Details

Time bar (total: 4.6s)

sample1.1s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 46.875%

Guaranteed chance to sample good point: 88.149127%

Results
24.0ms256×body80valid
1.0ms15×body80nan

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02716
14416
25616
37416
48016
58016

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 31.1b

Counts
2 → 1

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (atan2 im re) (log base))
0.4b
(/ (- (* (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))
29.2b
(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)))

series44.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* (atan2 im re) (log base))
11.0ms
(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0)))
18.0ms
(* (log base) (log base))
6.0ms
(sqrt (+ (* re re) (* im im)))

simplify59.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
04411237
117381127
250011101

prune205.0ms

Filtered
75 candidates to 120 candidates (-60.0%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New10911120
Fresh000
Picked101
Done000
Total11011121

Merged error: 0.1b

Counts
121 → 11

localize9.0ms

Local error

Found 1 expressions with local error:

0.3b
(/ (atan2 im re) (/ (+ 0 (log base)) 1))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
117×times-frac
93×*-un-lft-identity
57×add-sqr-sqrt add-cube-cbrt
24×distribute-lft-out
19×associate-/r*
13×pow1
12×log-pow
8×add-exp-log
6×add-cbrt-cube
5×div-exp div-inv
3×cbrt-undiv associate-/l*
1×frac-2neg 1-exp clear-num associate-/r/ add-log-exp
Counts
1 → 95
Calls
1 calls:
9.0ms
(/ (atan2 im re) (/ (+ 0 (log base)) 1))

series11.0ms

Counts
1 → 3
Calls
1 calls:
11.0ms
(/ (atan2 im re) (/ (+ 0 (log base)) 1))

simplify72.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0355941
11467819
24142698
35001698

prune116.0ms

Filtered
37 candidates to 98 candidates (-164.9%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New881098
Fresh6410
Picked101
Done000
Total9514109

Merged error: 0.0b

Counts
109 → 14

localize9.0ms

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))

series11.0ms

Counts
1 → 3
Calls
1 calls:
11.0ms
(/ (atan2 im re) (log base))

simplify61.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
0104210
1267195
2759188
32431188
45001188

prune73.0ms

Filtered
19 candidates to 34 candidates (-78.9%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New30434
Fresh4913
Picked011
Done000
Total341448

Merged error: 0.0b

Counts
48 → 14

localize7.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (/ 1 (log base)) (atan2 im re))
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-*l*
15×add-exp-log
12×pow1
9×add-cbrt-cube
7×log-pow
4×div-exp prod-exp associate-/r*
3×associate-*r* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp 1-exp cbrt-unprod div-inv add-log-exp
1×pow-flip frac-2neg pow-prod-down associate-*l/ clear-num *-commutative inv-pow
Counts
2 → 73
Calls
2 calls:
7.0ms
(* (/ 1 (log base)) (atan2 im re))
3.0ms
(/ 1 (log base))

series31.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(* (/ 1 (log base)) (atan2 im re))
18.0ms
(/ 1 (log base))

simplify110.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
0202403
1785345
21921301
34509301
45001301

prune46.0ms

Filtered
37 candidates to 79 candidates (-113.5%)
Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New77279
Fresh11112
Picked011
Done011
Total781593

Merged error: 0.0b

Counts
93 → 15

regimes415.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063

end0.0ms

sample2.1s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 46.875%

Guaranteed chance to sample good point: 88.149127%

Results
768.0ms8000×body80valid
46.0ms500×body80nan

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