Details

Time bar (total: 3.8s)

sample34.0ms

Algorithm
intervals
Results
16.0ms273×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0197
1367
2487
3667
4727
5727

prune4.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 28.7b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b
(- (* x.im y.re) (* x.re y.im))
28.0b
(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 flip3-- associate-/r/ flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-sub div-exp clear-num flip-+ div-inv
Counts
2 → 44
Calls
2 calls:
3.0ms
(- (* x.im y.re) (* x.re y.im))
7.0ms
(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

series37.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(- (* x.im y.re) (* x.re y.im))
26.0ms
(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

simplify102.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0251464
1938427
23490426
35002426

prune168.0ms

Filtered
50 candidates to 39 candidates (22.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New43750
Fresh000
Picked011
Done000
Total43851

Merged error: 27.9b

Counts
51 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* x.im y.re) (* x.re y.im))
18.6b
(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
30.5b
(sqrt (+ (* y.re y.re) (* y.im y.im)))
30.5b
(sqrt (+ (* y.re y.re) (* y.im y.im)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
18×times-frac sqrt-prod
6×pow1 add-exp-log sqrt-div associate-/r* add-cbrt-cube add-log-exp
3×flip3-+ flip-+ associate-/l*
2×rem-sqrt-square flip3-- sqrt-pow1 pow1/2 associate-/r/ flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
4 → 86
Calls
4 calls:
3.0ms
(- (* x.im y.re) (* x.re y.im))
11.0ms
(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
3.0ms
(sqrt (+ (* y.re y.re) (* y.im y.im)))
3.0ms
(sqrt (+ (* y.re y.re) (* y.im y.im)))

series55.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(- (* x.im y.re) (* x.re y.im))
34.0ms
(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
6.0ms
(sqrt (+ (* y.re y.re) (* y.im y.im)))
6.0ms
(sqrt (+ (* y.re y.re) (* y.im y.im)))

simplify93.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0304910
1990857
23340845
35003845

prune392.0ms

Filtered
98 candidates to 75 candidates (23.5%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New94498
Fresh246
Picked101
Done011
Total979106

Merged error: 24.1b

Counts
106 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
18.6b
(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
30.5b
(sqrt (+ (* y.re y.re) (* y.im y.im)))
30.5b
(sqrt (+ (* y.re y.re) (* y.im y.im)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
95×add-sqr-sqrt
76×times-frac
53×*-un-lft-identity
47×add-cube-cbrt sqrt-prod
28×add-exp-log
24×associate-*r* associate-*l*
18×add-cbrt-cube
15×unswap-sqr
10×sqrt-div
9×div-exp
8×pow1 prod-exp
6×associate-/r* associate-/r/
5×cbrt-undiv flip3-+ flip-+
4×cbrt-unprod add-log-exp
3×div-inv associate-/l*
2×rem-sqrt-square rec-exp sqrt-pow1 pow1/2 1-exp associate-/l/
1×frac-times flip3-- frac-2neg div-sub associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative flip--
Counts
4 → 161
Calls
4 calls:
24.0ms
(* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
8.0ms
(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
3.0ms
(sqrt (+ (* y.re y.re) (* y.im y.im)))
3.0ms
(sqrt (+ (* y.re y.re) (* y.im y.im)))

series74.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
37.0ms
(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
6.0ms
(sqrt (+ (* y.re y.re) (* y.im y.im)))
6.0ms
(sqrt (+ (* y.re y.re) (* y.im y.im)))

simplify73.0ms

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
05822520
126652255
250032140

prune657.0ms

Filtered
173 candidates to 112 candidates (35.3%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1730173
Fresh077
Picked011
Done011
Total1739182

Merged error: 24.1b

Counts
182 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

18.6b
(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
30.5b
(sqrt (+ (* y.re y.re) (* y.im y.im)))
31.6b
(cbrt (+ (* y.re y.re) (* y.im y.im)))
31.6b
(cbrt (+ (* y.re y.re) (* y.im y.im)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
18×times-frac
15×sqrt-prod
6×add-exp-log cbrt-prod associate-/r* add-cbrt-cube
5×pow1
4×cbrt-div flip3-+ sqrt-div flip-+ add-log-exp
3×associate-/l*
2×pow1/3 associate-/r/ associate-/l/
1×cbrt-undiv rem-sqrt-square flip3-- frac-2neg sqrt-pow1 pow1/2 div-sub div-exp clear-num flip-- div-inv
Counts
4 → 85
Calls
4 calls:
8.0ms
(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
3.0ms
(sqrt (+ (* y.re y.re) (* y.im y.im)))
3.0ms
(cbrt (+ (* y.re y.re) (* y.im y.im)))
3.0ms
(cbrt (+ (* y.re y.re) (* y.im y.im)))

series82.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
6.0ms
(sqrt (+ (* y.re y.re) (* y.im y.im)))
23.0ms
(cbrt (+ (* y.re y.re) (* y.im y.im)))
20.0ms
(cbrt (+ (* y.re y.re) (* y.im y.im)))

simplify128.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 3 (118.0ms)

IterNodesCost
03491012
11126951
24369928
35002912

prune486.0ms

Filtered
97 candidates to 77 candidates (20.6%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New96197
Fresh066
Picked011
Done022
Total9610106

Merged error: 24.1b

Counts
106 → 10

regimes510.0ms

Accuracy

27.5% (2.3b remaining)

Error of 25.7b against oracle of 23.4b and baseline of 26.6b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02320
12520
22520

end0.0ms

sample749.0ms

Algorithm
intervals
Results
365.0ms8458×body80valid

Profiling

Loading profile data...