
207.0ms	(/ (* 0.5 (* (cbrt (cos re)) (cbrt (cos re)))) (* (cbrt (exp im)) (cbrt (exp im))))
188.0ms	(/ (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (exp im) (exp im)) (exp im)))
163.0ms	(- 0.5 (+ (* 0.25 (pow re 2)) (* 0.5 im)))
148.0ms	(- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2)))

prune895.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))) (cbrt (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))))
0.3b	(cbrt (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im))))
0.3b	(cbrt (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im))))
0.3b	(cbrt (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
8×	`add-cbrt-cube`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `cbrt-unprod` `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`

Calls

4 calls:

Slowest

8.0ms	(* (cbrt (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))) (cbrt (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))))
1.0ms	(cbrt (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im))))
1.0ms	(cbrt (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im))))
1.0ms	(cbrt (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im))))

series914.0ms

Calls

4 calls:

Slowest

239.0ms	(cbrt (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im))))
234.0ms	(cbrt (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im))))
227.0ms	(cbrt (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im))))
215.0ms	(* (cbrt (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))) (cbrt (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))))

simplify10.3s

Calls

68 calls:

Slowest

770.0ms	(- (+ (* 0.16666666666666666 (* (pow 1.0 1/3) (pow im 2))) (pow 1.0 1/3)) (* 0.16666666666666666 (* (pow re 2) (pow 1.0 1/3))))
649.0ms	(* (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im))) (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im))))
582.0ms	(* (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im))) (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im))))
494.0ms	(- (+ (* 0.3333333333333333 (* (pow 1.0 1/3) (pow im 2))) (pow 1.0 1/3)) (* 0.3333333333333333 (* (pow re 2) (pow 1.0 1/3))))
459.0ms	(- (+ (* 0.16666666666666666 (* (pow 1.0 1/3) (pow im 2))) (pow 1.0 1/3)) (* 0.16666666666666666 (* (pow re 2) (pow 1.0 1/3))))

prune1.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes126.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample8.2s

Algorithm

intervals

Results

3.7s	3018×	body	1280	valid
1.7s	2458×	body	640	valid
1.3s	8604×	body	80	valid
1.0s	1255×	body	320	valid
248.0ms	618×	body	160	valid