Details

Time bar (total: 39.4s)

sample41.0ms

Algorithm
intervals
Results
30.0ms256×body80valid

simplify14.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
14.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize38.0ms

Local error

Found 1 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
16×times-frac
11×add-sqr-sqrt pow1 *-un-lft-identity add-cube-cbrt
10×log-pow
4×associate-/r* associate-/l*
3×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
Counts
1 → 39
Calls
1 calls:
Slowest
15.0ms
(/ (log (hypot re im)) (log 10))

series198.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
198.0ms
(/ (log (hypot re im)) (log 10))

simplify1.2s

Counts
43 → 42
Calls
43 calls:
Slowest
466.0ms
(/ (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (* (* (log 10) (log 10)) (log 10)))
123.0ms
(* -1 (/ (log (/ -1 re)) (log 10)))
121.0ms
(* -1 (/ (log (/ 1 re)) (log 10)))
62.0ms
(/ (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))) (* (cbrt (log 10)) (cbrt (log 10))))
27.0ms
(/ (sqrt (log (hypot re im))) (* (cbrt (log 10)) (cbrt (log 10))))

prune405.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize40.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ (log (hypot re im)) (sqrt (log 10)))
0.3b
(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
99×times-frac
96×add-sqr-sqrt
59×sqrt-prod
56×*-un-lft-identity
50×add-cube-cbrt
32×associate-*r*
31×pow1
27×log-pow
26×add-exp-log
25×associate-*l*
16×add-cbrt-cube
15×unswap-sqr
9×div-exp
8×prod-exp
7×associate-/r*
5×cbrt-undiv
4×cbrt-unprod associate-/l*
3×div-inv
2×expm1-log1p-u rec-exp 1-exp insert-posit16 log1p-expm1-u add-log-exp
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
2 → 153
Calls
2 calls:
Slowest
41.0ms
(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))
15.0ms
(/ (log (hypot re im)) (sqrt (log 10)))

series542.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
303.0ms
(/ (log (hypot re im)) (sqrt (log 10)))
239.0ms
(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))

simplify7.5s

Counts
175 → 159
Calls
175 calls:
Slowest
492.0ms
(/ (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (* (* (sqrt (log 10)) (sqrt (log 10))) (sqrt (log 10))))
449.0ms
(* (* (* (/ 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)))))
267.0ms
(* (/ (* (* 1 1) 1) (* (* (sqrt (log 10)) (sqrt (log 10))) (sqrt (log 10)))) (/ (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (* (* (sqrt (log 10)) (sqrt (log 10))) (sqrt (log 10)))))
200.0ms
(+ (- 0 (log (sqrt (log 10)))) (log (/ (log (hypot re im)) (sqrt (log 10)))))
199.0ms
(* (/ (* (* 1 1) 1) (* (* (sqrt (log 10)) (sqrt (log 10))) (sqrt (log 10)))) (* (* (/ (log (hypot re im)) (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10)))) (/ (log (hypot re im)) (sqrt (log 10)))))

prune1.8s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 2 expressions with local error:

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

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
76×add-exp-log
46×times-frac
45×add-sqr-sqrt
40×prod-exp
35×*-un-lft-identity
33×add-cube-cbrt
29×associate-*r*
28×add-cbrt-cube
26×associate-*l* sqrt-prod
20×div-exp
16×pow1
12×cbrt-unprod
10×rec-exp 1-exp
7×log-pow
6×cbrt-undiv log-prod
5×unswap-sqr
4×pow-prod-down associate-*l/
3×distribute-rgt-in distribute-lft-in
2×expm1-log1p-u *-commutative insert-posit16 log1p-expm1-u div-inv add-log-exp
1×frac-times associate-*r/ un-div-inv
Counts
2 → 128
Calls
2 calls:
Slowest
54.0ms
(* (* (/ 1 (sqrt (log 10))) (log (hypot re im))) (/ 1 (sqrt (log 10))))
20.0ms
(* (/ 1 (sqrt (log 10))) (log (hypot re im)))

