Details

Time bar (total: 7.4s)

sample15.0ms

Algorithm
intervals
Results
7.0ms256×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

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))

series59.0ms

Counts
1 → 3
Calls
1 calls:
59.0ms
(/ (atan2 im re) (log 10.0))

simplify89.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
086210
1234196
2595196
31536196
44392196
55002196

prune68.0ms

Filtered
36 candidates to 24 candidates (66.7%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New27936
Fresh000
Picked101
Done000
Total28937

Merged error: 0.1b

Counts
37 → 9

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (atan2 im re) (sqrt (log 10.0)))
0.7b
(* (/ 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×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)))
26.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series310.0ms

Counts
2 → 6
Calls
2 calls:
251.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
59.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify120.0ms

Algorithm
egg-herbie
Counts
336 → 336
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
09263344
147742746
250012582

prune278.0ms

Filtered
336 candidates to 108 candidates (32.1%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New3288336
Fresh718
Picked101
Done000
Total3369345

Merged error: 0b

Counts
345 → 9

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
0.7b
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

rewrite82.0ms

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:
12.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
40.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

series178.0ms

Counts
2 → 6
Calls
2 calls:
111.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
67.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

simplify75.0ms

Algorithm
egg-herbie
Counts
440 → 440
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
010284336
150013376

prune301.0ms

Filtered
440 candidates to 120 candidates (27.3%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New4382440
Fresh268
Picked011
Done000
Total4409449

Merged error: 0b

Counts
449 → 9

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (sqrt (/ 1 (sqrt (log 10.0)))) (/ (atan2 im re) (sqrt (log 10.0))))
0.1b
(/ (atan2 im re) (sqrt (log 10.0)))
0.7b
(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (sqrt (/ 1 (sqrt (log 10.0)))) (/ (atan2 im re) (sqrt (log 10.0)))))

rewrite586.0ms

Algorithm
rewrite-expression-head
Rules
5304×sqrt-div
5096×frac-times
4333×associate-/r*
2972×sqrt-prod
2537×add-sqr-sqrt
2048×*-un-lft-identity
1947×add-cube-cbrt
1872×associate-/l*
647×pow1
637×log-pow
634×clear-num
619×frac-2neg
394×times-frac
392×associate-*r/
258×unswap-sqr
208×associate-*l/
126×associate-*r*
84×associate-*l*
30×un-div-inv
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 → 3335
Calls
3 calls:
29.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (/ (atan2 im re) (sqrt (log 10.0))))
4.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
144.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (sqrt (/ 1 (sqrt (log 10.0)))) (/ (atan2 im re) (sqrt (log 10.0)))))

series475.0ms

Counts
3 → 9
Calls
3 calls:
295.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (/ (atan2 im re) (sqrt (log 10.0))))
108.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
72.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (sqrt (/ 1 (sqrt (log 10.0)))) (/ (atan2 im re) (sqrt (log 10.0)))))

simplify603.0ms

Algorithm
egg-herbie
Counts
3344 → 3344
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
0500168136

prune3.6s

Filtered
3344 candidates to 877 candidates (26.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New334223344
Fresh707
Picked011
Done011
Total334943353

Merged error: 0b

Counts
3353 → 4

regimes76.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02933
12933

end0.0ms

sample368.0ms

Algorithm
intervals
Results
232.0ms8000×body80valid