Details

Time bar (total: 7.0s)

sample18.0ms

Algorithm
intervals
Results
10.0ms256×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

localize6.0ms

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 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))

series53.0ms

Counts
1 → 3
Calls
1 calls:
53.0ms
(/ (atan2 im re) (log 10.0))

simplify93.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
086210
1234196
2595196
31536196
44392196
55002196

prune65.0ms

Filtered
36 candidates to 24 candidates (33.3%)
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))))

rewrite58.0ms

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×expm1-log1p-u rec-exp 1-exp un-div-inv log1p-expm1-u add-log-exp
1×pow-prod-down *-commutative
Counts
2 → 330
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))))

series177.0ms

Counts
2 → 6
Calls
2 calls:
117.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
59.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify123.0ms

Algorithm
egg-herbie
Counts
336 → 336
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
09263344
147742746
250012582

prune425.0ms

Filtered
336 candidates to 111 candidates (67.0%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New3297336
Fresh527
Picked101
Done000
Total3359344

Merged error: 0b

Counts
344 → 9

localize10.0ms

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)))))

rewrite95.0ms

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×expm1-log1p-u log1p-expm1-u add-log-exp
Counts
2 → 434
Calls
2 calls:
13.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
49.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

series169.0ms

Counts
2 → 6
Calls
2 calls:
106.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
63.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

simplify73.0ms

Algorithm
egg-herbie
Counts
440 → 440
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
010284336
150013376

prune297.0ms

Filtered
440 candidates to 119 candidates (73.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New4373440
Fresh448
Picked011
Done000
Total4418449

Merged error: 0b

Counts
449 → 8

localize12.0ms

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))))))

rewrite638.0ms

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 expm1-log1p-u div-exp *-commutative log1p-expm1-u add-log-exp
Counts
3 → 3305
Calls
3 calls:
33.0ms
(* (/ (atan2 im re) (sqrt (log 10.0))) (sqrt (/ 1 (sqrt (log 10.0)))))
5.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
175.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (/ (atan2 im re) (sqrt (log 10.0))) (sqrt (/ 1 (sqrt (log 10.0))))))

series457.0ms

Counts
3 → 9
Calls
3 calls:
283.0ms
(* (/ (atan2 im re) (sqrt (log 10.0))) (sqrt (/ 1 (sqrt (log 10.0)))))
106.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
69.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (/ (atan2 im re) (sqrt (log 10.0))) (sqrt (/ 1 (sqrt (log 10.0))))))

simplify615.0ms

Algorithm
egg-herbie
Counts
3314 → 3314
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
0500171312

prune3.2s

Filtered
3314 candidates to 847 candidates (74.4%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New331133314
Fresh606
Picked101
Done011
Total331843322

Merged error: 0b

Counts
3322 → 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

sample351.0ms

Algorithm
intervals
Results
221.0ms8000×body80valid