Details

Time bar (total: 16.5s)

sample149.0ms

Algorithm
intervals
Results
74.0ms254×body80nan
54.0ms256×body80valid

simplify2.9s

Counts
1 → 1
Iterations
IterNodes
done2259
82259
71149
6401
5177
4115
368
233
126
018

prune13.0ms

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:
4.0ms
(/ (atan2 im re) (log base))

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(/ (atan2 im re) (log base))

simplify1.3s

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

prune289.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (log base) (atan2 im re)))
0.3b
(/ (log base) (atan2 im re))

rewrite22.0ms

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:
11.0ms
(/ 1 (/ (log base) (atan2 im re)))
10.0ms
(/ (log base) (atan2 im re))

series136.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(/ 1 (/ (log base) (atan2 im re)))
63.0ms
(/ (log base) (atan2 im re))

simplify902.0ms

Counts
127 → 127
Iterations
IterNodes
done2000
32000
2856
1379
0164

prune1.2s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (/ 1 (log base)) (atan2 im re))
0.3b
(/ 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-*l*
15×add-exp-log
12×pow1
9×add-cbrt-cube
7×log-pow
4×associate-/r* div-exp prod-exp
3×associate-*r* 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-*l/ *-commutative pow-flip inv-pow
Counts
2 → 75
Calls
2 calls:
11.0ms
(* (/ 1 (log base)) (atan2 im re))
4.0ms
(/ 1 (log base))

series250.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(* (/ 1 (log base)) (atan2 im re))
196.0ms
(/ 1 (log base))

simplify1.0s

Counts
81 → 81
Iterations
IterNodes
done2000
42000
31111
2511
1222
0103

prune660.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ 1 (atan2 im re))
0.2b
(/ 1 (* (log base) (/ 1 (atan2 im re))))
0.4b
(* (log base) (/ 1 (atan2 im re)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
51×add-exp-log
28×add-sqr-sqrt
23×times-frac
22×*-un-lft-identity
21×add-cube-cbrt
20×div-exp
19×add-cbrt-cube
16×prod-exp
13×associate-*r*
10×pow1 rec-exp 1-exp
6×cbrt-undiv associate-/l*
4×associate-/r* associate-*l* cbrt-unprod
3×insert-posit16 div-inv pow-flip add-log-exp unswap-sqr
2×clear-num frac-2neg pow-prod-down associate-*r/ associate-/r/ un-div-inv inv-pow
1×log-pow *-commutative
Counts
3 → 111
Calls
3 calls:
4.0ms
(/ 1 (atan2 im re))
14.0ms
(/ 1 (* (log base) (/ 1 (atan2 im re))))
15.0ms
(* (log base) (/ 1 (atan2 im re)))

series119.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(/ 1 (atan2 im re))
65.0ms
(/ 1 (* (log base) (/ 1 (atan2 im re))))
46.0ms
(* (log base) (/ 1 (atan2 im re)))

simplify933.0ms

Counts
120 → 120
Iterations
IterNodes
done2001
32001
2866
1331
0142

prune1.2s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes275.0ms

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
2.5s8000×body80valid
2.0s7915×body80nan