Details

Time bar (total: 2.1m)

sample162.0ms

Algorithm
intervals
Results
72.0ms256×body80valid
68.0ms273×body80nan

simplify1.7m

Counts
1 → 1
Iterations
IterNodes
816015
71249
6479
5207
4123
383
247
131
018

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

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:
5.0ms
(/ (atan2 im re) (log base))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(/ (atan2 im re) (log base))

simplify702.0ms

Counts
37 → 37
Iterations
IterNodes
42093
3631
2273
1110
065

prune362.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

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:
20.0ms
(* (atan2 im re) (/ 1 (log base)))
10.0ms
(/ 1 (log base))

series287.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(* (atan2 im re) (/ 1 (log base)))
239.0ms
(/ 1 (log base))

simplify3.0s

Counts
86 → 86
Iterations
IterNodes
43145
31609
2651
1222
0106

prune624.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

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))

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(/ (atan2 im re) (log base))

simplify775.0ms

Counts
37 → 37
Iterations
IterNodes
42093
3631
2273
1110
065

prune295.0ms

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))

rewrite33.0ms

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:
14.0ms
(/ 1 (/ (log base) (atan2 im re)))
12.0ms
(/ (log base) (atan2 im re))

series137.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(/ 1 (/ (log base) (atan2 im re)))
64.0ms
(/ (log base) (atan2 im re))

simplify10.2s

Counts
131 → 131
Iterations
IterNodes
33060
21003
1381
0168

prune776.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

regimes472.0ms

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
29
19
08

end0.0ms

sample5.8s

Algorithm
intervals
Results
2.6s7969×body80nan
2.1s8000×body80valid