Details

Time bar (total: 19.7s)

sample44.0ms

Algorithm
intervals
Results
26.0ms256×body80valid

simplify15.0ms

Counts
1 → 1
Iterations
IterNodes
done14
214
113
010

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

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:
9.0ms
(/ (log (hypot re im)) (log 10))

series204.0ms

Counts
1 → 3
Calls
1 calls:
204.0ms
(/ (log (hypot re im)) (log 10))

simplify2.9s

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

prune208.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.1b

localize24.0ms

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)))

rewrite81.0ms

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:
61.0ms
(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))
14.0ms
(/ (log (hypot re im)) (sqrt (log 10)))

series567.0ms

Counts
2 → 6
Calls
2 calls:
232.0ms
(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))
335.0ms
(/ (log (hypot re im)) (sqrt (log 10)))

simplify2.6s

Counts
159 → 159
Iterations
IterNodes
done5001
33112
21318
1474
0178

prune586.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
76×add-exp-log
46×times-frac
43×add-sqr-sqrt
40×prod-exp
33×*-un-lft-identity
31×add-cube-cbrt
29×associate-*l*
28×add-cbrt-cube
26×associate-*r* sqrt-prod
20×div-exp
16×pow1
12×cbrt-unprod
10×rec-exp 1-exp
7×log-pow
6×cbrt-undiv
5×associate-*r/ unswap-sqr
4×pow-prod-down
3×un-div-inv
2×expm1-log1p-u frac-times *-commutative insert-posit16 log1p-expm1-u div-inv add-log-exp
1×associate-*l/
Counts
2 → 124
Calls
2 calls:
61.0ms
(* (/ 1 (sqrt (log 10))) (* (log (hypot re im)) (/ 1 (sqrt (log 10)))))
28.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10))))

series538.0ms

Counts
2 → 6
Calls
2 calls:
242.0ms
(* (/ 1 (sqrt (log 10))) (* (log (hypot re im)) (/ 1 (sqrt (log 10)))))
295.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10))))

simplify4.0s

Counts
130 → 130
Iterations
IterNodes
done5000
32818
21269
1467
0178

prune466.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

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

rewrite476.0ms

Algorithm
rewrite-expression-head
Rules
88×sqrt-prod
67×times-frac
60×add-sqr-sqrt associate-*l*
50×*-un-lft-identity
49×add-exp-log
48×add-cube-cbrt
31×add-cbrt-cube
29×pow1
28×prod-exp
27×associate-*r*
18×associate-*r/
16×cbrt-unprod
15×sqrt-div
11×frac-times
10×pow-prod-down log-pow
7×un-div-inv
6×div-exp
5×unswap-sqr
4×associate-*l/
3×expm1-log1p-u cbrt-undiv rec-exp 1-exp *-commutative insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
3 → 173
Calls
3 calls:
110.0ms
(* (sqrt (/ 1 (sqrt (log 10)))) (* (log (hypot re im)) (/ 1 (sqrt (log 10)))))
295.0ms
(* (sqrt (/ 1 (sqrt (log 10)))) (* (sqrt (/ 1 (sqrt (log 10)))) (* (log (hypot re im)) (/ 1 (sqrt (log 10))))))
57.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10))))

series1.2s

Counts
3 → 9
Calls
3 calls:
684.0ms
(* (sqrt (/ 1 (sqrt (log 10)))) (* (log (hypot re im)) (/ 1 (sqrt (log 10)))))
220.0ms
(* (sqrt (/ 1 (sqrt (log 10)))) (* (sqrt (/ 1 (sqrt (log 10)))) (* (log (hypot re im)) (/ 1 (sqrt (log 10))))))
295.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10))))

simplify3.5s

Counts
182 → 182
Iterations
IterNodes
done5002
34644
21556
1611
0237

prune904.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes132.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done15
115
011

end0.0ms

sample1.2s

Algorithm
intervals
Results
1.0s8000×body80valid