Details

Time bar (total: 4.5s)

sample67.0ms

Algorithm
intervals
Results
25.0ms294×body80nan
23.0ms256×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02716
14416
25616
37416
48016
58016

prune4.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 33.1b

Counts
2 → 1

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0)))
0.4b
(* (atan2 im re) (log base))
0.5b
(* (log base) (log base))
30.7b
(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:
9.0ms
(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0)))
4.0ms
(* (atan2 im re) (log base))
5.0ms
(* (log base) (log base))
4.0ms
(sqrt (+ (* re re) (* im im)))

series253.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0)))
32.0ms
(* (atan2 im re) (log base))
151.0ms
(* (log base) (log base))
36.0ms
(sqrt (+ (* re re) (* im im)))

simplify58.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
04441213
118161100
250011068

prune414.0ms

Filtered
120 candidates to 78 candidates (65.0%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New11010120
Fresh000
Picked101
Done000
Total11110121

Merged error: 0.1b

Counts
121 → 10

localize7.0ms

Local error

Found 1 expressions with local error:

0.4b
(/ (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))

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(/ (atan2 im re) (log base))

simplify52.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 3 (18.0ms)

IterNodesCost
0103207
1270193
2671192
31898188
45002188

prune93.0ms

Filtered
34 candidates to 22 candidates (64.7%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New27734
Fresh549
Picked011
Done000
Total321244

Merged error: 0.0b

Counts
44 → 12

localize8.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (atan2 im re) (/ 1 (log base)))
0.3b
(/ 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:
7.0ms
(* (atan2 im re) (/ 1 (log base)))
3.0ms
(/ 1 (log base))

series196.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(* (atan2 im re) (/ 1 (log base)))
151.0ms
(/ 1 (log base))

simplify65.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 3 (60.0ms)

IterNodesCost
0206401
1833343
22657303
35002296

prune127.0ms

Filtered
80 candidates to 36 candidates (45.0%)
Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New76480
Fresh1910
Picked011
Done011
Total771592

Merged error: 0.0b

Counts
92 → 15

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (pow (log base) 3))
0.3b
(* (atan2 im re) (cbrt (/ 1 (pow (log base) 3))))
0.7b
(cbrt (/ 1 (pow (log base) 3)))
0.8b
(pow (log base) 3)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
134×times-frac
106×add-sqr-sqrt
101×cbrt-prod
88×*-un-lft-identity
84×add-cube-cbrt
49×associate-*r*
46×unpow-prod-down cube-prod
29×pow1
22×log-pow
16×add-exp-log
14×associate-/r*
13×sqr-pow
11×cube-mult unpow3
10×unswap-sqr
8×add-cbrt-cube
6×div-exp
4×pow-to-exp pow-exp add-log-exp
3×rec-exp pow-unpow 1-exp associate-*l* div-inv associate-/l*
2×cbrt-div
1×cbrt-undiv pow-flip pow-pow frac-2neg pow1/3 associate-*r/ pow-prod-down prod-exp clear-num *-commutative cbrt-unprod inv-pow rem-cube-cbrt
Counts
4 → 235
Calls
4 calls:
6.0ms
(/ 1 (pow (log base) 3))
15.0ms
(* (atan2 im re) (cbrt (/ 1 (pow (log base) 3))))
6.0ms
(cbrt (/ 1 (pow (log base) 3)))
2.0ms
(pow (log base) 3)

series578.0ms

Counts
4 → 12
Calls
4 calls:
194.0ms
(/ 1 (pow (log base) 3))
38.0ms
(* (atan2 im re) (cbrt (/ 1 (pow (log base) 3))))
159.0ms
(cbrt (/ 1 (pow (log base) 3)))
187.0ms
(pow (log base) 3)

simplify56.0ms

Algorithm
egg-herbie
Counts
247 → 247
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04001660
116601289
250011241

prune321.0ms

Filtered
247 candidates to 95 candidates (38.5%)
Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New2434247
Fresh21012
Picked011
Done112
Total24616262

Merged error: 0.0b

Counts
262 → 16

regimes260.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114
1114

end0.0ms

sample1.8s

Algorithm
intervals
Results
745.0ms8000×body80valid
669.0ms7719×body80nan

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