Details

Time bar (total: 12.6s)

sample22.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify2.0ms

Counts
1 → 1
Iterations
IterNodes
done6
06

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize17.0ms

Local error

Found 1 expressions with local error:

0.9b
(/ (atan2 im re) (log 10))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
12×times-frac
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
5×pow1
4×associate-/r* log-pow
3×add-cbrt-cube add-exp-log associate-/l*
1×expm1-log1p-u cbrt-undiv clear-num frac-2neg div-exp insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
5.0ms
(/ (atan2 im re) (log 10))

series76.0ms

Counts
1 → 3
Calls
1 calls:
76.0ms
(/ (atan2 im re) (log 10))

simplify1.2s

Counts
37 → 37
Iterations
IterNodes
done2079
52079
41620
3590
2237
192
055

prune340.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.4b
(log1p (expm1 (/ (atan2 im re) (log 10))))
0.6b
(expm1 (/ (atan2 im re) (log 10)))
0.9b
(/ (atan2 im re) (log 10))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
7×pow1
5×add-cbrt-cube add-exp-log
4×associate-/r* log-pow log1p-expm1-u
3×expm1-log1p-u insert-posit16 associate-/l* add-log-exp
1×cbrt-undiv log1p-udef expm1-log1p clear-num frac-2neg div-exp log1p-expm1 div-inv expm1-udef
Counts
3 → 58
Calls
3 calls:
0.0ms
(log1p (expm1 (/ (atan2 im re) (log 10))))
0.0ms
(expm1 (/ (atan2 im re) (log 10)))
5.0ms
(/ (atan2 im re) (log 10))

series318.0ms

Counts
3 → 9
Calls
3 calls:
124.0ms
(log1p (expm1 (/ (atan2 im re) (log 10))))
129.0ms
(expm1 (/ (atan2 im re) (log 10)))
64.0ms
(/ (atan2 im re) (log 10))

simplify1.1s

Counts
67 → 67
Iterations
IterNodes
done2086
52086
41709
3621
2285
1120
077

prune684.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (atan2 im re) (sqrt (log 10)))
0.4b
(log1p (expm1 (* (/ 1 (sqrt (log 10))) (/ (atan2 im re) (sqrt (log 10))))))
0.6b
(expm1 (* (/ 1 (sqrt (log 10))) (/ (atan2 im re) (sqrt (log 10)))))
0.8b
(* (/ 1 (sqrt (log 10))) (/ (atan2 im re) (sqrt (log 10))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
94×add-sqr-sqrt
85×times-frac
54×*-un-lft-identity
51×sqrt-prod
48×add-cube-cbrt
28×add-exp-log
25×associate-*r* associate-*l*
18×add-cbrt-cube
16×pow1
15×unswap-sqr
10×log-pow
9×div-exp
8×prod-exp
7×associate-/r*
5×cbrt-undiv log1p-expm1-u
4×expm1-log1p-u cbrt-unprod insert-posit16 add-log-exp
3×div-inv associate-/l*
2×rec-exp 1-exp
1×frac-times log1p-udef expm1-log1p clear-num frac-2neg pow-prod-down associate-*l/ log1p-expm1 associate-*r/ *-commutative expm1-udef
Counts
4 → 162
Calls
4 calls:
10.0ms
(/ (atan2 im re) (sqrt (log 10)))
0.0ms
(log1p (expm1 (* (/ 1 (sqrt (log 10))) (/ (atan2 im re) (sqrt (log 10))))))
1.0ms
(expm1 (* (/ 1 (sqrt (log 10))) (/ (atan2 im re) (sqrt (log 10)))))
32.0ms
(* (/ 1 (sqrt (log 10))) (/ (atan2 im re) (sqrt (log 10))))

series540.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(/ (atan2 im re) (sqrt (log 10)))
152.0ms
(log1p (expm1 (* (/ 1 (sqrt (log 10))) (/ (atan2 im re) (sqrt (log 10))))))
120.0ms
(expm1 (* (/ 1 (sqrt (log 10))) (/ (atan2 im re) (sqrt (log 10)))))
86.0ms
(* (/ 1 (sqrt (log 10))) (/ (atan2 im re) (sqrt (log 10))))

simplify1.1s

Counts
174 → 174
Iterations
IterNodes
done2004
32004
21358
1474
0186

prune2.1s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 1 (sqrt (log 10))) (atan2 im re))
0.4b
(log1p (expm1 (* (* (/ 1 (sqrt (log 10))) (atan2 im re)) (/ 1 (sqrt (log 10))))))
0.6b
(expm1 (* (* (/ 1 (sqrt (log 10))) (atan2 im re)) (/ 1 (sqrt (log 10)))))
0.8b
(* (* (/ 1 (sqrt (log 10))) (atan2 im re)) (/ 1 (sqrt (log 10))))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
78×add-exp-log
46×times-frac
45×add-sqr-sqrt
40×prod-exp
35×*-un-lft-identity
33×add-cube-cbrt
30×add-cbrt-cube
28×associate-*r*
26×associate-*l* sqrt-prod
20×div-exp
17×pow1
12×cbrt-unprod
10×rec-exp 1-exp
6×cbrt-undiv log-pow
5×log1p-expm1-u unswap-sqr
4×expm1-log1p-u pow-prod-down associate-*l/ insert-posit16 add-log-exp
2×*-commutative div-inv
1×frac-times log1p-udef expm1-log1p log1p-expm1 associate-*r/ un-div-inv expm1-udef
Counts
4 → 145
Calls
4 calls:
25.0ms
(* (/ 1 (sqrt (log 10))) (atan2 im re))
0.0ms
(log1p (expm1 (* (* (/ 1 (sqrt (log 10))) (atan2 im re)) (/ 1 (sqrt (log 10))))))
1.0ms
(expm1 (* (* (/ 1 (sqrt (log 10))) (atan2 im re)) (/ 1 (sqrt (log 10)))))
41.0ms
(* (* (/ 1 (sqrt (log 10))) (atan2 im re)) (/ 1 (sqrt (log 10))))

series444.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(* (/ 1 (sqrt (log 10))) (atan2 im re))
135.0ms
(log1p (expm1 (* (* (/ 1 (sqrt (log 10))) (atan2 im re)) (/ 1 (sqrt (log 10))))))
119.0ms
(expm1 (* (* (/ 1 (sqrt (log 10))) (atan2 im re)) (/ 1 (sqrt (log 10)))))
70.0ms
(* (* (/ 1 (sqrt (log 10))) (atan2 im re)) (/ 1 (sqrt (log 10))))

simplify1.2s

Counts
157 → 157
Iterations
IterNodes
done2005
32005
21171
1478
0187

prune2.0s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes388.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done19
119
014

end0.0ms

sample909.0ms

Algorithm
intervals
Results
743.0ms8000×body80valid