Details

Time bar (total: 48.1s)

sample974.0ms

Algorithm
intervals
Results
776.0ms261×body10240exit
109.0ms469×body80nan
55.0ms256×body80valid

simplify175.0ms

Calls
1 calls:
Slowest
175.0ms
(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0)))

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize23.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
12×times-frac
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
5×pow1
4×log-pow associate-/l*
3×associate-/r* 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
Calls
1 calls:
Slowest
11.0ms
(/ (log (hypot re im)) (log base))

series169.0ms

Calls
1 calls:
Slowest
169.0ms
(/ (log (hypot re im)) (log base))

simplify821.0ms

Calls
34 calls:
Slowest
207.0ms
(/ (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (* (* (log base) (log base)) (log base)))
200.0ms
(* -1 (/ (log (/ -1 re)) (- (log -1) (log (/ -1 base)))))
61.0ms
(/ (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))) (* (cbrt (log base)) (cbrt (log base))))
42.0ms
(/ (log (/ 1 re)) (log (/ 1 base)))
33.0ms
(/ (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))) 1)

prune464.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
7×add-exp-log
6×pow1
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×add-cbrt-cube associate-*r* associate-*l*
3×associate-/r*
2×expm1-log1p-u rec-exp prod-exp insert-posit16 log1p-expm1-u div-inv add-log-exp
1×clear-num frac-2neg pow-prod-down associate-*r/ log-pow un-div-inv *-commutative cbrt-unprod pow-flip inv-pow
Calls
2 calls:
Slowest
5.0ms
(* (log (hypot re im)) (/ 1 (log base)))
1.0ms
(/ 1 (log base))

series363.0ms

Calls
2 calls:
Slowest
229.0ms
(/ 1 (log base))
135.0ms
(* (log (hypot re im)) (/ 1 (log base)))

simplify1.0s

Calls
22 calls:
Slowest
455.0ms
(* (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (* (* (/ 1 (log base)) (/ 1 (log base))) (/ 1 (log base))))
191.0ms
(* -1 (/ (log (/ -1 re)) (- (log -1) (log (/ -1 base)))))
97.0ms
(/ 1 (- (log -1) (log (/ -1 base))))
60.0ms
(+ (log (log (hypot re im))) (log (/ 1 (log base))))
40.0ms
(/ (log (/ 1 re)) (log (/ 1 base)))

prune496.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

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))))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac
20×associate-/r*
19×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
10×pow1
7×add-exp-log log-pow
4×add-cbrt-cube
3×div-inv associate-/l*
2×expm1-log1p-u rec-exp clear-num frac-2neg div-exp insert-posit16 log1p-expm1-u add-log-exp
1×cbrt-undiv associate-/r/ pow-flip inv-pow
Calls
2 calls:
Slowest
4.0ms
(/ (log base) (log (hypot re im)))
2.0ms
(/ 1 (/ (log base) (log (hypot re im))))

series381.0ms

Calls
2 calls:
Slowest
200.0ms
(/ 1 (/ (log base) (log (hypot re im))))
180.0ms
(/ (log base) (log (hypot re im)))

simplify1.9s

Calls
56 calls:
Slowest
921.0ms
(* -1 (/ (- (log -1) (log (/ -1 base))) (log (/ -1 re))))
217.0ms
(* -1 (/ (log (/ -1 re)) (- (log -1) (log (/ -1 base)))))
150.0ms
(/ (* (* (log base) (log base)) (log base)) (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))))
73.0ms
(/ (* (cbrt (log base)) (cbrt (log base))) (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))))
40.0ms
(/ (log (/ 1 re)) (log (/ 1 base)))

prune846.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log
10×pow1
6×add-sqr-sqrt rec-exp *-un-lft-identity add-cube-cbrt
5×associate-/r* add-cbrt-cube
4×associate-*r* prod-exp
3×expm1-log1p-u associate-*l* insert-posit16 log1p-expm1-u div-inv pow-flip add-log-exp
2×clear-num frac-2neg pow-prod-down associate-*r/ associate-/r/ un-div-inv inv-pow
1×log-pow *-commutative cbrt-unprod
Calls
3 calls:
Slowest
5.0ms
(* (log base) (/ 1 (log (hypot re im))))
4.0ms
(/ 1 (* (log base) (/ 1 (log (hypot re im)))))
1.0ms
(/ 1 (log (hypot re im)))

series498.0ms

Calls
3 calls:
Slowest
221.0ms
(* (log base) (/ 1 (log (hypot re im))))
145.0ms
(/ 1 (* (log base) (/ 1 (log (hypot re im)))))
131.0ms
(/ 1 (log (hypot re im)))

simplify1.9s

Calls
31 calls:
Slowest
856.0ms
(* -1 (/ (- (log -1) (log (/ -1 base))) (log (/ -1 re))))
457.0ms
(* (* (* (log base) (log base)) (log base)) (* (* (/ 1 (log (hypot re im))) (/ 1 (log (hypot re im)))) (/ 1 (log (hypot re im)))))
157.0ms
(* -1 (/ (log (/ -1 re)) (- (log -1) (log (/ -1 base)))))
71.0ms
(* (log base) (/ 1 (log (hypot re im))))
45.0ms
(+ (log (log base)) (log (/ 1 (log (hypot re im)))))

prune744.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes358.0ms

Accuracy

0% (0.4b remaining)

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

bsearch1.0ms

end0.0ms

sample36.9s

Algorithm
intervals
Results
29.0s8088×body10240exit
4.4s16124×body80nan
2.7s8000×body80valid