Details

Time bar (total: 16.9s)

sample197.0ms

Algorithm
intervals
Results
73.0ms89×body1280valid
59.0ms75×body640valid
31.0ms296×body80valid
10.0ms28×body320valid
4.0ms15×body160valid

simplify2.7s

Counts
1 → 1
Iterations
IterNodes
done3212
103212
93063
82876
72355
61348
5617
4210
386
257
123
010

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 *-un-lft-identity add-cbrt-cube add-exp-log
4×associate-*r* add-log-exp
3×add-sqr-sqrt pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
2×flip3-+ associate-*r/ flip-+ insert-posit16 distribute-lft-out
1×distribute-rgt-in +-commutative sum-log distribute-lft-in associate-*l* *-commutative
Counts
2 → 37
Calls
2 calls:
14.0ms
(+ (exp (- im)) (exp im))
55.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

series105.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(+ (exp (- im)) (exp im))
76.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

simplify1.3s

Counts
43 → 43
Iterations
IterNodes
done5001
21067
1258
087

prune184.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×*-un-lft-identity add-cube-cbrt
9×times-frac
7×add-cbrt-cube
5×pow1 add-exp-log add-log-exp
3×associate-/r* associate-*r* associate-*l* insert-posit16 associate-/l*
2×div-inv
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg flip3-+ div-exp pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
3 → 60
Calls
3 calls:
20.0ms
(+ (* (cos re) (exp im)) (/ (cos re) (exp im)))
16.0ms
(* (cos re) (exp im))
16.0ms
(/ (cos re) (exp im))

series131.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(+ (* (cos re) (exp im)) (/ (cos re) (exp im)))
31.0ms
(* (cos re) (exp im))
36.0ms
(/ (cos re) (exp im))

simplify1.4s

Counts
69 → 69
Iterations
IterNodes
done5004
32448
2660
1238
0101

prune247.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

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

rewrite548.0ms

Algorithm
rewrite-expression-head
Rules
60×frac-times flip3-+ flip-+
30×pow1 associate-*l/
26×cbrt-div
20×add-sqr-sqrt
18×associate-*r/
17×*-un-lft-identity add-cube-cbrt
13×add-cbrt-cube
12×add-exp-log
9×times-frac
8×associate-*r*
7×pow-plus pow-prod-up
6×div-inv
5×associate-*l* distribute-lft-out
4×swap-sqr pow-prod-down prod-exp cbrt-unprod insert-posit16 add-log-exp
3×pow2 associate-/r* pow-sqr associate-/l*
2×distribute-rgt-in distribute-lft-in pow3 *-commutative unswap-sqr
1×cbrt-prod cbrt-undiv clear-num frac-2neg pow1/3 div-exp rem-cbrt-cube
Counts
4 → 162
Calls
4 calls:
11.0ms
(/ (cos re) (exp im))
240.0ms
(* (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) (+ (* (cos re) (exp im)) (/ (cos re) (exp im)))) (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))
124.0ms
(* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))
171.0ms
(cbrt (* (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) (+ (* (cos re) (exp im)) (/ (cos re) (exp im)))) (+ (* (cos re) (exp im)) (/ (cos re) (exp im)))))

series273.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(/ (cos re) (exp im))
93.0ms
(* (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) (+ (* (cos re) (exp im)) (/ (cos re) (exp im)))) (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))
81.0ms
(* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))
65.0ms
(cbrt (* (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) (+ (* (cos re) (exp im)) (/ (cos re) (exp im)))) (+ (* (cos re) (exp im)) (/ (cos re) (exp im)))))

simplify2.5s

Counts
174 → 174
Iterations
IterNodes
done5000
23367
1753
0235

prune681.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes65.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done12
112
09

end0.0ms

sample6.4s

Algorithm
intervals
Results
2.7s2896×body1280valid
1.7s2318×body640valid
1.0s8579×body80valid
474.0ms1242×body320valid
201.0ms654×body160valid