Details

Time bar (total: 3.1s)

sample15.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify2.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
063

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite3.0ms

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:
3.0ms
(/ (atan2 im re) (log 10.0))

series54.0ms

Counts
1 → 3
Calls
1 calls:
54.0ms
(/ (atan2 im re) (log 10.0))

simplify90.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
086210
1234196
2597196
31533196
44399196
55001196

prune81.0ms

Filtered
36 candidates to 24 candidates (66.7%)
Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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))

rewrite4.0ms

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)))
3.0ms
(/ (atan2 im re) (log 10.0))

series246.0ms

Counts
3 → 9
Calls
3 calls:
105.0ms
(log1p (expm1 (/ (atan2 im re) (log 10.0))))
86.0ms
(expm1 (/ (atan2 im re) (log 10.0)))
55.0ms
(/ (atan2 im re) (log 10.0))

simplify92.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
0111346
1297316
2759315
32692315
45001315

prune151.0ms

Filtered
64 candidates to 40 candidates (62.5%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (atan2 im re) (sqrt (log 10.0)))
0.4b
(log1p (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))))

rewrite40.0ms

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 add-log-exp
3×div-inv associate-/l*
2×rec-exp 1-exp
1×frac-times log1p-udef expm1-log1p frac-2neg log1p-expm1 associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative expm1-udef
Counts
4 → 158
Calls
4 calls:
3.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
0.0ms
(log1p (expm1 (* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))))
0.0ms
(expm1 (* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0)))))
30.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series366.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
108.0ms
(log1p (expm1 (* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))))
90.0ms
(expm1 (* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0)))))
61.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify61.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04371720
119291461
250011337

prune384.0ms

Filtered
170 candidates to 95 candidates (55.9%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

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 (log1p (expm1 (expm1 (* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))))))
0.0ms
(log1p (expm1 (expm1 (* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0)))))))
0.0ms
(expm1 (* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0)))))
29.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series455.0ms

Counts
4 → 12
Calls
4 calls:
160.0ms
(log1p (log1p (expm1 (expm1 (* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))))))
146.0ms
(log1p (expm1 (expm1 (* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0)))))))
90.0ms
(expm1 (* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0)))))
59.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify52.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04251473
118381228
250011087

prune320.0ms

Filtered
136 candidates to 75 candidates (55.1%)
Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes164.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01712
11712

end0.0ms

sample388.0ms

Algorithm
intervals
Results
241.0ms8000×body80valid