Details

Time bar (total: 59.1s)

sample155.0ms

Algorithm
intervals
Results
69.0ms256×body80valid
62.0ms273×body80nan

simplify37.7s

Counts
1 → 1
Iterations
IterNodes
87863
71039
6288
584
467
353
232
126
018

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize18.0ms

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×cbrt-undiv clear-num frac-2neg div-exp insert-posit16 div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
8.0ms
(/ (atan2 im re) (log base))

series59.0ms

Counts
1 → 3
Calls
1 calls:
59.0ms
(/ (atan2 im re) (log base))

simplify819.0ms

Counts
35 → 35
Iterations
IterNodes
42216
3637
2271
1108
063

prune312.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

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:
12.0ms
(* (atan2 im re) (/ 1 (log base)))
8.0ms
(/ 1 (log base))

series282.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(* (atan2 im re) (/ 1 (log base)))
226.0ms
(/ 1 (log base))

simplify8.1s

Counts
82 → 82
Iterations
IterNodes
42605
31332
2624
1218
0102

prune450.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

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×cbrt-undiv clear-num frac-2neg div-exp insert-posit16 div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
5.0ms
(/ (atan2 im re) (log base))

series33.0ms

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

simplify908.0ms

Counts
35 → 35
Iterations
IterNodes
42216
3637
2271
1108
063

prune255.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1 (/ (log base) (atan2 im re)))
0.3b
(/ (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:
14.0ms
(/ 1 (/ (log base) (atan2 im re)))
8.0ms
(/ (log base) (atan2 im re))

series103.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ 1 (/ (log base) (atan2 im re)))
51.0ms
(/ (log base) (atan2 im re))

simplify2.8s

Counts
127 → 127
Iterations
IterNodes
32369
2841
1376
0164

prune691.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

regimes538.0ms

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
29
19
08

end0.0ms

sample5.7s

Algorithm
intervals
Results
2.6s7969×body80nan
2.6s8000×body80valid