Details

Time bar (total: 21.3s)

sample43.0ms

Algorithm
intervals
Results
22.0ms256×body80valid

simplify12.0ms

Counts
1 → 1
Iterations
IterNodes
done15
215
113
010

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b
(hypot re im)
0.6b
(/ (log (hypot re im)) (log 10.0))

rewrite17.0ms

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 log1p-expm1-u add-log-exp
1×cbrt-undiv hypot-udef clear-num frac-2neg div-exp div-inv
Counts
2 → 48
Calls
2 calls:
0.0ms
(hypot re im)
14.0ms
(/ (log (hypot re im)) (log 10.0))

series309.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(hypot re im)
238.0ms
(/ (log (hypot re im)) (log 10.0))

simplify1.4s

Counts
54 → 54
Iterations
IterNodes
done5000
31348
2328
1134
078

prune304.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b
(hypot re im)
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)))

rewrite108.0ms

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 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 → 161
Calls
3 calls:
0.0ms
(hypot re im)
81.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
14.0ms
(/ (log (hypot re im)) (sqrt (log 10.0)))

series545.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(hypot re im)
171.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
311.0ms
(/ (log (hypot re im)) (sqrt (log 10.0)))

simplify2.7s

Counts
170 → 170
Iterations
IterNodes
done5001
22887
1505
0188

prune846.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b
(hypot re im)
0.3b
(* (/ 1 (sqrt (log 10.0))) (* (log (hypot re im)) (/ 1 (sqrt (log 10.0)))))
0.3b
(* (log (hypot re im)) (/ 1 (sqrt (log 10.0))))

rewrite87.0ms

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 log1p-expm1-u add-log-exp
2×frac-times *-commutative div-inv
1×hypot-udef associate-*l/
Counts
3 → 132
Calls
3 calls:
0.0ms
(hypot re im)
61.0ms
(* (/ 1 (sqrt (log 10.0))) (* (log (hypot re im)) (/ 1 (sqrt (log 10.0)))))
21.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10.0))))

series581.0ms

Counts
3 → 9
Calls
3 calls:
85.0ms
(hypot re im)
198.0ms
(* (/ 1 (sqrt (log 10.0))) (* (log (hypot re im)) (/ 1 (sqrt (log 10.0)))))
297.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10.0))))

simplify5.7s

Counts
141 → 141
Iterations
IterNodes
done5000
24074
1533
0188

prune657.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(hypot re im)
0.3b
(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (log (hypot re im)) (/ 1 (sqrt (log 10.0)))))
0.3b
(* (log (hypot re im)) (/ 1 (sqrt (log 10.0))))
0.3b
(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (sqrt (/ 1 (sqrt (log 10.0)))) (* (log (hypot re im)) (/ 1 (sqrt (log 10.0))))))

rewrite271.0ms

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/ log1p-expm1-u add-log-exp
3×cbrt-undiv rec-exp 1-exp *-commutative div-inv
1×hypot-udef
Counts
4 → 180
Calls
4 calls:
0.0ms
(hypot re im)
60.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (log (hypot re im)) (/ 1 (sqrt (log 10.0)))))
20.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10.0))))
184.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (sqrt (/ 1 (sqrt (log 10.0)))) (* (log (hypot re im)) (/ 1 (sqrt (log 10.0))))))

series1.2s

Counts
4 → 12
Calls
4 calls:
55.0ms
(hypot re im)
598.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (log (hypot re im)) (/ 1 (sqrt (log 10.0)))))
266.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10.0))))
241.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (sqrt (/ 1 (sqrt (log 10.0)))) (* (log (hypot re im)) (/ 1 (sqrt (log 10.0))))))

simplify4.2s

Counts
192 → 192
Iterations
IterNodes
done5000
23640
1638
0246

prune993.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

regimes170.0ms

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

sample1.1s

Algorithm
intervals
Results
748.0ms8000×body80valid