Details

Time bar (total: 14.5s)

sample41.0ms

Algorithm
intervals
Results
31.0ms256×body80valid

simplify7.0ms

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

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b
(hypot re im)
0.6b
(/ (log (hypot re im)) (log 10))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
16×times-frac
12×add-sqr-sqrt pow1 *-un-lft-identity add-cube-cbrt
10×log-pow
4×associate-/r* add-cbrt-cube add-exp-log associate-/l*
2×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
1×cbrt-undiv hypot-udef clear-num frac-2neg div-exp div-inv
Counts
2 → 50
Calls
2 calls:
0.0ms
(hypot re im)
14.0ms
(/ (log (hypot re im)) (log 10))

series264.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(hypot re im)
206.0ms
(/ (log (hypot re im)) (log 10))

simplify1.4s

Counts
56 → 56
Iterations
IterNodes
done2457
52457
41756
3682
2303
1136
080

prune662.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(hypot re im)
0.3b
(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))
0.4b
(/ (log (hypot re im)) (sqrt (log 10)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
99×times-frac
97×add-sqr-sqrt
59×sqrt-prod
57×*-un-lft-identity
51×add-cube-cbrt
32×pow1 associate-*r*
27×add-exp-log log-pow
25×associate-*l*
17×add-cbrt-cube
15×unswap-sqr
9×div-exp
8×prod-exp
7×associate-/r*
5×cbrt-undiv
4×cbrt-unprod associate-/l*
3×expm1-log1p-u insert-posit16 log1p-expm1-u div-inv add-log-exp
2×rec-exp 1-exp
1×frac-times hypot-udef clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
3 → 164
Calls
3 calls:
0.0ms
(hypot re im)
38.0ms
(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))
7.0ms
(/ (log (hypot re im)) (sqrt (log 10)))

series605.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(hypot re im)
218.0ms
(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))
320.0ms
(/ (log (hypot re im)) (sqrt (log 10)))

simplify1.3s

Counts
173 → 173
Iterations
IterNodes
done2006
32006
21292
1494
0191

prune1.7s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(hypot re im)
0.3b
(* (/ 1 (sqrt (log 10))) (log (hypot re im)))
0.3b
(* (* (/ 1 (sqrt (log 10))) (log (hypot re im))) (/ 1 (sqrt (log 10))))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
77×add-exp-log
46×add-sqr-sqrt times-frac
40×prod-exp
36×*-un-lft-identity
34×add-cube-cbrt
29×add-cbrt-cube associate-*r*
26×associate-*l* sqrt-prod
20×div-exp
17×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 expm1-log1p-u distribute-lft-in insert-posit16 log1p-expm1-u add-log-exp
2×*-commutative div-inv
1×frac-times hypot-udef associate-*r/ un-div-inv
Counts
3 → 139
Calls
3 calls:
0.0ms
(hypot re im)
30.0ms
(* (/ 1 (sqrt (log 10))) (log (hypot re im)))
84.0ms
(* (* (/ 1 (sqrt (log 10))) (log (hypot re im))) (/ 1 (sqrt (log 10))))

series587.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(hypot re im)
297.0ms
(* (/ 1 (sqrt (log 10))) (log (hypot re im)))
226.0ms
(* (* (/ 1 (sqrt (log 10))) (log (hypot re im))) (/ 1 (sqrt (log 10))))

simplify1.3s

Counts
148 → 148
Iterations
IterNodes
done2001
32001
21311
1539
0203

prune1.7s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize81.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (hypot re im)) (cbrt (hypot re im)))
0.5b
(cbrt (hypot re im))
0.5b
(cbrt (hypot re im))
0.5b
(cbrt (hypot re im))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 85
Calls
4 calls:
16.0ms
(* (cbrt (hypot re im)) (cbrt (hypot re im)))
1.0ms
(cbrt (hypot re im))
1.0ms
(cbrt (hypot re im))
2.0ms
(cbrt (hypot re im))

series655.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(* (cbrt (hypot re im)) (cbrt (hypot re im)))
167.0ms
(cbrt (hypot re im))
138.0ms
(cbrt (hypot re im))
176.0ms
(cbrt (hypot re im))

simplify1.0s

Counts
97 → 97
Iterations
IterNodes
done2047
42047
31079
2417
1168
080

prune1.4s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

regimes195.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done15
115
011

end0.0ms

sample1.3s

Algorithm
intervals
Results
1.1s8000×body80valid