Details

Time bar (total: 14.1s)

sample95.0ms

Algorithm
intervals
Results
42.0ms220×body80nan
37.0ms256×body80valid

simplify2.6s

Counts
1 → 1
Iterations
IterNodes
done2259
82259
71149
6401
5177
4115
368
233
126
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))

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))

series52.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(/ (atan2 im re) (log base))

simplify1.4s

Counts
35 → 35
Iterations
IterNodes
done2004
52004
41956
3675
2277
1109
063

prune153.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

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:
7.0ms
(/ 1 (log base))
21.0ms
(* (atan2 im re) (/ 1 (log base)))

series260.0ms

Counts
2 → 6
Calls
2 calls:
213.0ms
(/ 1 (log base))
47.0ms
(* (atan2 im re) (/ 1 (log base)))

simplify1.3s

Counts
82 → 82
Iterations
IterNodes
done2023
42023
31299
2662
1220
0102

prune290.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ (log base) (atan2 im re))
0.5b
(/ 1 (/ (log base) (atan2 im re)))

rewrite18.0ms

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:
6.0ms
(/ (log base) (atan2 im re))
10.0ms
(/ 1 (/ (log base) (atan2 im re)))

series117.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ (log base) (atan2 im re))
65.0ms
(/ 1 (/ (log base) (atan2 im re)))

simplify989.0ms

Counts
127 → 127
Iterations
IterNodes
done2002
32002
21049
1383
0164

prune394.0ms

Pruning

15 alts after pruning (12 fresh and 3 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ 1 (atan2 im re))
0.3b
(/ 1 (log base))
0.6b
(/ (/ 1 (log base)) (/ 1 (atan2 im re)))

rewrite35.0ms

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:
4.0ms
(/ 1 (atan2 im re))
7.0ms
(/ 1 (log base))
16.0ms
(/ (/ 1 (log base)) (/ 1 (atan2 im re)))

series297.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ 1 (atan2 im re))
232.0ms
(/ 1 (log base))
59.0ms
(/ (/ 1 (log base)) (/ 1 (atan2 im re)))

simplify903.0ms

Counts
347 → 347
Iterations
IterNodes
done2003
22003
11214
0407

prune563.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes231.0ms

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

sample4.4s

Algorithm
intervals
Results
2.3s7811×body80nan
1.6s8000×body80valid