Details

Time bar (total: 9.3s)

sample86.0ms

Algorithm
intervals
Results
36.0ms99×body1280valid
16.0ms77×body640valid
12.0ms290×body80valid
5.0ms38×body320valid
2.0ms18×body160valid

simplify1.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01011
12311
25611
38411
418911
527411
638211
765011
8130611
done500011

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

rewrite39.0ms

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:
9.0ms
(+ (exp (- im)) (exp im))
28.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

series83.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(+ (exp (- im)) (exp im))
61.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

simplify610.0ms

Counts
41 → 41
Iterations

Useful iterations: done (609.0ms)

IterNodesCost
087548
1247530
2944441
done5000439

prune103.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

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:
4.0ms
(/ (* 0.5 (cos re)) (exp im))
10.0ms
(+ (/ (* 0.5 (cos re)) (exp im)) (* (exp im) (* 0.5 (cos re))))
9.0ms
(* (exp im) (* 0.5 (cos re)))

series163.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(/ (* 0.5 (cos re)) (exp im))
79.0ms
(+ (/ (* 0.5 (cos re)) (exp im)) (* (exp im) (* 0.5 (cos re))))
44.0ms
(* (exp im) (* 0.5 (cos re)))

simplify542.0ms

Counts
59 → 59
Iterations

Useful iterations: 2 (94.0ms)

IterNodesCost
0102789
1278713
21116626
done5000626

prune138.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
102×times-frac
57×sqrt-prod
51×add-sqr-sqrt
50×add-cube-cbrt *-un-lft-identity
18×add-cbrt-cube
16×add-exp-log
10×pow1 associate-/l*
8×div-inv
6×associate-/r* add-log-exp
5×cbrt-undiv div-exp
4×sqrt-pow1 prod-exp cbrt-unprod
3×exp-prod associate-*l* pow-prod-down
1×+-commutative rem-sqrt-square frac-2neg flip3-+ pow1/2 associate-*r* clear-num sum-log *-commutative flip-+ associate-/l/
Counts
4 → 138
Calls
4 calls:
1.0ms
(sqrt (exp im))
13.0ms
(/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))
43.0ms
(+ (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (* (exp im) (* 0.5 (cos re))))
10.0ms
(* (exp im) (* 0.5 (cos re)))

series177.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(sqrt (exp im))
40.0ms
(/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))
83.0ms
(+ (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (* (exp im) (* 0.5 (cos re))))
41.0ms
(* (exp im) (* 0.5 (cos re)))

simplify751.0ms

Counts
150 → 150
Iterations

Useful iterations: done (746.0ms)

IterNodesCost
02232753
15662284
219802080
done50012077

prune308.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
102×times-frac
60×sqrt-prod
51×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
27×add-exp-log add-cbrt-cube
18×pow1
12×associate-*l*
10×prod-exp cbrt-unprod associate-/l*
9×pow-prod-down
8×div-inv
6×associate-/r* add-log-exp
5×cbrt-undiv div-exp
2×associate-*r* *-commutative
1×+-commutative frac-2neg flip3-+ clear-num sum-log flip-+ associate-/l/
Counts
4 → 149
Calls
4 calls:
12.0ms
(* (sqrt (exp im)) (* 0.5 (cos re)))
13.0ms
(/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))
45.0ms
(+ (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re)))))
35.0ms
(* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re))))

series211.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* (sqrt (exp im)) (* 0.5 (cos re)))
40.0ms
(/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))
83.0ms
(+ (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re)))))
40.0ms
(* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re))))

simplify883.0ms

Counts
161 → 161
Iterations

Useful iterations: done (878.0ms)

IterNodesCost
02333236
16112567
221382287
done50012285

prune334.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes60.0ms

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
01225
11625
done1625

end0.0ms

sample2.7s

Algorithm
intervals
Results
1.1s3006×body1280valid
565.0ms2570×body640valid
381.0ms8549×body80valid
185.0ms1264×body320valid
56.0ms590×body160valid