Details

Time bar (total: 14.9s)

sample139.0ms

Algorithm
intervals
Results
60.0ms256×body80valid
52.0ms245×body80nan

simplify2.4s

Counts
1 → 1
Iterations
IterNodes
done2151
82151
71130
6438
5190
4132
386
248
131
018

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize19.0ms

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×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))

series44.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(/ (atan2 im re) (log base))

simplify1.2s

Counts
37 → 37
Iterations
IterNodes
done2006
52006
41860
3649
2274
1111
065

prune411.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

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:
8.0ms
(/ 1 (log base))
23.0ms
(* (atan2 im re) (/ 1 (log base)))

series312.0ms

Counts
2 → 6
Calls
2 calls:
257.0ms
(/ 1 (log base))
55.0ms
(* (atan2 im re) (/ 1 (log base)))

simplify989.0ms

Counts
86 → 86
Iterations
IterNodes
done2038
42038
31326
2666
1224
0106

prune770.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

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

simplify814.0ms

Counts
131 → 131
Iterations
IterNodes
done2004
32004
21046
1384
0168

prune1.2s

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

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)))

rewrite52.0ms

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 insert-posit16 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 → 117
Calls
3 calls:
6.0ms
(/ 1 (atan2 im re))
27.0ms
(/ 1 (* (log base) (/ 1 (atan2 im re))))
16.0ms
(* (log base) (/ 1 (atan2 im re)))

series135.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ 1 (atan2 im re))
71.0ms
(/ 1 (* (log base) (/ 1 (atan2 im re))))
58.0ms
(* (log base) (/ 1 (atan2 im re)))

simplify759.0ms

Counts
126 → 126
Iterations
IterNodes
done2000
32000
2876
1341
0148

prune1.1s

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes248.0ms

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

sample4.1s

Algorithm
intervals
Results
1.8s7955×body80nan
1.6s8000×body80valid