Details

Time bar (total: 2.5s)

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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.9b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

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))

series56.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(/ (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

prune76.0ms

Filtered
36 candidates to 24 candidates (66.7%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New28836
Fresh000
Picked101
Done000
Total29837

Merged error: 0.0b

Counts
37 → 8

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (atan2 im re) (sqrt (log 10.0)))
0.8b
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

rewrite33.0ms

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 log1p-expm1-u add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 136
Calls
2 calls:
5.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
20.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series161.0ms

Counts
2 → 6
Calls
2 calls:
106.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
55.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify54.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
04101455
118891262
250011154

prune257.0ms

Filtered
142 candidates to 77 candidates (54.2%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1357142
Fresh437
Picked101
Done000
Total14010150

Merged error: 0.0b

Counts
150 → 10

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
0.8b
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

rewrite35.0ms

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×associate-*l* add-cbrt-cube
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 log1p-expm1-u div-inv add-log-exp
1×associate-*l/
Counts
2 → 121
Calls
2 calls:
14.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
15.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

series166.0ms

Counts
2 → 6
Calls
2 calls:
111.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
55.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

simplify46.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
04191106
12000855
25002682

prune207.0ms

Filtered
127 candidates to 62 candidates (48.8%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1243127
Fresh369
Picked011
Done000
Total12710137

Merged error: 0.0b

Counts
137 → 10

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (atan2 im re) (sqrt (/ 1 (sqrt (log 10.0)))))
0.1b
(* (* (atan2 im re) (sqrt (/ 1 (sqrt (log 10.0))))) (sqrt (/ 1 (sqrt (log 10.0)))))
0.8b
(* (/ 1 (sqrt (log 10.0))) (* (* (atan2 im re) (sqrt (/ 1 (sqrt (log 10.0))))) (sqrt (/ 1 (sqrt (log 10.0))))))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
93×sqrt-prod
67×times-frac
62×add-sqr-sqrt
57×associate-*r*
50×*-un-lft-identity
49×add-exp-log
48×add-cube-cbrt
31×add-cbrt-cube
29×associate-*l*
28×pow1 prod-exp
16×cbrt-unprod
13×sqrt-div associate-*r/
10×pow-prod-down
9×log-pow
6×frac-times div-exp unswap-sqr
4×associate-*l/
3×cbrt-undiv expm1-log1p-u rec-exp 1-exp *-commutative log1p-expm1-u div-inv add-log-exp
Counts
3 → 163
Calls
3 calls:
12.0ms
(* (atan2 im re) (sqrt (/ 1 (sqrt (log 10.0)))))
18.0ms
(* (* (atan2 im re) (sqrt (/ 1 (sqrt (log 10.0))))) (sqrt (/ 1 (sqrt (log 10.0)))))
27.0ms
(* (/ 1 (sqrt (log 10.0))) (* (* (atan2 im re) (sqrt (/ 1 (sqrt (log 10.0))))) (sqrt (/ 1 (sqrt (log 10.0))))))

series366.0ms

Counts
3 → 9
Calls
3 calls:
190.0ms
(* (atan2 im re) (sqrt (/ 1 (sqrt (log 10.0)))))
109.0ms
(* (* (atan2 im re) (sqrt (/ 1 (sqrt (log 10.0))))) (sqrt (/ 1 (sqrt (log 10.0)))))
66.0ms
(* (/ 1 (sqrt (log 10.0))) (* (* (atan2 im re) (sqrt (/ 1 (sqrt (log 10.0))))) (sqrt (/ 1 (sqrt (log 10.0))))))

simplify71.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05531956
129011428
250011235

prune322.0ms

Filtered
172 candidates to 92 candidates (53.5%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1693172
Fresh448
Picked101
Done101
Total1757182

Merged error: 0b

Counts
182 → 7

regimes100.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02022
12022

end0.0ms

sample370.0ms

Algorithm
intervals
Results
235.0ms8000×body80valid