Details

Time bar (total: 19.6s)

sample53.0ms

Algorithm
intervals
Results
39.0ms256×body80valid

simplify15.0ms

Counts
1 → 1
Iterations
IterNodes
done14
214
113
010

prune16.0ms

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))

rewrite15.0ms

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:
14.0ms
(/ (log (hypot re im)) (log 10))

series259.0ms

Counts
1 → 3
Calls
1 calls:
259.0ms
(/ (log (hypot re im)) (log 10))

simplify2.9s

Counts
42 → 42
Iterations
IterNodes
done5000
41903
3686
2283
1118
067

prune216.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize38.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

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:
24.0ms
(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))
11.0ms
(/ (log (hypot re im)) (sqrt (log 10)))

series510.0ms

Counts
2 → 6
Calls
2 calls:
204.0ms
(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))
306.0ms
(/ (log (hypot re im)) (sqrt (log 10)))

simplify2.6s

Counts
159 → 159
Iterations
IterNodes
done5001
33112
21318
1474
0178

prune671.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 2 expressions with local error:

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

rewrite61.0ms

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:
18.0ms
(* (/ 1 (sqrt (log 10))) (log (hypot re im)))
40.0ms
(* (* (/ 1 (sqrt (log 10))) (log (hypot re im))) (/ 1 (sqrt (log 10))))

series528.0ms

Counts
2 → 6
Calls
2 calls:
327.0ms
(* (/ 1 (sqrt (log 10))) (log (hypot re im)))
201.0ms
(* (* (/ 1 (sqrt (log 10))) (log (hypot re im))) (/ 1 (sqrt (log 10))))

simplify4.2s

Counts
134 → 134
Iterations
IterNodes
done5001
32679
21306
1524
0193

prune530.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 3 expressions with local error:

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

rewrite348.0ms

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:
84.0ms
(* (* (/ 1 (sqrt (log 10))) (log (hypot re im))) (sqrt (/ 1 (sqrt (log 10)))))
29.0ms
(* (/ 1 (sqrt (log 10))) (log (hypot re im)))
228.0ms
(* (* (* (/ 1 (sqrt (log 10))) (log (hypot re im))) (sqrt (/ 1 (sqrt (log 10))))) (sqrt (/ 1 (sqrt (log 10)))))

series1.3s

Counts
3 → 9
Calls
3 calls:
746.0ms
(* (* (/ 1 (sqrt (log 10))) (log (hypot re im))) (sqrt (/ 1 (sqrt (log 10)))))
320.0ms
(* (/ 1 (sqrt (log 10))) (log (hypot re im)))
266.0ms
(* (* (* (/ 1 (sqrt (log 10))) (log (hypot re im))) (sqrt (/ 1 (sqrt (log 10))))) (sqrt (/ 1 (sqrt (log 10)))))

simplify2.7s

Counts
181 → 181
Iterations
IterNodes
done5001
21822
1675
0260

prune866.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes182.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done15
115
011

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.2s8000×body80valid