Details

Time bar (total: 11.7s)

sample81.0ms

Algorithm
intervals
Results
35.0ms87×body1280valid
15.0ms61×body640valid
11.0ms257×body80valid
5.0ms34×body320valid
1.0ms14×body160valid

simplify5.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01011
12311
25611
38811
420711
533411
646311
7101511
8151911
done500111

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
4×*-un-lft-identity associate-*r*
3×pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt add-cube-cbrt associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ associate-*l* *-commutative flip-+ distribute-lft-out add-log-exp
Counts
1 → 23
Calls
1 calls:
28.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

series62.0ms

Counts
1 → 3
Calls
1 calls:
62.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

simplify512.0ms

Counts
26 → 26
Iterations

Useful iterations: done (511.0ms)

IterNodesCost
073391
1216381
2997311
done5000309

prune54.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

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-*l* pow-prod-down associate-/r*
2×cbrt-undiv div-exp
1×+-commutative frac-2neg flip3-+ associate-*r* clear-num sum-log *-commutative flip-+ div-inv associate-/l*
Counts
3 → 50
Calls
3 calls:
10.0ms
(+ (/ (* 0.5 (cos re)) (exp im)) (* (exp im) (* 0.5 (cos re))))
9.0ms
(* (exp im) (* 0.5 (cos re)))
5.0ms
(/ (* 0.5 (cos re)) (exp im))

series163.0ms

Counts
3 → 9
Calls
3 calls:
82.0ms
(+ (/ (* 0.5 (cos re)) (exp im)) (* (exp im) (* 0.5 (cos re))))
44.0ms
(* (exp im) (* 0.5 (cos re)))
37.0ms
(/ (* 0.5 (cos re)) (exp im))

simplify526.0ms

Counts
59 → 59
Iterations

Useful iterations: 2 (95.0ms)

IterNodesCost
0102789
1294713
21295626
done5000626

prune129.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ 0.5 (/ (exp im) (cos re))) (* (exp im) (* 0.5 (cos re))))
0.0b
(* (exp im) (* 0.5 (cos re)))
0.1b
(/ (exp im) (cos re))
0.2b
(/ 0.5 (/ (exp im) (cos re)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
55×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-/r* add-cbrt-cube
12×add-exp-log
9×pow1
6×div-inv associate-/l* add-log-exp
4×cbrt-undiv div-exp
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×frac-2neg clear-num
1×+-commutative flip3-+ associate-*r* sum-log associate-/r/ *-commutative flip-+
Counts
4 → 126
Calls
4 calls:
32.0ms
(+ (/ 0.5 (/ (exp im) (cos re))) (* (exp im) (* 0.5 (cos re))))
10.0ms
(* (exp im) (* 0.5 (cos re)))
3.0ms
(/ (exp im) (cos re))
6.0ms
(/ 0.5 (/ (exp im) (cos re)))

series210.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(+ (/ 0.5 (/ (exp im) (cos re))) (* (exp im) (* 0.5 (cos re))))
44.0ms
(* (exp im) (* 0.5 (cos re)))
34.0ms
(/ (exp im) (cos re))
43.0ms
(/ 0.5 (/ (exp im) (cos re)))

simplify1.0s

Counts
138 → 138
Iterations

Useful iterations: 2 (176.0ms)

IterNodesCost
02181936
15411814
223571659
done50001659

prune352.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes108.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11311
done1311

end0.0ms

sample2.6s

Algorithm
intervals
Results
1.1s2937×body1280valid
525.0ms2478×body640valid
381.0ms8585×body80valid
173.0ms1252×body320valid
56.0ms614×body160valid