Details

Time bar (total: 2.9s)

analyze422.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
23.4%51.5%25.1%7
24.2%50.7%25.1%8
24.6%50.3%25.1%9
36.9%25.5%37.6%10
37.2%25.3%37.6%11
37.3%25.1%37.6%12
43.5%12.7%43.8%13
43.6%12.6%43.8%14

sample40.0ms

Algorithm
intervals
Results
25.0ms256×body80valid
3.0ms34×body80nan

simplify46.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
0492928
1492928

prune5.0ms

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:

0.4b
(* (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))
29.3b
(sqrt (+ (* re re) (* im im)))

rewrite27.0ms

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)))
7.0ms
(* (log base) (log base))
4.0ms
(sqrt (+ (* re re) (* im im)))

series39.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* (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)))
14.0ms
(* (log base) (log base))
6.0ms
(sqrt (+ (* re re) (* im im)))

simplify66.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
049651828
149651828

prune257.0ms

Filtered
80 candidates to 120 candidates (-50.0%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New10713120
Fresh000
Picked101
Done000
Total10813121

Merged error: 0.1b

Counts
121 → 13

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))

series10.0ms

Counts
1 → 3
Calls
1 calls:
10.0ms
(/ (atan2 im re) (log base))

simplify45.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
04898330
14898330

prune86.0ms

Filtered
22 candidates to 34 candidates (-54.5%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New26834
Fresh8412
Picked101
Done000
Total351247

Merged error: 0.0b

Counts
47 → 12

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))
8.0ms
(* (atan2 im re) (/ 1 (log base)))

series28.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(/ 1 (log base))
10.0ms
(* (atan2 im re) (/ 1 (log base)))

simplify48.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
04970556
14970556

prune111.0ms

Filtered
40 candidates to 80 candidates (-100.0%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New76480
Fresh3811
Picked011
Done000
Total791392

Merged error: 0.0b

Counts
92 → 13

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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))

series24.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(/ 1 (/ (log base) (atan2 im re)))
11.0ms
(/ (log base) (atan2 im re))

simplify66.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
048781473
148781473

prune93.0ms

Filtered
67 candidates to 125 candidates (-86.6%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1232125
Fresh3811
Picked101
Done011
Total12711138

Merged error: 0.0b

Counts
138 → 11

regimes331.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0268
1268

end0.0ms

sample1.1s

Algorithm
intervals
Results
783.0ms8000×body80valid
87.0ms993×body80nan

Profiling

Loading profile data...