Details

Time bar (total: 6.4s)

sample124.0ms

Algorithm
intervals
Results
54.0ms103×body1280valid
25.0ms83×body640valid
16.0ms245×body80valid
7.0ms37×body320valid
3.0ms22×body160valid

simplify60.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
4×associate-*r* add-log-exp
3×add-sqr-sqrt add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
2×flip3-+ associate-*r/ flip-+ distribute-lft-out
1×+-commutative distribute-rgt-in distribute-lft-in associate-*l* sum-log *-commutative
Counts
2 → 35
Calls
2 calls:
68.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
40.0ms
(+ (exp (- im)) (exp im))

series96.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
26.0ms
(+ (exp (- im)) (exp im))

simplify35.0ms

Counts
41 → 41

prune103.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
13×add-cbrt-cube
9×add-exp-log
8×pow1
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×add-log-exp
4×prod-exp cbrt-unprod
3×times-frac associate-*r* pow-prod-down associate-/r*
2×cbrt-undiv div-exp div-inv
1×+-commutative frac-2neg flip3-+ associate-*l* clear-num sum-log *-commutative flip-+ distribute-lft-out associate-/l*
Counts
3 → 51
Calls
3 calls:
29.0ms
(* (* 0.5 (cos re)) (exp im))
27.0ms
(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
14.0ms
(/ (* 0.5 (cos re)) (exp im))

series175.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(* (* 0.5 (cos re)) (exp im))
93.0ms
(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
43.0ms
(/ (* 0.5 (cos re)) (exp im))

simplify45.0ms

Counts
60 → 60

prune144.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite178.0ms

Algorithm
rewrite-expression-head
Rules
23×add-cbrt-cube
21×add-exp-log
18×pow1
12×associate-*r*
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
9×pow-prod-down
6×sqrt-prod add-log-exp
3×times-frac associate-/r*
2×cbrt-undiv div-exp associate-*l* *-commutative
1×+-commutative frac-2neg flip3-+ clear-num sum-log flip-+ div-inv associate-/l*
Counts
4 → 77
Calls
4 calls:
28.0ms
(* (* 0.5 (cos re)) (sqrt (exp im)))
38.0ms
(+ (/ (* 0.5 (cos re)) (exp im)) (* (* (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))))
91.0ms
(* (* (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))
18.0ms
(/ (* 0.5 (cos re)) (exp im))

series233.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(* (* 0.5 (cos re)) (sqrt (exp im)))
98.0ms
(+ (/ (* 0.5 (cos re)) (exp im)) (* (* (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))))
40.0ms
(* (* (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))
45.0ms
(/ (* 0.5 (cos re)) (exp im))

simplify70.0ms

Counts
89 → 89

prune201.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes104.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.6s

Algorithm
intervals
Results
1.6s2996×body1280valid
1.3s8475×body80valid
781.0ms2496×body640valid
323.0ms1262×body320valid
81.0ms645×body160valid