Details

Time bar (total: 11.3s)

sample34.0ms

Algorithm
intervals
Results
16.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066
done66

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize14.0ms

Local error

Found 1 expressions with local error:

0.9b
(/ (atan2 im re) (log 10.0))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
12×times-frac
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×pow1
4×associate-/r* log-pow
3×add-exp-log add-cbrt-cube associate-/l*
1×cbrt-undiv expm1-log1p-u frac-2neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 33
Calls
1 calls:
9.0ms
(/ (atan2 im re) (log 10.0))

series74.0ms

Counts
1 → 3
Calls
1 calls:
74.0ms
(/ (atan2 im re) (log 10.0))

simplify2.0s

Counts
36 → 36
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
054385
191368
2268344
31356344
done5000344

prune133.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.4b
(log1p (expm1 (/ (atan2 im re) (log 10.0))))
0.6b
(expm1 (/ (atan2 im re) (log 10.0)))
0.9b
(/ (atan2 im re) (log 10.0))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
7×pow1
5×add-exp-log add-cbrt-cube
4×associate-/r* log-pow log1p-expm1-u
3×expm1-log1p-u associate-/l* add-log-exp
1×cbrt-undiv log1p-udef expm1-log1p frac-2neg log1p-expm1 div-exp clear-num div-inv expm1-udef
Counts
3 → 55
Calls
3 calls:
0.0ms
(log1p (expm1 (/ (atan2 im re) (log 10.0))))
0.0ms
(expm1 (/ (atan2 im re) (log 10.0)))
6.0ms
(/ (atan2 im re) (log 10.0))

series344.0ms

Counts
3 → 9
Calls
3 calls:
115.0ms
(log1p (expm1 (/ (atan2 im re) (log 10.0))))
136.0ms
(expm1 (/ (atan2 im re) (log 10.0)))
93.0ms
(/ (atan2 im re) (log 10.0))

simplify1.1s

Counts
64 → 64
Iterations

Useful iterations: 3 (201.0ms)

IterNodesCost
074650
1124601
2359553
31664549
done5000549

prune267.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b
(log1p (expm1 (expm1 (/ (atan2 im re) (log 10.0)))))
0.4b
(log1p (log1p (expm1 (expm1 (/ (atan2 im re) (log 10.0))))))
0.6b
(expm1 (/ (atan2 im re) (log 10.0)))
0.9b
(/ (atan2 im re) (log 10.0))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×times-frac
8×pow1
6×add-exp-log add-cbrt-cube
5×expm1-log1p-u log1p-expm1-u
4×associate-/r* log-pow add-log-exp
3×associate-/l*
2×log1p-udef log1p-expm1
1×cbrt-undiv expm1-log1p frac-2neg div-exp clear-num div-inv expm1-udef
Counts
4 → 66
Calls
4 calls:
1.0ms
(log1p (expm1 (expm1 (/ (atan2 im re) (log 10.0)))))
1.0ms
(log1p (log1p (expm1 (expm1 (/ (atan2 im re) (log 10.0))))))
1.0ms
(expm1 (/ (atan2 im re) (log 10.0)))
11.0ms
(/ (atan2 im re) (log 10.0))

series702.0ms

Counts
4 → 12
Calls
4 calls:
220.0ms
(log1p (expm1 (expm1 (/ (atan2 im re) (log 10.0)))))
266.0ms
(log1p (log1p (expm1 (expm1 (/ (atan2 im re) (log 10.0))))))
140.0ms
(expm1 (/ (atan2 im re) (log 10.0)))
77.0ms
(/ (atan2 im re) (log 10.0))

simplify1.2s

Counts
78 → 78
Iterations

Useful iterations: 3 (244.0ms)

IterNodesCost
085833
1144726
2453664
32187660
done5001660

prune344.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.4b
(log1p (expm1 (expm1 (* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0)))))))
0.4b
(log1p (log1p (expm1 (expm1 (* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))))))
0.6b
(expm1 (* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0)))))
0.8b
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
78×add-sqr-sqrt
64×times-frac
38×*-un-lft-identity
35×sqrt-prod
32×add-cube-cbrt
26×add-exp-log
25×associate-*r* associate-*l*
16×add-cbrt-cube
15×unswap-sqr
12×pow1
8×div-exp prod-exp
6×log-pow
5×expm1-log1p-u log1p-expm1-u
4×cbrt-undiv cbrt-unprod add-log-exp
2×rec-exp log1p-udef 1-exp log1p-expm1 div-inv
1×frac-times expm1-log1p associate-*r/ pow-prod-down associate-*l/ *-commutative expm1-udef
Counts
4 → 124
Calls
4 calls:
0.0ms
(log1p (expm1 (expm1 (* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0)))))))
1.0ms
(log1p (log1p (expm1 (expm1 (* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))))))
1.0ms
(expm1 (* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0)))))
90.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series640.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(log1p (expm1 (expm1 (* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0)))))))
213.0ms
(log1p (log1p (expm1 (expm1 (* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))))))
138.0ms
(expm1 (* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0)))))
104.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify2.7s

Counts
136 → 136
Iterations

Useful iterations: done (2.7s)

IterNodesCost
01682461
14752250
228911515
done50011483

prune417.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes377.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01010
done1010

end0.0ms

sample741.0ms

Algorithm
intervals
Results
389.0ms8000×body80valid