Details

Time bar (total: 20.5s)

sample25.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify7.0ms

Counts
1 → 1
Iterations
IterNodes
done14
214
113
010

prune28.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize23.0ms

Local error

Found 1 expressions with local error:

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

rewrite14.0ms

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:
12.0ms
(/ (log (hypot re im)) (log 10.0))

series236.0ms

Counts
1 → 3
Calls
1 calls:
236.0ms
(/ (log (hypot re im)) (log 10.0))

simplify4.1s

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

prune239.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.1b

localize35.0ms

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)))

rewrite93.0ms

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:
69.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
13.0ms
(/ (log (hypot re im)) (sqrt (log 10.0)))

series473.0ms

Counts
2 → 6
Calls
2 calls:
197.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
277.0ms
(/ (log (hypot re im)) (sqrt (log 10.0)))

simplify2.5s

Counts
157 → 157
Iterations
IterNodes
done5000
32953
21327
1466
0176

prune774.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 2 expressions with local error:

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

rewrite125.0ms

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 log1p-expm1-u div-inv add-log-exp
1×frac-times associate-*r/ un-div-inv
Counts
2 → 126
Calls
2 calls:
44.0ms
(* (/ 1 (sqrt (log 10.0))) (log (hypot re im)))
72.0ms
(* (* (/ 1 (sqrt (log 10.0))) (log (hypot re im))) (/ 1 (sqrt (log 10.0))))

series557.0ms

Counts
2 → 6
Calls
2 calls:
319.0ms
(* (/ 1 (sqrt (log 10.0))) (log (hypot re im)))
238.0ms
(* (* (/ 1 (sqrt (log 10.0))) (log (hypot re im))) (/ 1 (sqrt (log 10.0))))

simplify4.3s

Counts
132 → 132
Iterations
IterNodes
done5000
32729
21290
1522
0191

prune653.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 3 expressions with local error:

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

rewrite406.0ms

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 log1p-expm1-u div-inv add-log-exp
Counts
3 → 169
Calls
3 calls:
21.0ms
(* (/ 1 (sqrt (log 10.0))) (log (hypot re im)))
81.0ms
(* (* (/ 1 (sqrt (log 10.0))) (log (hypot re im))) (sqrt (/ 1 (sqrt (log 10.0)))))
297.0ms
(* (* (* (/ 1 (sqrt (log 10.0))) (log (hypot re im))) (sqrt (/ 1 (sqrt (log 10.0))))) (sqrt (/ 1 (sqrt (log 10.0)))))

series1.2s

Counts
3 → 9
Calls
3 calls:
284.0ms
(* (/ 1 (sqrt (log 10.0))) (log (hypot re im)))
657.0ms
(* (* (/ 1 (sqrt (log 10.0))) (log (hypot re im))) (sqrt (/ 1 (sqrt (log 10.0)))))
219.0ms
(* (* (* (/ 1 (sqrt (log 10.0))) (log (hypot re im))) (sqrt (/ 1 (sqrt (log 10.0))))) (sqrt (/ 1 (sqrt (log 10.0)))))

simplify2.7s

Counts
178 → 178
Iterations
IterNodes
done5002
21906
1672
0257

prune951.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes166.0ms

Accuracy

0% (0.4b 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

sample890.0ms

Algorithm
intervals
Results
680.0ms8000×body80valid