Details

Time bar (total: 19.1s)

sample34.0ms

Algorithm
intervals
Results
20.0ms256×body80valid

simplify6.0ms

Counts
1 → 1
Iterations
IterNodes
done15
215
113
010

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize26.0ms

Local error

Found 1 expressions with local error:

0.7b
(/ (log (hypot re im)) (log 10.0))

rewrite18.0ms

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:
15.0ms
(/ (log (hypot re im)) (log 10.0))

series253.0ms

Counts
1 → 3
Calls
1 calls:
253.0ms
(/ (log (hypot re im)) (log 10.0))

simplify1.2s

Counts
41 → 41
Iterations
IterNodes
done5000
31338
2309
1117
066

prune278.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
0.5b
(/ (log (hypot re im)) (sqrt (log 10.0)))

rewrite71.0ms

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:
52.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
12.0ms
(/ (log (hypot re im)) (sqrt (log 10.0)))

series566.0ms

Counts
2 → 6
Calls
2 calls:
238.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
327.0ms
(/ (log (hypot re im)) (sqrt (log 10.0)))

simplify2.7s

Counts
157 → 157
Iterations
IterNodes
done5000
22867
1488
0176

prune749.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 2 expressions with local error:

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

rewrite113.0ms

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:
37.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10.0))))
65.0ms
(* (/ 1 (sqrt (log 10.0))) (* (log (hypot re im)) (/ 1 (sqrt (log 10.0)))))

series543.0ms

Counts
2 → 6
Calls
2 calls:
350.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10.0))))
192.0ms
(* (/ 1 (sqrt (log 10.0))) (* (log (hypot re im)) (/ 1 (sqrt (log 10.0)))))

simplify4.7s

Counts
128 → 128
Iterations
IterNodes
done5000
23758
1519
0176

prune711.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* (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)))))
0.3b
(* (/ 1 (sqrt (log 10.0))) (* (* (log (hypot re im)) (sqrt (/ 1 (sqrt (log 10.0))))) (sqrt (/ 1 (sqrt (log 10.0))))))

rewrite397.0ms

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:
73.0ms
(* (* (log (hypot re im)) (sqrt (/ 1 (sqrt (log 10.0))))) (sqrt (/ 1 (sqrt (log 10.0)))))
23.0ms
(* (log (hypot re im)) (sqrt (/ 1 (sqrt (log 10.0)))))
287.0ms
(* (/ 1 (sqrt (log 10.0))) (* (* (log (hypot re im)) (sqrt (/ 1 (sqrt (log 10.0))))) (sqrt (/ 1 (sqrt (log 10.0))))))

series1.4s

Counts
3 → 9
Calls
3 calls:
315.0ms
(* (* (log (hypot re im)) (sqrt (/ 1 (sqrt (log 10.0))))) (sqrt (/ 1 (sqrt (log 10.0)))))
882.0ms
(* (log (hypot re im)) (sqrt (/ 1 (sqrt (log 10.0)))))
211.0ms
(* (/ 1 (sqrt (log 10.0))) (* (* (log (hypot re im)) (sqrt (/ 1 (sqrt (log 10.0))))) (sqrt (/ 1 (sqrt (log 10.0))))))

simplify3.5s

Counts
173 → 173
Iterations
IterNodes
done5001
23967
1642
0237

prune776.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes171.0ms

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

sample770.0ms

Algorithm
intervals
Results
603.0ms8000×body80valid