Details

Time bar (total: 19.7s)

sample47.0ms

Algorithm
intervals
Results
35.0ms256×body80valid

simplify39.0ms

Calls
1 calls:
Slowest
39.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize24.0ms

Local error

Found 1 expressions with local error:

0.6b
(/ (log (hypot re im)) (log 10))

rewrite8.0ms

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
7.0ms
(/ (log (hypot re im)) (log 10))

series142.0ms

Calls
1 calls:
Slowest
142.0ms
(/ (log (hypot re im)) (log 10))

simplify838.0ms

Calls
34 calls:
Slowest
149.0ms
(/ (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (* (* (log 10) (log 10)) (log 10)))
122.0ms
(* -1 (/ (log (/ 1 re)) (log 10)))
111.0ms
(* -1 (/ (log (/ -1 re)) (log 10)))
78.0ms
(/ (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))) (* (cbrt (log 10)) (cbrt (log 10))))
25.0ms
(- (log (log (hypot re im))) (log (log 10)))

prune414.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ (log (hypot re im)) (sqrt (log 10)))
0.3b
(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
48×times-frac
35×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
28×associate-*r*
27×sqrt-prod
17×pow1
14×add-exp-log
13×log-pow
9×add-cbrt-cube
6×associate-/r*
4×associate-*l* prod-exp associate-/l*
3×div-exp div-inv
2×expm1-log1p-u cbrt-undiv rec-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Calls
2 calls:
Slowest
26.0ms
(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))
9.0ms
(/ (log (hypot re im)) (sqrt (log 10)))

series353.0ms

Calls
2 calls:
Slowest
207.0ms
(/ (log (hypot re im)) (sqrt (log 10)))
146.0ms
(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))

simplify3.2s

Calls
105 calls:
Slowest
442.0ms
(* (* (* (/ 1 (sqrt (log 10))) (/ 1 (sqrt (log 10)))) (/ 1 (sqrt (log 10)))) (* (* (/ (log (hypot re im)) (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10)))) (/ (log (hypot re im)) (sqrt (log 10)))))
214.0ms
(* (* (* (/ 1 (sqrt (log 10))) (/ 1 (sqrt (log 10)))) (/ 1 (sqrt (log 10)))) (/ (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (* (* (sqrt (log 10)) (sqrt (log 10))) (sqrt (log 10)))))
214.0ms
(/ (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (* (* (sqrt (log 10)) (sqrt (log 10))) (sqrt (log 10))))
154.0ms
(+ (log (/ 1 (sqrt (log 10)))) (- (log (log (hypot re im))) (log (sqrt (log 10)))))
132.0ms
(* -1 (* (log (/ -1 re)) (sqrt (/ 1 (log 10)))))

prune1.2s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (/ 1 (sqrt (log 10))) (* (log (hypot re im)) (/ 1 (sqrt (log 10)))))
0.2b
(* (log (hypot re im)) (/ 1 (sqrt (log 10))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
12×prod-exp
10×pow1
9×add-cbrt-cube
8×associate-*l*
6×rec-exp
5×add-sqr-sqrt *-un-lft-identity associate-*r* associate-*r/ add-cube-cbrt
4×pow-prod-down cbrt-unprod
3×un-div-inv
2×expm1-log1p-u frac-times *-commutative insert-posit16 log1p-expm1-u div-inv add-log-exp
1×associate-*l/ log-pow
Calls
2 calls:
Slowest
27.0ms
(* (/ 1 (sqrt (log 10))) (* (log (hypot re im)) (/ 1 (sqrt (log 10)))))
6.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10))))

series369.0ms

Calls
2 calls:
Slowest
221.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10))))
147.0ms
(* (/ 1 (sqrt (log 10))) (* (log (hypot re im)) (/ 1 (sqrt (log 10)))))

simplify3.2s

Calls
38 calls:
Slowest
492.0ms
(* (* (* (/ 1 (sqrt (log 10))) (/ 1 (sqrt (log 10)))) (/ 1 (sqrt (log 10)))) (* (* (* (log (hypot re im)) (/ 1 (sqrt (log 10)))) (* (log (hypot re im)) (/ 1 (sqrt (log 10))))) (* (log (hypot re im)) (/ 1 (sqrt (log 10))))))
466.0ms
(* (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (* (* (/ 1 (sqrt (log 10))) (/ 1 (sqrt (log 10)))) (/ 1 (sqrt (log 10)))))
424.0ms
(* (* (* (/ 1 (sqrt (log 10))) (/ 1 (sqrt (log 10)))) (/ 1 (sqrt (log 10)))) (* (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (* (* (/ 1 (sqrt (log 10))) (/ 1 (sqrt (log 10)))) (/ 1 (sqrt (log 10))))))
149.0ms
(+ (log (/ 1 (sqrt (log 10)))) (+ (log (log (hypot re im))) (- (log (sqrt (log 10))))))
143.0ms
(+ (log (/ 1 (sqrt (log 10)))) (+ (log (log (hypot re im))) (log (/ 1 (sqrt (log 10))))))

