Details

Time bar (total: 2.4s)

analyze4.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
50%50%0.1%2
74.9%25%0.1%3
87.4%12.5%0.1%4
93.7%6.2%0.1%5
96.8%3.1%0.1%6
98.3%1.6%0.1%7
99.1%0.8%0.1%8
99.5%0.4%0.1%9
99.7%0.2%0.1%10
99.8%0.1%0.1%11
99.9%0%0.1%12
99.9%0%0.1%13
99.9%0%0.1%14

sample52.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
066
166

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.9b

Counts
2 → 1

localize13.0ms

Local error

Found 1 expressions with local error:

0.9b
(/ (atan2 im re) (log 10.0))

rewrite7.0ms

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:
5.0ms
(/ (atan2 im re) (log 10.0))

series12.0ms

Counts
1 → 3
Calls
1 calls:
12.0ms
(/ (atan2 im re) (log 10.0))

simplify82.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 0 (78.0ms)

IterNodesCost
04499330
14499330

prune71.0ms

Filtered
22 candidates to 34 candidates (-54.5%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New26834
Fresh000
Picked101
Done000
Total27835

Merged error: 0.1b

Counts
35 → 8

localize10.0ms

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))))

rewrite31.0ms

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

series19.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
8.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify64.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
049511597
149511597

prune217.0ms

Filtered
67 candidates to 138 candidates (-106.0%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1335138
Fresh257
Picked101
Done000
Total13610146

Merged error: 0.0b

Counts
146 → 10

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)))))

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
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:
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)))))

series21.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
8.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

simplify89.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 0 (77.0ms)

IterNodesCost
047101035
147101035

prune159.0ms

Filtered
55 candidates to 123 candidates (-123.6%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1221123
Fresh459
Picked011
Done000
Total1267133

Merged error: 0b

Counts
133 → 7

localize15.0ms

Local error

Found 2 expressions with local error:

0.8b
(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (atan2 im re) (pow (/ 1 (sqrt (log 10.0))) 3/2)))
0.9b
(* (atan2 im re) (pow (/ 1 (sqrt (log 10.0))) 3/2))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
51×sqrt-prod
48×add-sqr-sqrt
46×times-frac
35×*-un-lft-identity
34×add-exp-log
33×add-cube-cbrt
31×associate-*l*
30×unpow-prod-down associate-*r*
19×prod-exp
10×pow1
9×add-cbrt-cube
8×pow-exp
7×unswap-sqr
6×log-pow
4×div-exp cbrt-unprod
2×pow-to-exp rec-exp 1-exp *-commutative div-inv add-log-exp sqr-pow
1×sqrt-div pow-prod-down associate-*l/
Counts
2 → 102
Calls
2 calls:
16.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (atan2 im re) (pow (/ 1 (sqrt (log 10.0))) 3/2)))
14.0ms
(* (atan2 im re) (pow (/ 1 (sqrt (log 10.0))) 3/2))

series33.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (atan2 im re) (pow (/ 1 (sqrt (log 10.0))) 3/2)))
26.0ms
(* (atan2 im re) (pow (/ 1 (sqrt (log 10.0))) 3/2))

simplify38.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
053021640

prune222.0ms

Filtered
63 candidates to 108 candidates (-71.4%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1071108
Fresh325
Picked011
Done011
Total1105115

Merged error: 0b

Counts
115 → 5

regimes144.0ms

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
01618
11618

end0.0ms

sample967.0ms

Algorithm
intervals
Results
259.0ms8000×body80valid

Profiling

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