Details

Time bar (total: 21.9s)

sample177.0ms

Algorithm
intervals
Results
76.0ms88×body1280valid
38.0ms86×body640valid
28.0ms296×body80valid
14.0ms45×body320valid
5.0ms22×body160valid

simplify199.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
199.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity add-cube-cbrt
9×times-frac
6×add-cbrt-cube
5×add-exp-log
4×pow1
3×associate-/r* associate-*r* associate-*l* associate-/l*
2×associate-*l/ insert-posit16 add-log-exp
1×cbrt-undiv clear-num frac-2neg flip3-+ div-exp pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ div-inv unswap-sqr
Counts
2 → 49
Calls
2 calls:
Slowest
80.0ms
(* (+ (/ 0.5 (exp im)) (* (exp im) 0.5)) (cos re))
7.0ms
(/ 0.5 (exp im))

series99.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
85.0ms
(* (+ (/ 0.5 (exp im)) (* (exp im) 0.5)) (cos re))
14.0ms
(/ 0.5 (exp im))

simplify2.0s

Counts
43 → 55
Calls
43 calls:
Slowest
387.0ms
(/ (* (* 0.5 0.5) 0.5) (* (* (exp im) (exp im)) (exp im)))
317.0ms
(* (+ (pow (/ 0.5 (exp im)) 3) (pow (* (exp im) 0.5) 3)) (cos re))
200.0ms
(* (- (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (* (* (exp im) 0.5) (* (exp im) 0.5))) (cos re))
177.0ms
(* (* (* (+ (/ 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)))
145.0ms
(- (+ (* 0.25 (pow im 2)) 0.5) (* 0.5 im))

prune540.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize38.0ms

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)))

rewrite178.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
23×*-un-lft-identity add-cube-cbrt
18×times-frac
14×sqrt-div
13×add-cbrt-cube
11×add-exp-log
10×pow1
8×associate-*l/
7×flip3-+ flip-+
6×associate-/r* associate-*l* sqrt-prod associate-/l*
4×frac-times insert-posit16 add-log-exp
3×pow-prod-down prod-exp cbrt-unprod
2×cbrt-undiv clear-num frac-2neg div-exp associate-*r/ div-inv
1×rem-sqrt-square sqrt-pow1 pow1/2 associate-*r* *-commutative
Counts
4 → 102
Calls
4 calls:
Slowest
143.0ms
(* (sqrt (+ (/ 0.5 (exp im)) (* (exp im) 0.5))) (* (sqrt (+ (/ 0.5 (exp im)) (* (exp im) 0.5))) (cos re)))
14.0ms
(sqrt (+ (/ 0.5 (exp im)) (* (exp im) 0.5)))
10.0ms
(/ 0.5 (exp im))
10.0ms
(/ 0.5 (exp im))

series299.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
141.0ms
(sqrt (+ (/ 0.5 (exp im)) (* (exp im) 0.5)))
109.0ms
(* (sqrt (+ (/ 0.5 (exp im)) (* (exp im) 0.5))) (* (sqrt (+ (/ 0.5 (exp im)) (* (exp im) 0.5))) (cos re)))
24.0ms
(/ 0.5 (exp im))
24.0ms
(/ 0.5 (exp im))

simplify8.7s

Counts
93 → 114
Calls
93 calls:
Slowest
971.0ms
(* (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))))))
935.0ms
(* (* (* (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)) (* (exp im) 0.5))))
507.0ms
(* (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))))))
498.0ms
(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)))))

prune1.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes90.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample8.1s

Algorithm
intervals
Results
3.1s2952×body1280valid
2.2s8601×body80valid
1.7s2501×body640valid
574.0ms1290×body320valid
175.0ms654×body160valid