Details

Time bar (total: 47.9s)

sample927.0ms

Algorithm
intervals
Results
709.0ms252×body10240exit
125.0ms450×body80nan
58.0ms256×body80valid

simplify153.0ms

Calls
1 calls:
Slowest
152.0ms
(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0)))

prune34.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize27.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ (log (hypot re im)) (log base))
0.0b
(hypot re im)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
12×times-frac
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×pow1
4×add-cbrt-cube add-exp-log log-pow associate-/l*
3×associate-/r*
2×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
1×cbrt-undiv hypot-udef clear-num frac-2neg div-exp div-inv
Calls
2 calls:
Slowest
10.0ms
(/ (log (hypot re im)) (log base))
0.0ms
(hypot re im)

series163.0ms

Calls
2 calls:
Slowest
124.0ms
(/ (log (hypot re im)) (log base))
39.0ms
(hypot re im)

simplify781.0ms

Calls
37 calls:
Slowest
206.0ms
(* -1 (/ (log (/ -1 re)) (- (log -1) (log (/ -1 base)))))
186.0ms
(/ (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (* (* (log base) (log base)) (log base)))
35.0ms
(/ (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))) (* (cbrt (log base)) (cbrt (log base))))
35.0ms
(/ (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))) 1)
35.0ms
(/ (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))) (sqrt (log base)))

prune586.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (log (hypot re im)) (/ 1 (log base)))
0.3b
(/ 1 (log base))
0.0b
(hypot re im)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
8×add-exp-log
7×pow1
6×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
5×add-cbrt-cube
4×associate-*r* associate-*l*
3×expm1-log1p-u associate-/r* insert-posit16 log1p-expm1-u add-log-exp
2×rec-exp prod-exp div-inv
1×hypot-udef clear-num frac-2neg pow-prod-down associate-*r/ log-pow un-div-inv *-commutative cbrt-unprod pow-flip inv-pow
Calls
3 calls:
Slowest
6.0ms
(* (log (hypot re im)) (/ 1 (log base)))
1.0ms
(/ 1 (log base))
0.0ms
(hypot re im)

series328.0ms

Calls
3 calls:
Slowest
185.0ms
(/ 1 (log base))
102.0ms
(* (log (hypot re im)) (/ 1 (log base)))
40.0ms
(hypot re im)

simplify942.0ms

Calls
25 calls:
Slowest
435.0ms
(* (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (* (* (/ 1 (log base)) (/ 1 (log base))) (/ 1 (log base))))
180.0ms
(* -1 (/ (log (/ -1 re)) (- (log -1) (log (/ -1 base)))))
64.0ms
(/ 1 (- (log -1) (log (/ -1 base))))
55.0ms
(+ (log (log (hypot re im))) (log (/ 1 (log base))))
40.0ms
(/ (log (/ 1 re)) (log (/ 1 base)))

prune758.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ (log base) (log (hypot re im)))
0.3b
(/ 1 (/ (log base) (log (hypot re im))))
0.0b
(hypot re im)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac
20×add-sqr-sqrt associate-/r* *-un-lft-identity add-cube-cbrt
11×pow1
8×add-exp-log
7×log-pow
5×add-cbrt-cube
3×expm1-log1p-u insert-posit16 log1p-expm1-u div-inv associate-/l* add-log-exp
2×rec-exp clear-num frac-2neg div-exp
1×cbrt-undiv hypot-udef associate-/r/ pow-flip inv-pow
Calls
3 calls:
Slowest
5.0ms
(/ (log base) (log (hypot re im)))
4.0ms
(/ 1 (/ (log base) (log (hypot re im))))
0.0ms
(hypot re im)

series301.0ms

Calls
3 calls:
Slowest
160.0ms
(/ (log base) (log (hypot re im)))
117.0ms
(/ 1 (/ (log base) (log (hypot re im))))
24.0ms
(hypot re im)

simplify1.7s

Calls
59 calls:
Slowest
754.0ms
(* -1 (/ (- (log -1) (log (/ -1 base))) (log (/ -1 re))))
233.0ms
(* -1 (/ (log (/ -1 re)) (- (log -1) (log (/ -1 base)))))
176.0ms
(/ (* (* (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)))))
36.0ms
(/ (log (/ 1 re)) (log (/ 1 base)))

prune1.0s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ (log (hypot re im)) (log base))
0.3b
(/ 1 (/ 1 (/ (log (hypot re im)) (log base))))
0.3b
(/ 1 (/ (log (hypot re im)) (log base)))
0.0b
(hypot re im)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
24×associate-/r* times-frac
22×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
14×pow1
13×add-exp-log
7×rec-exp log-pow
6×add-cbrt-cube
5×div-inv pow-flip
4×expm1-log1p-u insert-posit16 log1p-expm1-u associate-/l* add-log-exp
3×clear-num frac-2neg div-exp associate-/r/ inv-pow
1×cbrt-undiv hypot-udef remove-double-div
Calls
4 calls:
Slowest
12.0ms
(/ (log (hypot re im)) (log base))
7.0ms
(/ 1 (/ (log (hypot re im)) (log base)))
3.0ms
(/ 1 (/ 1 (/ (log (hypot re im)) (log base))))
0.0ms
(hypot re im)

series358.0ms

Calls
4 calls:
Slowest
126.0ms
(/ 1 (/ (log (hypot re im)) (log base)))
126.0ms
(/ (log (hypot re im)) (log base))
83.0ms
(/ 1 (/ 1 (/ (log (hypot re im)) (log base))))
23.0ms
(hypot re im)

simplify2.5s

Calls
71 calls:
Slowest
1.2s
(* -1 (/ (- (log -1) (log (/ -1 base))) (log (/ -1 re))))
182.0ms
(/ (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (* (* (log base) (log base)) (log base)))
178.0ms
(* -1 (/ (log (/ -1 re)) (- (log -1) (log (/ -1 base)))))
159.0ms
(* -1 (/ (log (/ -1 re)) (- (log -1) (log (/ -1 base)))))
58.0ms
(cbrt (/ 1 (/ (log (hypot re im)) (log base))))

prune1.3s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

regimes679.0ms

Accuracy

0% (0.4b remaining)

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

bsearch3.0ms

end0.0ms

sample35.3s

Algorithm
intervals
Results
26.1s7843×body10240exit
6.4s16082×body80nan
2.0s8000×body80valid