Details

Time bar (total: 14.0s)

sample75.0ms

Algorithm
intervals
Results
26.0ms256×body80valid
23.0ms244×body80nan

simplify43.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01828
12728
24428
35628
47428
58028
done8028

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 31.9b

Counts
2 → 1

localize20.0ms

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)))
0.3b
(* (atan2 im re) (log base))
0.5b
(* (log base) (log base))
29.6b
(sqrt (+ (* re re) (* im im)))

rewrite32.0ms

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:
10.0ms
(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0)))
5.0ms
(* (atan2 im re) (log base))
5.0ms
(* (log base) (log base))
4.0ms
(sqrt (+ (* re re) (* im im)))

series48.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0)))
10.0ms
(* (atan2 im re) (log base))
17.0ms
(* (log base) (log base))
8.0ms
(sqrt (+ (* re re) (* im im)))

simplify742.0ms

Counts
120 → 120
Iterations

Useful iterations: 2 (242.0ms)

IterNodesCost
01952250
14392115
213451849
done50001849

prune242.0ms

Filtered
81 candidates to 120 candidates (-48.1%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New10911120
Fresh000
Picked101
Done000
Total11011121

Merged error: 0.1b

Counts
121 → 11

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))

series12.0ms

Counts
1 → 3
Calls
1 calls:
12.0ms
(/ (atan2 im re) (log base))

simplify3.2s

Counts
34 → 34
Iterations

Useful iterations: 3 (101.0ms)

IterNodesCost
065384
1104364
2206335
3503330
41234330
53629330
done5001330

prune72.0ms

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

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New27734
Fresh7310
Picked011
Done000
Total341145

Merged error: 0.0b

Counts
45 → 11

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (log base))
0.3b
(* (atan2 im re) (/ 1 (log base)))

rewrite15.0ms

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:
4.0ms
(/ 1 (log base))
8.0ms
(* (atan2 im re) (/ 1 (log base)))

series30.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(/ 1 (log base))
12.0ms
(* (atan2 im re) (/ 1 (log base)))

simplify3.4s

Counts
80 → 80
Iterations

Useful iterations: 3 (393.0ms)

IterNodesCost
0102771
1206597
2430519
3956509
42633509
done5000509

prune85.0ms

Filtered
35 candidates to 80 candidates (-128.6%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New79180
Fresh099
Picked011
Done011
Total791291

Merged error: 0.0b

Counts
91 → 12

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

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:
7.0ms
(/ 1 (/ (log base) (atan2 im re)))
4.0ms
(/ (log base) (atan2 im re))

series27.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(/ 1 (/ (log base) (atan2 im re)))
13.0ms
(/ (log base) (atan2 im re))

simplify3.3s

Counts
125 → 125
Iterations

Useful iterations: 3 (456.0ms)

IterNodesCost
01641858
13371567
26411380
315121346
437011346
done50011346

prune60.0ms

Filtered
53 candidates to 125 candidates (-135.8%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New1232125
Fresh099
Picked101
Done022
Total12413137

Merged error: 0.0b

Counts
137 → 13

regimes364.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066
done66

end0.0ms

sample2.2s

Algorithm
intervals
Results
788.0ms8000×body80valid
737.0ms7896×body80nan

Profiling

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