Details

Time bar (total: 14.1s)

sample287.0ms

Algorithm
intervals
Results
112.0ms95×body1280valid
63.0ms80×body640valid
62.0ms268×body80valid
20.0ms38×body320valid
7.0ms20×body160valid

simplify206.0ms

Calls
1 calls:
Slowest
206.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize35.0ms

Local error

Found 1 expressions with local error:

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

rewrite185.0ms

Algorithm
rewrite-expression-head
Rules
15×associate-*l*
12×add-sqr-sqrt
*-un-lft-identity associate-*r*
pow1 add-cbrt-cube add-exp-log
add-cube-cbrt
unswap-sqr
pow-prod-down prod-exp cbrt-unprod
distribute-rgt-in +-commutative distribute-lft-in associate-*r/ *-commutative
expm1-log1p-u flip3-+ flip-+ insert-posit16 log1p-expm1-u distribute-lft-out add-log-exp
Calls
1 calls:
Slowest
184.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))

series104.0ms

Calls
1 calls:
Slowest
104.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))

simplify3.0s

Calls
32 calls:
Slowest
375.0ms
(* (* (* (* 0.5 0.5) 0.5) (* (* (sin re) (sin re)) (sin re))) (* (* (+ (exp (- 0 im)) (exp im)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im))))
321.0ms
(* (* (* (* 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))))
272.0ms
(+ (* (exp (- 0 im)) (exp (- 0 im))) (- (* (exp im) (exp im)) (* (exp (- 0 im)) (exp im))))
216.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))
209.0ms
(* 0.5 (* (sin re) (+ (exp im) (exp (* -1 im)))))

prune471.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ 0.5 (exp im))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
add-exp-log
associate-/r* add-cbrt-cube associate-/l*
div-exp
expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg insert-posit16 log1p-expm1-u div-inv add-log-exp
Calls
1 calls:
Slowest
10.0ms
(/ 0.5 (exp im))

series21.0ms

Calls
1 calls:
Slowest
21.0ms
(/ 0.5 (exp im))

simplify831.0ms

Calls
29 calls:
Slowest
324.0ms
(/ (* (* 0.5 0.5) 0.5) (* (* (exp im) (exp im)) (exp im)))
182.0ms
(- (+ (* 0.25 (pow im 2)) 0.5) (* 0.5 im))
67.0ms
(/ (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt (exp im)) (cbrt (exp im))))
31.0ms
(/ (* (cbrt 0.5) (cbrt 0.5)) (sqrt (exp im)))
29.0ms
(/ (* (cbrt 0.5) (cbrt 0.5)) 1)

prune385.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample8.5s

Algorithm
intervals
Results
4.1s3025×body1280valid
2.0s2595×body640valid
1.3s8560×body80valid
629.0ms1213×body320valid
267.0ms652×body160valid