Details

Time bar (total: 2.8s)

sample19.0ms

Algorithm
intervals
Results
9.0ms273×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0197
1367
2487
3667
4727
5727

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.2b

localize12.0ms

Local error

Found 2 expressions with local error:

0.2b
(- (* x.im y.re) (* x.re y.im))
28.7b
(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

rewrite13.0ms

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:
2.0ms
(- (* x.im y.re) (* x.re y.im))
9.0ms
(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

series122.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(- (* x.im y.re) (* x.re y.im))
86.0ms
(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

simplify105.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0251464
1938427
23504426
35001426

prune148.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 28.4b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* x.im y.re) (* x.re y.im))
17.3b
(/ (- (* 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)))

rewrite22.0ms

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:
2.0ms
(- (* x.im y.re) (* x.re y.im))
10.0ms
(/ (- (* 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)))

series223.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(- (* x.im y.re) (* x.re y.im))
111.0ms
(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
35.0ms
(sqrt (+ (* y.re y.re) (* y.im y.im)))
40.0ms
(sqrt (+ (* y.re y.re) (* y.im y.im)))

simplify95.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0304910
1990857
23354845
35001845

prune289.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 25.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* x.im y.re) (* x.re y.im))
17.4b
(* (- (* x.im y.re) (* x.re y.im)) (/ 1 (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)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
24×associate-*r*
22×*-un-lft-identity times-frac
20×add-cube-cbrt
17×sqrt-prod
13×add-exp-log
9×add-cbrt-cube
8×pow1
6×sqrt-div add-log-exp
5×unswap-sqr
4×prod-exp
3×flip3-- flip3-+ associate-*l* flip-- flip-+
2×frac-times rem-sqrt-square sqrt-pow1 pow1/2 div-exp associate-*l/ associate-/r/ cbrt-unprod
1×cbrt-undiv sub-neg rec-exp diff-log 1-exp associate-*r/ pow-prod-down un-div-inv *-commutative div-inv
Counts
4 → 95
Calls
4 calls:
2.0ms
(- (* x.im y.re) (* x.re y.im))
27.0ms
(* (- (* x.im y.re) (* x.re y.im)) (/ 1 (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)))

series216.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(- (* x.im y.re) (* x.re y.im))
109.0ms
(* (- (* x.im y.re) (* x.re y.im)) (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))))
37.0ms
(sqrt (+ (* y.re y.re) (* y.im y.im)))
35.0ms
(sqrt (+ (* y.re y.re) (* y.im y.im)))

simplify45.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0378918
11807831
25001807

prune292.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 25.2b

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b
(- (* x.im y.re) (* x.re y.im))
0.5b
(/ 1 (+ (* y.re y.re) (* y.im y.im)))
28.5b
(* (- (* x.im y.re) (* x.re y.im)) (/ 1 (+ (* y.re y.re) (* y.im y.im))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
20×*-un-lft-identity times-frac
19×add-cube-cbrt
16×add-exp-log
15×associate-*r*
10×add-cbrt-cube
6×pow1
5×add-log-exp
4×div-exp prod-exp associate-/r/
3×flip3-- associate-*l* associate-/r* flip-- associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp flip3-+ 1-exp associate-*l/ cbrt-unprod flip-+ div-inv
1×sub-neg pow-flip frac-2neg diff-log associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
3 → 87
Calls
3 calls:
2.0ms
(- (* x.im y.re) (* x.re y.im))
5.0ms
(/ 1 (+ (* y.re y.re) (* y.im y.im)))
21.0ms
(* (- (* x.im y.re) (* x.re y.im)) (/ 1 (+ (* y.re y.re) (* y.im y.im))))

series165.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(- (* x.im y.re) (* x.re y.im))
40.0ms
(/ 1 (+ (* y.re y.re) (* y.im y.im)))
88.0ms
(* (- (* x.im y.re) (* x.re y.im)) (/ 1 (+ (* y.re y.re) (* y.im y.im))))

simplify47.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0343780
11563687
25002659

prune185.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 25.2b

regimes147.0ms

Accuracy

0% (3.2b remaining)

Error of 26.2b against oracle of 23.0b and baseline of 26.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02114
12114

end0.0ms

sample494.0ms

Algorithm
intervals
Results
293.0ms8485×body80valid