Details

Time bar (total: 3.0s)

analyze545.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
6.2%93.6%0.2%9
12.5%87.3%0.2%10
25%74.9%0.2%11
31.2%63.9%4.9%12
39%50.9%10.1%13
44.8%44.4%10.7%14

sample34.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (6.0ms)

IterNodesCost
01577
11577

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (* x.re y.re) (* x.im y.im))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip--
Counts
1 → 11
Calls
1 calls:
4.0ms
(- (* x.re y.re) (* x.im y.im))

series11.0ms

Counts
1 → 3
Calls
1 calls:
11.0ms
(- (* x.re y.re) (* x.im y.im))

simplify43.0ms

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05477145

prune23.0ms

Filtered
11 candidates to 14 candidates (-27.3%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New13114
Fresh000
Picked011
Done000
Total13215

Merged error: 0.0b

Counts
15 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

4.6b
(* x.im (* x.im (* y.im y.im)))
6.9b
(* x.im (* y.im y.im))
7.3b
(* x.re (* y.re y.re))
29.7b
(/ (- (* x.re (* x.re (* y.re y.re))) (* x.im (* x.im (* y.im y.im)))) (+ (* x.re y.re) (* x.im y.im)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log add-cbrt-cube
23×pow1
17×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
12×pow-prod-down prod-exp cbrt-unprod
9×times-frac associate-*l*
4×add-log-exp
3×associate-*r* associate-/r* *-commutative associate-/l*
2×associate-/r/ associate-/l/ unswap-sqr
1×cbrt-undiv flip3-- frac-2neg flip3-+ div-sub div-exp clear-num flip-- flip-+ div-inv
Counts
4 → 91
Calls
4 calls:
7.0ms
(* x.im (* x.im (* y.im y.im)))
5.0ms
(* x.im (* y.im y.im))
5.0ms
(* x.re (* y.re y.re))
12.0ms
(/ (- (* x.re (* x.re (* y.re y.re))) (* x.im (* x.im (* y.im y.im)))) (+ (* x.re y.re) (* x.im y.im)))

series50.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* x.im (* x.im (* y.im y.im)))
6.0ms
(* x.im (* y.im y.im))
6.0ms
(* x.re (* y.re y.re))
31.0ms
(/ (- (* x.re (* x.re (* y.re y.re))) (* x.im (* x.im (* y.im y.im)))) (+ (* x.re y.re) (* x.im y.im)))

simplify39.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
049891250
149891250

prune86.0ms

Filtered
64 candidates to 103 candidates (-60.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1012103
Fresh000
Picked101
Done011
Total1023105

Merged error: 0b

Counts
105 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

2.0b
(cbrt (+ (* x.re y.re) (* x.im y.im)))
2.0b
(cbrt (+ (* x.re y.re) (* x.im y.im)))
2.0b
(cbrt (+ (* x.re y.re) (* x.im y.im)))
21.0b
(* (/ 1 (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im))))) (* (/ (+ (* x.re y.re) (* x.im y.im)) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (- (* x.re y.re) (* x.im y.im))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
82×add-exp-log
44×prod-exp
31×add-cbrt-cube
19×div-exp
18×cbrt-div cbrt-unprod
15×associate-*l*
13×frac-times
11×associate-*r/
9×pow1 cbrt-undiv cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ flip-+
8×associate-/r/
6×rec-exp 1-exp
5×associate-*l/
4×distribute-rgt-in sub-neg flip3-- distribute-lft-in flip-- add-log-exp
3×times-frac pow1/3 pow-prod-down
1×associate-*r* *-commutative div-inv
Counts
4 → 110
Calls
4 calls:
4.0ms
(cbrt (+ (* x.re y.re) (* x.im y.im)))
3.0ms
(cbrt (+ (* x.re y.re) (* x.im y.im)))
4.0ms
(cbrt (+ (* x.re y.re) (* x.im y.im)))
29.0ms
(* (/ 1 (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im))))) (* (/ (+ (* x.re y.re) (* x.im y.im)) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (- (* x.re y.re) (* x.im y.im))))

series119.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(cbrt (+ (* x.re y.re) (* x.im y.im)))
35.0ms
(cbrt (+ (* x.re y.re) (* x.im y.im)))
37.0ms
(cbrt (+ (* x.re y.re) (* x.im y.im)))
11.0ms
(* (/ 1 (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im))))) (* (/ (+ (* x.re y.re) (* x.im y.im)) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (- (* x.re y.re) (* x.im y.im))))

simplify54.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
050581876

prune131.0ms

Filtered
77 candidates to 122 candidates (-58.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1220122
Fresh011
Picked011
Done011
Total1223125

Merged error: 0b

Counts
125 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

3.8b
(* x.re (* (* x.re y.re) y.re))
4.6b
(* x.im (* x.im (* y.im y.im)))
6.9b
(* x.im (* y.im y.im))
29.7b
(/ (- (* x.re (* (* x.re y.re) y.re)) (* x.im (* x.im (* y.im y.im)))) (+ (* x.re y.re) (* x.im y.im)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
29×add-exp-log add-cbrt-cube
27×pow1
16×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
9×times-frac associate-*l*
4×add-log-exp
3×associate-*r* associate-/r* *-commutative associate-/l*
2×associate-/r/ associate-/l/
1×cbrt-undiv flip3-- frac-2neg flip3-+ div-sub div-exp clear-num flip-- flip-+ div-inv unswap-sqr
Counts
4 → 93
Calls
4 calls:
6.0ms
(* x.re (* (* x.re y.re) y.re))
7.0ms
(* x.im (* x.im (* y.im y.im)))
5.0ms
(* x.im (* y.im y.im))
11.0ms
(/ (- (* x.re (* (* x.re y.re) y.re)) (* x.im (* x.im (* y.im y.im)))) (+ (* x.re y.re) (* x.im y.im)))

series51.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* x.re (* (* x.re y.re) y.re))
6.0ms
(* x.im (* x.im (* y.im y.im)))
6.0ms
(* x.im (* y.im y.im))
28.0ms
(/ (- (* x.re (* (* x.re y.re) y.re)) (* x.im (* x.im (* y.im y.im)))) (+ (* x.re y.re) (* x.im y.im)))

simplify40.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
049891299
149891299

prune80.0ms

Filtered
66 candidates to 105 candidates (-59.1%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1050105
Fresh000
Picked011
Done022
Total1053108

Merged error: 0b

Counts
108 → 3

regimes402.0ms

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 (1.0ms)

IterNodesCost
0357
1357

end0.0ms

sample1.1s

Algorithm
intervals
Results
195.0ms8000×body80valid

Profiling

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