Details

Time bar (total: 1.3m)

sample384.0ms

Algorithm
intervals
Results
139.0ms256×body80valid
130.0ms98×body1280valid
59.0ms106×body640valid
17.0ms54×body320valid
6.0ms27×body160valid

simplify12.9s

Counts
1 → 1
Iterations
IterNodes
done3214
103214
93120
82956
72351
61446
5635
4210
386
257
123
010

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 2 expressions with local error:

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

rewrite214.0ms

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:
38.0ms
(+ (exp (- im)) (exp im))
174.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

series455.0ms

Counts
2 → 6
Calls
2 calls:
296.0ms
(+ (exp (- im)) (exp im))
159.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

simplify5.7s

Counts
41 → 41
Iterations
IterNodes
done5000
21222
1271
087

prune917.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize283.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (cos re) (exp im))
0.2b
(* (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) 0.5) (* (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) 0.5) (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) 0.5)))
0.3b
(* (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) 0.5) (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) 0.5))
0.4b
(cbrt (* (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) 0.5) (* (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) 0.5) (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) 0.5))))

rewrite3.6s

Algorithm
rewrite-expression-head
Rules
171×pow1
138×associate-*l/
77×pow-prod-down
60×frac-times flip3-+ flip-+
59×add-cbrt-cube
58×add-exp-log
39×prod-exp cbrt-unprod
34×pow-prod-up
30×associate-*r/
26×cbrt-div
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity pow-sqr
9×times-frac
6×pow-plus
4×add-log-exp
3×pow2 associate-/r* associate-/l*
2×cube-unmult associate-*r* associate-*l* *-commutative
1×cbrt-undiv cbrt-prod frac-2neg pow1/3 swap-sqr div-exp clear-num rem-cbrt-cube div-inv
Counts
4 → 194
Calls
4 calls:
22.0ms
(/ (cos re) (exp im))
1.5s
(* (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) 0.5) (* (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) 0.5) (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) 0.5)))
434.0ms
(* (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) 0.5) (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) 0.5))
1.6s
(cbrt (* (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) 0.5) (* (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) 0.5) (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) 0.5))))

series2.4s

Counts
4 → 12
Calls
4 calls:
474.0ms
(/ (cos re) (exp im))
662.0ms
(* (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) 0.5) (* (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) 0.5) (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) 0.5)))
596.0ms
(* (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) 0.5) (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) 0.5))
594.0ms
(cbrt (* (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) 0.5) (* (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) 0.5) (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) 0.5))))

simplify9.7s

Counts
206 → 206
Iterations
IterNodes
done5003
22121
1637
0253

prune3.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize79.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) 0.5)) (cbrt (* (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) 0.5) (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) 0.5))))
0.3b
(* (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) 0.5) (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) 0.5))
0.3b
(cbrt (* (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) 0.5) (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) 0.5)))
0.4b
(cbrt (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) 0.5))

rewrite1.0s

Algorithm
rewrite-expression-head
Rules
92×associate-*l/
52×cbrt-div
45×pow1
40×flip3-+ flip-+
36×frac-times
19×pow-prod-down
18×add-exp-log associate-*r/
16×add-cbrt-cube
9×add-sqr-sqrt prod-exp cbrt-unprod
6×cbrt-prod add-cube-cbrt *-un-lft-identity
5×associate-*r* associate-*l*
4×pow1/3 pow-sqr pow-prod-up add-log-exp
2×pow-plus *-commutative unswap-sqr
1×pow2 cube-unmult swap-sqr
Counts
4 → 119
Calls
4 calls:
325.0ms
(* (cbrt (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) 0.5)) (cbrt (* (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) 0.5) (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) 0.5))))
329.0ms
(* (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) 0.5) (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) 0.5))
285.0ms
(cbrt (* (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) 0.5) (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) 0.5)))
51.0ms
(cbrt (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) 0.5))

series5.8s

Counts
4 → 12
Calls
4 calls:
957.0ms
(* (cbrt (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) 0.5)) (cbrt (* (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) 0.5) (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) 0.5))))
295.0ms
(* (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) 0.5) (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) 0.5))
3.9s
(cbrt (* (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) 0.5) (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) 0.5)))
644.0ms
(cbrt (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) 0.5))

simplify9.7s

Counts
131 → 131
Iterations
IterNodes
done5005
21794
1544
0208

prune2.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes453.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done13
113
010

end0.0ms

sample16.2s

Algorithm
intervals
Results
6.5s2961×body1280valid
5.7s2490×body640valid
2.5s8532×body80valid
657.0ms1194×body320valid
150.0ms604×body160valid