Details

Time bar (total: 2.1m)

sample178.0ms

Algorithm
intervals
Results
77.0ms230×body80nan
72.0ms256×body80valid

simplify1.8m

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

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize22.0ms

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 log1p-expm1-u div-inv add-log-exp
Counts
1 → 33
Calls
1 calls:
7.0ms
(/ (atan2 im re) (log base))

series54.0ms

Counts
1 → 3
Calls
1 calls:
54.0ms
(/ (atan2 im re) (log base))

simplify720.0ms

Counts
36 → 36
Iterations
IterNodes
42023
3625
2271
1109
064

prune434.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

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 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 → 78
Calls
2 calls:
17.0ms
(* (atan2 im re) (/ 1 (log base)))
8.0ms
(/ 1 (log base))

series297.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(* (atan2 im re) (/ 1 (log base)))
245.0ms
(/ 1 (log base))

simplify2.5s

Counts
84 → 84
Iterations
IterNodes
42882
31575
2648
1217
0104

prune913.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (log base) (atan2 im re))
0.5b
(/ 1 (/ (log base) (atan2 im re)))

rewrite30.0ms

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 log1p-expm1-u add-log-exp
1×associate-/r/ pow-flip inv-pow
Counts
2 → 123
Calls
2 calls:
10.0ms
(/ (log base) (atan2 im re))
12.0ms
(/ 1 (/ (log base) (atan2 im re)))

series147.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(/ (log base) (atan2 im re))
79.0ms
(/ 1 (/ (log base) (atan2 im re)))

simplify3.0s

Counts
129 → 129
Iterations
IterNodes
32272
2805
1379
0166

prune1.3s

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ 1 (atan2 im re))
0.4b
(* (log base) (/ 1 (atan2 im re)))
0.5b
(/ 1 (* (log base) (/ 1 (atan2 im re))))

rewrite29.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 114
Calls
3 calls:
4.0ms
(/ 1 (atan2 im re))
9.0ms
(* (log base) (/ 1 (atan2 im re)))
14.0ms
(/ 1 (* (log base) (/ 1 (atan2 im re))))

series124.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ 1 (atan2 im re))
52.0ms
(* (log base) (/ 1 (atan2 im re)))
67.0ms
(/ 1 (* (log base) (/ 1 (atan2 im re))))

simplify4.8s

Counts
123 → 123
Iterations
IterNodes
32594
2884
1332
0145

prune1.2s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

regimes369.0ms

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

sample5.4s

Algorithm
intervals
Results
2.9s8000×body80valid
2.0s8160×body80nan