Details

Time bar (total: 1.4m)

sample128.0ms

Algorithm
intervals
Results
61.0ms254×body80nan
47.0ms256×body80valid

simplify39.3s

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

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize14.0ms

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

series43.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(/ (atan2 im re) (log base))

simplify633.0ms

Counts
35 → 35
Iterations
IterNodes
42216
3637
2271
1108
063

prune272.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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:
7.0ms
(/ 1 (/ (log base) (atan2 im re)))
6.0ms
(/ (log base) (atan2 im re))

series111.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(/ 1 (/ (log base) (atan2 im re)))
44.0ms
(/ (log base) (atan2 im re))

simplify2.7s

Counts
127 → 127
Iterations
IterNodes
32369
2841
1376
0164

prune1.2s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

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))
5.0ms
(/ 1 (log base))

series301.0ms

Counts
2 → 6
Calls
2 calls:
78.0ms
(* (/ 1 (log base)) (atan2 im re))
223.0ms
(/ 1 (log base))

simplify4.1s

Counts
81 → 81
Iterations
IterNodes
54017
41937
31109
2496
1221
0103

prune968.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

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)))

rewrite47.0ms

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))
20.0ms
(/ 1 (* (log base) (/ 1 (atan2 im re))))
21.0ms
(* (log base) (/ 1 (atan2 im re)))

series149.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ 1 (atan2 im re))
80.0ms
(/ 1 (* (log base) (/ 1 (atan2 im re))))
64.0ms
(* (log base) (/ 1 (atan2 im re)))

simplify28.9s

Counts
120 → 120
Iterations
IterNodes
35775
21412
1328
0142

prune1.2s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

regimes311.0ms

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
16
06

end0.0ms

sample5.9s

Algorithm
intervals
Results
2.6s8000×body80valid
2.3s7915×body80nan