Details

Time bar (total: 22.5s)

sample169.0ms

Algorithm
intervals
Results
65.0ms89×body1280valid
45.0ms75×body640valid
30.0ms296×body80valid
10.0ms28×body320valid
3.0ms15×body160valid

simplify2.8s

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
15×associate-*l*
13×add-sqr-sqrt
10×*-un-lft-identity
7×pow1 add-cbrt-cube associate-*r* add-exp-log
6×add-cube-cbrt
4×add-log-exp unswap-sqr
3×+-commutative pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in distribute-lft-in flip3-+ associate-*r/ *-commutative flip-+ insert-posit16 distribute-lft-out
1×sum-log
Counts
2 → 52
Calls
2 calls:
28.0ms
(+ (exp (- im)) (exp im))
88.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

series99.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(+ (exp (- im)) (exp im))
71.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

simplify1.2s

Counts
58 → 58
Iterations
IterNodes
done5001
21362
1344
0106

prune199.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize16.0ms

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))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
15×add-sqr-sqrt
13×add-cube-cbrt
9×times-frac add-exp-log
7×add-cbrt-cube
5×pow1 add-log-exp
4×associate-*l*
3×associate-/r* associate-*r* insert-posit16 distribute-lft-out associate-/l*
2×div-exp prod-exp div-inv
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg flip3-+ pow-prod-down *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
3 → 64
Calls
3 calls:
79.0ms
(+ (* (cos re) (exp im)) (/ (cos re) (exp im)))
17.0ms
(* (cos re) (exp im))
14.0ms
(/ (cos re) (exp im))

series151.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(+ (* (cos re) (exp im)) (/ (cos re) (exp im)))
42.0ms
(* (cos re) (exp im))
45.0ms
(/ (cos re) (exp im))

simplify1.8s

Counts
73 → 73
Iterations
IterNodes
done5161
32350
2664
1241
0104

prune313.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize58.0ms

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)))))

rewrite4.0s

Algorithm
rewrite-expression-head
Rules
145×*-un-lft-identity
104×associate-*l*
66×distribute-lft-out
60×frac-times flip3-+ flip-+
55×add-sqr-sqrt
46×cbrt-prod
38×swap-sqr
30×pow1 associate-*r* associate-*l/
29×add-cube-cbrt
26×cbrt-div
18×associate-*r/
15×div-inv unswap-sqr
14×add-exp-log
13×add-cbrt-cube
9×times-frac *-commutative
7×pow-plus pow-prod-up
4×distribute-rgt-in +-commutative distribute-lft-in pow3 pow-prod-down prod-exp cbrt-unprod insert-posit16 add-log-exp
3×pow2 associate-/r* pow-sqr associate-/l*
2×div-exp rem-cbrt-cube
1×cbrt-undiv clear-num frac-2neg pow1/3
Counts
4 → 261
Calls
4 calls:
20.0ms
(/ (cos re) (exp im))
1.8s
(* (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) (+ (* (cos re) (exp im)) (/ (cos re) (exp im)))) (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))
360.0ms
(* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))
1.8s
(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)))))

series348.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(/ (cos re) (exp im))
110.0ms
(* (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) (+ (* (cos re) (exp im)) (/ (cos re) (exp im)))) (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))
106.0ms
(* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))
102.0ms
(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)))))

simplify3.2s

Counts
273 → 273
Iterations
IterNodes
done5000
23765
1870
0281

prune904.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes74.0ms

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

sample6.9s

Algorithm
intervals
Results
3.1s2896×body1280valid
1.7s2318×body640valid
1.1s8579×body80valid
556.0ms1242×body320valid
155.0ms654×body160valid