prune697.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (sqrt (/ 1 (sqrt (log 10)))) (* (sqrt (/ 1 (sqrt (log 10)))) (* (log (hypot re im)) (/ 1 (sqrt (log 10))))))
0.3b
(* (sqrt (/ 1 (sqrt (log 10)))) (* (log (hypot re im)) (/ 1 (sqrt (log 10)))))
0.2b
(* (log (hypot re im)) (/ 1 (sqrt (log 10))))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log
20×pow1
19×add-cbrt-cube
18×associate-*l* associate-*r/
16×prod-exp
15×sqrt-div
11×frac-times
10×pow-prod-down cbrt-unprod
9×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
8×sqrt-prod
7×un-div-inv
6×associate-*r*
4×associate-*l/
3×expm1-log1p-u rec-exp *-commutative insert-posit16 log1p-expm1-u div-inv add-log-exp
1×log-pow
Calls
3 calls:
Slowest
46.0ms
(* (sqrt (/ 1 (sqrt (log 10)))) (* (sqrt (/ 1 (sqrt (log 10)))) (* (log (hypot re im)) (/ 1 (sqrt (log 10))))))
24.0ms
(* (sqrt (/ 1 (sqrt (log 10)))) (* (log (hypot re im)) (/ 1 (sqrt (log 10)))))
6.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10))))

series883.0ms

Calls
3 calls:
Slowest
550.0ms
(* (sqrt (/ 1 (sqrt (log 10)))) (* (log (hypot re im)) (/ 1 (sqrt (log 10)))))
183.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10))))
150.0ms
(* (sqrt (/ 1 (sqrt (log 10)))) (* (sqrt (/ 1 (sqrt (log 10)))) (* (log (hypot re im)) (/ 1 (sqrt (log 10))))))

simplify5.5s

Calls
75 calls:
Slowest
429.0ms
(* (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (* (* (/ 1 (sqrt (log 10))) (/ 1 (sqrt (log 10)))) (/ 1 (sqrt (log 10)))))
329.0ms
(* (* (* (sqrt (/ 1 (sqrt (log 10)))) (sqrt (/ 1 (sqrt (log 10))))) (sqrt (/ 1 (sqrt (log 10))))) (* (* (* (sqrt (/ 1 (sqrt (log 10)))) (sqrt (/ 1 (sqrt (log 10))))) (sqrt (/ 1 (sqrt (log 10))))) (* (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (* (* (/ 1 (sqrt (log 10))) (/ 1 (sqrt (log 10)))) (/ 1 (sqrt (log 10)))))))
278.0ms
(* (* (* (sqrt (/ 1 (sqrt (log 10)))) (sqrt (/ 1 (sqrt (log 10))))) (sqrt (/ 1 (sqrt (log 10))))) (* (* (* (sqrt (/ 1 (sqrt (log 10)))) (sqrt (/ 1 (sqrt (log 10))))) (sqrt (/ 1 (sqrt (log 10))))) (* (* (* (log (hypot re im)) (/ 1 (sqrt (log 10)))) (* (log (hypot re im)) (/ 1 (sqrt (log 10))))) (* (log (hypot re im)) (/ 1 (sqrt (log 10)))))))
272.0ms
(+ (log (sqrt (/ 1 (sqrt (log 10))))) (+ (log (sqrt (/ 1 (sqrt (log 10))))) (+ (log (log (hypot re im))) (log (/ 1 (sqrt (log 10)))))))
236.0ms
(+ (log (sqrt (/ 1 (sqrt (log 10))))) (log (* (sqrt (/ 1 (sqrt (log 10)))) (* (log (hypot re im)) (/ 1 (sqrt (log 10)))))))

prune1.2s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0b

regimes158.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch5.0ms

end0.0ms

sample1.3s

Algorithm
intervals
Results
1.2s8000×body80valid