Details

Time bar (total: 4.5s)

analyze369.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
50%50%0.1%5
50%50%0.1%6
50%37.5%12.6%7
50%37.5%12.6%8
50%31.2%18.8%9
50%31.2%18.8%10
50%28.1%22%11
50%28.1%22%12
50%26.5%23.5%13
50%26.5%23.5%14

sample115.0ms

Algorithm
intervals
Results
34.0ms49×body1280valid
22.0ms50×body1280invalid
14.0ms41×body640valid
10.0ms140×body80valid
9.0ms32×body640invalid
4.0ms18×body320invalid
3.0ms17×body320valid
2.0ms11×body160invalid
1.0ms11×body80invalid
1.0ms9×body160valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (9.0ms)

IterNodesCost
025811
125811

prune6.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))
0.0b
(+ (exp (neg im)) (exp im))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
4×associate-*r* add-log-exp
3×add-sqr-sqrt add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
2×flip3-+ associate-*r/ flip-+ distribute-lft-out
1×+-commutative distribute-rgt-in distribute-lft-in associate-*l* sum-log *-commutative
Counts
2 → 35
Calls
2 calls:
16.0ms
(* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))
7.0ms
(+ (exp (neg im)) (exp im))

series34.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))
6.0ms
(+ (exp (neg im)) (exp im))

simplify60.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
05913437

prune37.0ms

Filtered
27 candidates to 41 candidates (-51.9%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New40141
Fresh000
Picked101
Done000
Total41142

Merged error: 0.0b

Counts
42 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* 0.5 (/ (cos re) (exp im))) (* (exp im) (* 0.5 (cos re))))
0.0b
(/ (cos re) (exp im))
0.0b
(* (exp im) (* 0.5 (cos re)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×add-cbrt-cube
9×times-frac
8×pow1
7×add-exp-log
5×add-log-exp
3×associate-*l* pow-prod-down prod-exp associate-/r* cbrt-unprod associate-/l*
1×cbrt-undiv +-commutative frac-2neg flip3-+ div-exp associate-*r* clear-num sum-log *-commutative flip-+ div-inv
Counts
3 → 56
Calls
3 calls:
7.0ms
(+ (* 0.5 (/ (cos re) (exp im))) (* (exp im) (* 0.5 (cos re))))
4.0ms
(/ (cos re) (exp im))
8.0ms
(* (exp im) (* 0.5 (cos re)))

series38.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(+ (* 0.5 (/ (cos re) (exp im))) (* (exp im) (* 0.5 (cos re))))
8.0ms
(/ (cos re) (exp im))
9.0ms
(* (exp im) (* 0.5 (cos re)))

simplify40.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
05190657

prune78.0ms

Filtered
47 candidates to 65 candidates (-38.3%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New63265
Fresh000
Picked101
Done000
Total64266

Merged error: 0b

Counts
66 → 2

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cos re) (+ (* (exp im) 0.5) (/ 0.5 (exp im))))
0.0b
(+ (* (exp im) 0.5) (/ 0.5 (exp im)))
0.0b
(/ 0.5 (exp im))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-cbrt-cube
6×add-exp-log
5×pow1 add-log-exp
3×associate-*r* associate-*l* associate-/r* associate-/l*
2×flip3-+ associate-*r/ flip-+
1×cbrt-undiv +-commutative distribute-rgt-in frac-2neg distribute-lft-in div-exp pow-prod-down prod-exp clear-num sum-log *-commutative cbrt-unprod div-inv unswap-sqr
Counts
3 → 60
Calls
3 calls:
17.0ms
(* (cos re) (+ (* (exp im) 0.5) (/ 0.5 (exp im))))
13.0ms
(+ (* (exp im) 0.5) (/ 0.5 (exp im)))
7.0ms
(/ 0.5 (exp im))

series27.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(* (cos re) (+ (* (exp im) 0.5) (/ 0.5 (exp im))))
8.0ms
(+ (* (exp im) 0.5) (/ 0.5 (exp im)))
4.0ms
(/ 0.5 (exp im))

simplify66.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
04893702
14893702

prune76.0ms

Filtered
55 candidates to 69 candidates (-25.5%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New69069
Fresh011
Picked011
Done000
Total69271

Merged error: 0b

Counts
71 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (exp im) (* 0.5 (cos re)))
0.0b
(sqrt (* (exp im) (* 0.5 (cos re))))
0.0b
(sqrt (* (exp im) (* 0.5 (cos re))))
0.7b
(* (sqrt (* (exp im) (* 0.5 (cos re)))) (sqrt (* (exp im) (* 0.5 (cos re)))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
148×pow1
80×pow-prod-down
66×sqrt-pow1
17×pow-prod-up
14×pow1/2
11×add-sqr-sqrt pow-sqr add-cbrt-cube
9×add-exp-log add-cube-cbrt *-un-lft-identity
7×associate-*l*
6×sqrt-prod
5×associate-*r*
4×swap-sqr prod-exp cbrt-unprod add-log-exp
2×*-commutative
1×pow2 pow-plus sqrt-unprod rem-square-sqrt unswap-sqr
Counts
4 → 108
Calls
4 calls:
6.0ms
(* (exp im) (* 0.5 (cos re)))
5.0ms
(sqrt (* (exp im) (* 0.5 (cos re))))
5.0ms
(sqrt (* (exp im) (* 0.5 (cos re))))
14.0ms
(* (sqrt (* (exp im) (* 0.5 (cos re)))) (sqrt (* (exp im) (* 0.5 (cos re)))))

series54.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* (exp im) (* 0.5 (cos re)))
17.0ms
(sqrt (* (exp im) (* 0.5 (cos re))))
15.0ms
(sqrt (* (exp im) (* 0.5 (cos re))))
13.0ms
(* (sqrt (* (exp im) (* 0.5 (cos re)))) (sqrt (* (exp im) (* 0.5 (cos re)))))

simplify52.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
05120759

prune122.0ms

Filtered
54 candidates to 120 candidates (-122.2%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1200120
Fresh000
Picked011
Done011
Total1202122

Merged error: 0b

Counts
122 → 2

regimes96.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01212
11212

end0.0ms

analyze335.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
50%50%0.1%5
50%50%0.1%6
50%37.5%12.6%7
50%37.5%12.6%8
50%31.2%18.8%9
50%31.2%18.8%10
50%28.1%22%11
50%28.1%22%12
50%26.5%23.5%13
50%26.5%23.5%14

sample2.7s

Algorithm
intervals
Results
811.0ms1555×body1280valid
481.0ms1483×body1280invalid
337.0ms1224×body640valid
270.0ms1227×body640invalid
233.0ms4271×body80valid
111.0ms637×body320valid
97.0ms616×body320invalid
37.0ms317×body160invalid
35.0ms313×body160valid
33.0ms545×body80invalid

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