Details

sample189.0ms

Algorithm

intervals

Results

81.0ms	95×	body	1280	valid
42.0ms	80×	body	640	valid
30.0ms	268×	body	80	valid
14.0ms	38×	body	320	valid
6.0ms	20×	body	160	valid

simplify247.0ms

Calls

1 calls:

Slowest

246.0ms

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

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

31.0ms	(/ (* 0.5 (cos re)) (exp im))
0.0ms	(fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))

series213.0ms

Calls

2 calls:

Slowest

137.0ms	(fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))
75.0ms	(/ (* 0.5 (cos re)) (exp im))

simplify3.2s

Calls

96 calls:

Slowest

239.0ms	(/ (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (exp im) (exp im)) (exp im)))
197.0ms	(/ (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (exp im) (exp im)) (exp im)))
173.0ms	(- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2)))
167.0ms	(- 0.5 (+ (* 0.25 (pow re 2)) (* 0.5 im)))
134.0ms	(/ (* 0.5 (* (cbrt (cos re)) (cbrt (cos re)))) (* (cbrt (exp im)) (cbrt (exp im))))

prune837.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

3 calls:

Slowest

92.0ms	(+ (* (exp im) (* 0.5 (cos re))) (/ (* 0.5 (cos re)) (exp im)))
39.0ms	(* (exp im) (* 0.5 (cos re)))
15.0ms	(/ (* 0.5 (cos re)) (exp im))

series207.0ms

Calls

3 calls:

Slowest

108.0ms	(+ (* (exp im) (* 0.5 (cos re))) (/ (* 0.5 (cos re)) (exp im)))
50.0ms	(* (exp im) (* 0.5 (cos re)))
49.0ms	(/ (* 0.5 (cos re)) (exp im))

simplify5.9s

Calls

149 calls:

Slowest

766.0ms	(* (* (* (exp im) (exp im)) (exp im)) (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))))
623.0ms	(* (* (* (exp im) (exp im)) (exp im)) (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))))
198.0ms	(- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2)))
167.0ms	(/ (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (exp im) (exp im)) (exp im)))
167.0ms	(- 0.5 (+ (* 0.25 (pow re 2)) (* 0.5 im)))

prune1.6s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample8.0s

Algorithm

intervals

Results

3.1s	3023×	body	1280	valid
2.6s	2594×	body	640	valid
1.2s	8559×	body	80	valid
548.0ms	1223×	body	320	valid
236.0ms	647×	body	160	valid