Details

Time bar (total: 13.6s)

sample20.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01012
1137
2157
done157

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize8.0ms

Local error

Found 1 expressions with local error:

0.5b
(/ (log (hypot re im)) (log 10.0))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
16×times-frac
11×pow1 add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×log-pow
4×associate-/r* associate-/l*
3×add-exp-log add-cbrt-cube
1×cbrt-undiv expm1-log1p-u frac-2neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 38
Calls
1 calls:
3.0ms
(/ (log (hypot re im)) (log 10.0))

series148.0ms

Counts
1 → 3
Calls
1 calls:
148.0ms
(/ (log (hypot re im)) (log 10.0))

simplify2.7s

Counts
41 → 41
Iterations

Useful iterations: 3 (95.0ms)

IterNodesCost
066496
1112472
2220444
3476442
4970442
51680442
63153442
done5000442

prune109.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
0.4b
(/ (log (hypot re im)) (sqrt (log 10.0)))

rewrite50.0ms

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 frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 151
Calls
2 calls:
38.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
5.0ms
(/ (log (hypot re im)) (sqrt (log 10.0)))

series381.0ms

Counts
2 → 6
Calls
2 calls:
155.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
225.0ms
(/ (log (hypot re im)) (sqrt (log 10.0)))

simplify3.3s

Counts
157 → 157
Iterations

Useful iterations: 3 (2.6s)

IterNodesCost
01762772
14442451
212102062
342772058
done50002058

prune302.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

0.5b
(/ (log (hypot re im)) (log 10.0))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
16×times-frac
11×pow1 add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×log-pow
4×associate-/r* associate-/l*
3×add-exp-log add-cbrt-cube
1×cbrt-undiv expm1-log1p-u frac-2neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 38
Calls
1 calls:
4.0ms
(/ (log (hypot re im)) (log 10.0))

series148.0ms

Counts
1 → 3
Calls
1 calls:
147.0ms
(/ (log (hypot re im)) (log 10.0))

simplify2.8s

Counts
41 → 41
Iterations

Useful iterations: 3 (94.0ms)

IterNodesCost
066496
1112472
2220444
3476442
4970442
51680442
63153442
done5000442

prune127.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ 1 (sqrt (log 10.0))) (cbrt (pow (/ (log (hypot re im)) (sqrt (log 10.0))) 3)))
0.4b
(/ (log (hypot re im)) (sqrt (log 10.0)))
0.5b
(cbrt (pow (/ (log (hypot re im)) (sqrt (log 10.0))) 3))
0.7b
(pow (/ (log (hypot re im)) (sqrt (log 10.0))) 3)

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
273×times-frac
259×add-sqr-sqrt
180×cbrt-prod
156×sqrt-prod
154×*-un-lft-identity
136×add-cube-cbrt
111×unpow-prod-down cube-prod
89×pow1
82×log-pow
73×associate-*r*
45×unswap-sqr
25×associate-*l*
18×add-exp-log
12×add-cbrt-cube
8×div-inv sqr-pow
7×associate-/r*
4×cube-div expm1-log1p-u div-exp prod-exp log1p-expm1-u associate-/l* add-log-exp
3×cbrt-undiv cube-mult pow-unpow cbrt-div unpow3
2×pow-exp cbrt-unprod rem-cube-cbrt
1×frac-times pow-to-exp rec-exp pow-pow frac-2neg pow1/3 1-exp associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative rem-cbrt-cube
Counts
4 → 384
Calls
4 calls:
79.0ms
(* (/ 1 (sqrt (log 10.0))) (cbrt (pow (/ (log (hypot re im)) (sqrt (log 10.0))) 3)))
7.0ms
(/ (log (hypot re im)) (sqrt (log 10.0)))
9.0ms
(cbrt (pow (/ (log (hypot re im)) (sqrt (log 10.0))) 3))
8.0ms
(pow (/ (log (hypot re im)) (sqrt (log 10.0))) 3)

series967.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(* (/ 1 (sqrt (log 10.0))) (cbrt (pow (/ (log (hypot re im)) (sqrt (log 10.0))) 3)))
226.0ms
(/ (log (hypot re im)) (sqrt (log 10.0)))
224.0ms
(cbrt (pow (/ (log (hypot re im)) (sqrt (log 10.0))) 3))
366.0ms
(pow (/ (log (hypot re im)) (sqrt (log 10.0))) 3)

simplify1.1s

Counts
396 → 396
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02998534
17636830
224405984
done50005966

prune605.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0b

regimes109.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01113
11413
done1413

end0.0ms

sample503.0ms

Algorithm
intervals
Results
358.0ms8000×body80valid