Details

Time bar (total: 19.9s)

sample37.0ms

Algorithm
intervals
Results
25.0ms256×body80valid

simplify14.0ms

Counts
1 → 1
Iterations
IterNodes
314
214
113
010

prune21.0ms

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))

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))

series253.0ms

Counts
1 → 3
Calls
1 calls:
253.0ms
(/ (log (hypot re im)) (log 10))

simplify3.8s

Counts
42 → 42
Iterations
IterNodes
55076
41853
3664
2281
1118
067

prune482.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.1b

localize40.0ms

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)))

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:
47.0ms
(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))
14.0ms
(/ (log (hypot re im)) (sqrt (log 10)))

series547.0ms

Counts
2 → 6
Calls
2 calls:
191.0ms
(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))
356.0ms
(/ (log (hypot re im)) (sqrt (log 10)))

simplify1.8s

Counts
159 → 159
Iterations
IterNodes
33077
21308
1472
0178

prune1.7s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

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)))))

rewrite56.0ms

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:
14.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10))))
40.0ms
(* (/ 1 (sqrt (log 10))) (* (log (hypot re im)) (/ 1 (sqrt (log 10)))))

series527.0ms

Counts
2 → 6
Calls
2 calls:
302.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10))))
225.0ms
(* (/ 1 (sqrt (log 10))) (* (log (hypot re im)) (/ 1 (sqrt (log 10)))))

simplify1.1s

Counts
130 → 130
Iterations
IterNodes
32449
21169
1451
0178

prune1.3s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 3 expressions with local error:

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

rewrite298.0ms

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 insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
3 → 167
Calls
3 calls:
28.0ms
(* (log (hypot re im)) (sqrt (/ 1 (sqrt (log 10)))))
60.0ms
(* (* (log (hypot re im)) (sqrt (/ 1 (sqrt (log 10))))) (sqrt (/ 1 (sqrt (log 10)))))
204.0ms
(* (/ 1 (sqrt (log 10))) (* (* (log (hypot re im)) (sqrt (/ 1 (sqrt (log 10))))) (sqrt (/ 1 (sqrt (log 10))))))

series1.1s

Counts
3 → 9
Calls
3 calls:
491.0ms
(* (log (hypot re im)) (sqrt (/ 1 (sqrt (log 10)))))
396.0ms
(* (* (log (hypot re im)) (sqrt (/ 1 (sqrt (log 10))))) (sqrt (/ 1 (sqrt (log 10)))))
242.0ms
(* (/ 1 (sqrt (log 10))) (* (* (log (hypot re im)) (sqrt (/ 1 (sqrt (log 10))))) (sqrt (/ 1 (sqrt (log 10))))))

simplify2.6s

Counts
176 → 176
Iterations
IterNodes
35268
21710
1624
0240

prune2.3s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes165.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
218
118
013

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.2s8000×body80valid