Details

Time bar (total: 2.0s)

sample19.0ms

Algorithm
intervals
Results
11.0ms256×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
pow1
associate-/r* log-pow
add-exp-log add-cbrt-cube associate-/l*
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))

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(/ (atan2 im re) (log 10.0))

simplify86.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
084202
1232188
2581188
31517188
44358188
55002188

prune75.0ms

Filtered
34 candidates to 22 candidates (64.7%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New25934
Fresh000
Picked101
Done000
Total26935

Merged error: 0.1b

Counts
35 → 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))))

rewrite30.0ms

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
div-exp
prod-exp
associate-/r*
cbrt-undiv
cbrt-unprod
div-inv associate-/l*
rec-exp 1-exp add-log-exp
frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 132
Calls
2 calls:
4.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
20.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series163.0ms

Counts
2 → 6
Calls
2 calls:
104.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
59.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify52.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04061427
118851234
250011126

prune228.0ms

Filtered
138 candidates to 73 candidates (52.9%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1335138
Fresh538
Picked101
Done000
Total1398147

Merged error: 0.0b

Counts
147 → 8

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)))))

rewrite31.0ms

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
cbrt-undiv log-pow
associate-*r/ unswap-sqr
pow-prod-down
un-div-inv
frac-times *-commutative div-inv add-log-exp
associate-*l/
Counts
2 → 117
Calls
2 calls:
11.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
14.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

series163.0ms

Counts
2 → 6
Calls
2 calls:
104.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
59.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

simplify45.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
04151074
11996823
25001650

prune167.0ms

Filtered
123 candidates to 59 candidates (48.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1230123
Fresh077
Picked011
Done000
Total1238131

Merged error: 0.0b

Counts
131 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
60×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
19×pow1 associate-/r*
16×log-pow
15×add-exp-log
add-cbrt-cube
div-exp
associate-/l*
div-inv
cbrt-undiv
rec-exp frac-2neg 1-exp clear-num add-log-exp
pow-flip associate-/r/ inv-pow
Counts
2 → 119
Calls
2 calls:
6.0ms
(/ 1 (/ (log 10.0) (atan2 im re)))
4.0ms
(/ (log 10.0) (atan2 im re))

series94.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ 1 (/ (log 10.0) (atan2 im re)))
43.0ms
(/ (log 10.0) (atan2 im re))

simplify66.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0308987
11318879
24661788
35001788

prune128.0ms

Filtered
125 candidates to 57 candidates (45.6%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1223125
Fresh156
Picked101
Done011
Total1249133

Merged error: 0.0b

Counts
133 → 9

regimes130.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0149
1149

end0.0ms

sample405.0ms

Algorithm
intervals
Results
264.0ms8000×body80valid

Profiling

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