Details

Time bar (total: 21.4s)

sample38.0ms

Algorithm
intervals
Results
28.0ms256×body80valid

simplify20.0ms

Calls
1 calls:
Slowest
20.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))

prune25.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize13.0ms

Local error

Found 1 expressions with local error:

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

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 10))

series219.0ms

Calls
1 calls:
Slowest
218.0ms
(/ (log (hypot re im)) (log 10))

simplify940.0ms

Calls
34 calls:
Slowest
200.0ms
(/ (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (* (* (log 10) (log 10)) (log 10)))
154.0ms
(* -1 (/ (log (/ -1 re)) (log 10)))
127.0ms
(* -1 (/ (log (/ 1 re)) (log 10)))
76.0ms
(/ (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))) (* (cbrt (log 10)) (cbrt (log 10))))
31.0ms
(/ (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))) (sqrt (log 10)))

prune373.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.1b

localize23.0ms

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))))

rewrite18.0ms

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
9.0ms
(/ (log (hypot re im)) (sqrt (log 10)))
8.0ms
(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))

series522.0ms

Calls
2 calls:
Slowest
295.0ms
(/ (log (hypot re im)) (sqrt (log 10)))
227.0ms
(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))

simplify3.2s

Calls
105 calls:
Slowest
400.0ms
(* (* (* (/ 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)))))
195.0ms
(* (* (* (/ 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)))))
188.0ms
(/ (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (* (* (sqrt (log 10)) (sqrt (log 10))) (sqrt (log 10))))
152.0ms
(* -1 (* (sqrt (/ 1 (log 10))) (log (/ 1 re))))
150.0ms
(* -1 (* (log (/ -1 re)) (sqrt (/ 1 (log 10)))))

prune1.3s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

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
14.0ms
(* (/ 1 (sqrt (log 10))) (* (log (hypot re im)) (/ 1 (sqrt (log 10)))))
6.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10))))

series541.0ms

Calls
2 calls:
Slowest
329.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10))))
212.0ms
(* (/ 1 (sqrt (log 10))) (* (log (hypot re im)) (/ 1 (sqrt (log 10)))))

simplify3.2s

Calls
38 calls:
Slowest
480.0ms
(* (* (* (/ 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))))))
468.0ms
(* (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (* (* (/ 1 (sqrt (log 10))) (/ 1 (sqrt (log 10)))) (/ 1 (sqrt (log 10)))))
431.0ms
(* (* (* (/ 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))))))
159.0ms
(+ (log (/ 1 (sqrt (log 10)))) (+ (log (log (hypot re im))) (log (/ 1 (sqrt (log 10))))))
154.0ms
(* -1 (* (log (/ -1 re)) (sqrt (/ 1 (log 10)))))

prune687.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite82.0ms

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
43.0ms
(* (sqrt (/ 1 (sqrt (log 10)))) (* (sqrt (/ 1 (sqrt (log 10)))) (* (log (hypot re im)) (/ 1 (sqrt (log 10))))))
20.0ms
(* (sqrt (/ 1 (sqrt (log 10)))) (* (log (hypot re im)) (/ 1 (sqrt (log 10)))))
17.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10))))

series1.2s

Calls
3 calls:
Slowest
641.0ms
(* (sqrt (/ 1 (sqrt (log 10)))) (* (log (hypot re im)) (/ 1 (sqrt (log 10)))))
300.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10))))
210.0ms
(* (sqrt (/ 1 (sqrt (log 10)))) (* (sqrt (/ 1 (sqrt (log 10)))) (* (log (hypot re im)) (/ 1 (sqrt (log 10))))))

simplify5.6s

Calls
75 calls:
Slowest
484.0ms
(* (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (* (* (/ 1 (sqrt (log 10))) (/ 1 (sqrt (log 10)))) (/ 1 (sqrt (log 10)))))
366.0ms
(* (* (* (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)))))))
312.0ms
(+ (log (sqrt (/ 1 (sqrt (log 10))))) (+ (log (sqrt (/ 1 (sqrt (log 10))))) (+ (log (log (hypot re im))) (log (/ 1 (sqrt (log 10)))))))
253.0ms
(* (* (* (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)))))))
243.0ms
(+ (log (sqrt (/ 1 (sqrt (log 10))))) (log (* (sqrt (/ 1 (sqrt (log 10)))) (* (log (hypot re im)) (/ 1 (sqrt (log 10)))))))

prune1.3s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes139.0ms

Accuracy

0% (0.5b remaining)

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

bsearch6.0ms

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.8s8000×body80valid