Details

Time bar (total: 24.5s)

sample265.0ms

Algorithm
intervals
Results
100.0ms95×body1280valid
84.0ms80×body640valid
37.0ms268×body80valid
18.0ms38×body320valid
6.0ms20×body160valid

simplify209.0ms

Calls
1 calls:
Slowest
209.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity
14×add-sqr-sqrt
12×add-cube-cbrt
9×times-frac
7×associate-*l* add-exp-log
6×add-cbrt-cube
4×pow1
3×associate-/r* associate-*r* distribute-lft-out associate-/l*
2×div-exp associate-*l/ *-commutative insert-posit16 div-inv add-log-exp
1×cbrt-undiv clear-num frac-2neg flip3-+ pow-prod-down prod-exp cbrt-unprod flip-+ unswap-sqr
Calls
2 calls:
Slowest
122.0ms
(* (+ (/ 0.5 (exp im)) (* (exp im) 0.5)) (cos re))
5.0ms
(/ 0.5 (exp im))

series104.0ms

Calls
2 calls:
Slowest
90.0ms
(* (+ (/ 0.5 (exp im)) (* (exp im) 0.5)) (cos re))
14.0ms
(/ 0.5 (exp im))

simplify2.1s

Calls
44 calls:
Slowest
472.0ms
(/ (* (* 0.5 0.5) 0.5) (* (* (exp im) (exp im)) (exp im)))
334.0ms
(* (+ (pow (/ 0.5 (exp im)) 3) (pow (* (exp im) 0.5) 3)) (cos re))
207.0ms
(* (- (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (* (* (exp im) 0.5) (* (exp im) 0.5))) (cos re))
169.0ms
(- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2)))
157.0ms
(* (* (* (+ (/ 0.5 (exp im)) (* (exp im) 0.5)) (+ (/ 0.5 (exp im)) (* (exp im) 0.5))) (+ (/ 0.5 (exp im)) (* (exp im) 0.5))) (* (* (cos re) (cos re)) (cos re)))

prune649.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite568.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
39×*-un-lft-identity
27×add-cube-cbrt
24×sqrt-prod
22×associate-*r*
21×associate-*l*
18×times-frac
15×add-exp-log
14×sqrt-div
13×add-cbrt-cube
12×unswap-sqr
10×pow1
9×distribute-lft-out
8×associate-*l/
7×flip3-+ flip-+
6×associate-/r* associate-/l*
5×*-commutative div-inv
4×frac-times div-exp insert-posit16 add-log-exp
3×pow-prod-down prod-exp cbrt-unprod
2×cbrt-undiv clear-num frac-2neg associate-*r/
1×rem-sqrt-square sqrt-pow1 pow1/2
Calls
4 calls:
Slowest
484.0ms
(* (sqrt (+ (/ 0.5 (exp im)) (* (exp im) 0.5))) (* (sqrt (+ (/ 0.5 (exp im)) (* (exp im) 0.5))) (cos re)))
59.0ms
(sqrt (+ (/ 0.5 (exp im)) (* (exp im) 0.5)))
11.0ms
(/ 0.5 (exp im))
10.0ms
(/ 0.5 (exp im))

series242.0ms

Calls
4 calls:
Slowest
111.0ms
(sqrt (+ (/ 0.5 (exp im)) (* (exp im) 0.5)))
88.0ms
(* (sqrt (+ (/ 0.5 (exp im)) (* (exp im) 0.5))) (* (sqrt (+ (/ 0.5 (exp im)) (* (exp im) 0.5))) (cos re)))
25.0ms
(/ 0.5 (exp im))
17.0ms
(/ 0.5 (exp im))

simplify9.5s

Calls
131 calls:
Slowest
848.0ms
(* (* (* (sqrt (+ (/ 0.5 (exp im)) (* (exp im) 0.5))) (sqrt (+ (/ 0.5 (exp im)) (* (exp im) 0.5)))) (sqrt (+ (/ 0.5 (exp im)) (* (exp im) 0.5)))) (* (* (* (sqrt (+ (/ 0.5 (exp im)) (* (exp im) 0.5))) (cos re)) (* (sqrt (+ (/ 0.5 (exp im)) (* (exp im) 0.5))) (cos re))) (* (sqrt (+ (/ 0.5 (exp im)) (* (exp im) 0.5))) (cos re))))
555.0ms
(* (sqrt (+ (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5))))) (sqrt (+ (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5))))))
555.0ms
(* (sqrt (+ (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5))))) (sqrt (- (/ 0.5 (exp im)) (* (exp im) 0.5))))
544.0ms
(* (sqrt (- (/ 0.5 (exp im)) (* (exp im) 0.5))) (sqrt (+ (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5))))))
532.0ms
(- (+ (sqrt 1.0) (+ (* 0.25 (/ (pow im 2) (sqrt 1.0))) (* 0.020833333333333332 (/ (pow im 4) (sqrt 1.0))))) (* 0.03125 (/ (pow im 4) (pow (sqrt 1.0) 3))))

prune1.7s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes116.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample8.9s

Algorithm
intervals
Results
4.3s3023×body1280valid
1.9s2594×body640valid
1.5s8559×body80valid
607.0ms1223×body320valid
249.0ms647×body160valid