Details

Time bar (total: 4.0m)

sample1.1s

Algorithm
intervals
Results
849.0ms246×body10240exit
140.0ms535×body80nan
64.0ms256×body80valid

simplify3.1m

Counts
1 → 1

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 1 expressions with local error:

0.4b
(/ (log (hypot re im)) (log base))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
16×times-frac
11×add-sqr-sqrt pow1 *-un-lft-identity add-cube-cbrt
10×log-pow
4×associate-/r* associate-/l*
3×add-cbrt-cube add-exp-log
1×expm1-log1p-u cbrt-undiv clear-num frac-2neg div-exp insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
1 → 39
Calls
1 calls:
Slowest
12.0ms
(/ (log (hypot re im)) (log base))

series149.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
149.0ms
(/ (log (hypot re im)) (log base))

simplify1.1s

Counts
42 → 42

prune488.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (log (hypot re im)) (/ 1 (log base)))
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-*r*
15×add-exp-log
13×pow1
9×add-cbrt-cube
8×log-pow
4×associate-/r* div-exp associate-*l* prod-exp
3×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 → 81
Calls
2 calls:
Slowest
11.0ms
(* (log (hypot re im)) (/ 1 (log base)))
4.0ms
(/ 1 (log base))

series403.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
239.0ms
(/ 1 (log base))
164.0ms
(* (log (hypot re im)) (/ 1 (log base)))

simplify1.5s

Counts
87 → 87

prune1.0s

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ (log base) (log (hypot re im)))
0.3b
(/ 1 (/ (log base) (log (hypot re im))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
140×times-frac
69×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
45×pow1
42×log-pow
24×associate-/r*
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 → 146
Calls
2 calls:
Slowest
15.0ms
(/ 1 (/ (log base) (log (hypot re im))))
13.0ms
(/ (log base) (log (hypot re im)))

series397.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
233.0ms
(/ (log base) (log (hypot re im)))
164.0ms
(/ 1 (/ (log base) (log (hypot re im))))

simplify1.1s

Counts
152 → 152

prune1.7s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.4b
(* (log base) (/ 1 (log (hypot re im))))
0.3b
(/ 1 (* (log base) (/ 1 (log (hypot re im)))))
0.2b
(/ 1 (log (hypot re im)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
51×add-exp-log
30×add-sqr-sqrt
29×times-frac
24×*-un-lft-identity
23×add-cube-cbrt
20×div-exp
19×add-cbrt-cube
17×pow1
16×associate-*r* prod-exp
10×rec-exp 1-exp
8×log-pow
6×cbrt-undiv associate-/l*
5×associate-/r*
4×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×*-commutative
Counts
3 → 124
Calls
3 calls:
Slowest
18.0ms
(/ 1 (* (log base) (/ 1 (log (hypot re im)))))
11.0ms
(* (log base) (/ 1 (log (hypot re im))))
4.0ms
(/ 1 (log (hypot re im)))

series532.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
204.0ms
(* (log base) (/ 1 (log (hypot re im))))
190.0ms
(/ 1 (* (log base) (/ 1 (log (hypot re im)))))
138.0ms
(/ 1 (log (hypot re im)))

simplify1.3s

Counts
133 → 133

prune1.4s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0b

regimes486.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch1.0ms

end0.0ms

sample35.6s

Algorithm
intervals
Results
27.1s8028×body10240exit
5.3s16047×body80nan
2.1s8000×body80valid