Details

Time bar (total: 7.1s)

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 (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.8b

Counts
2 → 1

localize10.0ms

Local error

Found 1 expressions with local error:

0.8b
(/ (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 frac-2neg div-exp clear-num div-inv add-log-exp
Counts
1 → 31
Calls
1 calls:
3.0ms
(/ (atan2 im re) (log 10.0))

series55.0ms

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

simplify88.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
084202
1232188
2593188
31534188
44366188
55003188

prune63.0ms

Filtered
34 candidates to 22 candidates (35.3%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New26834
Fresh000
Picked101
Done000
Total27835

Merged error: 0.0b

Counts
35 → 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))))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
203×associate-/r*
176×add-sqr-sqrt
169×frac-times
163×sqrt-prod
137×*-un-lft-identity
130×add-cube-cbrt
88×associate-/l*
85×times-frac
42×pow1
38×log-pow
30×clear-num
29×frac-2neg
26×add-exp-log
25×associate-*r* associate-*l*
16×add-cbrt-cube
15×unswap-sqr
13×associate-*r/ associate-*l/
9×div-exp
8×prod-exp
5×cbrt-undiv
4×cbrt-unprod
3×div-inv
2×rec-exp 1-exp un-div-inv add-log-exp
1×pow-prod-down *-commutative
Counts
2 → 326
Calls
2 calls:
4.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
31.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series173.0ms

Counts
2 → 6
Calls
2 calls:
109.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
64.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify126.0ms

Algorithm
egg-herbie
Counts
332 → 332
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
09223316
147702718
250012554

prune277.0ms

Filtered
332 candidates to 107 candidates (67.8%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New3257332
Fresh527
Picked101
Done000
Total3319340

Merged error: 0b

Counts
340 → 9

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
274×add-sqr-sqrt
224×associate-/r*
211×associate-*r/
208×frac-times
190×sqrt-prod
184×*-un-lft-identity
143×add-cube-cbrt
115×times-frac
111×associate-/l*
88×associate-*r*
76×add-exp-log
65×unswap-sqr
50×pow1
47×clear-num
45×un-div-inv
41×log-pow
40×prod-exp
32×frac-2neg
31×associate-*l*
28×add-cbrt-cube
20×div-exp
13×associate-*l/
12×cbrt-unprod
10×rec-exp 1-exp
6×cbrt-undiv
4×pow-prod-down
3×*-commutative div-inv
2×add-log-exp
Counts
2 → 430
Calls
2 calls:
13.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
45.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

series178.0ms

Counts
2 → 6
Calls
2 calls:
112.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
66.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

simplify73.0ms

Algorithm
egg-herbie
Counts
436 → 436
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
010414304
150023344

prune293.0ms

Filtered
436 candidates to 115 candidates (73.6%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New4333436
Fresh448
Picked011
Done000
Total4378445

Merged error: 0b

Counts
445 → 8

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite783.0ms

Algorithm
rewrite-expression-head
Rules
5278×sqrt-div
5070×frac-times
4319×associate-/r*
2964×sqrt-prod
2531×add-sqr-sqrt
2027×*-un-lft-identity
1941×add-cube-cbrt
1851×associate-/l*
645×pow1
635×log-pow
617×frac-2neg clear-num
394×times-frac
390×associate-*r/
258×unswap-sqr
208×associate-*l/
132×associate-*r*
78×associate-*l*
19×add-exp-log add-cbrt-cube
7×prod-exp cbrt-unprod
6×div-inv
4×pow-prod-down
3×cbrt-undiv div-exp *-commutative add-log-exp
Counts
3 → 3299
Calls
3 calls:
33.0ms
(* (/ (atan2 im re) (sqrt (log 10.0))) (sqrt (/ 1 (sqrt (log 10.0)))))
4.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
149.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (/ (atan2 im re) (sqrt (log 10.0))) (sqrt (/ 1 (sqrt (log 10.0))))))

series466.0ms

Counts
3 → 9
Calls
3 calls:
287.0ms
(* (/ (atan2 im re) (sqrt (log 10.0))) (sqrt (/ 1 (sqrt (log 10.0)))))
107.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
71.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (/ (atan2 im re) (sqrt (log 10.0))) (sqrt (/ 1 (sqrt (log 10.0))))))

simplify616.0ms

Algorithm
egg-herbie
Counts
3308 → 3308
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
0500171252

prune3.2s

Filtered
3308 candidates to 841 candidates (74.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New330533308
Fresh606
Picked101
Done011
Total331243316

Merged error: 0b

Counts
3316 → 4

regimes73.0ms

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
02425
12425

end0.0ms

sample368.0ms

Algorithm
intervals
Results
238.0ms8000×body80valid