Details

Time bar (total: 2.5s)

sample32.0ms

Algorithm
intervals
Results
10.0ms352×body80valid

simplify2.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0107
1107

prune3.0ms

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.im) (* x.im y.re))

rewrite4.0ms

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

series11.0ms

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

simplify38.0ms

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05297141

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

localize15.0ms

Local error

Found 4 expressions with local error:

4.7b
(* x.im (* x.im (* y.re y.re)))
8.8b
(* x.re (* y.im y.im))
11.8b
(* x.im (* y.re y.re))
22.1b
(/ (- (* x.re (* x.re (* y.im y.im))) (* x.im (* x.im (* y.re y.re)))) (- (* x.re y.im) (* x.im y.re)))

rewrite36.0ms

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×flip3-- associate-/r/ flip-- associate-/l/ unswap-sqr
1×cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv
Counts
4 → 91
Calls
4 calls:
8.0ms
(* x.im (* x.im (* y.re y.re)))
6.0ms
(* x.re (* y.im y.im))
6.0ms
(* x.im (* y.re y.re))
14.0ms
(/ (- (* x.re (* x.re (* y.im y.im))) (* x.im (* x.im (* y.re y.re)))) (- (* x.re y.im) (* x.im y.re)))

series56.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* x.im (* x.im (* y.re y.re)))
10.0ms
(* x.re (* y.im y.im))
7.0ms
(* x.im (* y.re y.re))
32.0ms
(/ (- (* x.re (* x.re (* y.im y.im))) (* x.im (* x.im (* y.re y.re)))) (- (* x.re y.im) (* x.im y.re)))

simplify24.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (14.0ms)

IterNodesCost
049991252
149991252

prune84.0ms

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

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1021103
Fresh000
Picked101
Done011
Total1032105

Merged error: 0.0b

Counts
105 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x.re y.im) (* x.im y.re))
0.2b
(/ 1 (+ (* x.re y.im) (* x.im y.re)))
0.5b
(/ 1 (/ 1 (+ (* x.re y.im) (* x.im y.re))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
55×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
26×add-exp-log
18×associate-/r*
16×div-exp
11×associate-/r/
10×add-cbrt-cube
8×rec-exp 1-exp
6×pow1 flip3-+ flip-+ div-inv associate-/l*
5×pow-flip add-log-exp
4×cbrt-undiv
3×inv-pow
2×frac-2neg clear-num
1×+-commutative sum-log remove-double-div
Counts
3 → 137
Calls
3 calls:
4.0ms
(+ (* x.re y.im) (* x.im y.re))
6.0ms
(/ 1 (+ (* x.re y.im) (* x.im y.re)))
9.0ms
(/ 1 (/ 1 (+ (* x.re y.im) (* x.im y.re))))

series37.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(+ (* x.re y.im) (* x.im y.re))
15.0ms
(/ 1 (+ (* x.re y.im) (* x.im y.re)))
11.0ms
(/ 1 (/ 1 (+ (* x.re y.im) (* x.im y.re))))

simplify48.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
049711895
149711895

prune108.0ms

Filtered
71 candidates to 146 candidates (-105.6%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1442146
Fresh000
Picked011
Done011
Total1444148

Merged error: 0.0b

Counts
148 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ 1 (+ (* x.re y.im) (* x.im y.re)))) (cbrt (/ 1 (+ (* x.re y.im) (* x.im y.re)))))
1.3b
(cbrt (/ 1 (+ (* x.re y.im) (* x.im y.re))))
1.3b
(cbrt (/ 1 (+ (* x.re y.im) (* x.im y.re))))
1.3b
(cbrt (/ 1 (+ (* x.re y.im) (* x.im y.re))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
133×cbrt-prod
97×add-sqr-sqrt
79×times-frac
67×*-un-lft-identity
57×add-cube-cbrt
20×swap-sqr
18×associate-*r* associate-*l*
16×unswap-sqr
14×associate-/r/
11×pow1
9×pow1/3 div-inv
7×cbrt-div flip3-+ flip-+
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 165
Calls
4 calls:
20.0ms
(* (cbrt (/ 1 (+ (* x.re y.im) (* x.im y.re)))) (cbrt (/ 1 (+ (* x.re y.im) (* x.im y.re)))))
5.0ms
(cbrt (/ 1 (+ (* x.re y.im) (* x.im y.re))))
5.0ms
(cbrt (/ 1 (+ (* x.re y.im) (* x.im y.re))))
5.0ms
(cbrt (/ 1 (+ (* x.re y.im) (* x.im y.re))))

series197.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(* (cbrt (/ 1 (+ (* x.re y.im) (* x.im y.re)))) (cbrt (/ 1 (+ (* x.re y.im) (* x.im y.re)))))
43.0ms
(cbrt (/ 1 (+ (* x.re y.im) (* x.im y.re))))
43.0ms
(cbrt (/ 1 (+ (* x.re y.im) (* x.im y.re))))
48.0ms
(cbrt (/ 1 (+ (* x.re y.im) (* x.im y.re))))

simplify54.0ms

Algorithm
egg-herbie
Counts
177 → 177
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
051713558

prune301.0ms

Filtered
107 candidates to 177 candidates (-65.4%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1761177
Fresh011
Picked011
Done022
Total1765181

Merged error: 0b

Counts
181 → 5

regimes443.0ms

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
0107
1107

end0.0ms

sample835.0ms

Algorithm
intervals
Results
313.0ms10540×body80valid

Profiling

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