Details

Time bar (total: 15.8s)

sample170.0ms

Algorithm
intervals
Results
74.0ms256×body80valid
66.0ms284×body80nan

simplify2.7s

Counts
1 → 1
Iterations
IterNodes
done5000
52493
4399
3139
256
133
018

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
12×times-frac
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
5×pow1
4×associate-/r* log-pow
3×add-cbrt-cube add-exp-log associate-/l*
1×expm1-log1p-u cbrt-undiv clear-num frac-2neg div-exp insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
4.0ms
(/ (atan2 im re) (log base))

series33.0ms

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

simplify1.0s

Counts
37 → 37
Iterations
IterNodes
done5001
31348
2303
1111
065

prune176.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
12×times-frac
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
5×pow1
4×associate-/r* log-pow
3×add-cbrt-cube add-exp-log associate-/l*
1×expm1-log1p-u cbrt-undiv clear-num frac-2neg div-exp insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
7.0ms
(/ (atan2 im re) (log base))

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(/ (atan2 im re) (log base))

simplify1.1s

Counts
37 → 37
Iterations
IterNodes
done5001
31348
2303
1111
065

prune172.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1 (log base))
0.4b
(* (atan2 im re) (/ 1 (log base)))

rewrite17.0ms

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×associate-/r* div-exp prod-exp
3×associate-*l* associate-/l* unswap-sqr
2×expm1-log1p-u cbrt-undiv rec-exp 1-exp cbrt-unprod insert-posit16 log1p-expm1-u div-inv add-log-exp
1×clear-num frac-2neg pow-prod-down associate-*r/ un-div-inv *-commutative pow-flip inv-pow
Counts
2 → 80
Calls
2 calls:
5.0ms
(/ 1 (log base))
11.0ms
(* (atan2 im re) (/ 1 (log base)))

series246.0ms

Counts
2 → 6
Calls
2 calls:
205.0ms
(/ 1 (log base))
41.0ms
(* (atan2 im re) (/ 1 (log base)))

simplify3.3s

Counts
86 → 86
Iterations
IterNodes
done5000
22190
1227
0106

prune246.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
60×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
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×expm1-log1p-u rec-exp clear-num frac-2neg 1-exp insert-posit16 log1p-expm1-u add-log-exp
1×associate-/r/ pow-flip inv-pow
Counts
2 → 125
Calls
2 calls:
6.0ms
(/ (log base) (atan2 im re))
8.0ms
(/ 1 (/ (log base) (atan2 im re)))

series109.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ (log base) (atan2 im re))
54.0ms
(/ 1 (/ (log base) (atan2 im re)))

simplify1.0s

Counts
131 → 131
Iterations
IterNodes
done5000
21731
1391
0168

prune369.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.0b

regimes352.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done12
212
111
08

end0.0ms

sample4.7s

Algorithm
intervals
Results
2.2s8000×body80valid
1.9s8090×body80nan