Details

Time bar (total: 10.7s)

sample48.0ms

Algorithm
intervals
Results
34.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations
IterNodes
done6
06

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize20.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

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:
9.0ms
(/ (atan2 im re) (log 10))

series79.0ms

Counts
1 → 3
Calls
1 calls:
79.0ms
(/ (atan2 im re) (log 10))

simplify1.2s

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

prune397.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

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))

series369.0ms

Counts
3 → 9
Calls
3 calls:
150.0ms
(log1p (expm1 (/ (atan2 im re) (log 10))))
133.0ms
(expm1 (/ (atan2 im re) (log 10)))
87.0ms
(/ (atan2 im re) (log 10))

simplify1.2s

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

prune648.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (atan2 im re) (sqrt (log 10)))
0.8b
(* (/ 1 (sqrt (log 10))) (/ (atan2 im re) (sqrt (log 10))))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
92×add-sqr-sqrt
85×times-frac
52×*-un-lft-identity
51×sqrt-prod
46×add-cube-cbrt
26×add-exp-log
25×associate-*r* associate-*l*
16×add-cbrt-cube
15×unswap-sqr
14×pow1
10×log-pow
9×div-exp
8×prod-exp
7×associate-/r*
5×cbrt-undiv
4×cbrt-unprod
3×div-inv associate-/l*
2×expm1-log1p-u rec-exp 1-exp insert-posit16 log1p-expm1-u add-log-exp
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
2 → 138
Calls
2 calls:
11.0ms
(/ (atan2 im re) (sqrt (log 10)))
46.0ms
(* (/ 1 (sqrt (log 10))) (/ (atan2 im re) (sqrt (log 10))))

series255.0ms

Counts
2 → 6
Calls
2 calls:
168.0ms
(/ (atan2 im re) (sqrt (log 10)))
87.0ms
(* (/ 1 (sqrt (log 10))) (/ (atan2 im re) (sqrt (log 10))))

simplify1.1s

Counts
144 → 144
Iterations
IterNodes
done2004
32004
21271
1440
0163

prune1.6s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (atan2 im re) (/ 1 (sqrt (log 10))))
0.8b
(* (/ 1 (sqrt (log 10))) (* (atan2 im re) (/ 1 (sqrt (log 10)))))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
76×add-exp-log
46×times-frac
43×add-sqr-sqrt
40×prod-exp
33×*-un-lft-identity
31×add-cube-cbrt
28×add-cbrt-cube associate-*l*
26×associate-*r* sqrt-prod
20×div-exp
15×pow1
12×cbrt-unprod
10×rec-exp 1-exp
6×cbrt-undiv log-pow
5×associate-*r/ unswap-sqr
4×pow-prod-down
3×un-div-inv
2×expm1-log1p-u frac-times *-commutative insert-posit16 log1p-expm1-u div-inv add-log-exp
1×associate-*l/
Counts
2 → 123
Calls
2 calls:
12.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10))))
61.0ms
(* (/ 1 (sqrt (log 10))) (* (atan2 im re) (/ 1 (sqrt (log 10)))))

series297.0ms

Counts
2 → 6
Calls
2 calls:
187.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10))))
109.0ms
(* (/ 1 (sqrt (log 10))) (* (atan2 im re) (/ 1 (sqrt (log 10)))))

simplify1.0s

Counts
129 → 129
Iterations
IterNodes
done2002
32002
21134
1437
0163

prune1.2s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes314.0ms

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done8
08

end0.0ms

sample825.0ms

Algorithm
intervals
Results
629.0ms8000×body80valid