Details

Time bar (total: 2.8s)

sample15.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify3.0ms

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:
2.0ms
(/ (atan2 im re) (log 10.0))

series55.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(/ (atan2 im re) (log 10.0))

simplify89.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
086210
1234196
2597196
31533196
44399196
55001196

prune76.0ms

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)))
2.0ms
(/ (atan2 im re) (log 10.0))

series238.0ms

Counts
3 → 9
Calls
3 calls:
100.0ms
(log1p (expm1 (/ (atan2 im re) (log 10.0))))
83.0ms
(expm1 (/ (atan2 im re) (log 10.0)))
54.0ms
(/ (atan2 im re) (log 10.0))

simplify90.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
0111346
1297316
2759315
32692315
45001315

prune134.0ms

Filtered
64 candidates to 39 candidates (60.9%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

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))))

rewrite41.0ms

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)))))
31.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series353.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
104.0ms
(log1p (expm1 (* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))))
87.0ms
(expm1 (* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0)))))
58.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify57.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04371720
119291461
250011337

prune357.0ms

Filtered
170 candidates to 96 candidates (56.5%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
0.4b
(log1p (expm1 (* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))))
0.6b
(expm1 (* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0))))))
0.8b
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

rewrite51.0ms

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-*l*
26×associate-*r* sqrt-prod
20×div-exp
17×pow1
12×cbrt-unprod
10×rec-exp 1-exp
6×cbrt-undiv log-pow
5×associate-*r/ log1p-expm1-u unswap-sqr
4×expm1-log1p-u pow-prod-down add-log-exp
3×un-div-inv
2×frac-times *-commutative div-inv
1×log1p-udef expm1-log1p log1p-expm1 associate-*l/ expm1-udef
Counts
4 → 143
Calls
4 calls:
14.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
0.0ms
(log1p (expm1 (* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))))
0.0ms
(expm1 (* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0))))))
30.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

series366.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
105.0ms
(log1p (expm1 (* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))))
89.0ms
(expm1 (* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0))))))
60.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

simplify49.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
04461396
120541069
25001877

prune295.0ms

Filtered
155 candidates to 82 candidates (52.9%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes109.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01611
11611

end0.0ms

sample387.0ms

Algorithm
intervals
Results
246.0ms8000×body80valid