Details

Time bar (total: 1.6s)

sample13.0ms

Algorithm
intervals
Results
5.0ms256×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: 28.5b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* re re) (* im im))
26.7b
(sqrt (+ (* re re) (* im im)))

rewrite18.0ms

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:
10.0ms
(+ (* re re) (* im im))
7.0ms
(sqrt (+ (* re re) (* im im)))

series57.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(+ (* re re) (* im im))
33.0ms
(sqrt (+ (* re re) (* im im)))

simplify49.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 3 (45.0ms)

IterNodesCost
0125177
1530163
21540163
35001162

prune78.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 5.5b

localize14.0ms

Local error

Found 4 expressions with local error:

2.4b
(- (* re re) (* im im))
7.4b
(+ (* (- (pow im 3)) im) (pow re 4))
26.7b
(sqrt (/ (+ (* (- (pow im 3)) im) (pow re 4)) (- (* re re) (* im im))))
37.7b
(/ (+ (* (- (pow im 3)) im) (pow re 4)) (- (* re re) (* im im)))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
25×times-frac
24×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
18×sqrt-prod
8×add-log-exp difference-of-squares
6×add-exp-log add-cbrt-cube
5×pow1
4×associate-/r* associate-/r/
3×flip3-- flip-- associate-/l*
2×rem-sqrt-square flip3-+ flip-+ div-inv associate-/l/
1×cbrt-undiv +-commutative sub-neg frac-2neg sqrt-pow1 pow1/2 sqrt-div diff-log div-exp clear-num sum-log
Counts
4 → 89
Calls
4 calls:
8.0ms
(- (* re re) (* im im))
17.0ms
(+ (* (- (pow im 3)) im) (pow re 4))
32.0ms
(sqrt (/ (+ (* (- (pow im 3)) im) (pow re 4)) (- (* re re) (* im im))))
52.0ms
(/ (+ (* (- (pow im 3)) im) (pow re 4)) (- (* re re) (* im im)))

series222.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(- (* re re) (* im im))
49.0ms
(+ (* (- (pow im 3)) im) (pow re 4))
72.0ms
(sqrt (/ (+ (* (- (pow im 3)) im) (pow re 4)) (- (* re re) (* im im))))
72.0ms
(/ (+ (* (- (pow im 3)) im) (pow re 4)) (- (* re re) (* im im)))

simplify51.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
03271204
114681045
250011027

prune300.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize2.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune3.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.1b

localize1.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune0.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.1b

regimes220.0ms

Accuracy

44.8% (17.1b remaining)

Error of 17.4b against oracle of 0.3b and baseline of 31.4b

bsearch89.0ms

Steps
ItersRangePoint
8
4.9140320295499367e+95
4.453711437584996e+99
4.3578119302412375e+99
9
5.635757950239896e-272
9.425183888186955e-266
3.311151986707603e-267
9
-2.7208954404173676e-215
-6.817140800728622e-223
-8.590449818588775e-223
10
-4.738693089228081e+161
-8.677923561422495e+144
-2.888426659389441e+145

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02610
12610

end0.0ms

sample337.0ms

Algorithm
intervals
Results
168.0ms8000×body80valid