Details

Time bar (total: 19.3s)

sample193.0ms

Algorithm
intervals
Results
101.0ms284×body80nan
67.0ms256×body80valid

simplify3.5s

Counts
1 → 1
Iterations
IterNodes
done5002
52275
4333
3113
240
128
018

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

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×cbrt-undiv clear-num frac-2neg div-exp insert-posit16 div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
7.0ms
(/ (atan2 im re) (log base))

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(/ (atan2 im re) (log base))

simplify1.4s

Counts
35 → 35
Iterations
IterNodes
done5000
31341
2300
1109
063

prune129.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

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×cbrt-undiv rec-exp 1-exp cbrt-unprod insert-posit16 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 → 76
Calls
2 calls:
4.0ms
(/ 1 (log base))
10.0ms
(* (atan2 im re) (/ 1 (log base)))

series260.0ms

Counts
2 → 6
Calls
2 calls:
224.0ms
(/ 1 (log base))
36.0ms
(* (atan2 im re) (/ 1 (log base)))

simplify3.5s

Counts
82 → 82
Iterations
IterNodes
done5001
22183
1223
0102

prune337.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

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×rec-exp clear-num frac-2neg 1-exp insert-posit16 add-log-exp
1×associate-/r/ pow-flip inv-pow
Counts
2 → 121
Calls
2 calls:
12.0ms
(/ (log base) (atan2 im re))
14.0ms
(/ 1 (/ (log base) (atan2 im re)))

series123.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(/ (log base) (atan2 im re))
61.0ms
(/ 1 (/ (log base) (atan2 im re)))

simplify1.9s

Counts
127 → 127
Iterations
IterNodes
done5000
22191
1389
0164

prune414.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ 1 (atan2 im re))
0.3b
(/ 1 (log base))
0.5b
(/ (/ 1 (log base)) (/ 1 (atan2 im re)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
550×times-frac
251×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
51×pow1 add-exp-log
46×log-pow
36×div-exp
34×div-inv
22×associate-/l*
20×associate-/r*
19×add-cbrt-cube
10×cbrt-undiv rec-exp 1-exp
3×clear-num frac-2neg insert-posit16 add-log-exp
2×pow-flip inv-pow
1×associate-/r/ associate-/l/
Counts
3 → 338
Calls
3 calls:
8.0ms
(/ 1 (atan2 im re))
6.0ms
(/ 1 (log base))
10.0ms
(/ (/ 1 (log base)) (/ 1 (atan2 im re)))

series284.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(/ 1 (atan2 im re))
217.0ms
(/ 1 (log base))
58.0ms
(/ (/ 1 (log base)) (/ 1 (atan2 im re)))

simplify1.2s

Counts
347 → 347
Iterations
IterNodes
done5000
11405
0407

prune556.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0b

regimes326.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done6
06

end0.0ms

sample5.0s

Algorithm
intervals
Results
2.6s8090×body80nan
2.0s8000×body80valid