Details

Time bar (total: 4.4s)

sample75.0ms

Algorithm
intervals
Results
23.0ms256×body80valid
21.0ms257×body80nan

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02716
14416
25616
37416
48016
58016

prune6.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 31.6b

Counts
2 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (atan2 im re) (log base))
0.3b
(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0)))
0.5b
(* (log base) (log base))
29.1b
(sqrt (+ (* re re) (* im im)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
25×*-un-lft-identity
23×add-cube-cbrt
21×pow1
12×log-prod
10×add-exp-log add-cbrt-cube
9×times-frac
8×associate-*r*
7×associate-*l* log-pow
6×distribute-rgt-in distribute-lft-in swap-sqr
4×add-log-exp
3×associate-/r* sqrt-prod associate-/l*
2×flip3-+ sqrt-div pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod flip-+ associate-/l/ unswap-sqr
1×cbrt-undiv pow2 rem-sqrt-square flip3-- frac-2neg sqrt-pow1 pow-plus pow1/2 div-sub div-exp clear-num pow-sqr pow-prod-up flip-- div-inv
Counts
4 → 108
Calls
4 calls:
4.0ms
(* (atan2 im re) (log base))
9.0ms
(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0)))
5.0ms
(* (log base) (log base))
4.0ms
(sqrt (+ (* re re) (* im im)))

series282.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* (atan2 im re) (log base))
41.0ms
(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0)))
164.0ms
(* (log base) (log base))
47.0ms
(sqrt (+ (* re re) (* im im)))

simplify56.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
04441213
118161100
250011068

prune644.0ms

Filtered
120 candidates to 78 candidates (35.0%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New10812120
Fresh000
Picked101
Done000
Total10912121

Merged error: 0.1b

Counts
121 → 12

localize6.0ms

Local error

Found 1 expressions with local error:

0.3b
(/ (atan2 im re) (log base))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
12×times-frac
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×pow1
4×associate-/r* log-pow
3×add-exp-log add-cbrt-cube associate-/l*
1×cbrt-undiv frac-2neg div-exp clear-num div-inv add-log-exp
Counts
1 → 31
Calls
1 calls:
3.0ms
(/ (atan2 im re) (log base))

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(/ (atan2 im re) (log base))

simplify51.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 3 (18.0ms)

IterNodesCost
0103207
1270193
2671192
31898188
45002188

prune121.0ms

Filtered
34 candidates to 22 candidates (35.3%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New26834
Fresh5611
Picked101
Done000
Total321446

Merged error: 0.0b

Counts
46 → 14

localize7.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1 (log base))
0.3b
(* (atan2 im re) (/ 1 (log base)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
26×times-frac
21×*-un-lft-identity
20×add-cube-cbrt
16×associate-*r*
15×add-exp-log
12×pow1
9×add-cbrt-cube
7×log-pow
4×div-exp prod-exp associate-/r*
3×associate-*l* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp 1-exp cbrt-unprod div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
2 → 74
Calls
2 calls:
3.0ms
(/ 1 (log base))
7.0ms
(* (atan2 im re) (/ 1 (log base)))

series210.0ms

Counts
2 → 6
Calls
2 calls:
173.0ms
(/ 1 (log base))
37.0ms
(* (atan2 im re) (/ 1 (log base)))

simplify47.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 3 (41.0ms)

IterNodesCost
0206403
1829345
22677303
35002296

prune147.0ms

Filtered
80 candidates to 37 candidates (53.8%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New77380
Fresh31013
Picked011
Done000
Total801494

Merged error: 0.0b

Counts
94 → 14

localize8.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1 (/ (log base) (atan2 im re)))
0.3b
(/ (log base) (atan2 im re))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
60×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
19×pow1 associate-/r*
16×log-pow
15×add-exp-log
9×add-cbrt-cube
8×div-exp
7×associate-/l*
6×div-inv
4×cbrt-undiv
2×rec-exp frac-2neg 1-exp clear-num add-log-exp
1×pow-flip associate-/r/ inv-pow
Counts
2 → 119
Calls
2 calls:
6.0ms
(/ 1 (/ (log base) (atan2 im re)))
4.0ms
(/ (log base) (atan2 im re))

series105.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(/ 1 (/ (log base) (atan2 im re)))
49.0ms
(/ (log base) (atan2 im re))

simplify42.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0335997
11411887
25001788

prune148.0ms

Filtered
125 candidates to 54 candidates (56.8%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New1223125
Fresh3912
Picked101
Done101
Total12712139

Merged error: 0.0b

Counts
139 → 12

regimes380.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115

end0.0ms

sample1.9s

Algorithm
intervals
Results
702.0ms8000×body80valid
653.0ms7848×body80nan

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