series579.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
333.0ms
(* (/ 1 (sqrt (log 10))) (log (hypot re im)))
247.0ms
(* (* (/ 1 (sqrt (log 10))) (log (hypot re im))) (/ 1 (sqrt (log 10))))

simplify9.3s

Counts
116 → 134
Calls
116 calls:
Slowest
704.0ms
(* (* (* (* (/ 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))) (/ 1 (sqrt (log 10)))) (/ 1 (sqrt (log 10)))))
572.0ms
(+ (+ (log (/ 1 (sqrt (log 10)))) (log (log (hypot re im)))) (log (/ 1 (sqrt (log 10)))))
528.0ms
(* (* (* (* (/ 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)))))
471.0ms
(* (* (* (/ 1 (sqrt (log 10))) (/ 1 (sqrt (log 10)))) (/ 1 (sqrt (log 10)))) (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))))
342.0ms
(* (/ (* (* 1 1) 1) (* (* (sqrt (log 10)) (sqrt (log 10))) (sqrt (log 10)))) (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))))

prune1.6s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize49.0ms

Local error

Found 3 expressions with local error:

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

rewrite298.0ms

Algorithm
rewrite-expression-head
Rules
88×sqrt-prod
67×times-frac
62×add-sqr-sqrt
60×associate-*r*
52×*-un-lft-identity
50×add-cube-cbrt
49×add-exp-log
31×add-cbrt-cube
29×pow1
28×prod-exp
27×associate-*l*
16×cbrt-unprod
13×associate-*l/
10×sqrt-div pow-prod-down log-pow
6×frac-times log-prod div-exp
5×unswap-sqr
4×associate-*r/
3×distribute-rgt-in expm1-log1p-u cbrt-undiv rec-exp distribute-lft-in 1-exp *-commutative insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
3 → 172
Calls
3 calls:
Slowest
226.0ms
(* (* (* (/ 1 (sqrt (log 10))) (log (hypot re im))) (sqrt (/ 1 (sqrt (log 10))))) (sqrt (/ 1 (sqrt (log 10)))))
43.0ms
(* (* (/ 1 (sqrt (log 10))) (log (hypot re im))) (sqrt (/ 1 (sqrt (log 10)))))
23.0ms
(* (/ 1 (sqrt (log 10))) (log (hypot re im)))

series1.2s

Counts
3 → 9
Calls
3 calls:
Slowest
644.0ms
(* (* (/ 1 (sqrt (log 10))) (log (hypot re im))) (sqrt (/ 1 (sqrt (log 10)))))
334.0ms
(* (/ 1 (sqrt (log 10))) (log (hypot re im)))
214.0ms
(* (* (* (/ 1 (sqrt (log 10))) (log (hypot re im))) (sqrt (/ 1 (sqrt (log 10))))) (sqrt (/ 1 (sqrt (log 10)))))

simplify10.6s

Counts
155 → 181
Calls
155 calls:
Slowest
526.0ms
(* -1 (* (pow (/ 1 (pow (log 10) 3)) 1/4) (log (/ 1 re))))
501.0ms
(+ (+ (+ (- 0 (log (sqrt (log 10)))) (log (log (hypot re im)))) (log (sqrt (/ 1 (sqrt (log 10)))))) (log (sqrt (/ 1 (sqrt (log 10))))))
477.0ms
(+ (+ (+ (- (log 1) (log (sqrt (log 10)))) (log (log (hypot re im)))) (log (sqrt (/ 1 (sqrt (log 10)))))) (log (sqrt (/ 1 (sqrt (log 10))))))
469.0ms
(* (* (* (/ 1 (sqrt (log 10))) (/ 1 (sqrt (log 10)))) (/ 1 (sqrt (log 10)))) (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))))
450.0ms
(* (/ (* (* 1 1) 1) (* (* (sqrt (log 10)) (sqrt (log 10))) (sqrt (log 10)))) (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))))

prune2.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes157.0ms

Accuracy

0% (0.3b remaining)

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

bsearch3.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.2s8000×body80valid