Details

Time bar (total: 12.8s)

sample124.0ms

Algorithm
intervals
Results
44.0ms84×body1280valid
25.0ms81×body640valid
19.0ms292×body80valid
10.0ms50×body320valid
3.0ms21×body160valid

simplify1.2s

Counts
1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 1 expressions with local error:

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

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
*-un-lft-identity associate-*r*
pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt add-cube-cbrt associate-*r/
distribute-rgt-in distribute-lft-in flip3-+ associate-*l* *-commutative flip-+ distribute-lft-out add-log-exp
Counts
1 → 23
Calls
1 calls:
121.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

series99.0ms

Counts
1 → 3
Calls
1 calls:
99.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

simplify604.0ms

Counts
26 → 26

prune70.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
0.1b
(exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))
0.3b
(log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))

rewrite162.0ms

Algorithm
rewrite-expression-head
Rules
pow1
add-exp-log add-cbrt-cube
*-un-lft-identity
add-log-exp
add-sqr-sqrt add-cube-cbrt log-prod
associate-*r* exp-sum
distribute-rgt-in distribute-lft-in pow-prod-down prod-exp log-pow cbrt-unprod
exp-prod exp-to-pow associate-*r/
flip3-+ rem-log-exp associate-*l* *-commutative flip-+ rem-exp-log distribute-lft-out
Counts
3 → 51
Calls
3 calls:
101.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
36.0ms
(exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))
23.0ms
(log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))

series243.0ms

Counts
3 → 9
Calls
3 calls:
80.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
95.0ms
(exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))
68.0ms
(log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))

simplify752.0ms

Counts
60 → 60

prune191.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b
(exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))
0.1b
(exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))
0.5b
(log (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))))
0.5b
(log (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
16×log-prod
10×sqrt-prod log-pow add-log-exp
pow1 add-sqr-sqrt add-cube-cbrt *-un-lft-identity exp-sum
add-exp-log sqrt-pow1
distribute-rgt-in exp-prod exp-to-pow distribute-lft-in add-cbrt-cube
pow1/2 rem-log-exp rem-exp-log
Counts
4 → 66
Calls
4 calls:
32.0ms
(exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))
34.0ms
(exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))
11.0ms
(log (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))))
11.0ms
(log (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))))

series711.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))
130.0ms
(exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))
208.0ms
(log (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))))
248.0ms
(log (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))))

simplify591.0ms

Counts
78 → 78

prune405.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes163.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0s

end0.0ms

sample6.1s

Algorithm
intervals
Results
2.7s2935×body1280valid
1.3s2404×body640valid
884.0ms8514×body80valid
370.0ms1254×body320valid
152.0ms664×body160valid