Details

Time bar (total: 3.0s)

sample13.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
074
174

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.3b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* re re) (* im im))
28.5b
(sqrt (+ (* re re) (* im im)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt add-log-exp
3×pow1 add-cube-cbrt *-un-lft-identity sqrt-prod
2×add-exp-log flip3-+ sqrt-div add-cbrt-cube flip-+
1×+-commutative rem-sqrt-square sqrt-pow1 pow1/2 sum-log
Counts
2 → 26
Calls
2 calls:
4.0ms
(+ (* re re) (* im im))
4.0ms
(sqrt (+ (* re re) (* im im)))

series65.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(+ (* re re) (* im im))
37.0ms
(sqrt (+ (* re re) (* im im)))

simplify52.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 3 (48.0ms)

IterNodesCost
0125177
1530163
21540163
35001162

prune84.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 6.2b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* re re) (* im im))
5.8b
(exp (log (sqrt (+ (* re re) (* im im)))))
28.5b
(sqrt (+ (* re re) (* im im)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×pow1 log-prod exp-prod exp-sum sqrt-prod
5×add-log-exp
4×sqrt-div
3×add-exp-log flip3-+ log-pow add-cbrt-cube flip-+
2×log-div sqrt-pow1 pow1/2 exp-diff
1×+-commutative rem-sqrt-square sum-log rem-exp-log
Counts
3 → 48
Calls
3 calls:
4.0ms
(+ (* re re) (* im im))
5.0ms
(exp (log (sqrt (+ (* re re) (* im im)))))
4.0ms
(sqrt (+ (* re re) (* im im)))

series101.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(+ (* re re) (* im im))
35.0ms
(exp (log (sqrt (+ (* re re) (* im im)))))
39.0ms
(sqrt (+ (* re re) (* im im)))

simplify54.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 3 (49.0ms)

IterNodesCost
0172330
1601313
21676304
35001296

prune126.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 6.2b

localize20.0ms

Local error

Found 4 expressions with local error:

5.6b
(pow (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))
28.5b
(sqrt (+ (* re re) (* im im)))
28.5b
(sqrt (+ (* re re) (* im im)))
28.5b
(sqrt (+ (* re re) (* im im)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
10×pow1 add-cube-cbrt *-un-lft-identity
9×pow-unpow sqrt-prod
6×cbrt-prod sqrt-div
5×add-log-exp
4×add-exp-log sqrt-pow1 pow1/2 add-cbrt-cube
3×unpow-prod-down rem-sqrt-square pow-pow flip3-+ log-pow flip-+
1×pow-to-exp exp-prod exp-to-pow pow-exp sqr-pow
Counts
4 → 70
Calls
4 calls:
4.0ms
(pow (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))
4.0ms
(sqrt (+ (* re re) (* im im)))
7.0ms
(sqrt (+ (* re re) (* im im)))
4.0ms
(sqrt (+ (* re re) (* im im)))

series400.0ms

Counts
4 → 12
Calls
4 calls:
290.0ms
(pow (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))
40.0ms
(sqrt (+ (* re re) (* im im)))
35.0ms
(sqrt (+ (* re re) (* im im)))
35.0ms
(sqrt (+ (* re re) (* im im)))

simplify56.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 3 (47.0ms)

IterNodesCost
0189925
1499852
21541846
35002842

prune275.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 6.2b

localize30.0ms

Local error

Found 4 expressions with local error:

6.0b
(pow (pow (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (cbrt 1/2)) (cbrt (log (+ (* re re) (* im im)))))
28.5b
(sqrt (+ (* re re) (* im im)))
28.5b
(sqrt (+ (* re re) (* im im)))
29.5b
(log (+ (* re re) (* im im)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
10×unpow-prod-down
8×pow1
7×pow-unpow
6×add-exp-log sqrt-prod
4×cbrt-prod sqrt-div pow-exp add-cbrt-cube add-log-exp
3×log-prod flip3-+ flip-+
2×pow-to-exp rem-sqrt-square log-div sqrt-pow1 pow1/2 log-pow sqr-pow
1×pow-pow rem-log-exp
Counts
4 → 71
Calls
4 calls:
4.0ms
(pow (pow (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (cbrt 1/2)) (cbrt (log (+ (* re re) (* im im)))))
4.0ms
(sqrt (+ (* re re) (* im im)))
4.0ms
(sqrt (+ (* re re) (* im im)))
4.0ms
(log (+ (* re re) (* im im)))

series625.0ms

Counts
4 → 12
Calls
4 calls:
500.0ms
(pow (pow (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (cbrt 1/2)) (cbrt (log (+ (* re re) (* im im)))))
39.0ms
(sqrt (+ (* re re) (* im im)))
34.0ms
(sqrt (+ (* re re) (* im im)))
51.0ms
(log (+ (* re re) (* im im)))

simplify71.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 3 (55.0ms)

IterNodesCost
02921150
17011099
221491097
350021093

prune349.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 6.2b

regimes255.0ms

Accuracy

57.1% (10.2b remaining)

Error of 18.2b against oracle of 8.0b and baseline of 31.7b

bsearch20.0ms

Steps
ItersRangePoint
5
6.409367159269928e+131
1.4522094872280968e+132
9.634966723363643e+131
2
-2.319338119088684e+59
-1.9710212454209794e+59
-2.2710920961423764e+59

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0175
1175

end0.0ms

sample321.0ms

Algorithm
intervals
Results
196.0ms8000×body80valid