Details

Time bar (total: 20.6s)

sample32.0ms

Algorithm
intervals
Results
18.0ms256×body80valid

simplify13.0ms

Counts
1 → 1
Iterations
IterNodes
done14
214
113
010

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize11.0ms

Local error

Found 1 expressions with local error:

0.6b
(/ (log (hypot re im)) (log 10.0))

rewrite16.0ms

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 log1p-expm1-u div-inv add-log-exp
Counts
1 → 38
Calls
1 calls:
14.0ms
(/ (log (hypot re im)) (log 10.0))

series231.0ms

Counts
1 → 3
Calls
1 calls:
231.0ms
(/ (log (hypot re im)) (log 10.0))

simplify3.9s

Counts
41 → 41
Iterations
IterNodes
done5002
54863
41893
3678
2280
1117
066

prune292.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
0.4b
(/ (log (hypot re im)) (sqrt (log 10.0)))

rewrite80.0ms

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 log1p-expm1-u add-log-exp
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
2 → 151
Calls
2 calls:
59.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
8.0ms
(/ (log (hypot re im)) (sqrt (log 10.0)))

series551.0ms

Counts
2 → 6
Calls
2 calls:
236.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
315.0ms
(/ (log (hypot re im)) (sqrt (log 10.0)))

simplify2.4s

Counts
157 → 157
Iterations
IterNodes
done5000
32953
21327
1466
0176

prune692.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0b

localize35.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (/ 1 (sqrt (log 10.0))) (* (log (hypot re im)) (/ 1 (sqrt (log 10.0)))))
0.3b
(* (log (hypot re im)) (/ 1 (sqrt (log 10.0))))

rewrite90.0ms

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 log1p-expm1-u div-inv add-log-exp
1×associate-*l/
Counts
2 → 122
Calls
2 calls:
63.0ms
(* (/ 1 (sqrt (log 10.0))) (* (log (hypot re im)) (/ 1 (sqrt (log 10.0)))))
21.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10.0))))

series519.0ms

Counts
2 → 6
Calls
2 calls:
237.0ms
(* (/ 1 (sqrt (log 10.0))) (* (log (hypot re im)) (/ 1 (sqrt (log 10.0)))))
282.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10.0))))

simplify4.5s

Counts
128 → 128
Iterations
IterNodes
done5000
32669
21234
1465
0176

prune609.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (/ 1 (sqrt (log 10.0))) (* (* (log (hypot re im)) (sqrt (/ 1 (sqrt (log 10.0))))) (sqrt (/ 1 (sqrt (log 10.0))))))
0.3b
(* (* (log (hypot re im)) (sqrt (/ 1 (sqrt (log 10.0))))) (sqrt (/ 1 (sqrt (log 10.0)))))
0.3b
(* (log (hypot re im)) (sqrt (/ 1 (sqrt (log 10.0)))))

rewrite404.0ms

Algorithm
rewrite-expression-head
Rules
93×sqrt-prod
67×times-frac
62×add-sqr-sqrt
57×associate-*r*
50×*-un-lft-identity
49×add-exp-log
48×add-cube-cbrt
31×add-cbrt-cube
30×associate-*l*
29×pow1
28×prod-exp
16×cbrt-unprod
13×sqrt-div associate-*r/
10×pow-prod-down log-pow
6×frac-times div-exp unswap-sqr
4×associate-*l/
3×expm1-log1p-u cbrt-undiv rec-exp 1-exp *-commutative log1p-expm1-u div-inv add-log-exp
Counts
3 → 164
Calls
3 calls:
240.0ms
(* (/ 1 (sqrt (log 10.0))) (* (* (log (hypot re im)) (sqrt (/ 1 (sqrt (log 10.0))))) (sqrt (/ 1 (sqrt (log 10.0))))))
119.0ms
(* (* (log (hypot re im)) (sqrt (/ 1 (sqrt (log 10.0))))) (sqrt (/ 1 (sqrt (log 10.0)))))
38.0ms
(* (log (hypot re im)) (sqrt (/ 1 (sqrt (log 10.0)))))

series1.0s

Counts
3 → 9
Calls
3 calls:
213.0ms
(* (/ 1 (sqrt (log 10.0))) (* (* (log (hypot re im)) (sqrt (/ 1 (sqrt (log 10.0))))) (sqrt (/ 1 (sqrt (log 10.0))))))
350.0ms
(* (* (log (hypot re im)) (sqrt (/ 1 (sqrt (log 10.0))))) (sqrt (/ 1 (sqrt (log 10.0)))))
470.0ms
(* (log (hypot re im)) (sqrt (/ 1 (sqrt (log 10.0)))))

simplify2.7s

Counts
173 → 173
Iterations
IterNodes
done5000
21683
1626
0237

prune928.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

regimes234.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done15
115
011

end0.0ms

sample1.3s

Algorithm
intervals
Results
1.0s8000×body80valid