Details

Time bar (total: 59.5s)

sample1.2s

Algorithm
intervals
Results
920.0ms280×body10240exit
190.0ms552×body80nan
66.0ms256×body80valid

simplify134.0ms

Calls
1 calls:
Slowest
134.0ms
(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0)))

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
16×times-frac
12×add-sqr-sqrt pow1 *-un-lft-identity add-cube-cbrt
10×log-pow
4×associate-/r* add-cbrt-cube add-exp-log associate-/l*
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
13.0ms
(/ (log (hypot re im)) (log base))
0.0ms
(hypot re im)

series227.0ms

Calls
2 calls:
Slowest
149.0ms
(/ (log (hypot re im)) (log base))
78.0ms
(hypot re im)

simplify1.2s

Calls
46 calls:
Slowest
465.0ms
(/ (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (* (* (log base) (log base)) (log base)))
204.0ms
(* -1 (/ (log (/ -1 re)) (- (log -1) (log (/ -1 base)))))
77.0ms
(/ (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))) (* (cbrt (log base)) (cbrt (log base))))
36.0ms
(/ (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))) (sqrt (log base)))
34.0ms
(/ (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))) 1)

prune608.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 3 expressions with local error:

0.4b
(* (log (hypot re im)) (/ 1 (log base)))
0.2b
(/ 1 (log base))
0.0b
(hypot re im)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
26×times-frac
25×*-un-lft-identity
23×add-cube-cbrt
16×associate-*r* add-exp-log
15×pow1
10×add-cbrt-cube associate-*r/
9×log-pow
8×associate-/r*
7×associate-/l*
4×div-exp associate-*l* prod-exp
3×expm1-log1p-u clear-num un-div-inv insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×cbrt-undiv rec-exp frac-2neg 1-exp cbrt-unprod div-inv
1×hypot-udef pow-prod-down *-commutative pow-flip inv-pow
Calls
3 calls:
Slowest
14.0ms
(* (log (hypot re im)) (/ 1 (log base)))
5.0ms
(/ 1 (log base))
0.0ms
(hypot re im)

series475.0ms

Calls
3 calls:
Slowest
231.0ms
(/ 1 (log base))
161.0ms
(* (log (hypot re im)) (/ 1 (log base)))
84.0ms
(hypot re im)

simplify2.5s

Calls
87 calls:
Slowest
523.0ms
(* (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (* (* (/ 1 (log base)) (/ 1 (log base))) (/ 1 (log base))))
274.0ms
(* (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (/ (* (* 1 1) 1) (* (* (log base) (log base)) (log base))))
219.0ms
(* -1 (/ (log (/ -1 re)) (- (log -1) (log (/ -1 base)))))
141.0ms
(/ (* (* 1 1) 1) (* (* (log base) (log base)) (log base)))
78.0ms
(+ (log (log (hypot re im))) (- 0 (log (log base))))

prune1.3s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (log (hypot re im)) (log1p (expm1 (/ 1 (log base)))))
0.3b
(log1p (expm1 (/ 1 (log base))))
0.2b
(expm1 (/ 1 (log base)))
0.2b
(/ 1 (log base))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
12×pow1 times-frac
10×add-exp-log
8×add-cbrt-cube
5×expm1-log1p-u log-pow log1p-expm1-u
4×associate-/r* associate-*l* insert-posit16 add-log-exp
3×associate-*r* associate-/l*
2×div-exp log1p-expm1
1×cbrt-undiv rec-exp log1p-udef expm1-log1p clear-num frac-2neg 1-exp pow-prod-down prod-exp *-commutative cbrt-unprod div-inv pow-flip inv-pow expm1-udef unswap-sqr
Calls
4 calls:
Slowest
7.0ms
(* (log (hypot re im)) (log1p (expm1 (/ 1 (log base)))))
4.0ms
(/ 1 (log base))
0.0ms
(expm1 (/ 1 (log base)))
0.0ms
(log1p (expm1 (/ 1 (log base))))

series1.1s

Calls
4 calls:
Slowest
424.0ms
(log1p (expm1 (/ 1 (log base))))
259.0ms
(/ 1 (log base))
233.0ms
(expm1 (/ 1 (log base)))
194.0ms
(* (log (hypot re im)) (log1p (expm1 (/ 1 (log base)))))

simplify1.8s

Calls
58 calls:
Slowest
410.0ms
(* (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (* (* (log1p (expm1 (/ 1 (log base)))) (log1p (expm1 (/ 1 (log base))))) (log1p (expm1 (/ 1 (log base))))))
247.0ms
(* -1 (/ (log (/ -1 re)) (- (log -1) (log (/ -1 base)))))
145.0ms
(/ (* (* 1 1) 1) (* (* (log base) (log base)) (log base)))
97.0ms
(/ 1 (- (log -1) (log (/ -1 base))))
87.0ms
(/ 1 (- (log -1) (log (/ -1 base))))

prune1.4s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
140×times-frac
73×*-un-lft-identity
72×add-sqr-sqrt add-cube-cbrt
49×pow1
45×log-pow
28×associate-/r*
16×add-exp-log
13×associate-/l*
11×associate-/r/
10×add-cbrt-cube
8×div-exp
6×div-inv
4×cbrt-undiv clear-num
3×expm1-log1p-u frac-2neg insert-posit16 log1p-expm1-u remove-double-div add-log-exp
2×rec-exp 1-exp
1×hypot-udef pow-flip inv-pow
Calls
3 calls:
Slowest
10.0ms
(/ 1 (/ (log base) (log (hypot re im))))
10.0ms
(/ (log base) (log (hypot re im)))
0.0ms
(hypot re im)

series483.0ms

Calls
3 calls:
Slowest
210.0ms
(/ 1 (/ (log base) (log (hypot re im))))
209.0ms
(/ (log base) (log (hypot re im)))
65.0ms
(hypot re im)

simplify9.2s

Calls
212 calls:
Slowest
734.0ms
(* -1 (/ (- (log -1) (log (/ -1 base))) (log (/ -1 re))))
497.0ms
(/ (* (* 1 1) 1) (* (* (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im)))) (/ (log base) (log (hypot re im)))))
472.0ms
(/ (* (* (log base) (log base)) (log base)) (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))))
337.0ms
(/ (sqrt 1) (/ (* (cbrt (log base)) (cbrt (log base))) (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im))))))
281.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (log base)) (cbrt (log base))) (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im))))))

prune1.9s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

regimes577.0ms

Accuracy

0% (0.4b remaining)

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

bsearch3.0ms

end0.0ms

sample35.2s

Algorithm
intervals
Results
26.4s7720×body10240exit
4.7s15582×body80nan
3.4s8000×body80valid