Details

Time bar (total: 54.0s)

sample1.0s

Algorithm
intervals
Results
756.0ms269×body10240exit
132.0ms499×body80nan
80.0ms256×body80valid

simplify157.0ms

Calls
1 calls:
Slowest
156.0ms
(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0)))

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

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
6.0ms
(/ (log (hypot re im)) (log base))

series91.0ms

Calls
1 calls:
Slowest
91.0ms
(/ (log (hypot re im)) (log base))

simplify806.0ms

Calls
34 calls:
Slowest
213.0ms
(* -1 (/ (log (/ -1 re)) (- (log -1) (log (/ -1 base)))))
153.0ms
(/ (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (* (* (log base) (log base)) (log base)))
70.0ms
(/ (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))) (* (cbrt (log base)) (cbrt (log base))))
40.0ms
(/ (log (/ 1 re)) (log (/ 1 base)))
36.0ms
(/ (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))) (sqrt (log base)))

prune382.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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
11.0ms
(* (log (hypot re im)) (/ 1 (log base)))
2.0ms
(/ 1 (log base))

series336.0ms

Calls
2 calls:
Slowest
199.0ms
(/ 1 (log base))
136.0ms
(* (log (hypot re im)) (/ 1 (log base)))

simplify1.1s

Calls
22 calls:
Slowest
477.0ms
(* (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (* (* (/ 1 (log base)) (/ 1 (log base))) (/ 1 (log base))))
258.0ms
(* -1 (/ (log (/ -1 re)) (- (log -1) (log (/ -1 base)))))
88.0ms
(/ 1 (- (log -1) (log (/ -1 base))))
87.0ms
(+ (log (log (hypot re im))) (log (/ 1 (log base))))
52.0ms
(* (log (hypot re im)) (/ 1 (log base)))

prune569.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (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))))

series276.0ms

Calls
2 calls:
Slowest
155.0ms
(/ (log base) (log (hypot re im)))
120.0ms
(/ 1 (/ (log base) (log (hypot re im))))

simplify2.3s

Calls
56 calls:
Slowest
1.3s
(* -1 (/ (- (log -1) (log (/ -1 base))) (log (/ -1 re))))
216.0ms
(* -1 (/ (log (/ -1 re)) (- (log -1) (log (/ -1 base)))))
191.0ms
(/ (* (* (log base) (log base)) (log base)) (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))))
39.0ms
(/ (* (cbrt (log base)) (cbrt (log base))) (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))))
39.0ms
(/ (log (/ 1 base)) (log (/ 1 re)))

prune736.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
136×times-frac
68×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
24×div-inv
21×pow1
20×associate-/r*
19×log-pow
9×add-cbrt-cube add-exp-log
7×associate-/l*
4×cbrt-undiv div-exp
2×expm1-log1p-u clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
1×associate-/r/ associate-/l/
Calls
2 calls:
Slowest
10.0ms
(/ (/ 1 1) (/ (log base) (log (hypot re im))))
5.0ms
(/ (log base) (log (hypot re im)))

series275.0ms

Calls
2 calls:
Slowest
143.0ms
(/ (/ 1 1) (/ (log base) (log (hypot re im))))
132.0ms
(/ (log base) (log (hypot re im)))

simplify9.2s

Calls
189 calls:
Slowest
866.0ms
(* -1 (/ (- (log -1) (log (/ -1 base))) (log (/ -1 re))))
444.0ms
(/ (* (* (/ 1 1) (/ 1 1)) (/ 1 1)) (* (* (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im)))) (/ (log base) (log (hypot re im)))))
329.0ms
(/ (sqrt (/ 1 1)) (/ (* (cbrt (log base)) (cbrt (log base))) (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im))))))
306.0ms
(/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ (* (cbrt (log base)) (cbrt (log base))) (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im))))))
230.0ms
(/ (* (* (/ 1 1) (/ 1 1)) (/ 1 1)) (/ (* (* (log base) (log base)) (log base)) (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im)))))

prune1.5s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

regimes338.0ms

Accuracy

0% (0.4b remaining)

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

bsearch1.0ms

end0.0ms

sample34.8s

Algorithm
intervals
Results
27.0s7993×body10240exit
4.5s15986×body80nan
2.5s8000×body80valid