Details

Time bar (total: 2.2s)

sample16.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify8.0ms

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: 0.9b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.9b
(/ (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))

series53.0ms

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

simplify89.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
084202
1232188
2581188
31517188
44358188
55002188

prune69.0ms

Filtered
34 candidates to 22 candidates (64.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New28634
Fresh000
Picked011
Done000
Total28735

Merged error: 0.1b

Counts
35 → 7

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))))

rewrite33.0ms

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×rec-exp 1-exp add-log-exp
1×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)))
23.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series171.0ms

Counts
2 → 6
Calls
2 calls:
109.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
62.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify53.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04061427
119051234
250011126

prune225.0ms

Filtered
138 candidates to 72 candidates (52.2%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1326138
Fresh235
Picked101
Done101
Total1369145

Merged error: 0.0b

Counts
145 → 9

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
0.8b
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

rewrite30.0ms

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×frac-times *-commutative div-inv add-log-exp
1×associate-*l/
Counts
2 → 117
Calls
2 calls:
10.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
14.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

series174.0ms

Counts
2 → 6
Calls
2 calls:
110.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
64.0ms
(* (/ 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

prune179.0ms

Filtered
123 candidates to 59 candidates (48.0%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1230123
Fresh088
Picked011
Done000
Total1239132

Merged error: 0.0b

Counts
132 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (cbrt (sqrt (log 10.0))) (cbrt (sqrt (log 10.0))))
3.0b
(cbrt (atan2 im re))
3.0b
(cbrt (atan2 im re))
3.0b
(cbrt (atan2 im re))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
57×cbrt-prod
41×add-sqr-sqrt
28×sqrt-prod
21×*-un-lft-identity
19×add-cube-cbrt
17×pow1
14×swap-sqr
10×associate-*r* associate-*l*
9×pow1/3 unswap-sqr
6×add-exp-log log-pow
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 94
Calls
4 calls:
8.0ms
(* (cbrt (sqrt (log 10.0))) (cbrt (sqrt (log 10.0))))
1.0ms
(cbrt (atan2 im re))
1.0ms
(cbrt (atan2 im re))
1.0ms
(cbrt (atan2 im re))

series122.0ms

Counts
4 → 10
Calls
4 calls:
0.0ms
(* (cbrt (sqrt (log 10.0))) (cbrt (sqrt (log 10.0))))
39.0ms
(cbrt (atan2 im re))
39.0ms
(cbrt (atan2 im re))
44.0ms
(cbrt (atan2 im re))

simplify54.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 3 (42.0ms)

IterNodesCost
0116791
1415733
21732657
35001617

prune236.0ms

Filtered
104 candidates to 60 candidates (57.7%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1013104
Fresh167
Picked011
Done011
Total10211113

Merged error: 0b

Counts
113 → 11

regimes142.0ms

Accuracy

0% (0.8b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0149
1149

end0.0ms

sample394.0ms

Algorithm
intervals
Results
263.0ms8000×body80valid

Profiling

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