Details

Time bar (total: 2.2s)

analyze4.0ms (0.2%)

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

sample16.0ms (0.7%)

Algorithm
intervals
Results
8.0ms256×body80valid

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
066
166

prune13.0ms (0.6%)

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 (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite4.0ms (0.2%)

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))

series8.0ms (0.3%)

Counts
1 → 3
Calls

1 calls:

8.0ms
(/ (atan2 im re) (log 10.0))

simplify85.0ms (3.9%)

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 0 (81.0ms)

IterNodesCost
04499330
14499330

prune80.0ms (3.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New28634
Fresh000
Picked101
Done000
Total29635

Merged error: 0.1b

Counts
35 → 6

localize10.0ms (0.5%)

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))))

rewrite32.0ms (1.5%)

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:

19.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))
6.0ms
(/ (atan2 im re) (sqrt (log 10.0)))

series19.0ms (0.9%)

Counts
2 → 6
Calls

2 calls:

11.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
8.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify65.0ms (3%)

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
049511597
149511597

prune358.0ms (16.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1353138
Fresh145
Picked011
Done000
Total1368144

Merged error: 0.0b

Counts
144 → 8

localize10.0ms (0.4%)

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)))))

rewrite30.0ms (1.4%)

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:

14.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))
10.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))

series19.0ms (0.9%)

Counts
2 → 6
Calls

2 calls:

11.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
8.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

simplify90.0ms (4.1%)

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 0 (78.0ms)

IterNodesCost
047101035
147101035

prune294.0ms (13.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1221123
Fresh246
Picked011
Done011
Total1247131

Merged error: 0.0b

Counts
131 → 7

localize14.0ms (0.7%)

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

rewrite37.0ms (1.7%)

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
add-cbrt-cube
pow-exp
unswap-sqr
log-pow
div-exp cbrt-unprod
pow-to-exp rec-exp 1-exp *-commutative div-inv add-log-exp sqr-pow
sqrt-div pow-prod-down associate-*l/
Counts
2 → 102
Calls

2 calls:

17.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (atan2 im re) (pow (/ 1 (sqrt (log 10.0))) 3/2)))
15.0ms
(* (atan2 im re) (pow (/ 1 (sqrt (log 10.0))) 3/2))

series34.0ms (1.6%)

Counts
2 → 6
Calls

2 calls:

26.0ms
(* (atan2 im re) (pow (/ 1 (sqrt (log 10.0))) 3/2))
8.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (atan2 im re) (pow (/ 1 (sqrt (log 10.0))) 3/2)))

simplify40.0ms (1.8%)

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
053021640

prune379.0ms (17.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1062108
Fresh314
Picked011
Done112
Total1105115

Merged error: 0b

Counts
115 → 5

regimes151.0ms (6.9%)

Accuracy

Total 0.1b remaining (97.6%)

Threshold costs 0.1b (97.6%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01618
11618

end0.0ms (0%)

sample398.0ms (18.1%)

Algorithm
intervals
Results
269.0ms8000×body80valid

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