Details

Time bar (total: 2.8s)

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 (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))

series58.0ms

Counts
1 → 3
Calls
1 calls:
58.0ms
(/ (atan2 im re) (log 10.0))

simplify91.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
086210
1234196
2597196
31533196
44399196
55001196

prune83.0ms

Filtered
36 candidates to 24 candidates (66.7%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New261036
Fresh000
Picked101
Done000
Total271037

Merged error: 0.0b

Counts
37 → 10

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))))

rewrite35.0ms

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:
4.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
21.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series162.0ms

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 (41.0ms)

IterNodesCost
04101455
118891262
250011154

prune241.0ms

Filtered
142 candidates to 76 candidates (53.5%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New1375142
Fresh189
Picked101
Done000
Total13913152

Merged error: 0.0b

Counts
152 → 13

localize9.0ms

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)))))

rewrite36.0ms

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:
11.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
19.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

series169.0ms

Counts
2 → 6
Calls
2 calls:
107.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
62.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

simplify47.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
04191106
12000855
25002682

prune195.0ms

Filtered
127 candidates to 63 candidates (49.6%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1270127
Fresh01212
Picked011
Done000
Total12713140

Merged error: 0.0b

Counts
140 → 13

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

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
129×sqrt-prod
117×add-sqr-sqrt
108×times-frac
69×*-un-lft-identity
63×add-cube-cbrt
56×associate-*l*
26×associate-*r*
23×pow1
19×add-exp-log add-cbrt-cube
18×unswap-sqr
13×log-pow
10×sqrt-div
7×prod-exp associate-/r* cbrt-unprod
6×frac-times associate-*r/
4×pow-prod-down associate-*l/ div-inv
3×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u associate-/l* add-log-exp
2×*-commutative
1×frac-2neg clear-num
Counts
3 → 188
Calls
3 calls:
27.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (/ (atan2 im re) (sqrt (log 10.0))))
4.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
22.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (sqrt (/ 1 (sqrt (log 10.0)))) (/ (atan2 im re) (sqrt (log 10.0)))))

series467.0ms

Counts
3 → 9
Calls
3 calls:
289.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (/ (atan2 im re) (sqrt (log 10.0))))
109.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
69.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (sqrt (/ 1 (sqrt (log 10.0)))) (/ (atan2 im re) (sqrt (log 10.0)))))

simplify78.0ms

Algorithm
egg-herbie
Counts
197 → 197
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
04682358
121002142
250021972

prune385.0ms

Filtered
197 candidates to 118 candidates (59.9%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1952197
Fresh7411
Picked011
Done011
Total2028210

Merged error: 0b

Counts
210 → 8

regimes128.0ms

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
01921
11921

end0.0ms

sample438.0ms

Algorithm
intervals
Results
296.0ms8000×body80valid