Details

Time bar (total: 20.2s)

sample33.0ms

Algorithm
intervals
Results
18.0ms256×body80valid

simplify6.0ms

Counts
1 → 1
Iterations
IterNodes
done15
215
113
010

prune16.0ms

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))

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 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)
12.0ms
(/ (log (hypot re im)) (log 10.0))

series336.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(hypot re im)
272.0ms
(/ (log (hypot re im)) (log 10.0))

simplify1.2s

Counts
54 → 54
Iterations
IterNodes
done5000
31348
2328
1134
078

prune386.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b
(hypot re im)
0.2b
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
0.5b
(/ (log (hypot re im)) (sqrt (log 10.0)))

rewrite76.0ms

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)
54.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
8.0ms
(/ (log (hypot re im)) (sqrt (log 10.0)))

series625.0ms

Counts
3 → 9
Calls
3 calls:
79.0ms
(hypot re im)
274.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
271.0ms
(/ (log (hypot re im)) (sqrt (log 10.0)))

simplify2.5s

Counts
170 → 170
Iterations
IterNodes
done5001
22887
1505
0188

prune812.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(hypot re im)
0.2b
(* (/ 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))))

rewrite88.0ms

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)
60.0ms
(* (/ 1 (sqrt (log 10.0))) (* (log (hypot re im)) (/ 1 (sqrt (log 10.0)))))
22.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10.0))))

series572.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(hypot re im)
214.0ms
(* (/ 1 (sqrt (log 10.0))) (* (log (hypot re im)) (/ 1 (sqrt (log 10.0)))))
290.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10.0))))

simplify6.1s

Counts
141 → 141
Iterations
IterNodes
done5000
24074
1533
0188

prune748.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (log (hypot re im)) (/ 1 (sqrt (log 10.0))))
0.4b
(* (* (* (log (hypot re im)) (/ 1 (sqrt (log 10.0)))) (* (log (hypot re im)) (/ 1 (sqrt (log 10.0))))) (* (log (hypot re im)) (/ 1 (sqrt (log 10.0)))))
0.4b
(* (* (log (hypot re im)) (/ 1 (sqrt (log 10.0)))) (* (log (hypot re im)) (/ 1 (sqrt (log 10.0)))))
0.5b
(cbrt (* (* (* (log (hypot re im)) (/ 1 (sqrt (log 10.0)))) (* (log (hypot re im)) (/ 1 (sqrt (log 10.0))))) (* (log (hypot re im)) (/ 1 (sqrt (log 10.0))))))

rewrite907.0ms

Algorithm
rewrite-expression-head
Rules
878×add-exp-log
628×prod-exp
216×add-cbrt-cube
204×pow1
174×div-exp
136×cbrt-unprod
87×rec-exp 1-exp pow-prod-down
79×associate-*r/
61×un-div-inv
60×frac-times
38×pow-prod-up
35×cbrt-undiv
31×add-sqr-sqrt
30×associate-*l/
27×associate-*r*
26×cbrt-div
25×times-frac
21×*-un-lft-identity
19×pow-plus add-cube-cbrt
16×pow-sqr
14×sqrt-prod
6×associate-*l*
5×unswap-sqr
4×pow2 expm1-log1p-u log-pow log1p-expm1-u add-log-exp
3×*-commutative
2×pow3
1×cbrt-prod pow1/3 swap-sqr rem-cbrt-cube div-inv
Counts
4 → 403
Calls
4 calls:
26.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10.0))))
419.0ms
(* (* (* (log (hypot re im)) (/ 1 (sqrt (log 10.0)))) (* (log (hypot re im)) (/ 1 (sqrt (log 10.0))))) (* (log (hypot re im)) (/ 1 (sqrt (log 10.0)))))
66.0ms
(* (* (log (hypot re im)) (/ 1 (sqrt (log 10.0)))) (* (log (hypot re im)) (/ 1 (sqrt (log 10.0)))))
331.0ms
(cbrt (* (* (* (log (hypot re im)) (/ 1 (sqrt (log 10.0)))) (* (log (hypot re im)) (/ 1 (sqrt (log 10.0))))) (* (log (hypot re im)) (/ 1 (sqrt (log 10.0))))))

series1.8s

Counts
4 → 12
Calls
4 calls:
318.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10.0))))
964.0ms
(* (* (* (log (hypot re im)) (/ 1 (sqrt (log 10.0)))) (* (log (hypot re im)) (/ 1 (sqrt (log 10.0))))) (* (log (hypot re im)) (/ 1 (sqrt (log 10.0)))))
220.0ms
(* (* (log (hypot re im)) (/ 1 (sqrt (log 10.0)))) (* (log (hypot re im)) (/ 1 (sqrt (log 10.0)))))
312.0ms
(cbrt (* (* (* (log (hypot re im)) (/ 1 (sqrt (log 10.0)))) (* (log (hypot re im)) (/ 1 (sqrt (log 10.0))))) (* (log (hypot re im)) (/ 1 (sqrt (log 10.0))))))

simplify1.5s

Counts
415 → 415
Iterations
IterNodes
done5000
11564
0410

prune1.1s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes172.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done15
115
011

end0.0ms

sample1.0s

Algorithm
intervals
Results
725.0ms8000×body80valid