Details

Time bar (total: 11.4s)

sample41.0ms

Algorithm
intervals
Results
30.0ms256×body80valid

simplify8.0ms

Counts
1 → 1
Iterations
IterNodes
done14
214
113
010

prune25.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize28.0ms

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)
13.0ms
(/ (log (hypot re im)) (log 10))

series286.0ms

Counts
2 → 6
Calls
2 calls:
82.0ms
(hypot re im)
204.0ms
(/ (log (hypot re im)) (log 10))

simplify973.0ms

Counts
56 → 56
Iterations
IterNodes
done2025
41756
3682
2303
1136
080

prune283.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b
(hypot re im)
0.2b
(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))
0.5b
(/ (log (hypot re im)) (sqrt (log 10)))

rewrite42.0ms

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)
31.0ms
(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))
7.0ms
(/ (log (hypot re im)) (sqrt (log 10)))

series612.0ms

Counts
3 → 9
Calls
3 calls:
79.0ms
(hypot re im)
219.0ms
(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))
314.0ms
(/ (log (hypot re im)) (sqrt (log 10)))

simplify938.0ms

Counts
173 → 173
Iterations
IterNodes
done2000
21292
1494
0191

prune700.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 3 expressions with local error:

0.0b
(hypot re im)
0.2b
(* (/ 1 (sqrt (log 10))) (* (log (hypot re im)) (/ 1 (sqrt (log 10)))))
0.3b
(* (log (hypot re im)) (/ 1 (sqrt (log 10))))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
77×add-exp-log
46×times-frac
44×add-sqr-sqrt
40×prod-exp
34×*-un-lft-identity
32×add-cube-cbrt
29×add-cbrt-cube associate-*l*
26×associate-*r* sqrt-prod
20×div-exp
17×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×expm1-log1p-u un-div-inv insert-posit16 log1p-expm1-u add-log-exp
2×frac-times *-commutative div-inv
1×hypot-udef associate-*l/
Counts
3 → 135
Calls
3 calls:
0.0ms
(hypot re im)
47.0ms
(* (/ 1 (sqrt (log 10))) (* (log (hypot re im)) (/ 1 (sqrt (log 10)))))
28.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10))))

series587.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(hypot re im)
201.0ms
(* (/ 1 (sqrt (log 10))) (* (log (hypot re im)) (/ 1 (sqrt (log 10)))))
313.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10))))

simplify868.0ms

Counts
144 → 144
Iterations
IterNodes
done2003
21150
1493
0191

prune520.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite632.0ms

Algorithm
rewrite-expression-head
Rules
88×sqrt-prod
67×times-frac
61×add-sqr-sqrt
60×associate-*l*
51×*-un-lft-identity
50×add-exp-log
49×add-cube-cbrt
32×add-cbrt-cube
30×pow1
28×prod-exp
27×associate-*r*
18×associate-*r/
16×cbrt-unprod
15×sqrt-div
11×frac-times
10×pow-prod-down log-pow
7×un-div-inv
6×div-exp
5×unswap-sqr
4×expm1-log1p-u associate-*l/ insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-undiv rec-exp 1-exp *-commutative div-inv
1×hypot-udef
Counts
4 → 184
Calls
4 calls:
0.0ms
(hypot re im)
552.0ms
(* (sqrt (/ 1 (sqrt (log 10)))) (* (sqrt (/ 1 (sqrt (log 10)))) (* (log (hypot re im)) (/ 1 (sqrt (log 10))))))
62.0ms
(* (sqrt (/ 1 (sqrt (log 10)))) (* (log (hypot re im)) (/ 1 (sqrt (log 10)))))
13.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10))))

series1.3s

Counts
4 → 12
Calls
4 calls:
82.0ms
(hypot re im)
251.0ms
(* (sqrt (/ 1 (sqrt (log 10)))) (* (sqrt (/ 1 (sqrt (log 10)))) (* (log (hypot re im)) (/ 1 (sqrt (log 10))))))
699.0ms
(* (sqrt (/ 1 (sqrt (log 10)))) (* (log (hypot re im)) (/ 1 (sqrt (log 10)))))
301.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10))))

simplify976.0ms

Counts
196 → 196
Iterations
IterNodes
done2000
21576
1632
0250

prune836.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes142.0ms

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

sample1.4s

Algorithm
intervals
Results
1.2s8000×body80valid