Details

Time bar (total: 18.7s)

sample44.0ms

Algorithm
intervals
Results
33.0ms256×body80valid

simplify13.0ms

Counts
1 → 1

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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:
Slowest
13.0ms
(/ (log (hypot re im)) (log 10))
0.0ms
(hypot re im)

series287.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
210.0ms
(/ (log (hypot re im)) (log 10))
77.0ms
(hypot re im)

simplify2.1s

Counts
56 → 56

prune712.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 3 expressions with local error:

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

rewrite50.0ms

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:
Slowest
30.0ms
(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))
13.0ms
(/ (log (hypot re im)) (sqrt (log 10)))
0.0ms
(hypot re im)

series582.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
279.0ms
(/ (log (hypot re im)) (sqrt (log 10)))
234.0ms
(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))
69.0ms
(hypot re im)

simplify1.9s

Counts
173 → 173

prune1.8s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

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

rewrite60.0ms

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:
Slowest
40.0ms
(* (/ 1 (sqrt (log 10))) (* (log (hypot re im)) (/ 1 (sqrt (log 10)))))
17.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10))))
0.0ms
(hypot re im)

series632.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
318.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10))))
249.0ms
(* (/ 1 (sqrt (log 10))) (* (log (hypot re im)) (/ 1 (sqrt (log 10)))))
65.0ms
(hypot re im)

simplify1.9s

Counts
144 → 144

prune1.5s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

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

rewrite220.0ms

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:
Slowest
145.0ms
(* (sqrt (/ 1 (sqrt (log 10)))) (* (sqrt (/ 1 (sqrt (log 10)))) (* (log (hypot re im)) (/ 1 (sqrt (log 10))))))
41.0ms
(* (sqrt (/ 1 (sqrt (log 10)))) (* (log (hypot re im)) (/ 1 (sqrt (log 10)))))
28.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10))))
0.0ms
(hypot re im)

series1.3s

Counts
4 → 12
Calls
4 calls:
Slowest
672.0ms
(* (sqrt (/ 1 (sqrt (log 10)))) (* (log (hypot re im)) (/ 1 (sqrt (log 10)))))
303.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10))))
240.0ms
(* (sqrt (/ 1 (sqrt (log 10)))) (* (sqrt (/ 1 (sqrt (log 10)))) (* (log (hypot re im)) (/ 1 (sqrt (log 10))))))
90.0ms
(hypot re im)

simplify745.0ms

Counts
196 → 196

prune2.6s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes195.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch5.0ms

end1.0ms

sample1.9s

Algorithm
intervals
Results
1.7s8000×body80valid